论文标题

骨髓束的双域模型的推导

Derivation of a bidomain model for bundles of myelinated axons

论文作者

Jerez-Hanckes, Carlos, Ávila, Isabel A. Martínez, Pettersson, Irina, Rybalko, Volodymyr

论文摘要

这项工作涉及髓鞘轴突神经束的多尺度建模。我们提出了宏观双域模型的严格推导,该模型描述了基于Fitzhugh-Nagumo膜动力学的筋膜中电势的行为。该方法基于两尺度收敛机制与单调操作员的方法相结合。

The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We present a rigorous derivation of a macroscopic bidomain model describing the behavior of the electric potential in the fascicle based on the FitzHugh-Nagumo membrane dynamics. The approach is based on the two-scale convergence machinery combined with the method of monotone operators.

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