Conformations and Currents Make the Nerve Signal

IF 0.8 4区 数学
Robert S. Eisenberg, Luigi Catacuzzeno null, Fabio Franciolini
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引用次数: 1

Abstract

. Conformation changes control the function of many proteins and thus much of biology. But it is not always clear what conformation means: is it the distribution of mass? Is it the distribution of permanent charge, like that on acid and base side chains? Is it the distribution of dielectric polarization? Here we point out that one of the most important conformation changes in biology can be directly measured and the meaning of conformation is explored in simulations and theory. The conformation change that underlies the main signal of the nervous system produces a displacement current— NOT an ionic current—that has been measured. Macroscopic measurements of atomic scale currents are possible because total current (including displacement current) is everywhere exactly the same in a one dimensional series system like a voltage clamped nerve membrane, as implied by the mathematical properties of the Maxwell Ampere law and the Kirchhoff law it implies. We use multiscale models to show how the change of a single side chain is enough to modulate dielectric polarization and change the speed of opening of voltage dependent channels. The idea of conformation change is thus made concrete by experimental measurements, theory, and simulations.
神经信号的构象和电流
.构象变化控制着许多蛋白质的功能,因此也控制着许多生物学内容。但构象的含义并不总是很清楚:是质量的分布吗?是永久电荷的分布(如酸和碱侧链上的电荷)?还是介电极化的分布?在这里,我们指出,生物学中最重要的构象变化之一可以直接测量,而构象的含义则可以通过模拟和理论来探索。作为神经系统主要信号基础的构象变化产生的位移电流--而非离子电流--已被测量出来。对原子尺度电流进行宏观测量是可能的,因为在一维串联系统(如电压箝位神经膜)中,总电流(包括位移电流)在任何地方都是完全相同的,这是麦克斯韦安培定律及其所暗示的基尔霍夫定律的数学特性所暗示的。我们使用多尺度模型来展示单侧链的变化如何足以调节介电极化并改变电压依赖通道的开放速度。因此,通过实验测量、理论和模拟,构象变化的概念变得更加具体。
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来源期刊
数学研究
数学研究 MATHEMATICS-
自引率
0.00%
发文量
1109
期刊介绍: Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.
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