Symbolic dynamics of coupled neuron model of calcium and voltage

[1] Bootman M D, Berridge M J, Roderick H L. Calcium signaling:more messengers, more channels, more complexity [J]. Current Biology,2002,12:563-565 [2] Hodgkin A L, Huxley A F. A guantitative description of membrane current and application to conduction and excitation in nerve[J]. Journal of Physiology,1952,117:500-544 [3] Chay T R, Fan Y S, Lee Y S. Bursting, spiking, chaos, fractals and universality in biological rhythms[J].International Journal of Bifurcation and Chaos,1995,5(3):595-635 [4] Izhikevich E M. Neural excitability, spiking, and bursting [J]. International Journal of Bifurcation and Chaos,2000,10(6):1171-1266 [5] Morita K, Kotetsu K. Oscillation of Ca²⁺-linked K⁺ conductance in bullfrog sympathetic ganglion cell is sensitive to intercellular anions [J]. Nature,1980,283:204-205 [6] Berridge M J. Neuronal calcium signaling[J]. Neuron,1998,21(1):13-26 [7] Chay T R. Electrical bursting and luminal calcium oscillation in excitable cell models[J]. Biological Cybernetics,1996,75:419-431 [8] Marhl M, Schuster S, Brumen M, et al. Modelling the interrelations between calcium oscillations and ER membrane potential oscillations[J]. Biophysical Chemistry,1997,63:221-239 [9] Friel D D. Mitochondria as regulators of stimulus-evoked calcium signals in neurons[J]. Cell Calcium,2000,28:307-316 [10] Haberichter T, Marhl M, Heeinrich R. Birhythmicity, thirhythmicity and chaos in bursting calcium oscillations[J]. Biophysical Chemistry,2001,90:17-30 [11] 郝柏林.从抛物线谈起:混沌动力学导论[M].上海:上海科技教育出版社,1995:33-103 Hao Bailin. Staring with parabolas:an introduction to chaotic dynamics[M]. Shanghai:Shanghai Scientific and Technological Education Publishing House,1995:33-103(in Chinese) [12] 郑伟谋.实用符号动力学[M].上海:上海科技教育出版社,1994:11-20 Zheng Weimou. Applied symbolic dynamics[M]. Shanghai:Shanghai Scientific and Technological Education Publishing House,1994:11-20(in Chinese) [13] Chay T R. The effect of inactivation of calcium channels by intracellular Ca²⁺ ions in the bursting pancreatic β-cells[J]. Cell Biophysics,1987,11:77-90 [14] Lipscombe D, Madison D V, Poenie M, et al. Spatial distribution of calcium channels and cytosolic calcium transients in growth cones and cell bodies of sympathetic neurons[J]. Proceedings of the National Academy of Sciences,1988,85:2398-2402 [15] Liano L, Dressen J. Intradendritic release of calcium induced by glutamate in cerebellar Purkinje cells[J].Neuron,1991,7:577-583