标题： 机电模型在神经中的设计与稳定性分析 显示英文标题

标题： Design and Stability Analysis of an Electromechanical Model for Nerves

摘要： 在本工作中，我们提出并研究了通过线性近似神经冲动传播作为电信号和机械信号的稳定性。 我们提出了由于变形、弯曲和拉伸而在生物膜中存储的势能，随着动作电位在神经纤维中的传播。 从势能出发，我们推导出机电耦合力，并尝试通过引入机电耦合力来统一两种模型，以解释神经信号传播中的电活动和机械活动。 我们通过Routh Hurwitz稳定性准则检查了神经机电模型的平衡状态的稳定性。 最后，我们通过四阶龙格-库塔方法展示了神经机电模型的数值模拟结果。 显示英文摘要

摘要： In this work, we propose and study the stability of nerve impulse propagation as electrical and mechanical signals through linear approximation. We present a potential energy stored in the biomembrane due to the deformation, bending, and stretching as the action potential propagates in the nerve fibre. From the potential energy, we derive electromechanical coupling forces and an attempt is made to unify the two models to account for both the electrical and mechanical activities of nerve signal propagation by introducing the electromechanical coupling forces. We examine the stability of the equilibrium states of the electromechanical model for nerves through the Routh Hurwitz stability criteria. Finally, we present results of the numerical simulations of the electromechanical model for nerves through Runge Kutta method of order four.