EMERGENT COLLECTIVE BEHAVIOR IN LARGE NUMBERS OF GLOBALLY COUPLED INDEPENDENTLY STOCHASTIC ION CHANNELS
EMERGENT COLLECTIVE BEHAVIOR IN LARGE NUMBERS OF GLOBALLY COUPLED INDEPENDENTLY STOCHASTIC ION CHANNELS
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DOI：
10.1103/physreve.49.3421
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发表时间：
1994-04-01
影响因子：
2.4
通讯作者：
LU, YN
中科院分区：
文献类型：
--
作者：
FOX, RF;LU, YN
在神经膜动作电位产生过程中，介导钠和钾电流的单个离子通道以电压依赖性的转换速率打开和关闭随机电流。跨膜电压通过它们的电压依赖性转换速率全局地耦合否则不依赖于化学计量学的离子通道。随着膜通道密度的增加，向规则的集体行为的转变开始。这一转变的数学基础解释的层次结构的描述收缩。Hodgkin-Huxley方程的随机和确定性修改。
Individual ion channels that mediate sodium and potassium currents during action-potential generation in nerve membranes open and close stochastically with transition rates that are voltage dependent. The transmembrane voltage globally couples the otherwise stochastically independent ion channels through their voltage-dependent transition rates. As the membrane channel density increases, a transition to regular, collective behavior ensues. The mathematical basis for this transition is explained in terms of a hierarchy of description contractions. Stochastic and deterministic modifications of the Hodgkin-Huxley equations are obtained.