Mathematical Sciences: Analysis of Biomathematical Models inSensory Physiology

动物的机械感受器接受机械刺激， 转化为电反应。 研究项目 与此相关的建议是由研究的动机， 主要研究者对特定（触觉） 帕西尼细胞（Pacinian corpuscle） 环层小体接收 以位移形式的机械刺激，因此应力， 由多层弹性膜组成的外囊， 在这些层之间流动。 一个项目是分析一个模型 胶囊中的压力场方程， 不同边界条件和初始条件下的均匀化技术 条件 证据支持压力 通过胶囊传递的压力会对兴奋的 树突状细胞膜，它可能具有应变激活离子 频道 数学模型将通过比较来细化 理论预测与观察

Mechanoreceptors in animals receive mechanical stimuli which are transformed into electrical responses. Research projects associated with this proposal are motivated by the study the principal investigator has made on a particular (tactile) receptor, the Pacinian corpuscle. Pacinian corpuscles receive mechanical stimuli in the form of displacement, hence stress, on an outer capsule composed of many layers of elastic membrane with fluid between these layers. One project is to analyze a model equation for the pressure field in the capsule derived via homogenization techniques under various boundary and initial conditions. Evidence supports the hypothesis that pressure transmitted through the capsule puts stress on the excitable dendritic membrane, which may possess a strain-activated ionic channel. The mathematical models will be refined to by comparing theoretical predictions with observations.