CITED PAPERS |
Total Citations: 847 |
H-index = 15 |
M. Marhl, V. Akman |
Cited in: 1*.
Rosenfeld A, Image analysis and computer vision, Computer Vision and
Image Understanding 63 (1995) 568-602. |
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M. Marhl, N. Guid, C. Oblonšek, M.
Horvat Extensions of sweep surface constructions Computers & Graphics 20 (1996) 893-903 |
Cited in: 1*. Rosenfeld A, Image analysis and computer vision: 1997, Computer Vision and Image Understanding 70 (1998) 239-284. 2*. Ohtake Y, Yukita S, Kunii TL, A Dual Visualizer Method for Interactive Topology, MultiMedia Modeling, Lausanne, Switzerland, 1998, pp.163-172. 3. Sharma
SB, Potluri P, Atkinson J, Porat I, Optimization algorithms for mapping
three-dimensional woven composite preforms, Book Series: IMECHE Conference
Transactions Volume: 2000 Issue: 5 pp. 61-70 (2000). 6*. Sharma SB, Porat I, Potluri P, Atkinson J, Manufacturing of doubly curved tubular composite structures: Mapping and weave modifications, J. Thermoplastic Composite Materials 15 (2002) 209-225. 7. Guid N, Kolmanic S, Strnad D, SURFMOD: Teaching tool for parametric curve and surface methods in CAGD based on comparison and analysis, IEEE Trans. Educ. 49 (2006) 292-301. 8. You LH,
Yang XS, Pachulski M, Zhang JJ, Boundary constrained swept surfaces for
modelling and animation, Comput. Graph. Forum 26
(2007) 313-322. |
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M. Marhl, M. Brumen, R. Glaser, R. Heinrich |
Cited in: 1*.
Marhl M, Schuster S, Brumen M, Heinrich R, Modelling oscillations of calcium
and endoplasmic reticulum transmembrane potential - Role of the signalling
and buffering proteins and of the size of the Ca2+ sequestering ER subcompartments,
Bioelectrochem. and Bioenerg. 46 (1998) 79-90. |
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T. Schmidt, M. Marhl |
Cited in: 1*.
Renna L, Mass on a spring map for the dripping faucet at low flow rates,
Phys. Rev. E 64 (2001) art. no. 046213. 5*. Kodba S, Perc M, Marhl M, Detecting chaos from a time series, Eur. J. Phys. 26 (2005) 205-215. 6*. Perc M, Visualizing the attraction of strange attractors, Eur. J. Phys. 26 (2005) 579-587. 7*.
Perc M, Nonlinear time series analysis of the human electrocardiogram,
Eur. J. Phys. 26 (2005) 757-768. |
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M. Marhl, S. Schuster, M. Brumen, R. Heinrich Modelling the interrelations between calcium oscillations and ER membrane potential oscillations Biophysical Chemistry 63 (1997) 221-239 |
Cited in: 1*.
Schuster S, Ouhabi R, Rigoulet M, Mazat JP, Modelling the interrelation
between the transmembrane potential and pH difference across membranes
with electrogenic proton transport upon build-up of the proton-motive
force, Bioelectrochem. and Bioenerg. 45
(1998) 181-192. 4*. Gradmann
D, Hoffstadt J, Electrocoupling of ion transporters in plants: Interaction
with internal ion concentrations, J. Membr. Biol. 166
(1998) 51-59. 6. Marhl M, Haberichter T, Brumen M, Heinrich R, Complex calcium oscillations and the role of mitochondria and cytosolic proteins, BioSystems 57 (2000) 75-86. 7. Haberichter T, Marhl M, Heinrich R, Birhythmicity, trirhythmicity and chaos in bursting calcium oscillations, Biophys. Chem. 90 (2001) 17-30. 8. Schuster S, Marhl M, Bifurcation analysis of calcium oscillations: Time-scale separation, canards, and frequency lowering, J. Biol. Syst. 9 (2001) 291-314. 9. Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium oscillations - From single-cell responses to intercellular signalling, Eur. J. Biochem. 269 (2002) 1333-1355. 10.
Haberichter T, Roux E, Marhl M, Mazat JP, The influence of different InsP(3)
receptor isoforms on Ca2+ signaling in tracheal smooth muscle cells, Bioelectrochemistry
57 (2002) 129-138. 13. Papp B, Brouland JP, Gelebart P, Kovacs T, Chomienne C, Endoplasmic reticulum calcium. transport ATPase expression during differentiation of colon cancer and leukaemia cells, Biochem. Bioph. Res. Co. 322 (2004) 1223-1236. 14. Price ND, Reed JL, Palsson BO, Genome-scale models of microbial cells: Evaluating the consequences of constraints, Nat. Rev. Microbiol. 2 (2004) 886-897. 15. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 16. Burdakov D, Verkhratsky A, Biophysical re-equilibration of Ca2+ fluxes as a simple biologically plausible explanation for complex intracellular Ca2+ release patterns, FEBS Lett. 580 (2006) 463-468. 17. Brouland JP, Valleur P, Papp B, Expression of SERCA pumps during cell differentiation and tumorigenesis: application to colonic carcinogenesis, Ann. Pathol. 26 (2006) 159-172. 18. Yamashita M, 'Quantal' Ca2+ release reassessed - a clue to oscillation and synchronization, FEBS Lett. 580 (2006) 4979-4983. 19. Zhu CL, Jia Y, Liu Q, Yang LJ, Zhan X., A mesoscopic stochastic mechanism of cytosolic calcium oscillations, Biophys. Chem. 125 (2007) 201-212. 20*. Gao Z, Lu Q, Symbolic dynamics of coupled neuron model of calcium and voltage, Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics 33 (2007) 925-929. 21. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 22. Fajmut A, Brumen M, MLC-kinase/phosphatase control of Ca2+ signal transduction in airway smooth muscles, J. theor. Biol. 252 (2008) 474-481. 23. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 24. Chen XF, Li CX, Wang PY, Li M, Wang WC, Dynamic simulation of the effect of calcium-release activated calcium channel on cytoplasmic Ca2+ oscillation, Biophys. Chem. 136 (2008) 87-95. 25. Dupont G, Combettes L, What can we learn from the irregularity of Ca2+ oscillations? Chaos 19 (2009) Art. No. 037112. 26. Chen XF, Li CX, Wang PY, Wang WC, Cytoplasmic Ca2+ Dynamics under the Interplay between the Different IP3R Gating Models and the Plasma Membrane Ca2+ Influx, Chinese Phys. Lett. 27 (2010) Art. No.: 010504. 27. Sotero RC, Martinez-Cancino R, Dynamical Mean Field Model of a Neural-Glial Mass, Neural Comput. 22 (2010) 969-997. 28. Esser AT, Smith KC, Gowrishankar TR, Vasilkoski Z, Weaver JC, Mechanisms for the Intracellular Manipulation of Organelles by Conventional Electroporation, Biophys. J. 98 (2010) 2506-2514. 29. Knoke
B, Bodenstein C, Marhl M, Perc M, Schuster S, Jensen's inequality as a
tool for explaining the effect of oscillations on the average cytosolic
calcium concentration, Theor. Biocsi. 129 (2010)
25-38. |
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M. Marhl, S. Schuster, M. Brumen |
Cited in: 1*.
Marhl M, Schuster S, Brumen M, Heinrich R, Modelling oscillations of calcium
and endoplasmic reticulum transmembrane potential - Role of the signalling
and buffering proteins and of the size of the Ca2+ sequestering ER subcompartments,
Bioelectrochem. and Bioenerg. 46 (1998) 79-90.
5.
Haberichter T, Marhl M, Heinrich R, Birhythmicity, trirhythmicity and
chaos in bursting calcium oscillations, Biophys. Chem. 90
(2001) 17-30. 7. Schuster S, Marhl M, Bifurcation analysis of calcium oscillations: Time-scale separation, canards, and frequency lowering, J. Biol. Syst. 9 (2001) 291-314. 8.
Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium
oscillations - From single-cell responses to intercellular signalling,
Eur. J. Biochem. 269 (2002) 1333-1355. 21. Papp B, Brouland JP, Gelebart P, Kovacs T, Chomienne C, Endoplasmic reticulum calcium. transport ATPase expression during differentiation of colon cancer and leukaemia cells, Biochem. Bioph. Res. Co. 322 (2004) 1223-1236. 22. Florea AM, Dopp E, Busselberg D, Elevated Ca-i(2+) transients induced by trimethyltin chloride in HeLa cells: types and levels of response, Cell Calcium 37 (2005) 251-258. 23. Schuster S, Knoke B, Marhl M, Differential regulation of proteins by bursting calcium oscillations - a theoretical study, BioSystems 81 (2005) 49-63. 24. Heart E, Corkey RF, Wikstrom JD, Shirihai OS, Corkey BE , Glucose-dependent increase in mitochondrial membrane potential, but not cytoplasmic calcium, correlates with insulin secretion in single islet cells. Am. J. Physiol. - Endocr. Metabol. 290 (2006) E143-E148. 25. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 26. Camello-Almaraz C, Gomez-Pinilla PJ, Pozo MJ, Camello PJ, Mitochondrial reactive oxygen species and Ca2+ signaling, Am. J. Physiol.-Cell Ph. 291 (2006) C1082-C1088. 27. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 28. Zhu CL, Jia Y, Liu Q, Yang LJ, Zhan X., A mesoscopic stochastic mechanism of cytosolic calcium oscillations, Biophys. Chem. 125 (2007) 201-212. 29. Piazza V, Ciubotaru CD, Gale JE, Mammano F, Purinergic signalling and intercellular Ca2+ wave propagation in the organ of Corti, Cell Calcium 41 (2007) 77-86. 30. Chen HS, Zhang JQ, Liu JQ, Selective effects of external noise on Ca2+ signal in mesoscopic scale biochemical cell systems, Biophys. Chem. 125 (2007) 397-402. 31. Kang M, Othmer HG, The variety of cytosolic calcium responses and possible roles of PLC and PKC, Phys. Biol. 4 (2007) 325-343. 32. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 33. Diederichs F, Ion homeostasis and the functional roles of SERCA reactions in stimulus-secretion coupling of the pancreatic beta-cell - A mathematical simulation, Biophys. Chem. 134 (2008) 119-143. 34. Marhl
M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains
the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+
oscillations in hepatocytes, J. theor. Biol. 252
(2008) 419-426. |
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M. Marhl, S. Schuster, M. Brumen, R. Heinrich |
Cited in: 1. Marhl M, Haberichter T, Brumen M, Heinrich R, Complex calcium oscillations and the role of mitochondria and cytosolic proteins, BioSystems 57 (2000) 75-86. 2.
Dupont G, Swillens S, Clair C, Tordjmann T, Combettes L, Hierarchical
organization of calcium signals in hepatocytes: from experiments to models,
Biochim. et Biophys. Acta - Mol. Cell Res. 1498
(2000) 134-152. 4.
Schuster S, Marhl M, Bifurcation analysis of calcium oscillations: Time-scale
separation, canards, and frequency lowering, J. Biol. Syst. 9
(2001) 291-314. 6.
Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium
oscillations - From single-cell responses to intercellular signalling,
Eur. J. Biochem. 269 (2002) 1333-1355. 9. Schuster S, Knoke B, Marhl M, Differential regulation of proteins by bursting calcium oscillations - a theoretical study, BioSystems 81 (2005) 49-63. 10. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 11. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 12. Wang J, Huang X, Huang W, A quantitative kinetic model for ATP-induced intracellular Ca2 + oscillations, J. theor. Biol. 245 (2007) 510-519. 13. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 14. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 15. De Pitta M, Volman V, Levine H, Pioggia G, De Rossi D, Ben-Jacob E , Coexistence of amplitude and frequency modulations in intracellular calcium dynamics, Phys. Rev. E 77 (2008) Art. No. 030903. 16. Fajmut A, Brumen M, MLC-kinase/phosphatase control of Ca2+ signal transduction in airway smooth muscles, J. theor. Biol. 252 (2008) 474-481. 17. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 18. Tomaskova Z, Ondrias K, Mitochondrial chloride channels - What are they for?, FEBS Lett. 584 (2010) 2085-2092. |
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S. Schuster, M. Marhl, M. Brumen, R. Heinrich In: Holcombe M., Paton R. (Eds.) Information Processing in Cells and Tissues. New York, London, Plenum Press, 1998, 137-150. |
Cited in: 1. Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium oscillations - From single-cell responses to intercellular signalling, Eur. J. Biochem. 269 (2002) 1333-1355. |
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M. Marhl, T. Haberichter, M. Brumen, R.
Heinrich Complex calcium oscillations and the role of mitochondria and cytosolic proteins Biosystems 57 (2000) 75-86 |
Cited in: 1.
Stefano GB, Prevot V, Cadet P, Dardik I, Vascular pulsations stimulating
nitric oxide release during cyclic exercise may benefit health: A molecular
approach (Review), Int. J. Mol. Medicine 7 (2001)
119-129. 3.
Haberichter T, Marhl M, Heinrich R, Birhythmicity, trirhythmicity and
chaos in bursting calcium oscillations, Biophys. Chem. 90
(2001) 17-30. 5.
Schuster S, Marhl M, Bifurcation analysis of calcium oscillations: Time-scale
separation, canards, and frequency lowering, J. Biol. Syst. 9
(2001) 291-314. 7. Yu JC, Braselton JP, Abell ML, Borke JL, The identification of calcium oscillators in immature rat cranial sutures, Craniofacial Surgery 9 (2001) 139-141. 8. Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium oscillations - From single-cell responses to intercellular signalling, Eur. J. Biochem. 269 (2002) 1333-1355. 9*.
Fajmut A, Brumen M, Frequency and amplitude analysis of bursting oscillations
in the mathematical model of intracellular calcium oscillations, Eur.
