Hilt Markus, Zimmermann Walter
Theoretische Physik, Universität Bayreuth, D-95440 Bayreuth, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jan;75(1 Pt 2):016202. doi: 10.1103/PhysRevE.75.016202. Epub 2007 Jan 8.
Transmembrane ion flow through channel proteins undergoing density fluctuations may cause lateral gradients of the electrical potential across the membrane giving rise to electrophoresis of charged channels. A model for the dynamics of the channel density and the voltage drop across the membrane (cable equation) coupled to a binding-release reaction with the cell skeleton [P. Fromherz and W. Zimmerman, Phys. Rev. E 51, R1659 (1995)] is analyzed in one and two spatial dimensions. Due to the binding release reaction spatially periodic modulations of the channel density with a finite wave number are favored at the onset of pattern formation, whereby the wave number decreases with the kinetic rate of the binding-release reaction. In a two-dimensional extended membrane hexagonal modulations of the ion channel density are preferred in a large range of parameters. The stability diagrams of the periodic patterns near threshold are calculated and in addition the equations of motion in the limit of a slow binding-release kinetics are derived.
跨膜离子通过经历密度涨落的通道蛋白流动，可能会导致跨膜电势的横向梯度，从而引发带电通道的电泳。分析了一个与细胞骨架的结合 - 释放反应相耦合的通道密度动力学和跨膜电压降（电缆方程）的模型[P. Fromherz和W. Zimmerman，《物理评论E》51，R1659（1995）]，其空间维度为一维和二维。由于结合 - 释放反应，在图案形成开始时，具有有限波数的通道密度的空间周期性调制受到青睐，其中波数随结合 - 释放反应的动力学速率而降低。在二维扩展膜中，在大范围参数下，离子通道密度的六边形调制是优选的。计算了阈值附近周期性图案的稳定性图，此外还推导了慢结合 - 释放动力学极限下的运动方程。
