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个模型，在该模型中，细胞被视为一个单元，其宏观动力学由适用于整个细胞的一组方程支配。前人在这一领域的结果是缓慢的，因为对完全可激发细胞对外场的响应是由具有非线性和动力学条件的膜上的边值问题控制的。这项研究将通过建立整个细胞的模型来克服先前的困难。这项工作的目标包括建立单个细胞在外场中宏观动力学的定量描述，研究细胞的膜折叠和内部结构对其宏观动力学的影响，以及建立跨膜电位的光学测量与单个细胞宏观动力学之间的关系。***

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. ***