J. Biochem. 270 Supp. 1 (2003) 228. 19*. Chen
C, Zeng R, Stochastic kinetics of intracellular calcium oscillations,
J. Huazhong Univ. Sci. Technolog. Med. Sci. 23
(2003) 427-429. 28. Papp B, Brouland JP, Gelebart P, Kovacs T, Chomienne C, Endoplasmic reticulum calcium. transport ATPase expression during differentiation of colon cancer and leukaemia cells, Biochem. Bioph. Res. Co. 322 (2004) 1223-1236. 29. Perc M, Marhl M, Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect - A case study on calcium oscillations, Int. J. Bifurcat. Chaos 14 (2004) 2735-2751. 30*. Neagu M, Nicola IR, Geometric dynamics of calcium oscillations ODEs systems, Balk. J. Geom. Appl. 9 (2004) 36-67. 31. Sanchez P, Lorenzo M, Rewald E, Stochastic resonance-like phenomena in the context of the alimentary tract, Ann. NY. Acad. Sci. 1029 (2004)390-393. 32. Tiveci S, Akin A, Cakir T, Saybasili H, Ulgen K, Modelling of calcium dynamics in brain energy metabolism and Alzheimer's disease, Comput. Biol. Chem. 29 (2005) 151-162. 33. Kummer U, Krajnc B, Pahle J, Green AK, Dixon CJ, Marhl M, Transition from stochastic to deterministic behavior in calcium oscillations, Biophys. J. 89 (2005) 1603-1611. 34*. Maurya MR, Subramaniam S, Modeling of Heterotrimeric G-Protein Mediated Calcium Response in Raw 264.7 Macrophage Cells, AIChE Annual Meeting (Cincinnati, OH), Conference Proceedings, 2005, pp. 9252-9253. 35. Perc M, Marhl M, Chaos in temporarily destabilized regular systems with the slow passage effect, Chaos Solitons & Fractals 27 (2006) 395-403. 36. Wolf J, Becker-Weimann S, Heinrich R, Analysing the robustness of cellular rhythms, Syst. Biol. 2 (2005) 35-41. 37. Kmiecik S, Maciejewska G, Adach A, Grabowski T, Gulanowski B, Cieslak-Golonka M, Synthesis, physicochemical and pharmacokinetic characterization of calcium uronates, J. Inorg. Biochem. 100 (2006) 143-151. 38. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 39. Foreman MA, Smith J, Publicover SJ, Characterisation of serum-induced intracellular Ca2+ oscillations in primary bone marrow stromal cells, J. Cell. Physiol. 206 (2006) 664-671. 40. Politi A, Gaspers LD, Thomas AP, Höfer T, Models of IP3 and Ca2+ oscillations: Frequency encoding and identification of underlying feedbacks, Biophys. J. 90 (2006) 3120-3133. 41. Sneyd J, Modeling IP3-dependent calcium dynamics in non-excitable cells, Lect. Notes Math. 1867 (2005) 15-61. 42. Fages F, Soliman S, Type inference in systems biology, Lect. Notes Comput. Sc. 4210 (2006) 48-62. 43. Pokhilko AV, Ataullakhanov FI, Holmuhamedov EL, Mathematical model of mitochondrial ionic homeostasis: Three modes of Ca2+ transport, J. theor. Biol. 243 (2006) 152-169. 44. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 45*. Chauvet P, Dupont JM, Chauvet GA, On the integration of physiological mechanisms in the nervous tissue using the MTIP. Synaptic plasticity depending on neurons-astrocytes-capillaries interations, J. Integrat. Neurosc. 5 (2006) 443-482. 46. Sabens D, Aehle M, Steyer G, Kourennyi D, Deng CX, Calcium imaging of sonoporation of mammalian cells, AIP Conf. Proc. 829 (2006) 533-537. 47. Zhu CL, Jia Y, Liu Q, Yang LJ, Zhan X., A mesoscopic stochastic mechanism of cytosolic calcium oscillations, Biophys. Chem. 125 (2007) 201-212. 48. Sun S, Liu YM, Lipsky S, Cho M, Physical manipulation of calcium oscillations facilitates osteodifferentiation of human mesenchymal stem cells, FASEB J. 21 (2007) 1472-1480. 49. Maurya MR, Subramaniam S, Kinetic model for calcium dynamics in RAW 264.7 cells: 2. Knockdown response and long-term response, Biophys. J. 93 (2007) 729-740. 50. Maurya MR, Subramaniam S, Kinetic model for calcium dynamics in RAW 264.7 cells: 1. Mechanisms, parameters, and subpopulational variability, Biophys. J. 93 (2007) 709-728. 51. Maurya MR, Benner C, Pradervand S, Gass C, Subramaniam S, Systems biology of macrophages, Curr. Top. Inate Immun. 598 (2007) 62-79. 52. Kumon RE, Parikh P, Sabens D, Aehle M, Kourennyi D, Deng CX, Measuring and modeling sonoporation dynamics in mammalian cells via calcium imaging, AIP Conference Proceedings 911 (2007) 484-491. 53. Kang M, Othmer HG, The variety of cytosolic calcium responses and possible roles of PLC and PKC, Phys. Biol. 4 (2007) 325-343. 54. Freedenberg M, Kaddi C, Quo CF, Wang MD, Review of systems biology simulation tools for translational research, Proceedings of the 7th IEEE International Conference on Bioinformatics and Bioengineering, BIBE, Art. No. 4375588, 2007, pp. 358-365. 55. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 56. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 57. Corrias A, Buist ML, Quantitative cellular description of gastric slow wave activity, Am. J. Physiol. - Gastr. L. 294 (2008) G989-G995. 58. Fajmut A, Brumen M, MLC-kinase/phosphatase control of Ca2+ signal transduction in airway smooth muscles, J. theor. Biol. 252 (2008) 474-481. 59. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 60. Wang Y, Li QS, System-size resonance for intracellular and intercellular calcium signaling, Biophys. Chem. 136 (2008) 32-37. 61. Geiger JE, Magoski NS, Ca2+-induced Ca2+ release in Aplysia bag cell neurons requires interaction between mitochondrial and endoplasmic reticulum stores, J. Neurophysiol. 100 (2008) 24-37. 62. Fages F, Soliman S, Abstract interpretation and types for systems biology, Theor. Comput. Sci. 403 (2008) 52-70. 63. Ji QB, Lu QS, Yang ZQ, Duan LX, Bursting Ca2+ Oscillations and Synchronization in Coupled Cells, Chinese Phys. Lett. 25 (2008) 3879-3882. 64. Hu R, He ML, Hu H, Yuan BX, Zang WJ, Lau CP, Tse HF, Li GR, Characterization of Calcium Signaling Pathways in Human Preadipocytes, J. Cell. Physiol. 220 (2009) 765-770. 65. Siso-Nadal F, Fox JJ, Laporte SA, Hebert TE, Swain PS, Cross-Talk between Signaling Pathways Can Generate Robust Oscillations in Calcium and cAMP. PLoS ONE. 4 (2009) Art. No. e7189. 66. Chen JB, Tao R, Sun HY, Tse HF, Lau CP, Li GR, Multiple Ca2+ Signaling Pathways Regulate Intracellular Ca2+ Activity in Human Cardiac Fibroblasts. J. Cell. Physiol. 223 (2010) 68-75. 67. Dupont G, Croisier H, Spatiotemporal organization of Ca2+ dynamics: a modeling-based approach. HFSP Journal 4 (2010) 43-51. 68. Knoke B, Bodenstein C, Marhl M, Perc M, Schuster S, Jensen's inequality as a tool for explaining the effect of oscillations on the average cytosolic calcium concentration. Theor. Biosci. 129 (2010) 25-38. 69. Stefano GB, Esch T, Bilfinger TV, Kream RM, Proinflammation and preconditioning protection are part of a common nitric oxide mediated process. Medical Sci. Monitor 16 (2010) RA125-RA130. 70. Vanin
AF, Mikoyan VD, Rubtsov NM, Kubrina LN, Autowave distribution of nitric
oxide and its endogenous derivatives in biosystems strongly enhances their
biological effects: A working hypothesis. Nitric Oxide-Biol. Ch.
23 (2010) 175-180. |
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T. Haberichter, M. Marhl, R. Heinrich |
Cited in: 1. Grubelnik V, Larsen AZ, Kummer U, Olsen LF, Marhl M, Mitochondria regulate the amplitude of simple and complex calcium oscillations, Biophys. Chem. 94 (2001) 59-74. 2.
Schuster S, Marhl M, Bifurcation analysis of calcium oscillations: Time-scale
separation, canards, and frequency lowering, J. Biol. Syst. 9
(2001) 291-314. 4.
Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium
oscillations - From single-cell responses to intercellular signalling,
Eur. J. Biochem. 269 (2002) 1333-1355. 18. Perc M, Marhl M, Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect - A case study on calcium oscillations, Int. J. Bifurcat. Chaos 14 (2004) 2735-2751. 19*. Neagu M, Nicola IR, Geometric dynamics of calcium oscillations ODEs systems, Balk. J. Geom. Appl. 9 (2004) 36-67. 20. Sanchez P, Lorenzo M, Rewald E, Stochastic resonance-like phenomena in the context of the alimentary tract, Ann. NY. Acad. Sci. 1029 (2004)390-393. 21. Schuster S, Knoke B, Marhl M, Differential regulation of proteins by bursting calcium oscillations - a theoretical study, BioSystems 81 (2005) 49-63. 22. Perc M, Marhl M, Chaos in temporarily destabilized regular systems with the slow passage effect, Chaos Solitons & Fractals 27 (2006) 395-403. 23. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 24. Bien H, Yin LH, Entcheva E, Calcium instabilities in mammalian cardiomyocyte networks, Biophys. J. 90 (2006) 2628-2640. 25. Zhu CL, Jia Y, Liu Q, Yang LJ, Zhan X., A mesoscopic stochastic mechanism of cytosolic calcium oscillations, Biophys. Chem. 125 (2007) 201-212. 26. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 27. Rajesh S, Sinha S, Sinha S, Synchronization in coupled cells with activator-inhibitor pathways, Phys. Rev. E 75 (2007) Art. No. 011906. 28. Koseska A, Volkov E, Zaikin A, Kurths J, Inherent multistability in arrays of autoinducer coupled genetic oscillators, Phys. Rev. E 75 (2007) art. no. 031916. 29. Wang J, Huang X, Huang W, A quantitative kinetic model for ATP-induced intracellular Ca2 + oscillations, J. theor. Biol. 245 (2007) 510-519. 30. Wang Q, Gao QY, Zhang L, Li J, Wang JH, Intermittent spiral breakup in the reaction-diffusion medium exhibiting birhythmic dynamics, Chem. Phys. Lett. 439 (2007) 327-331. 31. Maurya MR, Subramaniam S, Kinetic model for calcium dynamics in RAW 264.7 cells: 1. Mechanisms, parameters, and subpopulational variability, Biophys. J. 93 (2007) 709-728. 32. Maurya MR, Benner C, Pradervand S, Gass C, Subramaniam S, Systems biology of macrophages, Curr. Top. Inate Immun. 598 (2007) 62-79. 33. Cartwright JHE, Montagne R, Piro N, Piro O, Fronts between rhythms: Spatiotemporal dynamics of extended polyrhythmic media, Phys, Rev. Lett. 99 (2007) art. no. 174101. 34. Kadji HGE, Yamapi R, Orou JBC, Synchronization of two coupled self-excited systems with multi-limit cycles, Chaos 17 (2007) art. no. 033113. 35*. Gao Z, Lu Q, Symbolic dynamics of coupled neuron model of calcium and voltage, Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics 33 (2007) 925-929. 36. Fajmut A, Brumen M, MLC-kinase/phosphatase control of Ca2+ signal transduction in airway smooth muscles, J. theor. Biol. 252 (2008) 474-481. 37. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 38. Kosuta S, Hazledine S, Sun J, Miwa H, Morris RJ, Downie JA, Oldroyd GED, Differential and chaotic calcium signatures in the symbiosis signaling pathway of legumes, P. Natl. Acad. Sci. USA 105 (2008) 9823-9828. 39. Suguna C, Sinha S, Synchronization in multicell systems exhibiting dynamic plasticity, Pramana-J. Phys. 71 (2008) 423-435. 40. Hazledine S, Sun J, Wysham D, Downie AJ, Oldroyd GED, Morris RJ, Nonlinear time series analysis of nodulation factor induced calcium oscillations: Evidence for deterministic chaos? PLoS ONE 4 (2009) Art. No. e6637. 41. Newman
JP, Butera RJ, Mechanism, dynamics, and biological existence of multistability
in a large class of bursting neurons, Chaos 20 (2010)
Art. No. 023118. |
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S. Schuster, M. Marhl |
Cited in: 1. Schuster S, Marhl M, Höfer T, Modelling of simple and complex calcium oscillations - From single-cell responses to intercellular signalling, Eur. J. Biochem. 269 (2002) 1333-1355. 2. Chiew
SP, Lie ST, Huang ZW, Multi-axes fatigue tests of tubular T-joints under
complex loads, Proceedings of the Twelfth (2002) International Offshore
and Polar Engineering Conference Vol. 4 (2002)
103-110. 6. Kuhlmann U, Gunther HP, Saul R, Haderle MU, Welded circular hollow section (CHS) joints in bridges, 10th International Symposium on Tubular Structures, Sept. 18-20, 2003 Madrid, Spain, Tubular Structures X (2003) 55-62. 7. Sturm
S, Nussbaumer A, Hirt MA, Fatigue behaviour of cast steel nodes in bridge
structures, 10th International Symposium on Tubular Structures, Sept.
18-20, 2003 Madrid, Spain, Tubular Structures X (2003) 357-364. 11. Vanag VK, Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions, Phys. Usp. 47 (2004) 923-941. 12*. Ullner E, Noise-induced phenomena of signal transmission in excitable neural models, Dissertation, Institut für Physik, Fakultät Mathematik und Naturwissenschaften, Universität Potsdam, Germany, 2004. 13. Perc M, Marhl M, Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior, Phys. Rev. E 71 (2005) art. no. 026229. 14. Puebla H, Controlling intracellular calcium oscillations and waves, J Biol. Syst. 13 (2005) 173-190. 15. Qian X, Dodds RH, Choo YS, Mode mixity for circular hollow section X joints with weld toe cracks, J. Offshore Mech. Arct. 127 (2005) 269-279. 16. Zhu CL, Jia Y, Liu Q, Yang LJ, Zhan X., A mesoscopic stochastic mechanism of cytosolic calcium oscillations, Biophys. Chem. 125 (2007) 201-212. 17. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 18. Durham J, Moehlis J, Feedback control of canards, Chaos 18 (2008) Art. No. 015110. 19. Kapela A, Bezerianos A, Tsoukias NM, A mathematical model of Ca2+ dynamics in rat mesenteric smooth muscle cell: Agonist and NO stimulation, J. theor. Biol. 253 (2008) 238-260. 20. Ma J, Li HY, Hou ZH, Xin HW, System Size Resonance Associated with Canard Phenomenon in a Biological Cell System, Chin. J. Chem. Phys. 21 (2008) 521-525. 21. Surovtsova I, Simus N, Lorenz T, Konig A, Sahle S, Kummer U, Accessible methods for the dynamic time-scale decomposition of biochemical systems, Bioinformatics 25 (2009) 2816-2823. 22. Brons M, Kaasen R, Canards and mixed-mode oscillations in a forest pest model. Theor. Popul. Biol. 77 (2010) 238-242. 23. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. |
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M. Brumen, A. Fajmut, M. Marhl |
Cited in: 1*. Fajmut A, Brumen M, Frequency and amplitude analysis of bursting oscillations in the mathematical model of intracellular calcium oscillations, Eur. J. Biochem. 270 Supp. 1 (2003) 228.
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V. Grubelnik, A.Z. Larsen, U. Kummer, L.F. Olsen, M. Marhl |
Cited in: 1. Grubelnik V, Marhl M, Frequency encoding of intracellular Ca2+ signals, Cell. & Mol. Biol. Lett. 7 (2002) 115-117. 2.
