Which formalism to use for modeling voltage-dependent conductances?

Computational Neuroscience: Realistic Modeling for Experimentalists

Volumn , Issue , 2000, Pages 129-157

  Destexhe, Alain ^a   Huguenard, John ^b  

^a Unite de Neurosciences Integratives et Computationnelles   (France)

^b STANFORD UNIVERSITY MEDICAL CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85030474354     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (39)

1. Hodgkin, A. L. and Huxley, A. F., A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol., 117, 500, 1952.
2. Hille, B., Ionic Channels of Excitable Membranes, Sinauer Associates Inc., Sunderland, MA, 1992.
3. Armstrong, C. M. and Hille, B., Voltage-gated ion channels and electrical excitability, Neuron, 20, 371, 1998.
4. Llinás, R. R., The intrinsic electrophysiological properties of mammalian neurons: a new insight into CNS function, Science, 242, 1654, 1988.
5. Sakmann, B. and Neher, E., Eds., Single-Channel Recording, 2nd ed., Plenum Press, New York, 1995.
6. Destexhe, A., Mainen, Z. F., and Sejnowski, T. J., Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism, J. Compu. Neurosci., 1, 195, 1994.
7. Tsien, R. W. and Noble, D., A transition state theory approach to the kinetics of conductances in excitable membranes, J. Membr. Biol., 1, 248, 1969.
8. Hill, T. L. and Chen, Y. D., On the theory of ion transport across nerve membranes. VI. Free energy and activation free energies of conformational change, Proc. Natl. Acad. Sci. U.S.A., 69, 1723, 1972.
9. Stevens, C. F., Interactions between intrinsic membrane protein and electric field, Biophys. J., 22, 295, 1978.
10. Eyring, H., The activated complex in chemical reactions, J. Chem. Phys., 3, 107, 1935.
11. Johnson, F. H., Eyring, H., and Stover, B. J., The Theory of Rate Processes in Biology and Medicine, John Wiley & Sons, New York, 1974.
12. Andersen, O. and Koeppe, R. E., II, Molecular determinants of channel function, Physiol. Rev., 72, S89, 1992.
13. Borg-Graham, L. J., Modeling the nonlinear conductances of excitable membranes, in Cellular and Molecular Neurobiology: A Practical Approach, Wheal, H. and Chad, J., Eds., Oxford University Press, New York, 1991, p. 247.
14. Willms, A. R., Baro, D. J., Harris-Warrick, R. M., and Guckenheimer, J., An improved parameter estimation method for Hodgkin-Huxley models, J. Comput. Neurosci., 6, 145, 1999.
15. Destexhe, A. and Huguenard, J. R., Nonlinear thermodynamic models of voltagedependent currents, J. Compu. Neurosci., in press.
16. Armstrong, C. M., Sodium channels and gating currents, Physiol. Rev., 62, 644, 1981.
17. Aldrich, R. W., Corey, D. P., and Stevens, C. F., A reinterpretation of mammalian sodium channel gating based on single channel recording, Nature, 306, 436, 1983.
18. Bezanilla, F., Gating of sodium and potassium channels, J. Membr. Biol., 88, 97, 1985.
19. Aldrich, R. W., Inactivation of voltage-gated delayed potassium currents in molluscan neurons, Biophys. J., 36, 519, 1981.
20. Marom, S. and Abbott, L. F., Modeling state-dependent inactivation of membrane currents, Biophys. J., 67, 515, 1994.
21. Colquhoun, D. and Hawkes, A. G., On the stochastic properties of single ion channels, Proc. Roy. Soc. Lond. Ser. B, 211, 205, 1981.
22. Johnston, D. and Wu, S. M., Foundations of Cellular Neurophysiology, MIT Press, Cambridge, 1995.
23. Fitzhugh, R., A kinetic model of the conductance changes in nerve membrane, J. Cell. Comp. Physiol., 66, 111, 1965.
24. Armstrong, C. M., Inactivation of the potassium conductance and related phenomena caused by quaternary ammonium ion injection in squid axons, J. Gen. Physiol., 54, 553, 1969.
25. Vandenberg, C. A. and Bezanilla, F., A model of sodium channel gating based on single channel, macroscopic ionic, and gating currents in the squid giant axon, Biophys. J., 60, 1511, 1991.
26. + channel by electrostatic interactions, Neuron, 5, 685, 1990.
27. Bush, P. and Sejnowski, T. J., Simulations of a reconstructed cerebellar Purkinje cell based on simplified channel kinetics, Neural Comput., 3, 321, 1991.
28. Horn, R. J., Patlak, J., and Stevens, C. F., Sodium channels need not open before they inactivate, Nature, 291, 426, 1981.
29. Labarca, P., Rice, J. A., Fredkin, D. R., and Montal, M., Kinetic analysis of channel gating. Application to the cholinergic receptor channel and the chloride channel from Torpedo Californica, Biophys. J., 47, 469, 1985.
30. Yamada, W. N., Koch, C., and Adams, P. R., Multiple channels and calcium dynamics, in Methods in Neuronal Modeling, Koch, C. and Segev, I., Eds., MIT Press, Cambridge, 1989, p. 97.
31. Destexhe, A., Mainen, Z. F., and Sejnowski, T. J., Kinetic models of synaptic transmission, in Methods in Neuronal Modeling, 2nd ed., Koch, C. and Segev, I., Eds., MIT Press, Cambridge, 1998, p. 1.
32. Jahnsen, H. and Llinás, R. R., Ionic basis for the electroresponsiveness and oscillatory properties of guinea-pig thalamic neurons in vitro, J. Physiol., 349, 227, 1984.
33. Huguenard, J. R. and Prince, D. A., A novel T-type current underlies prolonged calcium-dependent burst firing in GABAergic neurons of rat thalamic reticular nucleus, J. Neurosci., 12, 3804, 1992.
34. Huguenard, J. R. and McCormick, D. A., Simulation of the currents involved in rhythmic oscillations in thalamic relay neurons, J. Neurophysiol., 68, 1373, 1992.
35. De Schutter, E. and Smolen, P., Calcium dynamics in large neuronal models, in Methods in Neuronal Modeling, 2nd ed., Koch, C. and Segev, I., Eds., MIT Press, Cambridge, 1998, p. 211.
36. Coulter, D. A., Huguenard, J. R., and Prince, D. A., Calcium currents in rat thalamocortical relay neurons: kinetic properties of the transient, low-threshold current, J. Physiol., 414, 587, 1989.
37. McCormick, D. A. and Huguenard, J. R., A model of the electrophysiological properties of thalamocortical relay neurons, J. Neurophysiol., 68, 1384, 1992.
38. Chen, C. and Hess, P., Mechanisms of gating of T-type calcium channels, J. Gen. Physiol., 96, 603, 1990.
39. Destexhe, A., Neubig, M., Ulrich, D., and Huguenard, J. R., Dendritic low-threshold calcium currents in thalamic relay cells, J. Neurosci., 18, 3574, 1998.