Macroscopic Dynamics of an Excitable Cell in an External Field

9409026 Krassowska本申请中提出的研究开发了一种模型，其中细胞被视为一个单元，其宏观动力学由一组适用于整个细胞的方程控制。 以前的结果在这方面已经放缓，因为一个完全可兴奋的细胞的外部场的反应是由膜上的非线性和动态条件的边值问题。 这项研究将通过开发整个细胞的模型来克服以前的困难。 所提出的工作的目标包括开发一个定量描述的宏观动力学的单细胞在外场中，研究膜折叠和细胞的内部结构对其宏观动力学的影响，并建立光学测量的跨膜电位和宏观动力学的单细胞之间的关系。 ***

9409026 Krassowska The research proposed in this application develops a model in which a cell is treated as a unit and its macroscopic dynamics are governed by a set of equations applicable to the whole cell. Previous results in this area have been slowed because the response to a fully excitable cell to an external field is governed by a boundary valued problem with nonlinear and dynamic conditions on the membrane. This research will overcome the previous difficulty by developing a model of the whole cell. Objectives of the proposed work include developing a quantitative description of the macroscopic dynamics of a single cell in an external field, study the influence of membrane folding and internal structures of the cell on its macroscopic dynamics, and establish the relationship between optical measurements of the transmembrane potential and the macroscopic dynamics of a single cell. ***