Non-adiabatic membrane voltage fluctuations driven by two ligand-gated ion channels
1Department of Mathematics, Beijing Technology and Business University, Beijing 100048, People's Republic of China.
Abstract:
In this paper, we construct a piecewise deterministic Markov process to model the membrane voltage fluctuations driven by two ligand-gated channels. The series-solution method is applied to the third-order ordinary differential equations to get its general solutions. Also, the stationary probability density function (PDF) is just the special solution that satisfies certain boundary conditions. The bifurcation conditions of the PDF at the boundary are obtained analytically. As an application, the PDF is used to calculate the power dissipation of the ionic currents in the (nonequilibrium) steady states.
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