脂双层中色散机械波的数值模拟
On numerical modeling of dispersive mechanical waves in lipid bi-layers
摘要：
我们研究了不同的机械效应，伴随着神经脉冲的传播，通过使用数学建模。传播过程由三个相关现象组成：（i）在讨论神经脉冲时通常考虑的动作电位（电信号），（ii）在生物膜中传播的机械波和（iii）轴突内轴浆中的压力波。本研究的主要目标是数值研究如何机械波是由动作电位和系统的特性是如何反映在新兴的波系综。机械波的存在和特性影响波系综的动作电位部分的参数。耦合模型系统的关键特征是：（i）机械脉冲的峰值速度与动作电位的速度相关，而与脂质双层中的声速值无关，（ii）机械波的前沿速度和形状取决于脂质双层中的声速，（iii）机械波的形状可以对动作电位的速度和形状产生影响。
英文摘要：
We investigate different mechanical effects which accompany the nerve pulse propagation by using mathematical modeling. The propagation process is composed by three connected phenomena: (i) the action potential (electrical signal) which is usually considered when nerve pulses are discussed, (ii) the mechanical wave propagating in the biomembrane and (iii) the pressure wave in the axoplasm inside the axon. The main goal of the present study is to investigate numerically how the mechanical wave is generated by the action potential and how the characteristics of the system are reflected in the emerging wave ensemble. %the existence and characteristics of the mechanical wave influence the parameters of an action potential part of the wave ensemble. The key characteristics for the coupled model system are: (i) the velocity of the peak of the mechanical pulse is associated with the velocity of the action potential regardless of the sound velocity value in the lipid bi-layer, (ii) the velocity of the front and the shape of the mechanical wave depends on sound velocity in the lipid bi-layer, (iii) the shape of the mechanical wave can have an effect on the velocity and shape of the action potential.
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