Perc M, Marhl M, Different types of bursting calcium oscillations in non-excitable
cells, Chaos, Solitons & Fractals 18 (2003)
759-773. 10. Zhang JQ, Hou ZH, Xin HW, Influence of random long-range connections on Ca2+ signal propagation in coupled cell systems. Chinese J. Chem. Phys. 18 (2005) 19-23. 11. Tiveci S, Akin A, Cakir T, Saybasili H, Ulgen K, Modelling of calcium dynamics in brain energy metabolism and Alzheimer's disease, Comput. Biol. Chem. 29 (2005) 151-162. 12. Schuster S, Knoke B, Marhl M, Differential regulation of proteins by bursting calcium oscillations - a theoretical study, BioSystems 81 (2005) 49-63. 13. Heart E, Corkey RF, Wikstrom JD, Shirihai OS, Corkey BE , Glucose-dependent increase in mitochondrial membrane potential, but not cytoplasmic calcium, correlates with insulin secretion in single islet cells. Am. J. Physiol. - Endocr. Metabol. 290 (2006) E143-E148. 14. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 15. Sneyd J, Modeling IP3-dependent calcium dynamics in non-excitable cells, Lect. Notes Math. 1867 (2005) 15-61. 16. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 17*. Chauvet P, Dupont JM, Chauvet GA, On the integration of physiological mechanisms in the nervous tissue using the MTIP. Synaptic plasticity depending on neurons-astrocytes-capillaries interations, J. Integrat. Neurosc. 5 (2006) 443-482. 18. Kang M, Othmer HG, The variety of cytosolic calcium responses and possible roles of PLC and PKC, Phys. Biol. 4 (2007) 325-343. 19. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 20. Ji QB, Lu QS, Yang ZQ, Duan LX, Bursting Ca2+ Oscillations and Synchronization in Coupled Cells, Chinese Phys. Lett. 25 (2008) 3879-3882. 21. Hu R, He ML, Hu H, Yuan BX, Zang WJ, Lau CP, Tse HF, Li GR, Characterization of Calcium Signaling Pathways in Human Preadipocytes, J. Cell. Physiol. 220 (2009) 765-770. 22. Chen JB, Tao R, Sun HY, Tse HF, Lau CP, Li GR, Multiple Ca2+ Signaling Pathways Regulate Intracellular Ca2+ Activity in Human Cardiac Fibroblasts, J. Cell. Physiol. 223 (2010) 68-75. 23.
Knoke B, Bodenstein C, Marhl M, Perc M, Schuster S, Jensen's inequality
as a tool for explaining the effect of oscillations on the average cytosolic
calcium concentration, Theor. Biosci. 129 (2010)
25-38. |
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T. Haberichter, E. Roux, M. Marhl, J.-P. Mazat |
Cited in: 1*. Dozol H, Etudes inframoléculaires des interactions intramoléculaires de composés polyfonctionnels phosphorylés d'intérêt biologique et thérapeutique, docteur thése de l'Université Louis Pasteur Strasbourg I, Strasbourg, 2003. 2. Koenigsberger M, Sauser R, Meister JJ, Emergent properties of electrically coupled smooth muscle cells, Bull. Math. Biol. 67 (2005) 1253-1272. 3. Brumen M, Fajmut A, Dobovišek A, Roux E, Mathematical modelling of Ca2+ oscillations in airway smooth muscle cells, J. Biol. Phys. 31 (2005) 515-524. 4. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 5. Dupont G, Combettes L, Modelling the effect of specific inositol 1,4,5-trisphosphate receptor isoforms on cellular Ca2+ signals, Biol. Cell 98 (2006) 171-182. 6. Marhl M, Perc M, Schuster S, A minimal model for decoding of time-limited Ca2+ oscillations, Biophys. Chem. 120 (2006) 161-167. 7*. Gharib Naseri MK, Heidari A, Spasmolytic effect of Vitis vinifera leaf extract on rat trachea, J. Medicinal Plants 5 (2006) 39-49. 8. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 9. Hirota S, Helli P, Janssen LJ, Ionic mechanisms and Ca2+ handling in airway smooth muscle, Eur. Respir. J. 30 (2007) 114-133. 10. Bai
Y, Edelmann M, Sanderson MJ, The contribution of inositol 1,4,5-trisphosphate
and ryanodine receptors to agonist-induced Ca2+ signaling of airway
smooth muscle cells, Am. J. Physiol. - Lung. C. 297
(2009) L347-L361. |
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S. Schuster, M. Marhl, T. Höfer |
Cited in: 1.
Williams CJ, Signalling mechanisms of mammalian oocyte activation, Human
Reproduction Update 8 (2002) 313-321. 4. Rengifo
J, Rosales R, Gonzalez A, Cheng HP, Stern MD, Rios E, Intracellular
Ca2+ release as irreversible Markov process, Biophys. J. 83
(2002) 2511-2521. 6. Mooren FC, Exercise-dependent modulation of intracellular calcium signalling pathways, Deutsche Zeitschrift fur Sportmedizin 53 (2002) 368-375. 7. Salazar
C, Höfer T, Allosteric regulation of the transcription factor NFAT1
by multiple phosphorylation sites: A mathematical analysis, J. Mol.
Biol. 327 (2003) 31-45. 26. Clark JW, Eggebrecht AT, The small world of the nobel nematode caenorhabditis Elegans, Cond. Mat. Th. 18 (2003) 389-406. 27. Dellen BK, Barber MJ, Ristig M, Calcium oscillations in living cells, Cond. Mat. Th. 18 (2003) 407-416. 28. Vazquez-Coutino GA, Serrano-Luna G, Canedo-Dorantes L, Godina-Nava JJ, Rodriguez-Segura MA, Complex Systems Theory to understand extremely low frequency magnetic fields interaction with immune cells, AIP Conference Proceedings 682 (2003) 251-257. 29. Sinnecker
D, Schaefer M, Real-time analysis of phospholipase C activity during
different patterns of receptor-induced Ca2+ responses in HEK293 cells,
Cell Calcium 35 (2004) 29-38. 43*. Schuster S, A Systems Biology perspective on the modelling of metabolic systems. Book of Abstracts, pp.199, 5th International Conference on Systems Biology, Heidelberg, 2004. 44. Dupont
G, Dumollard R, Simulation of calcium waves in ascidian eggs: insights
into the origin of the pacemaker sites and the possible nature of the
sperm factor 45. Ma CY, Chen CY, Cui ZJ, Selective use of a reserved mechanism for inducing calcium oscillations, Cell. Signal. 16 (2004) 1435-1440. 46. Perc M, Marhl M, Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect - A case study on calcium oscillations, Int. J. Bifurcat. Chaos 14 (2004) 2735-2751. 47*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 48. Fall CP, Wagner JM, Loew LM, Nuccitelli R, Cortically restricted production of IP3 leads to propagation of the fertilization Ca2+ wave along the cell surface in a model of the Xenopus egg, J. theor. Biol. 231 (2004) 487-496. 49. De Blasio BF, Iversen JG, Rottingen JA, Intercellular calcium signalling in cultured renal epithelia: a theoretical study of synchronization mode and pacemaker activity, Eur. Biophys. J. Biophy. 33 (2004) 657-670. 50*. 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Mora R, Maldonado A, Valverde B, Gutierrez JM, Calcium plays a key role in the effects induced by a snake venom Lys49 phospholipase A(2) homologue on a lymphoblastoid cell line. Toxicon 47 (2006) 75-86. 84. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 85. Dupont G, Combettes L, Modelling the effect of specific inositol 1,4,5-trisphosphate receptor isoforms on cellular Ca2+ signals, Biol. Cell 98 (2006) 171-182. 86. Kawano S, Otsu K, Kuruma A, Shoji S, Yanagida E, Muto Y, Yoshikawa F, Hirayama Y, Mikoshiba K, Furuichi T, ATP autocrine/paracrine signaling induces calcium oscillations and NFAT activation in human mesenchymal stem cells, Cell Calcium 39 (2006) 313-324. 87. Marhl M, Perc M, Schuster S, A minimal model for decoding of time-limited Ca2+ oscillations, Biophys. Chem. 120 (2006) 161-167. 88. Politi A, Gaspers LD, Thomas AP, Höfer T, Models of IP3 and Ca2+ oscillations: Frequency encoding and identification of underlying feedbacks, Biophys. J. 90 (2006) 3120-3133. 89. Perc M, Gosak M, Marhl M, From stochasticity to determinism in the collective dynamics of diffusively coupled cells, Chem. Phys. Lett. 421 (2006) 106-110. 90. Higgins ER, Cannell MB, Sneyd J, A buffering SERCA pump in models of calcium dynamics. Biophys. J. 91 (2006) 151-163. 91. Hetherington JPJ, Warner A, Seymour RM, Simplification and its consequences in biological modelling: conclusions from a study of calcium oscillations in hepatocytes, J. R. Soc. Interface 3 (2006) 319-331. 92. Yang HM, Zhang XY, Wang GX, Zhang JH, Water channels are involved in stomatal oscillations encoded by parameter-specific cytosolic calcium oscillations. J. Integ. Plant Biol. 48 (2006) 790-799. 93. Malho R, Kaloriti D, Sousa E, Calcium and rhythms in plant cells, Biol. Rhythm Res. 37 (2006) 297-314. 94. Yong-Chun S, Di L, Xiao-Dan T, Ai-Rong D, Hui-Yong T, Shen-Qiu L, Qin-Kai D, Mathematical model of phosphatidylinositol-4,5-bisphosphate hydrolysis mediated by epidermal growth factor receptor generating diacylglycerol, J. Biotechnol. 124 (2006) 574-591. 95. Yamashita M, 'Quantal' Ca2+ release reassessed - a clue to oscillation and synchronization, FEBS Lett. 580 (2006) 4979-4983. 96. Jung SR, Kim K, Hille B, Nguyen TD, Koh DS, Pattern of Ca2+ increase determines the type of secretory mechanism activated in dog pancreatic duct epithelial cells, J. Physiol.-London 576 (2006) 163-178. 97. Domijan M, Murray R, Sneyd J, Dynamical probing of the mechanisms underlying calcium oscillations, J. Nonlinear Sci. 16 (2006) 483-506. 98. Ventura AC, Sneyd J, Calcium oscillations and waves generated by multiple release mechanisms in pancreatic acinar cells, B. Math. Biol. 68 (2006) 2205-2231. 99. Roose T, Chapman SJ, Maini PK, A mathematical model for simultaneous spatio-temporal dynamics of calcium and inositol 1,4,5-trisphosphate in Madin-Darby canine kidney epithelial cells, B. Math. Biol. 68 (2006) 2027-2051. 100. Kowalewski JM, Uhlen P, Kitano H, Brismar H, Modeling the impact of store-operated Ca2+ entry on intracellular Ca2+ oscillations, Math. Biosci. 204 (2006) 232-249. 101. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 102. Margoninski O, Saffrey P, Hetherington J, Finkelstein A, Warner A, A specification language and a framework for the execution of composite models in systems biology, Lect. Notes Comput. Sc. 4230 (2006) 163-184. 103*. Valeyev NV, Downing AK, Skorinkin AI, Campbell ID, Kotov NV, A calcium dependent de-adhesion mechanism regulates the direction and rate of cell migration: a mathematical model, In Silico Biology 6 (2006) 0050. 104*. Ali R, Evans ND, Campbell L, Errington RJ, Godfrey KR, Smith PJ, Chappell MJ, Control of cell proliferation by an anti-cancer agent: modelling, validation & sensitivity, IET Seminar Digest 2006 (11576), pp. 247-259. 105. Zhu CL, Jia Y, Liu Q, Yang LJ, Zhan X., A mesoscopic stochastic mechanism of cytosolic calcium oscillations, Biophys. Chem. 125 (2007) 201-212. 106. Marhl M, Grubelnik V, Role of cascades in converting oscillatory signals into stationary step-like responses, Biosystems 87 (2007) 58-67. 107. Perc M, Marhl M, Noise-induced spatial dynamics in the presence of memory loss, Physica A 375 (2007) 72-80. 108. Kusters JMAM, Cortes JM, van Meerwijk WPM, Ypey DL, Theuvenet APR, Gielen CCAM, Hysteresis and bistability in a realistic cell model for calcium oscillations and action potential firing, Phys. Rev. Lett. 98 (2007) Art. No. 098107. 109. Berridge MJ, Inositol trisphosphate and calcium oscillations, Biochem. Soc. Symp. 74 (2007) 1-7. 110. Wang J, Huang X, Huang W, A quantitative kinetic model for ATP-induced intracellular Ca2 + oscillations, J. theor. Biol. 245 (2007) 510-519. 111. Peifer M, Timmer J, Parameter estimation in ordinary differential equations for biochemical processes using the method of multiple shooting, IET Syst. Biol. 1 (2007) 78-88. 112. Perc M, Gosak M, Marhl M, Periodic calcium waves in coupled cells induced by internal noise, Chem. Phys. Lett. 437 (2007) 143-147. 113. Chen HS, Zhang JQ, Liu JQ, Structural-diversity-enhanced cellular ability to detect subthreshold extracellular signals, Phys. Rev. E 75 (2007) art. no. 041910. 114. Harris AL, Connexin channel permeability to cytoplasmic molecules, Prog. Biophys. Mol. Bio. 94 (2007) 120-143. 115. Edwards A, Pallone TL, Modification of cytosolic calcium signaling by subplasmalemmal microdomains, Am. J. Physiol.-Renal. 292 (2007) F1827-F1845. 116. 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Goldstein BN, Aksirov AM, Zaknjevskaya DT, Calmodulin can induce and control damped oscillations in plasma membrane Ca2+-ATPase activity: a kinetic model, Biofizika 52 (2007) 1067-1072. 123. O'Beirne GA, Patuzzi RB, Mathematical model of outer hair cell regulation including ion transport and cell motility, Hearing Res. 234 (2007) 29-51. 124. Walsh F, Balasubramaniam S, Botvich D, Donnelly W, Review of communication mechanisms for biological nano and MEMS devices, Proceedings of the Bio-Inspired Models of Network, Information, and Computing Systems, Bionetics 2007, Art. No. 4610134, pp. 307-312. 125. Kang M, Othmer HG, The variety of cytosolic calcium responses and possible roles of PLC and PKC, Phys. Biol. 4 (2007) 325-343. 126. Lu J, Engl HW, Machne R, Schuster P, Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4414 LNBI (2007) pp. 168-184. 127*. Minelli TA, Balduzzo M, Milone FF, Nofrate V, Modeling cell dynamics under mobile phone radiation, Nonlinear Dynamics, Psychology, and Life Sciences 11 (2007) 197-218. 128. Goldbeter A, Biological rhythms as temporal dissipative structures, Adv. Chem. Phys. 135 (2007) 253-295. 129. Skupin A, Falcke M, Statistical properties and information content of calcium oscillations, Genome Inform. Ser. 18 (2007) 44-53. 130. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 131. Perc M, Green AK, Dixon CJ, Marhl M, Establishing the stochastic nature of intracellular calcium oscillations from experimental data, Biophys. Chem. 132 (2008) 33-38. 132. Salazar C, Politi AZ, Hofer T, Decoding of calcium oscillations by phosphorylation cycles: Analytic results, Biophys. J. 94 (2008) 1203-1215. 133. