嵌入脂质膜上的孤子的绝热演化
Adiabatic evolution of solitons embedded on lipid membranes
AI总结：
本文基于Heimburg-Jackson模型，采用准稳态方法研究脂质双层中孤子在黏弹性流体影响下的绝热演化，并涵盖液态-凝胶相变中暗孤子与亮孤子的产生。
摘要：
Heimburg-Jackson模型，即神经冲动的热力学孤子理论，作为研究神经冲动和脂质双层动力学的替代模型已有良好记录。在该框架下，神经冲动可表示为阻尼非线性薛定谔方程所描述的低振幅非线性激发，其绝热演化可用直接微扰方法分析。基于上述内容，我们采用准稳态方法开展当前研究，以获得嵌入脂质双层中的孤子在黏弹性流体影响下的绝热演化。该分析涵盖脂质双层的液态-凝胶相变，在此过程中分别出现暗孤子和亮孤子。
英文摘要：
The Heimburg-Jackson model, or thermodynamic soliton theory of nervous impulses, has a well-established record as an alternative model for studying the dynamics of nerve impulses and lipid bilayers. Within this framework, nerve impulses can be represented as nonlinear excitations of low amplitude depicted by the damped nonlinear Schrödinger equation and their adiabatic evolution can be analyzed using direct perturbative methods. Based on the foregoing, we carry out the current study using the quasi-stationary approach to obtain the adiabatic evolution of solitons embedded in lipid bilayers under the influence of a viscous elastic fluid. This analysis encompasses liquid-to-gel transition of the lipid bilayers, for whose dark and bright solitons arise, respectively.
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