A new approach to define dynamics of the ion channel gates

NeuroReport

Volumn 15, Issue 2, 2004, Pages 335-338

  Ozer, Mahmut ^a   Erdem, Riza ^b   Provaznik, Ivo ^c  

^a ZONGULDAK KARAELMAS UNIVERSITY   (Turkey)

^b GAZIOSMANPASA UNIVERSITY   (Turkey)

^c BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

Author keywords

(In)Activation gate; Ion channel; Path probability method; Statistical mechanics

Indexed keywords

ARTICLE; CELL MEMBRANE; CHANNEL GATING; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; PROBABILITY; STATISTICAL MODEL;

CELL MEMBRANE; ION CHANNEL GATING; ION CHANNELS; MEMBRANE POTENTIALS; MODELS, NEUROLOGICAL; MODELS, STATISTICAL; NONLINEAR DYNAMICS; SYNAPTIC TRANSMISSION;

EID: 1542290131     PISSN: 09594965     EISSN: None     Source Type: Journal    
DOI: 10.1097/00001756-200402090-00025     Document Type: Article

References (25)

1. Lee K and Sung W. Ion transport and channel transition in biomembranes. Physica A 315, 79-97 (2002).
2. Aidley DJ and Stanfield PR. Ion Channels. Cambridge: Cambridge University Press; 1996.
3. Hodgkin AL and Huxley AF. A quantitative description of membrane currents and its application to conduction and excitation in nerve. J Physiol Lond 117, 500-544 (1952).
4. Koch C. Biophysics of Computation. New York: Oxford University Press; 1999.
5. Aihara K and Matsumoto G. Temporally coherent organization and instabilities in squid giant axons. J Theor Biol 95, 697-720 (1982).
6. Suenaga A, Komeiji Y, Uebayasi M et al. Computational observation of an ion permeation through a channel protein. Biosci Reports 18, 39-48 (1998).
7. Stevens CF. Interactions between intrinsic membrane protein and electric field. Biophys J 22, 295-306 (1978).
8. Borg-Graham LJ. Modeling the non-linear conductances of excitable membranes. In: Wheal H and Chad J (eds). Cellular and Molecular Neurobiology. New York: Oxford University Press; 1991, pp. 247-275.
9. Hille B. Ionic Channels of Excitable Membranes. Sunderland: Sinauer Associates; 1992.
10. Eyring H. The activated complex in chemical reactions. J Chem Phys 3, 107-115 (1935).
11. Johnston FH, Eyring H and Stover BJ. The Theory of Rate Processes in Biology and Medicine. New York: John Wiley; 1974.
12. Johnston D and Wu SM. Foundation of Cellular Neurophysiology. Cambridge: MIT Press; 1995.
13. Destexhe A and Huguenard JR. Nonlinear thermodynamic models of voltage-dependent currents. J Comput Neurosci 9, 259-270 (2000).
14. Ozer M and Erdem R. A new methodology to define the equilibrium value function in the kinetics of (in)activation gates. NeuroReport 14, 1071-1073 (2003).
15. Eyring H, Lumry R and Woodbury JW. Some application of modern rate theory to physiological systems. Record Chem Prog 10, 100-114 (1949).
16. Kikuchi R. Path probability method. Prog Theor Phys Suppl 35, 1-64 (1966).
17. Kikuchi R. Problems in the foundation of the path probability method: Path probability function and entropy production. In: Moran-Lopez JL and Sanchez JM (eds). Theory and Applications of the Cluster Variation and Path Probability Methods. New York: Plenum Press; 1996, pp. 1-20.
18. Sato H, Datta A and Ishikawa T. Universal dynamic response in solid electrolytes: formalism of the path probability method as applied to transport problems. In: Moran-Lopez JL and Sanchez JM (eds). Theory and Applications of the Cluster Variation and Path Probability Methods. New York: Plenum Press; 1996, pp. 81-93.
19. Mohri T and Miyagishima S. Two distinctive relaxation times leading to kinetic behaviour in configurational relaxation process. Mater Trans, JIM 39, 154-158 (1998).
20. Erdinc A and Keskin M. Equilibrium and nonequilibrium behaviour of the spin-1 Ising model in the quadrupolar phase. Physica A 307, 453-468 (2002).
21. Destexhe A and Huguneard J. Which formalism to use for modeling voltage-dependent conductances? In: DeSchutter E (ed.). Computational Neuroscience, Realistic Modeling for Experimentalists. New York: CRC Press; 2001, pp. 129-157.
22. v1.9. Nature 419, 687-693 (2002).
23. Meunier C and Segev I. Playing the Devil's advocate: is the Hodgkin-Huxley model useful? Trends Neurosci 25, 558-563 (2002).
24. Steinmez PN, Manwani A, Koch C, London M and Segev I. Subthreshold voltage noise due to channel fluctuations in active neuronal membranes. J Comput Neurosci 9, 133-148 (2000).
25. Wada K, Kawada A and Kabasawa Y. Time development of fluctuations in the path probability method. In: Moran-Lopez JL and Sanchez JM (eds). Theory and Applications of the Cluster Variation and Path Probability Methods. New York: Plenum Press; 1996, pp. 53-80.