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 134. Shen CS, Chen HS, Zhang JQ, Synchronized anti-phase and in-phase oscillations of intracellular calcium ions in two coupled Hepatocytes system, Chinese Phys. Lett. 25 (2008) 870-873. 135. Corrias A, Buist ML, Quantitative cellular description of gastric slow wave activity, Am. J. Physiol. - Gastr. L. 294 (2008) G989-G995. 136. Gosak M, Marhl M, Perc M, Chaos out of internal noise in the collective dynamics of diffusively coupled cells, Eur. Phys. J. B 62 (2008) 171-177. 137. Harris AL, Connexin specificity of second messenger permeation: Real numbers at last, J. Gen. Physiol. 131 (2008) 287-292 . 138. Pahle J, Green AK, Dixon CJ, Kummer U, Information transfer in signaling pathways: A study using coupled simulated and experimental data, BMC Bioinformatics 9 (2008) Art. No. 139. 139. Lang XF, Li QS, Roles of external noise correlation in optimal intracellular calcium signaling, J. Chem. Phys. 128 (2008) Art. No. 205102. 140. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 141. Wang Y, Li QS, System-size resonance for intracellular and intercellular calcium signaling, Biophys. Chem. 136 (2008) 32-37. 142. Chen XF, Li CX, Wang PY, Li M, Wang WC, Dynamic simulation of the effect of calcium-release activated calcium channel on cytoplasmic Ca2+ oscillation, Biophys. Chem. 136 (2008) 87-95. 143. Mincheva M, Craciun G, Multigraph conditions for multistability, oscillations and pattern formation in biochemical reaction networks, P. IEEE 96 (2008) 1281-1291. 144. Rogers KL, Martin JR, Renaud O, Karplus E, Nicola MA, Nguyen M, Picaud S, Shorte SL, Brulet P, Electron-multiplying charge-coupled detector-based bioluminescence recording of single-cell Ca2+, J. Biomed. Opt. 13 (2008) Art. No. 031211. 145. Dupont G, Abou-Lovergne A, Combettes L, Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes, Biophys. J. 95 (2008) 2193-2202. 146. Shi XM, Zheng YF, Liu ZR, Yang WZ, A model of calcium signaling and degranulation dynamics induced by laser irradiation in mast cells, Chinese Sci. Bull. 53 (2008) 2315-2325. 147. Harding AS, Hancock JF, Using plasma membrane nanoclusters to build better signaling circuits, Trends Cell Biol. 18 (2008) 364-371. 148. Stiefs D, Gross T, Steuer R, Feudel U, Computation and Visualization of Bifurcation Surfaces, Int. J. Bifurcat. Chaos 18 (2008) 2191-2206. 149. Lu QS, Gu HG, Yang ZQ, Shi X, Duan LX, Zheng YH, Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis, Acta Mech. Sinica 24 (2008) 593-628. 150. Santini CC, Tyrrell AM, The manipulation of calcium oscillations by harnessing self-organisation, BioSystems 94 (2008) 153-163. 151. Nittala A, Wang X, The hyperbolic effect of density and strength of inter beta-cell coupling on islet bursting: A theoretical investigation, Theoretical Biology and Medical Modelling 5 (2008) Art. No. 17. 152. Kong H, Fan Y, Xie J, Ding JH, Sha LL, Shi XR, Sun XL, Hu G, AQP4 knockout impairs proliferation, migration and neuronal differentiation of adult neural stem cells, J. Cell Sci. 121(2008) 4029-4036. 153. Ishida S, Yuasa T, Nakata M, Takahashi Y, A Tobacco Calcium-Dependent Protein Kinase, CDPK1, Regulates the Transcription Factor REPRESSION OF SHOOT GROWTH in Response to Gibberellins, Plant Cell 20 (2008) 3273-3288. 154. Linderman JJ, Modeling of G-protein-coupled Receptor Signaling Pathways, J. Biol. Chem. 284 (2009) 5427-5431. 155. McAinsh MR, Pittman JK, Shaping the calcium signature, New Phytol. 181 (2009) 275-294. 156. Gosak M, Marhl M, Perc M, Pacemaker-guided noise-induced spatial periodicity in excitable media, Physica D 238 (2009) 506-515. 157. Mazel T, Raymond R, Raymond-Stintz M, Jett S, Wilson BS, Stochastic Modeling of Calcium in 3D Geometry, Biophys. J. 96 (2009) 1691-1706. 158. Harris LA, Piccirilli AM, Majusiak ER, Clancy P, Quantifying stochastic effects in biochemical reaction networks using partitioned leaping, Phys. Rev. E 79 (2009) Art. No. 051906. 159. Newman SA, EE Just's "Independent Irritability" Revisited: The Activated Egg as Excitable Soft Matter, Mol. Reprod. Dev. 76 (2009) 966-974. 160. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 161. Chen ML, Wang FS, Dynamic sensitivity analysis of oscillating biochemical systems using modified collocation method, J. Taiwan Inst. Chem. E 40 (2009) 371-379. 162. Curis E, Nicolis I, Bensaci J, Deschamps P, Benazeth S, Mathematical modeling in metal metabolism: Overview and perspectives, Biochimie 91 (2009) 1238-1254. 163. Zeng SA, Li B, Zeng SQ, Chen SB, Simulation of Spontaneous Ca2+ Oscillations in Astrocytes Mediated by Voltage-Gated Calcium Channels, Biophys. J. 97 (2009) 2429-2437. 164. Siso-Nadal F, Fox JJ, Laporte SA, Hebert TE, Swain PS, Cross-Talk between Signaling Pathways Can Generate Robust Oscillations in Calcium and cAMP. PloS ONE 4 (2009) Art. No. e7189. 165. Hazledine S, Sun J, Wysham D, Downie JA, Oldroyd GED, Morris RJ, Nonlinear Time Series Analysis of Nodulation Factor Induced Calcium Oscillations: Evidence for Deterministic Chaos? PloS ONE 4 (2009) Art. No. e6637. 166. Bewick S, Yang RT, Zhang MJ, Complex mathematical models of biology at the nanoscale. Wiley Interdisc. Rev. - Nanomed. Nanotech. 1 (2009) 650-659. 167. Aguilar-Lopez R, Martinez-Guerra R, Puebla H, Hernandez-Suarez R, High order sliding-mode dynamic control for chaotic intracellular calcium oscillations, Nonlinear Anal.-Real 11 (2010) 217-231. 168. Yi FX, Boeldt DS, Gifford SM, Sullivan JA, Grummer MA, Magness RR, Bird IM, Pregnancy Enhances Sustained Ca2+ Bursts and Endothelial Nitric Oxide Synthase Activation in Ovine Uterine Artery Endothelial Cells Through Increased Connexin 43 Function. Biol. Reprod. 82 (2010) 66-75. 169. Solovey G, Dawson SP, Intra-Cluster Percolation of Calcium Signals. PloS ONE 5 (2010) Art. No. e8997. 170. Sotero RC, Martinez-Cancino R, Dynamical Mean Field Model of a Neural-Glial Mass. Neural. Comput. 22 (2010) 969-997. 171. Ye WM, Huang XD, Huang XH, Li PF, Xia QZ, Hu G, Self-sustained oscillations of complex genomic regulatory networks. Phys. Lett. A 374 (2010) 2521-2526. 172. Knoke B, Bodenstein C, Marhl M, Perc M, Schuster S, Jensen's inequality as a tool for explaining the effect of oscillations on the average cytosolic calcium concentration, Theor. Biosci. 129 (2010) 25-38. 173. Ito T, Nakata M, Fukazawa J, Ishida S, Takahashi Y, Alteration of Substrate Specificity: The Variable N-Terminal Domain of Tobacco Ca2+-Dependent Protein Kinase Is Important for Substrate Recognition. Plant Cell 22 (2010) 1592-1604. 174. Chignola R, Del Fabbro A, Milotti E, Dynamics of intracellular Ca2+ oscillations in the presence of multisite Ca2+-binding proteins. Physica A 389 (2010) 3172-3178. 175. Ye B, Ca2+ Oscillations and Its Transporters in Mesenchymal Stem Cells. Physiol. Res. 59 (2010) 323-329. 176. Majumder P, Crispino G, Rodriguez L, Ciubotaru CD, Anselmi F, Piazza V, Bortolozzi M, Mammano F, ATP-mediated cell-cell signaling in the organ of Corti: the role of connexin channels. Purinergic Signalling 6 (2010) 167-187. 177. Pandey R, Gupta S, Tandon S, Wolkenhauer O, Vera J, Gupta SK, Baccoside A suppresses epileptic-like seizure/convulsion in Caenorhabditis elegans. Seizure-Eur. J. Epilepsy 19 (2010) 439-442. 178. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. 179. Calabrese A, Fraiman D, Zysman D, Dawson SP, Stochastic fire-diffuse-fire model with realistic cluster dynamics. Phys. Rev. E 82 (2010) Art. No. 031910. |
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M. Perc, M. Marhl
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Cited in: 1*.
Perc M, Marhl M, Different types of bursting calcium oscillations in
non-excitable cells, Chaos, Solitons & Fractals 18
(2003) 759-773. 6. Perc M, Marhl M, Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect - A case study on calcium oscillations, Int. J. Bifurcat. Chaos 14 (2004) 2735-2751. 7*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 8. Kummer U, Krajnc B, Pahle J, Green AK, Dixon CJ, Marhl M, Transition from stochastic to deterministic behavior in calcium oscillations, Biophys. J. 89 (2005) 1603-1611. 9*. Savi MA, Chaos and order in biomedical rhythms, J. of the Braz. Soc. of Mech. Sci. & Eng. 27 (2005) 157-169. 10. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 11. Li HY, Bi JH, Ma J, Constructive Role of Internal Noise for the Detection of Weak Stimulation in a Coupled Biological Cell System, Acta Phys.-Chim. Sin. 25 (2009) 1327-1331. 12. Hazledine S, Sun J, Wysham D, Downie AJ, Oldroyd GED, Morris RJ, Nonlinear time series analysis of nodulation factor induced calcium oscillations: Evidence for deterministic chaos? PLoS ONE 4 (2009) Art. No. e6637. 13*. Li H-Y, Bi J-H, Ma J, Constructive role of internal noise for the detection of weak stimulation in a coupled biological cell system. Wuli Huaxue Xuebao/Acta Physico - Chimica Sinica 25 (2009) 1327-1331. 14. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes. Biophys. Chem. 148 (2010) 42-50. |
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M. Perc, M. Marhl
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Cited in: 1.
Perc M, Marhl M, Resonance effects determine the frequency of bursting
Ca2+ oscillations, Chem. Phys. Lett. 376 (2003)
432-437. 4. Perc M, Marhl M, Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect - A case study on calcium oscillations, Int. J. Bifurcat. Chaos 14 (2004) 2735-2751. 5*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 6. Wang HX, Lu QS, Wang QY, Generation of firing rhythm, patterns and synchronization in the Morris-Lecar neuron model, Int. J. Nonlinear Sci. 6 (2005) 7-12. 7. Perc M, Marhl M, Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior, Phys. Rev. E 71 (2005) art. no. 026229. 8. Schuster S, Knoke B, Marhl M, Differential regulation of proteins by bursting calcium oscillations - a theoretical study, BioSystems 81 (2005) 49-63. 9. Perc M, Marhl M, Chaos in temporarily destabilized regular systems with the slow passage effect, Chaos Solitons & Fractals 27 (2006) 395-403. 10*. Savi MA, Chaos and order in biomedical rhythms, J. of the Braz. Soc. of Mech. Sci. & Eng. 27 (2005) 157-169. 11. Duan LX, Lu QS, Bursting oscillations near codimension-two bifurcations in the Chay neuron model, Int. J. Nonlin. Sci. Num. Simulat. 7 (2006) 59-63. 12. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 13. Perc M, Effects of small-world connectivity on noise-induced temporal and spatial order in neural media, Chaos Solitons & Fractals 31 (2007) 280-291. 14. Zhang F, Lu QS, Duan LX, Dynamics analysis and transition mechanism of bursting calcium oscillations in non-excitable cells, Chinese Phys. Lett. 24 (2007) 3344-3346. 15*. Wang Y, Li QS, Explicit stochastic resonance of bursting behavior in a calcium system, Beijing Ligong Daxue Xuebao / Transaction of Beijing Institute of Technology 27 (2007), 1039-1041. 16. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 17. Wang HX, Lu QS, Wang QY, Bursting and synchronization transition in the coupled modified ML neurons, Communication Nonlin. Sci. Num. Simulat. 13 (2008) 1668-1675. 18. Wang QY, Duan ZS, Feng ZS, Chen GR, Lu QS, Synchronization transition in gap-junction-coupled leech neurons, Physica A 387 (2008) 4404-4410. 19. Ji QB, Lu QS, Yang ZQ, Duan LX, Bursting Ca2+ Oscillations and Synchronization in Coupled Cells, Chinese Phys. Lett. 25 (2008) 3879-3882. 20. Duan L, Lu Q, Wang Q, Two-parameter bifurcation analysis of firing activities in the Chay neuronal model, Neurocomputing 72 (2008) 341-351. 21. Zhou YZ, Zhou J, Liu ZH, Influence of network topology on the abnormal phase order, EPL 84 (2009) Art. No. 60001. 22. Wang Y, Li QS, Luo J, Explicit calcium bursting stochastic resonance, Biophys. Chem. 142 (2009) 40-45. 23. Zhang F, Lu QS, Su JZ, Transition in complex calcium bursting induced by IP3 degradation, Chaos Solitons & Fractals 41 (2009) 2285-2290. 24. Meng P, Lu QS, Dynamical Effect of Calcium Pump on Cytosolic Calcium Bursting Oscillations with IP3 Degradation. Chinese Phys. Lett. 27 (2010) Art. No. 010502. 25. Peng GJ, Jiang YL, Two routes to chaos in the fractional Lorenz system with dimension continuously varying. Physica A 389 (2010) 4140-4148. |
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M. Marhl, S. Schuster |
Cited in: 1.
Perc M, Marhl M, Frequency dependent stochastic resonance in a model
for intracellular Ca2+ oscillations can be explained by local divergence,
Physica A - Statistical Mechanics and its Applications 332
(2004) 123-140. 3. Perc M, Marhl M, Synchronization of regular and chaotic oscillations: The role of local divergence and the slow passage effect - A case study on calcium oscillations, Int. J. Bifurcat. Chaos 14 (2004) 2735-2751. 4*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 5. Puebla H, Controlling intracellular calcium oscillations and waves, J Biol. Syst. 13 (2005) 173-190. 6. Kummer U, Krajnc B, Pahle J, Green AK, Dixon CJ, Marhl M, Transition from stochastic to deterministic behavior in calcium oscillations, Biophys. J. 89 (2005) 1603-1611. 7. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 8. Klipp E, Liebermeister W, Mathematical modeling of intracellular signaling pathways, BMC Neuroscience 7 (2006) S10, doi:10.1186/1471-2202-7-S1-S10. 9*. Valeyev NV, Downing AK, Skorinkin AI, Campbell ID, Kotov NV, A calcium dependent de-adhesion mechanism regulates the direction and rate of cell migration: a mathematical model, In Silico Biology 6 (2006) 0050. 10*. Battogtokh D, Tyson JJ, Periodic forcing of a mathematical model of the eukaryotic cell cycle, Phys. Rev. E 73 (2006) art. no. 011910. 11.
