Theoretical simulation of the calcium action potential in squid giant synapse: Repetitive stimulation

Journal of Biological Physics - Tập 19 - Trang 71-84 - 1993
Arunava Adhikari1, Kamales Bhaumik1
1TNP Division, Saha Institute of Nuclear Physics, Sector I, Block-AF, Bidhannagar, Calcutta, India

Tóm tắt

A biophysical model of the experimentally observed calcium action potential (CAP) in squid giant synapse is proposed. Whereas the inclusion of the inward calcium current in the Hodgkin-Huxley model can generate the rising phase of CAP, to account for the observed termination of the action potential, a repolarizing process needs to be introduced. Adding a term representing Ca-activated K current, the observed features of CAP can be reproduced. However, one feature of CAP, namely the gradual shortening of the plateau duration on repetitive stimulation, cannot be simulated by this model. In this paper, it is proved that both the termination of the action potential and the gradual shortening of the plateau cannot be accounted for by inclusion of a single repolarizing process. One more repolarizing process, namely a slow voltage-dependent Ca-inactivation, is therefore proposed to account for all the observed features of CAP.

Tài liệu tham khảo

Adhikari, A. and Bhaumik, K., Theoretical simulation of the calcium action potential in squid giant synapse: The rising phase,Ind. J. Phys. 65B (1991), 505–516. Adhikari, A. and Bhaumik, K., Theoretical simulation of the calcium action potential in squid giant synapse: The plateau termination,J. Biol. Phys. 18 (1991), 151–165. Katz, B. and Miledi, R., Tetrodotoxin-resistant electric activity in presynaptic terminals,J. Physiol. (Lond.)203 (1969), 459–487. Hodgkin, A.L. and Huxley, A.F., A quantitative description of membrane current and its application to conduction and excitation in nerve,J. Physiol. (Lond.)117 (1952), 500–544. Llinás, R., Steinberg, I.Z. and Walton, K., Presynaptic calcium currents in squid giant synapse,Biophys. J. 33 (1981) 289–322. Eckert, R. and Chad, J.E., Inactivation of Ca channels,Prog. Biophys. Molec. Biol. 44 (1984), 215–267. Hopkins, W.F., Satin, L.S., and Cook, D.L., Inactivation kinetics and pharmacology distinguishing two calcium currents in mouse pancreatic B-cells,J. Membr. Biol. 119 (1991), 229–239. Sherman, A., Keizen, J. and Rinzel, J., Domain model for Ca2+-inactivation of Ca2+ channels at low channel density,Biophys. J. 58 (1990), 985–995. Pumplin, D.W., Reese, T.S. and Linás, R., Are the presynaptic membrane particles the calcium channels?,Proc. Natl. Acad. Sci. U.S.A. 78 (1981), 7210–7213. Simon, S.M. and Linás, R., Compartmentalization of the submembrane calcium activity during calcium influx and its significance in transmitter release,Biophys. J. 48 (1985), 485–498. Katz, B. and Miledi, R., The effect of prolonged depolarization on synaptic transfer in the stellate ganglion of the squid,J. Physiol. (Lond.)216 (1971), 503–512. Kogan, B.Y., Karplus, W.J., Billett, B.S., Pang, A.T., Karaguezian, H.S., and Khan, S.S., The simplified FitzHugh-Nagumo model with action potential duration restitution: Effects on 2D wave propagation,Physica D 50 (1991), 327–340. Kurrer, C. and Schulter, K., Effect of noise and perturbation on limit cycle system,Physica D 50 (1991), 311–320. Noble, D. and Stein, R.B., The threshold conditions for initiation of action potentials by excitable cells,J. Physiol. (Lond.)187 (1966), 129–162. Hill, A.V., Excitation and accommodation in nerve,Proc. R. Soc. B 119 (1936), 305–355. Cronin, J.,Mathematics of Cell Electrophysiology, Marcel Dekker, New York (1981). Stockbridge, N., Etiology of supernormal period,Biophys. J. 54 (1988), 777–780. Stockbridge, N. and Yamah, N., Excitability changes in the crustacean motor axon following activity,J. Math. Biol. 28 (1990), 487–499. Alberts, B., Bray, D., Lewis, J., Raff, M., Roberts, K., and Watson, J.D.,Molecular Biology of the Cell, Garland, N.Y. (1989) pp. 1094–1096. Fogelson, A.L. and Zucker, R.S., Presynaptic calcium diffusion from various arrays of single channels: Implication for transmitter release and synaptic facilitation,Biophys. J. 48 (1985), 1003–1017.