arXiv 1707.033442017-07physics.bio-ph

神经膜内action电位期间Na+通道门控主方程的速率方程

Rate equations for a Na+ channel gating master equation during the action potential within a neural membrane

S. R. Vaccaro

备注：: 13 pages, 12 figures

摘要：

神经膜中的动作电位由Na+和K+通道离子电流产生，所述离子电流可以从电流方程和激活变量m和n以及Na+失活变量h的速率方程计算。假设Na+通道具有三个激活传感器，并且激活和失活是协同过程，当第一失活状态的占据概率小并且其余失活状态贡献于总失活状态时，描述通道门控的十二状态主方程可以简化为五状态系统的动力学方程。在独立激活传感器的情况下，失活速率通常取决于激活变量m（t）以及正向失活转变速率。然而，当m（t）具有比h（t）更快的时间常数时，失活速率可以通过电压依赖性函数来近似，因此，动作电位期间主方程的解可以通过m和h的Hodgkin-Huxley速率方程的解来近似。

英文摘要：

The action potential in a neural membrane is generated by Na+ and K+ channel ionic currents that may be calculated from a current equation and the rate equations for activation variables m and n, and the Na+ inactivation variable h. Assuming that a Na+ channel has three activation sensors, and activation and inactivation are cooperative processes, a twelve state master equation that describes channel gating may be reduced to kinetic equations for a five state system when the occupational probability of the first inactivated state is small, and the remaining inactivated states contribute to a total inactivated state. In the case of independent activation sensors, the inactivation rate is, in general, dependent on the activation variable m(t) as well as the forward inactivation transition rates. However, when m(t) has a faster time constant than h(t), the inactivation rate may be approximated by a voltage-dependent function, and therefore, the solution of the master equation during an action potential may be approximated by the solution of Hodgkin-Huxley rate equations for m and h.

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摘要：

英文摘要：

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