Aguilar-Lopez R, Martinez-Guerra R, Puebla H, Hernandez-Suarez R, High
order sliding-mode dynamic control for chaotic intracellular calcium
oscillations, Nonlinear Anal.-Real 11 (2010)
217-231. |
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M. Perc, M. Marhl |
Cited in: 1. Perc M, Marhl M, Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor, Phys. Rev. E 70 (2004) art. no. 016204. 2. Perc M, Marhl M, Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior, Phys. Rev. E 71 (2005) art. no. 026229. 3. Perc M, Effects of small-world connectivity on noise-induced temporal and spatial order in neural media, Chaos Solitons & Fractals 31 (2007) 280-291. 4. Bi
QS, The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ)
chemical reaction with multiple time scales. Sci. China-Technol.
Sciences 53 (2010) 748-760. |
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M. Perc, M. Marhl |
Cited in: 1. Perc M, Marhl M, Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor, Phys. Rev. E 70 (2004) art. no. 016204. 2*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 3. Goldstein BN, Mayevsky AA, Zakrjevskaya DT, Influence of Ca2+ oscillatory influx on membrane Ca2+-ATPase activity: a kinetic model, Biochemistry-Moscow 70 (2005) 445-448. 4. Li HY, Hou ZH, Xin HW, Internal noise stochastic resonance for intracellular calcium oscillations in a cell system, Phys. Rev. E 71 (2005) art. no. 061916. 5. Zhang JQ, Hou ZH, Xin HW, Stochastic bi-resonance induced by external noise for Ca2+ signaling in hepatocytes, Sci. China Ser. B 48 (2005) 286-291. 6. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 7. Perc M, Marhl M, Pacemaker enhanced noise-induced synchrony in cellular arrays, Phys. Lett. A 353 (2006) 372-377. 8. Chen HS, Zhang JQ, Liu JQ, Selective effects of external noise on Ca2+ signal in mesoscopic scale biochemical cell systems, Biophys. Chem. 125 (2007) 397-402. 9. Chuan-Sheng S, Ji-Qianl Z, Han-Shuang C, System size selected effects induced by clustering in two-dimensional coupled cell systems, Acta. Phys. Sin.-Ch. Ed. 56 (2007) 6315-6320. 10. Lang XF, Li QS, Roles of external noise correlation in optimal intracellular calcium signaling, J. Chem. Phys. 128 (2008) Art. No. 205102. 11. Ma J, Li HY, Hou ZH, Xin HW, System Size Resonance Associated with Canard Phenomenon in a Biological Cell System, Chin. J. Chem. Phys. 21 (2008) 521-525. 12. Pahle
J, Biochemical simulations: stochastic, approximate stochastic and hybrid
approaches, Brief. Bioinform. 10 (2009) 53-64.
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M. Perc, M. Marhl |
Cited in: 1. Perc M, Marhl M, Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor, Phys. Rev. E 70 (2004) art. no. 016204. 2*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 3. Chassin DP, Malard J, Posse C, Managing Complexity, CCCT-04 invited session, Austin Texas, August 2004, 7 pages. 4. Perc M, Marhl M, Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior, Phys. Rev. E 71 (2005) art. no. 026229. 5. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 6. Perc M, Gosak M, Marhl M, From stochasticity to determinism in the collective dynamics of diffusively coupled cells, Chem. Phys. Lett. 421 (2006) 106-110. 7. Perc M, Marhl M, Pacemaker enhanced noise-induced synchrony in cellular arrays, Phys. Lett. A 353 (2006) 372-377. 8. Perc M, Marhl M, Noise-induced spatial dynamics in the presence of memory loss, Physica A 375 (2007) 72-80. 9. Gandhimathi VM, Rajasekar S, Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators driven by an amplitude modulated force, Phys. Scripta 76 (2007) 693-698. 10*. Minelli TA, Balduzzo M, Milone FF, Nofrate V, Modeling cell dynamics under mobile phone radiation, Nonlinear Dynamics, Psychology, and Life Sciences 11 (2007) 197-218. 11. Lang XF, Li QS, Roles of external noise correlation in optimal intracellular calcium signaling, J. Chem. Phys. 128 (2008) Art. No. 205102. 12. Chignola R, Del Fabbro A, Milotti E, Dynamics of intracellular Ca2+ oscillations in the presence of multisite Ca2+-binding proteins. Physica A 16 (2010) 3172-3178. 13.
Lang XF, Lu QS, Kurths J, Phase synchronization in noise-driven bursting
neurons. Phys. Rev. E 82 (2010) Art. No.
021909. |
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M. Perc, M. Marhl |
Cited in: 1. Perc M, Marhl M, Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor, Phys. Rev. E 70 (2004) art. no. 016204. 2*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 3. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 4. Harris AL, Connexin channel permeability to cytoplasmic molecules, Prog. Biophys. Mol. Bio. 94 (2007) 120-143. 5. Harris AL, Connexin specificity of second messenger permeation: Real numbers at last, J. Gen. Physiol. 131 (2008) 287-292. 6. Zhu
XL, Sang JP, Wang LL, Huang SY, Zou XW, Structure properties and synchronizability
of cobweb-like networks, Physica A 387 (2008)
6646-6656. |
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M. Perc, M. Marhl |
Cited in: 1*. Perc M, Marhl M, Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor, Phys. Rev. E 70 (2004) art. no. 016204. 2*. Marhl M, Perc M, Determining the robustness of signal transduction systems - A case study on neurons, WSEAS Trans. Biol. Biomed. 1 (2004) 379-383. 3. Perc M, Marhl M, Chaos in temporarily destabilized regular systems with the slow passage effect, Chaos Solitons & Fractals 27 (2006) 395-403. 4. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 5. Zhu XL, Sang JP, Wang LL, Huang SY, Zou XW, Structure properties and synchronizability of cobweb-like networks, Physica A 387 (2008) 6646-6656. 6. Puebla H, Del Muro Cuellar B, Aguilar-Lopez R, Synchronization of coupled calcium oscillators: A robust feedback control approach, Chinese Control and Decision Conference, CCDC 2008 (2008) Art. No. 4598143, pp. 4309-4312. 7. Ma J, Zhang AH, Xia YF, Zhang LP, Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems. Appl. Math. Comput 215 (2010) 3318-3326. 8. Wang CN, Li SR, Ma J, Jin WY, Synchronization transition in degenerate optical parametric oscillators induced by nonlinear coupling. Appl. Math. Comput 216 (2010) 647-654. |
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E. Roux, M. Marhl |
Cited in: 1. Dai JZ, Kuo KH, Leo JM, van Breemen C, Lee CH, Rearrangement of the close contact between the mitochondria and the sarcoplasmic reticulum in airway smooth muscle, Cell Calcium 37 (2005) 333-340. 2. Brumen M, Fajmut A, Dobovisek A, Roux E, Mathematical modelling of Ca2+ oscillations in airway smooth muscle cells, J. Biol. Phys. 31 (2005) 515-524. 3. Roux E, Noble PJ, Noble D, Marhl M, Modelling of calcium handling in airway myocytes, Prog. Biophys. Mol. Biol. 90 (2006) 64-87. 4. Marhl M, Perc M, Schuster S, A minimal model for decoding of time-limited Ca2+ oscillations, Biophys. Chem. 120 (2006) 161-167. 5. McCarron JG, Chalmers S, Bradley KN, MacMillan D, Muir TC, Ca2+ microdomains in smooth muscle, Cell Calcium 40 (2006) 461-493. 6. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 7. Mbikou P, Fajmut A, Brumen M, Roux E, Theoretical and experimental investigation of calcium-contraction coupling in airway smooth muscle, Cell Biochem. Biophys. 46 (2006) 233-251. 8. Zayas R, Groshong JS, Gomez CM, Inositol-1,4,5-triphosphate receptors mediate activity-induced synaptic Ca2+ signals in muscle fibers and Ca2+ overload in slow-channel syndrome, Cell Calcium 41 (2007) 343-352. 9. Hirota S, Helli P, Janssen LJ, Ionic mechanisms and Ca2+ handling in airway smooth muscle, Eur. Respir. J. 30 (2007) 114-133. 10. Chalmers S, Olson ML, MacMillan D, Rainbow RD, McCarron JG, Ion channels in smooth muscle: Regulation by the sarcoplasmic reticulum and mitochondria, Cell Calcium 42 (2007) 447-466. 11. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 12. Nakamura N, Yamazawa T, Okubo Y, Iino M, Temporal switching and cell-to-cell variability in Ca2+ release activity in mammalian cells, Mol. Syst. Biol. 5 (2009) Art. No. 247. 13. Wray S, Burdyga T, Sarcoplasmic Reticulum Function in Smooth Muscle. Physiol. Rev. 90 (2010) 113-178. 14. Wang IY, Bai Y, Sanderson MJ, Sneyd J, A Mathematical Analysis of Agonist- and KCI-Induced Ca2+ Oscillations in Mouse Airway Smooth Muscle Cells. Biophys. J. 98 (2010) 1170-1181. 15. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes. Biophys. Chem. 148 (2010) 42-50. |
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M. Perc, M. Marhl Detecting and controlling unstable periodic orbits that are not part of a chaotic attractor Physical Review E 70 (2004) art. no. 016204 |
Cited in: 1. Perc M, Marhl M, Chaos in temporarily destabilized regular systems with the slow passage effect, Chaos Solitons & Fractals 27 (2006) 395-403. 2. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 3. Chang SC, Lin HP, Synchronization with particular application to the control of a chaotic electromagnetic system, P. I. Mech. Eng. G - J. Aer. 222 (2008) 1047-1053. 4. Ma J, Zhang AH, Xia YF, Zhang LP, Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems. Appl. Math. Comput. 215 (2010) 3318-3326. 5. Wang CN, Li SR, Ma J, Jin WY, Synchronization transition in degenerate optical parametric oscillators induced by nonlinear coupling. Appl. Math. Comput. 216 (2010) 647-654. |
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S. Kodba, M. Perc, M. Marhl |
Cited in: 1. Perc M, Visualizing the attraction of strange attractors, Eur. J. Phys. 26 (2005) 579-587. 2. Perc M, Nonlinear time series analysis of the human electrocardiogram, Eur. J. Phys. 26 (2005) 757-768. 3. Benko TP, Perc M, Deterministic chaos in sounds of Asian cicadas, J. Biol. Syst. 14 (2006) 555-566. 4. Benko TP, Perc M, Singing of Neoconocephalus robustus as an example of deterministic chaos in insects, J. Bioscience 32 (2007) 797-804. 5*. Yuan Y, Ma XJ, Classification of reciprocating compressor faults based on multi-component singular entropy, Dalian Ligong Daxue Xuebao / Journal of Dalian University of Technology 47 (2007) 196-200. 6. Park CA, Kwon RJ, Kim S, Jang HR, Chae JH, Kim T, Jeong, Decreased Phase Synchronization of the EEG in Patients with Major Depressive Disorder, Book Series: IFMBE Proceedings Volume: 14 pp. 1095-1098 (2007). 7. Meghdadi AH, Fazel-Rezai R, Aghakhani Y, A method for detecting nonlinear determinism in normal and epileptic brain EEG signals, 29th Annual International Conference of IEEE-EMBS, Engineering in Medicine and Biology Society, EMBC'07 (2007) Art. No. 4352713, pp. 2008-2011. 8. Ivanovic AZ, Cupic ZD, Jankovic MM, Kolar-Anic LZ, Anic SR, The chaotic sequences in the Bray-Liebhafsky reaction in an open reactor, Phys. Chem. Chem. Phys. 10 (2008) 5848-5858 . 9*. Ryan DA, Sarson GR, The geodynamo as a low-dimensional deterministic system at the edge of chaos, Europhys. Lett. 83 (2008) Art. No. 49001. 10*. Luoma J, Hämäläinen RP, Saarinen E, Perspectives on team dynamics: Meta learning and systems intelligence, Systems Research and Behavioral Science 25 (2008) 757-767. 11. Millan H, Garcia-Fornaris I, Gonzalez-Posada M, Nonlinear spatial series analysis from unidirectional transects of soil physical properties, Catena 77 (2009) 56-64. 12. Srivastava N, Haque I, Nonlinear dynamics of a friction-limited drive: Application to a chain continuously variable transmission (CVT) system, J. Sound Vib. 321 (2009) 319-341. 13. Millan H, Kalauzi A, Llerena G, Sucoshanay J, Piedra D, Meteorological complexity in the Amazonian area of Ecuador: An approach based on dynamical system theory, Ecol. Complex. 6 (2009) 278-285. 14. Benko TP, Perc M, Nonlinearities in mating sounds of American crocodiles, BioSystems 97 (2009) 154-159. 15*. Yu Y, Li B, Shang J, PCA and local-wave method analysis on fault diagnosis of diesel, Proceedings - 2009 International Conference on Information Technology and Computer Science, ITCS 2009, Art. No. 5190243, pp. 317-321. 16. Shapira Y, Kenett DY, Ben-Jacob E, The Index cohesive effect on stock market correlations. Eur. Phys. J. B 72 (2009) 657-669. 17. Georgakaki D, Mitsas C, Polatoglou HM, Nonlinear Time-series Analysis Methods for the Evaluation & Study of Dynamical Phenomena in Atomic Force Microscopy Prediction of chaotic motion. 7th International Conference of the Balkan-Physical-Union, AIP Conference Proceeding 1203 (2009) 1177-1182. 18. Misra AP, Banerjee S, Haas F, Shukla PK, Assis LPG, Temporal dynamics in the one-dimensional quantum Zakharov equations for plasmas. Phys. Plasmas 72 (2010) Art. No. 032307. 19. Yang JH, Cai XM, Liu XB, The maximal Lyapunov exponent for a three-dimensional system driven by white noise. Communications in Nonlin. Sci. and Num. Simulation 15 (2010) 3498-3506. 20. Millan H, Kalauzi A, Cukic M, Biondi R, Nonlinear dynamics of meteorological variables: multifractality and chaotic invariants in daily records from Pastaza, Ecuador. Theor. Appl. Climatol. 102 (2010) 75-85. 21.
De la Fuente IM, Quantitative Analysis of Cellular Metabolic Dissipative,
Self-Organized Structures. Int. J. Mol. Sci. 11
(2010) 3540-3599. |
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S. Schuster, B. Knoke, M. Marhl Differential regulation of proteins by bursting calcium oscillations - a theoretical study Biosystems 81 (2005) 49-63 |
Cited in: 1. Marhl M, Perc M, Schuster S, Selective regulation of cellular processes via protein cascades acting as band-pass filters for time-limited oscillations. FEBS Lett. 579 (2005) 5461-5465. 2. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes. Cell Biochem. Biophys. 46 (2006) 285-302. 3. Marhl M, Grubelnik V, Role of cascades in converting oscillatory signals into stationary step-like responses. Biosystems 87 (2007) 58-67. 4. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 5. Salazar C, Politi AZ, Hofer T, Decoding of calcium oscillations by phosphorylation cycles: Analytic results. Biophys. J. 94 (2008) 1203-1215. 6. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations. Theor. Biosci. 127 (2008) 1-14. 7. Pahle J, Green AK, Dixon CJ, Kummer U, Information transfer in signaling pathways: A study using coupled simulated and experimental data. BMC Bioinformatics 9 (2008) Art. No. 139. 8. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes. J. theor. Biol. 252 (2008) 419-426. 9. Santini CC, Tyrrell AM, The manipulation of calcium oscillations by harnessing self-organisation. BioSystems 94 (2008) 153-163. 10. Bodenstein
C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to
explain the role of regular calcium oscillations in protein activation.
