Özer, Mahmut

Article | 2004 | NeuroReport15 ( 9 ) , pp.1451 - 1455

We previously formulated dynamics of ion channel gates by the path probability method. In this study, we apply that theoretical approach to derive the activation rate kinetics of T-type calcium channel in thalamic relay neurons. We derive explicit expressions of the forward and backward rate constants and show that the proposed rate constants accurately capture form of the empirical time constant, and that they also provide its saturation to a constant value at depolarized membrane potentials. We also compare our derivations with linear and nonlinear thermodynamic models of rate kinetics obtained from the same calcium channel, and s . . .how that it is possible to capture saturation of the time constant for the depolarized membrane potentials by the only proposed rate constants. © 2004 Lippincott Williams & Wilkins Daha fazlası Daha az

Özer, Mahmut

Article | 2004 | NeuroReport15 ( 12 ) , pp.1953 - 1957

Thermodynamic models of ionic currents are used to deduce exact functional form of rate constant. It is first assumed that free energy depends linearly on voltage. A major criticism of this approach is that time constant can reach arbitrarily small values resulting in an aberrant behavior. Recently, non-linear effects of electric field on the free energy were considered to solve this problem based on T-type calcium channel. In this study, we show that the current model approximately captures the voltage-dependence of the time constant only in a specific range of voltage and does not provide saturation of the time constant outside th . . .is range. Then, we propose an improved non-linear thermodynamic model and illustrate its applicability based on T-type calcium channel. © 2004 Lippincott Williams & Wilkins Daha fazlası Daha az

Özer, Mahmut

Article | 2007 | Physica A: Statistical Mechanics and its Applications379 ( 2 ) , pp.579 - 586

The linear, nonlinear and improved nonlinear thermodynamic models of the voltage-dependent ion channels were proposed to deduce the exact functional form of the rate constants. In this context, we present a comparative analysis of the linear, nonlinear and improved nonlinear thermodynamic models of voltage-dependent channel kinetics based on the sodium activation experimental data of Cav3.1 channel. We also provide some insight on the assumptions used to derive the thermodynamic models of the channels and show that the improved nonlinear thermodynamic model provides a simple and physically plausible approach to describe the behavior . . . of the voltage-dependent ion channels. © 2007 Elsevier B.V. All rights reserved Daha fazlası Daha az