Modified Hodgkin-Huxley Equations Arising from Mesoscopic Voltage-Gated Processes

摘要

The voltage-gated ion channels system is an example of a classical open system. This work establishes conditions on open ion channel dynamics for which a modified Hodgkin-Huxley equation for the membrane voltage arises as propagation of chaos. This is the approach we propose in order to study the mesoscopic voltage-gated ion channel dynamics together with the macroscopic voltage equation.