Phys. Biol. 7 (2010) Art. No. 036009. |
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M. Perc and M. Marhl Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior Physical Review E 71 (2005) art. no. 026229 |
Cited in: 1. Perc M, Coherence resonance in a spatial prisoner's dilemma game. New J. Phys. 8 (2006) art. no. 022. 2. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors. Chaos Solitons & Fractals 28 (2006) 822-833. 3. Perc M, Gosak M, Marhl M, From stochasticity to determinism in the collective dynamics of diffusively coupled cells. Chem. Phys. Lett. 421 (2006) 106-110. 4. Perc M, Marhl M, Pacemaker enhanced noise-induced synchrony in cellular arrays. Phys. Lett. A 353 (2006) 372-377. 5. Perc M, Marhl M, Evolutionary and dynamical coherence resonances in the pair approximated prisoner's dilemma game. New J. Phys. 8 (2006) Art. No. 142. 6. Perc M, Effects of small-world connectivity on noise-induced temporal and spatial order in neural media. Chaos Solitons & Fractals 31 (2007) 280-291. 7. Sethia GC, Kurths J, Sen A, Coherence resonance in an excitable system with time delay. Phys. Lett. A 364 (2007) 227-230. 8. Gosak M, Perc M, Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems. Phys. Rev. E 76 (2007) Art. No. 037201. 9. Li XM, Wang J, Hu WH, Effects of chemical synapses on the enhancement of signal propagation in coupled neurons near the canard regime. Phys. Rev. E 76 (2007) Art. No. 041902. 10. Gandhimathi VM, Rajasekar S, Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators driven by an amplitude modulated force. Phys. Scripta 76 (2007) 693-698. 11*. Wang J, Li X, Feng D, Comparisons of chemical synapses and gap junctions in the stochastic dynamics of coupled neurons. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 4689 LNBI (2007) pp. 254-263. 12. Wang QY, Duan ZS, Feng ZS, Chen GR, Lu QS, Synchronization transition in gap-junction-coupled leech neurons. Physica A 387 (2008) 4404-4410. 13. Wu D, Zhu SQ, Stochastic resonance in FitzHugh-Nagumo system with time-delayed feedback. Phys. Lett. A 372 (2008) 5299-5304. 14. Wang QY, Perc M, Duan ZS, Chen GR, Delay-induced multiple stochastic resonances on scale-free neuronal networks. Chaos 19 (2009) Art. No. 023112. 15. Ozer M, Perc M, Uzuntarla M, Koklukaya E, Weak signal propagation through noisy feedforward neuronal networks. Neuroreport 21 (2010) 338-343. 16.
Chapeau-Blondeau F, Rousseau D, Delahaies A, Renyi entropy measure of
noise-aided information transmission in a binary channel. Phys. Rev.
E 81 (2010) Art. No. 051112. |
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U. Kummer, B. Krajnc, J. Pahle. A.K. Green, C.J. Dixon,
M. Marhl |
Cited in: 1. Perc M, Gosak M, Marhl M, From stochasticity to determinism in the collective dynamics of diffusively coupled cells, Chem. Phys. Lett. 421 (2006) 106-110. 2. Müller M, Wegner K, Kummer U, Baier G, Quantification of cross correlations in complex spatiotemporal systems, Phys. Rev. E 73 (2006) art. no. 046106. 3. Manninen T, Linne M-L, Ruohonen K, Developing Itô stochastic differential equation models for neuronal signal transduction pathways, Comput. Biol. Chem. 30 (2006) 280-291. 4. Hoops S, Sahle S, Gauges R, Lee C, Pahle J, Simus N, Singhal M, Xu L, Mendes P, Kummer U, COPASI- A COmplex PAthway SImulator, Bioinformatics 22 (2006) 3067-3074. 5. Song H, Smolen P, Av-Ron E, Baxter DA, Byrne JH, Dynamics of a minimal model of interlocked positive and negative feedback loops of transcriptional regulation by cAMP-response element binding proteins, Biophys. J. 92 (2007) 3407-3424. 6. McKane AJ, Nagy JD, Newman TJ, Stefanini MO, Amplified biochemical oscillations in cellular systems, J. Stat. Phys. 128 (2007) 165-191. 7. Hemberg M, Barahona M, Perfect sampling of the master equation for gene regulatory networks, Biophys. J. 93 (2007) 401-410. 8. Dupont G, Combettes L, Leybaert L, Calcium dynamics: Spatio-temporal organization from the subcellular to the organ level, Int. Rev. Cytol. 261 (2007) 193-245. 9. Ullah M, Wolkenhauer O, Family tree of Markov models in systems biology, IET Syst. Biol. 1 (2007) 247-254. 10. Kang M, Othmer HG, The variety of cytosolic calcium responses and possible roles of PLC and PKC, Phys. Biol. 4 (2007) 325-343. 11*. Wang Y, Li QS, Explicit stochastic resonance of bursting behavior in a calcium system, Beijing Ligong Daxue Xuebao / Transaction of Beijing Institute of Technology 27 (2007), 1039-1041. 12. Perc M, Green AK, Dixon CJ, Marhl M, Establishing the stochastic nature of intracellular calcium oscillations from experimental data, Biophys. Chem. 132 (2008) 33-38. 13. Gosak M, Marhl M, Perc M, Chaos out of internal noise in the collective dynamics of diffusively coupled cells, Eur. Phys. J. B 62 (2008) 171-177. 14. Pahle J, Green AK, Dixon CJ, Kummer U, Information transfer in signaling pathways: A study using coupled simulated and experimental data, BMC Bioinformatics 9 (2008) Art. No. 139. 15. Wang Y, Li QS, System-size resonance for intracellular and intercellular calcium signaling, Biophys. Chem. 136 (2008) 32-37. 16. Kosuta S, Hazledine S, Sun J, Miwa H, Morris RJ, Downie JA, Oldroyd GED, Differential and chaotic calcium signatures in the symbiosis signaling pathway of legumes, P. Natl. Acad. Sci. USA 105 (2008) 9823-9828. 17. Dupont G, Abou-Lovergne A, Combettes L, Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes, Biophys. J. 95 (2008) 2193-2202. 18. Lederhendler A, Biham O, Validity of rate equation results for reaction rates in reaction networks with fluctuations, Phys. Rev. E 78 (2008) Art. No. 041105. 19. Pahle J, Biochemical simulations: stochastic, approximate stochastic and hybrid approaches, Brief. Bioinform. 10 (2009) 53-64. 20. Armbruster D, Nagy JD, van de Rijt EAF, Rooda JE, Dynamic Simulations of Single-Molecule Enzyme Networks, J. Phys. Chem. B 113 (2009) 5537-5544. 21. Wang Y, Li QS, Luo J, Explicit calcium bursting stochastic resonance, Biophys. Chem. 142 (2009) 40-45. 22. Harris LA, Piccirilli AM, Majusiak ER, Clancy P, Quantifying stochastic effects in biochemical reaction networks using partitioned leaping, Phys. Rev. E 79 (2009) Art. No. 051906. 23. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 24. Dupont G, Combettes L, What can we learn from the irregularity of Ca2+ oscillations? Chaos 19 (2009) Art. No.: 037112. 25. Hazledine S, Sun J, Wysham D, Downie JA, Oldroyd GED, Morris RJ, Nonlinear Time Series Analysis of Nodulation Factor Induced Calcium Oscillations: Evidence for Deterministic Chaos? Plos ONE 4 (2009) Art. No. e6637. 26. Aguilar-Lopez R, Martinez-Guerra R, Puebla H, Hernandez-Suarez R, High order sliding-mode dynamic control for chaotic intracellular calcium oscillations. Nonlinear Anal.-Real World Applications 11 (2010) 217-231. 27. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes. Biophys. Chem. 148 (2010) 42-50. 28. Brasen JC, Olsen LF, Hallett MB, Cell surface topology creates high Ca2+ signalling microdomains. Cell Calcium 47 (2010) 339-349. 29. Ouattara DA, Abou-Jaoude W, Kaufman M, From structure to dynamics: Frequency tuning in the p53-Mdm2 network. II Differential and stochastic approaches. J. theor. Biol. 264 (2010) 1177-1189. 30. Elson EC, Complex life forms may arise from electrical processes. Theor. Biol. and Med. Modelling 7 (2010) Art. No. 26. 31. Stratton RC, Squires PE, Green AK, 17 beta-Estradiol Elevates cGMP and, via Plasma Membrane Recruitment of Protein Kinase GI alpha, Stimulates Ca2+ Efflux from Rat Hepatocytes. J. Biol. Chem. 285 (2010) 27201-27212. 32.
Skupin A, Kettenmann H, Falcke M, Calcium Signals Driven by Single Channel
Noise, PLoS Comput. Biol. 6 (2010) Art. No.
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Cited in: 1. Marhl M, Perc M, Schuster S, A minimal model for decoding of time-limited Ca2+ oscillations, Biophys. Chem. 120 (2006) 161-167. 2. Zhao J, Yu H, Luo JH, Cao ZW, Li YX, Hierarchical modularity of nested bow-ties in metabolic networks, BMC Bioinformatics 7 (2006) Art. No. 386. 3. Samoilov MS, Arkin AP, Deviant effects in molecular reaction pathways, Nature Biotechnol. 24 (2006) 1235-1240. 4. Marhl M, Grubelnik V, Role of cascades in converting oscillatory signals into stationary step-like responses, Biosystems 87 (2007) 58-67. 5. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 6. Zhao J, Tao L, Yu H, Luo JH, Cao ZW, Li YX, Bow-tie topological features of metabolic networks and the functional significance, Chinese Sci. Bull. 52 (2007) 1036-1045. 7. Salazar C, Politi AZ, Hofer T, Decoding of calcium oscillations by phosphorylation cycles: Analytic results, Biophys. J. 94 (2008) 1203-1215. 8. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 9. Pahle J, Green AK, Dixon CJ, Kummer U, Information transfer in signaling pathways: A study using coupled simulated and experimental data, BMC Bioinformatics 9 (2008) Art. No. 139. 10. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 11. Grubelnik V, Dugonik B, Osebik D, Marhl M, Signal amplification in biological and electrical engineering systems Universal role of cascades, Biophys. Chem. 143 (2009) 132-138. 12. Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold protein on MAPK cascade: A qualitative modeling. Biophys. Chem. 147 (2010) 130-139. 13. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion. Physica A 389 (2010) 3791-3803. 14. Ylander PJ, Hanninen P, Modelling of multi-component immunoassay kinetics - A new node-based method for simulation of complex assays. Biophys. Chem. 151 (2010) 105-110. 15. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. |
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V. Grubelnik and M. Marhl Drop formation in a falling stream of liquid American Journal of Physics 73 (2005) 415-419 |
Cited in: 1*. Grubelnik V, Marhl M, La formazione di gocce nei liquidi in caduta libera, La Fisica nella Scuola 39 (2006) 114-120 (translation). 2*. Gil S, Reisin HD, Rodriguez EE, Using a digital camera as a measuring device, Am. J. Phys. 74 (2006) 768-775. 3.
