论文标题

可激发媒体中流动驱动的脉冲宽度控制

Flow driven control of pulse width in excitable media

论文作者

Misselwitz, Adrian, Lafon, Suzanne, Julien, Jean-Daniel, Alim, Karen

论文摘要

神经传导中的脉冲形成模型不仅为神经元动力学提供了多种洞察力,而且还提供了脉冲形成的非线性动力学。最近观察到神经元电化脉冲还驱动了管状神经元壁的机械变形,从而产生随之而来的细胞质流动,现在质疑流动对脉冲形成电化学动力学的影响。在这里,我们从理论上研究了古典Fitzhugh-Nagumo模型,现在考虑到脉冲传播器通常描述膜电位的脉冲传播器之间的对流耦合,在这里触发机械变形,因此,处理流动幅度,以及脉冲控制器,一种随后流动流动的化学物质。我们发现,使用分析计算和数值模拟,对流耦合允许对脉冲宽度进行线性控制,同时使脉冲速度不变。因此,我们通过流体流量偶联发现了对脉冲宽度的独立控制。

Models of pulse formation in nerve conduction have provided manifold insight not only into neuronal dynamics but also the non-linear dynamics of pulse formation in general. Recent observation of neuronal electro-chemical pulses also driving mechanical deformation of the tubular neuronal wall and thereby generating ensuing cytoplasmic flow now question the impact of flow on the electro-chemical dynamics of pulse formation. We, here, theoretically investigate the classical Fitzhugh-Nagumo model now accounting for advective coupling between the pulse propagator typically describing membrane potential and here triggering mechanical deformations and, thus, governing flow magnitude, and the pulse controller, a chemical species advected with the ensuing fluid flow. Employing analytical calculations and numerical simulations we find, that advective coupling allows for a linear control of pulse width while leaving pulse velocity unchanged. We therefore uncover an independent control of pulse width by fluid flow coupling.

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