Novoa D, Michinel H, Tommasini D, Pressure, Surface Tension, and Dripping
of Self-Trapped Laser Beams, Phys. Rev. Lett. 103
(2009) Art. No. 023903. |
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Cited in: 1. Marhl M, Perc M, Determining the flexibility of regular and chaotic attractors, Chaos Solitons & Fractals 28 (2006) 822-833. 2. Chen JH, Controlling chaos and chaotification in the Chen-Lee system by multiple time delays, Chaos Solitons & Fractals 36 (2008) 843-852. 3. Tam LM, Tou WMS, Parametric study of the fractional-order Chen-Lee system, Chaos Solitons & Fractals 37 (2008) 817-826. 4. Sheu LJ, Chen HK, Chen JH, Tam LM, Chen WC, Lao SK, Lin KT, Complete synchronization of two Chen-Lee systems, J. Phys.: Conf. Ser. 96 (2008) Art. No. 012138 . 5. Chang SC, Lin HP, Synchronization with particular application to the control of a chaotic electromagnetic system, P. I. Mech. Eng. G - J. Aer. 222 (2008) 1047-1053. 6. Ma J, Zhang AH, Xia YF, Zhang LP, Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems. Appl. Math. Comput. 215 (2010) 3318-3326. |
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Cited in: 1*. Klipp E, Liebermeister W, Mathematical modeling of intracellular signaling pathways, BMC Neuroscience 7 (2006) S10, doi:10.1186/1471-2202-7-S1-S10. 2. Marhl M, Grubelnik V, Role of cascades in converting oscillatory signals into stationary step-like responses, Biosystems 87 (2007) 58-67. 3. Knoke B, Marhl M, Schuster S, Selective regulation of protein activity by complex Ca2+ oscillations: A theoretical study, Conference Information: European Conference on Mathematical and Theoretical Biology (ECMTB 2005), Jul. 2005, Dresden, Germany. Source: Mathematical Modeling of Biological Systems, Vol. I - Cellular Biophysics, Regulatory Networks, Development, Medicine, and Data Analysis. Book Series: Modelling and Simulation in Science, Engineering & Technology. pp.11-22 (2007). 4. Salazar C, Politi AZ, Hofer T, Decoding of calcium oscillations by phosphorylation cycles: Analytic results, Biophys. J. 94 (2008) 1203-1215. 5. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 6. Pahle J, Green AK, Dixon CJ, Kummer U, Information transfer in signaling pathways: A study using coupled simulated and experimental data, BMC Bioinformatics 9 (2008) Art. No. 139. 7. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 8. Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold protein on MAPK cascade: A qualitative modeling, Biophys. Chem. 147 (2010) 130-139. 9. Knoke B, Bodenstein C, Marhl M, Perc M, Schuster S, Jensen's inequality as a tool for explaining the effect of oscillations on the average cytosolic calcium concentration, Theor. Biosci. 129 (2010) 25-38. 10. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion, Physica A 389 (2010) 3791-3803. 11. Ylander PJ, Hanninen P, Modelling of multi-component immunoassay kinetics - A new node-based method for simulation of complex assays, Biophys. Chem. 151 (2010) 105-110. 12. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. |
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Cited in: 1. Zhang GJ, Xu JX, Yao H, Wei RX, Mechanism of bifurcation-dependent coherence resonance of an excitable neuron model, Int. J. Nonlin. Sc. Num. Sim. 7 (2006) 447-450. 2. Perc M, Marhl M, Noise-induced spatial dynamics in the presence of memory loss, Physica A 375 (2007) 72-80. 3. Zhang J, Limit cycle for the Brusselator by He's variational method, Math. Brobl. Eng. (2007) art. no. 85145. 4. Chen JH, Controlling chaos and chaotification in the Chen-Lee system by multiple time delays, Chaos Solitons & Fractals 36 (2008) 843-852. 5. Tam LM, Tou WMS, Parametric study of the fractional-order Chen-Lee system, Chaos Solitons & Fractals 37 (2008) 817-826. 6. Sheu LJ, Chen HK, Chen JH, Tam LM, Chen WC, Lao SK, Lin KT, Complete synchronization of two Chen-Lee systems, J. Phys.: Conf. Ser. 96 (2008) Art. No. 012138 . 7. Chang SC, Lin HP, Synchronization with particular application to the control of a chaotic electromagnetic system, P. I. Mech. Eng. G - J. Aer. 222 (2008) 1047-1053. |
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Cited in: 1. Perc M, Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner's dilemma, New J. Phys. 8 (2006) Art. No. 183. 2. Perc M, Premature seizure of traffic flow due to the introduction of evolutionary games, New J. Phys. 9 (2007) Art. No. 3. 3. Perc M, Transition from Gaussian to Levy distributions of stochastic payoff variations in the spatial prisoner's dilemma game, Phys. Rev. E 75 (2007) Art. No. 022101. 4. Wu ZX, Wang YH, Cooperation enhanced by the difference between interaction and learning neighborhoods for evolutionary spatial prisoner's dilemma games, Phys. Rev. E 75 Art. No. 041114. 5. Szabo G, Fath G, Evolutionary games on graphs, Phys. Rep. 446 (2007) 97-216. 6. Perc M, Szolnoki A, Noise-guided evolution within cyclical interactions, New J. Phys. 9 (2007) Art. No. 267. 7. Tanimoto J, Promotion of cooperation by payoff noise in a 2x2 game, Phys. Rev. E 76 (2007) Art. No. 041130. 8. Perc M, Uncertainties facilitate aggressive behavior in a spatial hawk-dove game, Int. J. Bifurcat. Chaos 17 (2007) 4223-4227. 9. Chen XJ, Wang L, Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game, Phys. Rev. E 77 (2008) Art. No. 017103. 10. Gosak M, Marhl M, Perc M, Chaos between stochasticity and periodicity in the prisoner's dilemma game, Int. J. Bifurcat. Chaos 18 (2008) 869-875. 11. Chen XJ, Fu F, Wang L, Promoting cooperation by local contribution under stochastic win-stay-lose-shift mechanism, Physica A 387 (2008) 5609-5615. 12. Fu F, Hauert C, Nowak MA, Wang L, Reputation-based partner choice promotes cooperation in social networks, Phys. Rev. E 78 (2008) Art. No. 026117. 13. Rohl T, Traulsen A, Claussen JC, Schuster HG, Stochastic gain in finite populations, Phys. Rev. E 78 (2008) Art. No. 026108. 14. Liu FM, Ding YS, Dynamics Analysis of Trust Computing Evolution in P2P Networks, Proceedings of the International Conference on Signal Image Technologies & Internet Based Systems (2008) pp. 200-205. 15. Chen XJ, Fu F, Wang L, Effects of Learning Activity on Cooperation in Evolutionary Prisoner's Dilemma Game, Int. J. Mod. Phys. C 19 (2008) 1377-1387. 16. Chen X, Fu F, Wang L, Interaction stochasticity supports cooperation in spatial Prisoner's dilemma, Phys. Rev. E 78 (2008) Art. No. 051120. 17. Altrock PM, Traulsen A, Fixation times in evolutionary games under weak selection, New J. Phys. 11 (2009) Art. No. 013012. 18. Fu F, Wu T, Wang L, Partner switching stabilizes cooperation in coevolutionary prisoner's dilemma, Phys. Rev. E 79 (2009) Art. No. 036101. 19. Yang DP, Shuai JW, Lin H, Wu CX, Individual's strategy characterized by local topology conditions in prisoner's dilemma on scale-free networks, Physica A 388 (2009) 2750-2756. 20. Yang DP, Lin H, Wu CX, Shuai JW, Effect of mortality selection on the emergence of cooperation with network dynamics, New J. Phys. 11 (2009) Art. No. 073048. 21. Wu ZX, Holme P, Effects of strategy-migration direction and noise in the evolutionary spatial prisoner's dilemma, Phys. Rev. E 80 (2009) Art. No. 026108. 22. Wu ZX, Rong ZH, Holme P, Diversity of reproduction time scale promotes cooperation in spatial prisoner's dilemma games, Phys. Rev. E 80 (2009) Art. No. 036106. 23. Jiang LL, Zhao M, Yang HX, Wakeling J, Wang BH, Zhou T, Reducing the heterogeneity of payoffs: An effective way to promote cooperation in the prisoner's dilemma game, Phys. Rev. E 80 (2009) Art. No. 031144. 24. Du WB, Cao XB, Hu MB, Wang WX, Asymmetric cost in snowdrift game on scale-free networks, EPL 87 (2009) Art. No. 60004. 25. Du WB, Cao XB, Hu MB, The effect of asymmetric payoff mechanism on evolutionary networked prisoner's dilemma game, Physica A 388 (2009) 5005-5012. 26. Perc M, Szolnoki A, Coevolutionary games-A mini review. BioSystems 99 (2010) 109-125. 27. Jia CX, Liu RR, Yang HX, Wang BH, Effects of fluctuations on the evolution of cooperation in the prisoner's dilemma game. EPL 90 (2010) Art. No. 30001. 28. Sun JT, Wang SJ, Huang ZG, Yang L, Do Y, Wang YH, Effect of information transmission on cooperative behavior. New J. Phys. 12 (2010) Art. No. 063034. 29. Rong ZH, Wu ZX, Wang WX, Emergence of cooperation through coevolving time scale in spatial prisoner's dilemma. Phys. Rev. E 82 (2010) Art. No. 026101. 30. Wang Z, Perc M, Aspiring to the fittest and promotion of cooperation in the prisoner's dilemma game. Phys. Rev. E 82 (2010) Art. No. 021115. 31. Camargo-Gamboa G, Huerta-Quintanilla R, Rodriguez-Achach M, Ecological competition and the role of an apex predator. Physica A 389 (2010) 4075-4080. 32. Liu RR, Rong ZH, Jia CX, Wang BH, Effects of diverse inertia on scale-free-networked prisoner's dilemma games. EPL 91 (2010) Art. No. 20002. |
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M. Perc and M. Marhl Minimal model for spatial coherence resonance Physical Review E 73 (2006) art. no. 066205 |
Cited in: 1. Perc M, Marhl M, Evolutionary and dynamical coherence resonances in the pair approximated prisoner's dilemma game, New J. Phys. 8 (2006) Art. No. 142. 2. Perc M, Double resonance in cooperation induced by noise and network variation for an evolutionary prisoner's dilemma, New J. Phys. 8 (2006) Art. No. 183. 3. Manjarrez E, Mendez I, Martinez L, Flores A, Mirasso CR, Effects of auditory noise on the psychophysical detection of visual signals: Cross-modal stochastic resonance, Neurosci. Lett. 415 (2007) 231-236. 4. Gosak M, Perc M, Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems, Phys. Rev. E 76 (2007) Art. No. 037201. 5. Perc M, Stochastic resonance on excitable small-world networks via a pacemaker, Phys. Rev. E 76 (2007) Art. No. 066203. 6. Sun XJ, Perc M, Lu QS, Lu QS, Kurths J, Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons, Chaos 18 (2008) Art. No. 023102. 7. Gosak M, Cellular diversity promotes intercellular Ca2+ wave propagation, Biophys. Chem. 139 (2009) 53-56. 8. Gosak M, Marhl M, Perc M, Pacemaker-guided noise-induced spatial periodicity in excitable media, Physica D 238 (2009) 506-515. 9. Sun XJ,
Lu QS, Spatial coherence resonance induced by coloured noise and parameter
diversity in a neuronal network. Chinese Phys. B 19
(2010) Art. No. 040504. |
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Cited in: 1. Marhl M, Noble D, Roux E, Modeling of molecular and cellular mechanisms involved in Ca2+ signal encoding in airway myocytes, Cell Biochem. Biophys. 46 (2006) 285-302. 2. Hirota S, Helli P, Janssen LJ, Ionic mechanisms and Ca2+ handling in airway smooth muscle, Eur. Respir. J. 30 (2007) 114-133. 3. Corrias A, Buist ML, Quantitative cellular description of gastric slow wave activity, Am. J. Physiol. - Gastr. L. 294 (2008) G989-G995. 4. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 5. Burrowes KS, Swan AJ, Warren NJ, Tawhai MH, Towards a virtual lung: multi-scale, multi-physics modelling of the pulmonary system, Philos. T. Roy. Soc. A 366 (2008) 3247-3263. 6. Wang IY, Bai Y, Sanderson MJ, Sneyd J, A Mathematical Analysis of Agonist- and KCI-Induced Ca2+ Oscillations in Mouse Airway Smooth Muscle Cells. Biophys. J. 98 (2010) 1170-1181. |
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M. Perc, M. Gosak, M. Marhl |
Cited in: 1. Perc M, Gosak M, Marhl M, Periodic calcium waves in coupled cells induced by internal noise, Chem. Phys. Lett. 437 (2007) 143-147. 2. Gosak M, Marhl M, Perc M, Spatial coherence resonance in excitable biochemical media induced by internal noise, Biophys. Chem. 128 (2007) 210-214. 3. Perc M, Green AK, Dixon CJ, Marhl M, Establishing the stochastic nature of intracellular calcium oscillations from experimental data, Biophys. Chem. 132 (2008) 33-38. 4. Gosak M, Marhl M, Perc M, Chaos out of internal noise in the collective dynamics of diffusively coupled cells, Eur. Phys. J. B 62 (2008) 171-177. 5. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 6. Szekely D, Brennan SC, Mun HC, Conigrave AD, Kuchel PW, Effectors of the frequency of calcium oscillations in HEK-293 cells: wavelet analysis and a computer model, Conference Information: 32nd Annual Meeting of the Australian-Society-for-Biophysics, SEP 28-OCT 01, 2008 Australian Natl Univ, Canberra, Australia. Source: Eur. Biophys. J. Biophys. 39 (2009) Issue: 1 Sp. Iss., pp.: 149-165. 7. Li QS, Li HY, Internal noise-driven circadian oscillator in Drosophila, Biophys. Chem. 145 (2009) 57-63. 8. Solovey G, Dawson SP, Intra-Cluster Percolation of Calcium Signals. PloS ONE 5 (2010) Art. No. e8997. 9. Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold protein on MAPK cascade: A qualitative modeling. Biophys. Chem. 147 (2010) 130-139. 10. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes. Biophys. Chem. 148 (2010) 42-50. 11. Chignola R, Del Fabbro A, Milotti E, Dynamics of intracellular Ca2+ oscillations in the presence of multisite Ca2+-binding proteins. Physica A 389 (2010) 3172-3178. 12. Shi JC, Signal transduction and amplification in a circadian oscillator: Interaction between two colored noises. J. theor. Biol. 265 (2010) 565-571. 13. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion. Physica A 389 (2010) 3791-3803. 14. Calabrese
A, Fraiman D, Zysman D, Dawson SP, Stochastic fire-diffuse-fire model
with realistic cluster dynamics. Phys. Rev. E 82
(2010) Art. No. 031910. |
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M. Perc, M. Marhl |
Cited in: 1. Perc M, Stochastic resonance on excitable small-world networks via a pacemaker, Phys. Rev. E 76 (2007) Art. No. 066203. 2. Perc M, Gosak M, Pacemaker-driven stochastic resonance on diffusive and complex networks of bistable oscillators, New J. Phys. 10 (2008) Art. No. 053008. 3. Perc M, Stochastic resonance on weakly paced scale-free networks, Phys. Rev. E 78 (2008) Art. No. 036105. 4. Gosak M, Marhl M, Perc M, Pacemaker-guided noise-induced spatial periodicity in excitable media, Physica D 238 (2009) 506-515. 5. Ozer
M, Perc M, Uzuntarla M, Stochastic resonance on Newman-Watts networks
of Hodgkin-Huxley neurons with local periodic driving, Phys. Lett
A 373 (2009) 964-968. |
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M. Marhl, D. Noble, E. Roux |
Cited in: 1. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 2. Burrowes KS, Swan AJ, Warren NJ, Tawhai MH, Towards a virtual lung: multi-scale, multi-physics modelling of the pulmonary system, Philos. T. Roy. Soc. A 366 (2008) 3247-3263. 3. Wang IY, Bai Y, Sanderson MJ, Sneyd J, A Mathematical Analysis of Agonist- and KCI-Induced Ca2+ Oscillations in Mouse Airway Smooth Muscle Cells. Biophys. J. 98 (2010) 1170-1181. |
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M. Perc, M. Gosak, M. Marhl |
Cited in: 1. Gosak M, Marhl M, Perc M, Spatial coherence resonance in excitable biochemical media induced by internal noise, Biophys. Chem. 128 (2007) 210-214. 2. Chen HH, Zhang JQ, Liu JQ, Enhancement of neuronal coherence by diversity in coupled Rulkov-map models, Physica A 387 (2008) 1071-1076. 3. Gosak M, Marhl M, Perc M, Chaos out of internal noise in the collective dynamics of diffusively coupled cells, Eur. Phys. J. B 62 (2008) 171-177. 4. Perc M, Gosak M, Pacemaker-driven stochastic resonance on diffusive and complex networks of bistable oscillators, New J. Phys. 10 (2008) Art. No. 053008. 5. Perc M, Gosak M, Kralj S, Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder, Soft Matter 4 (2008) 1861-1870. 6. Lu QS, Gu HG, Yang ZQ, Shi X, Duan LX, Zheng YH, Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis, Acta Mech. Sinica 24 (2008) 593-628. 7. Gosak M, Cellular diversity promotes intercellular Ca2+ wave propagation, Biophys. Chem. 139 (2009) 53-56. 8. Wang BH, Lu QS, Lu SJ, Lang XF, Spatiotemporal multiple coherence resonances and calcium waves in a coupled hepatocyte system, Chinese Phys. B 18 (2009) 872-880. 9. Ji L, Lang XF, Li YP, Li QS, Stimulus perturbation induced signal: A case study in mesoscopic intracellular calcium system, Biophys. Chem. 141 (2009) 231-235. 10. Wang Y, Li QS, Luo J, Explicit calcium bursting stochastic resonance, Biophys. Chem. 142 (2009) 40-45. 11. Harris LA, Piccirilli AM, Majusiak ER, Clancy P, Quantifying stochastic effects in biochemical reaction networks using partitioned leaping, Phys. Rev. E 79 (2009) Art. No. 051906. 12. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 13. Li QS, Li HY, Internal noise-driven circadian oscillator in Drosophila, Biophys. Chem. 145 (2009) 57-63. 14. Solovey G, Dawson SP, Intra-Cluster Percolation of Calcium Signals. PloS ONE 5 (2010) Art. No. e8997. 15. Shi JC, The cooperation effect of noise and an external signal on implicit and explicit coherence resonances in the brusselator system. Phys. Scripta 81 (2010) Art. No. 045003. 16. Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold protein on MAPK cascade: A qualitative modeling. Biophys. Chem. 147 (2010) 130-139. 17. Ma J, Tang J, Zhang AH, Jia Y, Robustness and breakup of the spiral wave in a two-dimensional lattice network of neurons. Science China-Phys. Mech. Astronomy 53 (2010) 672-679. 18. Sun XJ, Lu QS, Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network. Chinese Phys. B 19 (2010) Art. No. 040504. 19. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes. Biophys. Chem. 148 (2010) 42-50. 20. Wang CN, Yang LJ, Yuan LH, Ma J, Deformation and death of spiral wave induced by asymmetrical diffusion in elastic media. Communication Nonlin. Sci. Num. Simulation 15 (2010) 3913-3918. 21. Chignola R, Del Fabbro A, Milotti E, Dynamics of intracellular Ca2+ oscillations in the presence of multisite Ca2+-binding proteins. Physica A 389 (2010) 3172-3178. 22. Shi JC, Signal transduction and amplification in a circadian oscillator: Interaction between two colored noises. J. theor. Biol. 265 (2010) 565-571. 23. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion. Physica A 389 (2010) 3791-3803. 24. Ylander PJ, Hanninen P, Modelling of multi-component immunoassay kinetics - A new node-based method for simulation of complex assays. Biophys. Chem. 151 (2010) 105-110. 25. Calabrese A, Fraiman D, Zysman D, Dawson SP, Stochastic fire-diffuse-fire model with realistic cluster dynamics. Phys. Rev. E 82 (2010) Art. No. 031910. |
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M. Perc, M. Marhl |
Cited in: 1. Perc M, Gosak M, Marhl M, Periodic calcium waves in coupled cells induced by internal noise, Chem. Phys. Lett. 437 (2007) 143-147. 2. Gosak M, Marhl M, Perc M, Spatial coherence resonance in excitable biochemical media induced by internal noise, Biophys. Chem. 128 (2007) 210-214. 3. Perc M, Green AK, Dixon CJ, Marhl M, Establishing the stochastic nature of intracellular calcium oscillations from experimental data, Biophys. Chem. 132 (2008) 33-38. 4. Gosak M, Marhl M, Perc M, Pacemaker-guided noise-induced spatial periodicity in excitable media, Physica D 238 (2009) 506-515. 5. Ma J, Wang CN, Tang J, Jia Y, Eliminate spiral wave in excitable media by using a new feasible scheme. Communication Nonlin. Sci. Num. Simulation 15 (2010) 1768-1776. 6. Wang CN, Yang LJ, Yuan LH, Ma J, Deformation and death of spiral wave induced by asymmetrical diffusion in elastic media. Communication Nonlin. Sci. Num. Simulation 15 (2010) 3913-3918. |
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T. Jagric, M. Marhl, D. Stajer, ST Kocjancic, T. Jagric,
M. Podbregar, M. Perc |
Cited in: 1. Perc M, Green AK, Dixon CJ, Marhl M, Establishing the stochastic nature of intracellular calcium oscillations from experimental data, Biophys. Chem. 132 (2008) 33-38. 2. Gosak M, Marhl M, Perc M, Chaos out of internal noise in the collective dynamics of diffusively coupled cells, Eur. Phys. J. B 62 (2008) 171-177. 3. Strohmenger HU, Predicting defibrillation success, Current Opinion in Critical Care 14 (2008) 311-316. 4. Perc
M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally
observed responses of pancreatic acinar cells to acetylcholine, Chaos
19 (2009) Art. No.: 037113. |
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D. Devetak, B. Mencinger-Vracko, M, Devetak, M. Marhl,
A. Spernjak |
Cited in: 1. Mencinger-Vracko B, Devetak D, Orientation of the pit-building antlion larva Euroleon (Neuroptera, Myrmeleontidae) to the direction of substrate vibrations caused by prey, Zoology 111 (2008) 2-8. 2. Devetak D, Substrate particle size-preference of wormlion Vermileo vermileo (Diptera: Vermileonidae) larvae and their interaction with antlions, Eur. J. Entomol. 105 (2008) 631-635. 3. Scharf I, Golan B, Ovadia O, The effect of sand depth, feeding regime, density, and body mass on the foraging behaviour of a pit-building antlion, Ecol. Entomol. 34 (2009) 26-33. 4. Ruxton GD, Non-visual crypsis: a review of the empirical evidence for camouflage to senses other than vision, Philos. T. R. Soc. B 364 (2009) 549-557. 5. Guillette
LM, Hollis KL, Markarian A, Learning in a sedentary insect predator:
Antlions (Neuroptera: Myrmeleontidae) anticipate a long wait, Behav.
Process. 80 (2009) 224-232. |
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M. Gosak, M. Marhl, M. Perc |
Cited in: 1. Tuckwell HC, Nonlinear effects in white-noise driven spatial diffusion: General analytical results and probabilities of exceeding threshold, Physica A 387 (2008) 1455-1463. 2. Perc M, Gosak M, Pacemaker-driven stochastic resonance on diffusive and complex networks of bistable oscillators, New J. Phys. 10 (2008) Art. No. 053008. 3. Sun XJ, Perc M, Lu QS, Lu QS, Kurths J, Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons, Chaos 18 (2008) Art. No. 023102. 4. Tuckwell HC, Analytical and Simulation Results for the Stochastic Spatial Fitzhugh-Nagumo Model Neuron, Neural Comput. 20 (2008) 3003-3033. 5. Lu QS, Gu HG, Yang ZQ, Shi X, Duan LX, Zheng YH, Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis, Acta Mech. Sinica 24 (2008) 593-628. 6. Gosak M, Cellular diversity promotes intercellular Ca2+ wave propagation, Biophys. Chem. 139 (2009) 53-56. 7. Li QS, Li HY, Internal noise-driven circadian oscillator in Drosophila, Biophys. Chem. 145 (2009) 57-63. 8. Xie YH, Gong YB, Hao YH, Ma XG, Synchronization transitions on complex thermo-sensitive neuron networks with time delays, Biophys. Chem. 146 (2010) 126-132. 9. Wang CN, Ma J, Tang J, Li YL, Instability and Death of Spiral Wave in a Two-Dimensional Array of Hindmarsh-Rose Neurons, Commun. Theor. Phys. 53 (2010) 382-388. 10. Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold protein on MAPK cascade: A qualitative modeling, Biophys. Chem. 147 (2010) 130-139. 11. Sun XJ, Lu QS, Spatial coherence resonance induced by coloured noise and parameter diversity in a neuronal network, Chin. Phys. B, 19 (2010) Art. No.: 040504. 12. Chignola R, Del Fabbro A, Milotti E, Dynamics of intracellular Ca2+ oscillations in the presence of multisite Ca2+-binding proteins, Physica A 389 (2010) 3172-3178. 13. Shi JC, Signal transduction and amplification in a circadian oscillator: Interaction between two colored noises, J. theor. Biol. 265 (2010) 565-571. |
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M. Marhl, V. Grubelnik Role of cascades in converting oscillatory signals into stationary step-like responses Biosystems 87 (2007) 58-67 |
Cited in: 1. Salazar C, Politi AZ, Hofer T, Decoding of calcium oscillations by phosphorylation cycles: Analytic results, Biophys. J. 94 (2008) 1203-1215. 2. Knoke B, Marhl M, Perc M, Schuster S, Equality of average and steady-state levels in some nonlinear models of biological oscillations, Theor. Biosci. 127 (2008) 1-14. 3. Ventura AC, Sepulchre JA, Merajver SD, A hidden feedback in signaling cascades is revealed, PLOS Comput. Biol. 4 (2008) Art. No. e1000041. 4. Marhl M, Gosak M, Perc M, Dixon CJ, Green AK, Spatio-temporal modelling explains the effect of reduced plasma membrane Ca2+ efflux on intracellular Ca2+ oscillations in hepatocytes, J. theor. Biol. 252 (2008) 419-426. 5. Grubelnik V, Dugonik B, Osebik D, Marhl M, Signal amplification in biological and electrical engineering systems Universal role of cascades, Biophys. Chem. 143 (2009) 132-138. 6. Bartl
M, Li P, Schuster S, Modelling the optimal timing in metabolic pathway
activation-Use of Pontryagin's Maximum Principle and role of the Golden
section. BioSystems 101 (2010) 67-77. |
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B. Knoke, M. Marhl, M. Perc, S. Schuster |
Cited in: 1. Zhu XL, Sang JP, Wang LL, Huang SY, Zou XW, Structure properties and synchronizability of cobweb-like networks, Physica A 387 (2008) 6646-6656. 2. Knoke B, Bodenstein C, Marhl M, Perc M, Schuster S, Jensen's inequality as a tool for explaining the effect of oscillations on the average cytosolic calcium concentration, Theor. Biocsi. 129 (2010) 25-38. 3. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. |
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M. Gosak, M. Marhl, M. Perc |
Cited in: 1. Wang Y, Li QS, Luo J, Explicit calcium bursting stochastic resonance, Biophys. Chem. 142 (2009) 40-45. 2. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 3. Szekely D, Brennan SC, Mun HC, Conigrave AD, Kuchel PW, Effectors of the frequency of calcium oscillations in HEK-293 cells: wavelet analysis and a computer model, Conference Information: 32nd Annual Meeting of the Australian-Society-for-Biophysics, SEP 28-OCT 01, 2008 Australian Natl Univ, Canberra, Australia. Source: Eur. Biophys. J. Biophys. 39 (2009) Issue: 1 Sp. Iss., pp.: 149-165. 4. Li QS, Li HY, Internal noise-driven circadian oscillator in Drosophila, Biophys. Chem. 145 (2009) 57-63. |
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M. Perc, A.K. Green, C.J. Dixon, M. Marhl |
Cited in: 1. Dupont G, Abou-Lovergne A, Combettes L, Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes, Biophys. J. 95 (2008) 2193-2202 . 2. Chao AC, Li HY, Chuang GS, Ho PY, A Positive Real Eigenvalue Condition for the Determination of Unstable Steady States in Chemical Reaction Networks, Z. Naturforsch. A 63 (2008) 778-790. 3. Liu JL, Brazier-Hicks M, Edwards R, A kinetic model for the metabolism of the herbicide safener fenclorim in Arabidopsis thaliana, Biophys. Chem. 143 (2009) 85-94. 4. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 5. Dupont G, Combettes L, What can we learn from the irregularity of Ca2+ oscillations? Chaos 19 (2009) Art. No.: 037112. 6. Skupin A, Falcke M, From puffs to global Ca2+ signals: How molecular properties shape global signals, Chaos 19 (2009) Art. No.: 037111. 7. Falcke M, Introduction to Focus Issue: Intracellular Ca2+ Dynamics- A Change of Modeling Paradigm? Chaos 19 (2009) Art. No.: 037101. 8. Szekely D, Brennan SC, Mun HC, Conigrave AD, Kuchel PW, Effectors of the frequency of calcium oscillations in HEK-293 cells: wavelet analysis and a computer model, Conference Information: 32nd Annual Meeting of the Australian-Society-for-Biophysics, SEP 28-OCT 01, 2008 Australian Natl Univ, Canberra, Australia. Source: Eur. Biophys. J. Biophys. 39 (2009) Issue: 1 Sp. Iss., pp.: 149-165. 9. Hazledine S, Sun J, Wysham D, Downie AJ, Oldroyd GED, Morris RJ, Nonlinear time series analysis of nodulation factor induced calcium oscillations: Evidence for deterministic chaos? PLoS ONE 4 (2009) Art. No. e6637. 10. Xie YH, Gong YB, Hao YH, Ma XG, Synchronization transitions on complex thermo-sensitive neuron networks with time delays, Biophys. Chem. 146 (2010) 126-132. 11. Solovey G, Dawson SP, Intra-Cluster Percolation of Calcium Signals, PLoS ONE 5 (2010) Art. No. e8997. 12. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes, Biophys. Chem. 148 (2010) 42-50. 13. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion, Physica A 389 (2010) 3791-3803. 14. Stratton RC, Squires PE, Green AK, 17 beta-Estradiol Elevates cGMP and, via Plasma Membrane Recruitment of Protein Kinase GI alpha, Stimulates Ca2+ Efflux from Rat Hepatocytes, J. Biol. Chem. 285 (2010) 27201-27212. 15. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. 16. Calabrese A, Fraiman D, Zysman D, Dawson SP, Stochastic fire-diffuse-fire model with realistic cluster dynamics. Phys. Rev. E 82 (2010) Art. No. 031910. |
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M. Marhl, M. Gosak M, M. Perc, C.J. Dixon, Green AK |
Cited in: 1. Dupont G, Abou-Lovergne A, Combettes L, Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes. Biophys. J. 95 (2008) 2193-2202. 2. Dupont G, Combettes L, What can we learn from the irregularity of Ca2+ oscillations? Chaos 19 (2009) Art. No.: 037112. 3. Szekely D, Brennan SC, Mun HC, Conigrave AD, Kuchel PW, Effectors of the frequency of calcium oscillations in HEK-293 cells: wavelet analysis and a computer model, Conference Information: 32nd Annual Meeting of the Australian-Society-for-Biophysics, SEP 28-OCT 01, 2008 Australian Natl Univ, Canberra, Australia. Source: Eur. Biophys. J. Biophys. 39 (2009) Issue: 1 Sp. Iss., pp.: 149-165. 4. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion. Physica A 389 (2010) 3791-3803. 5. Stratton RC, Squires PE, Green AK, 17 beta-Estradiol Elevates cGMP and, via Plasma Membrane Recruitment of Protein Kinase GI alpha, Stimulates Ca2+ Efflux from Rat Hepatocytes. J. Biol. Chem. 285 (2010) 27201-27212. |
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M. Perc, M. Rupnik, M. Gosak, M. Marhl |
Cited in: 1. Falcke M, Introduction to Focus Issue: Intracellular Ca2+ Dynamics- A Change of Modeling Paradigm? Chaos 19 (2009) Art. No.: 037101. 2. Marhl M, Gosak M, Perc M, Roux E, Importance of cell variability for calcium signaling in rat airway myocytes. Biophys. Chem. 148 (2010) 42-50. 3. Yi M, Liu QA, Michaelis-Menten mechanism for single-enzyme and multi-enzyme system under stochastic noise and spatial diffusion. Physica A 389 (2010) 3791-3803. 4. Wlodkowic D, Cooper JM, Microfabricated analytical systems for integrated cancer cytomics, Analytic. Bioanalytic. Chem. 398 (2010) 193-209. |
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M. Gosak, M. Marhl,
M. Perc |
Cited in: 1. Perc M, Rupnik M, Gosak M, Marhl M, Prevalence of stochasticity in experimentally observed responses of pancreatic acinar cells to acetylcholine, Chaos 19 (2009) Art. No.: 037113. 2. Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold protein on MAPK cascade: A qualitative modeling. Biophys. Chem. 147 (2010) 130-139. |
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V. Grubelnik, B. Dugonik, D. Osebik, M.
Marhl Signal amplification in biological and electrical engineering systems: Universal role of cascades Biophysical Chemistry 143 (2009) 132-138 |
Cited in: 1.
Yi M, Xia KL, Zhan M, Theoretical study for regulatory property of scaffold
protein on MAPK cascade: A qualitative modeling, Biophys. Chem.
147 (2010) 130-139. |
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B. Knoke, C. Bodenstein, M. Marhl, M. Perc, S. Schuster |
Cited in: 1. Bodenstein C, Knoke B, Marhl M, Perc M, Schuster S, Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation. Phys. Biol. 7 (2010) Art. No. 036009. |
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*Citations beyond the Web of Science (e.g. Scopus and others...)