Stochastic Analysis of Ionic Channels

9405440艾森伯格该奖项的主题是关于离子-通道和离子-离子相互作用的影响的理论研究，这些效应涉及通过生物通道的扩散离子运动。所考虑的模型涉及(I)离子和具有库仑相互作用的通道壁的约束偶极子(或带电振子)部分的联合扩散运动，(Ii)平均场，通道出入口处的离子间相互作用以及离子与孔内永久电荷的平均场相互作用，以及(Iii)与平均场和通道的约束偶极子(或带电振子)部分相互作用的孔中离子的运动。理论工作将集中在对这些条件下描述的随机运动进行建模、分析和仿真。该奖项由NSF的几个项目支持：应用数学、细胞生物学、生物物理学、计算神经科学和计算生物学。

9405440 Eisenberg The subject of this award is the theoretical study of the effects of ion-channel and ion-ion interactions involved in diffusive ionic motion through biological channels. The model under consideration involves (i) the joint diffusive motion of an ion and a constrained dipole (or charged oscillator) part of the channel wall with Coulombic interactions, (ii) the mean field, inter-ionic interactions at the entrance and exit to the channel and the mean field interactions of the ion with the permanent charge inside the pore, and (iii) the motion of an ion in the pore with interaction with the mean field and with a constrained dipole (or charged oscillator) part of the channel. The theoretical work will concentrate on modeling, analyzing, and simulating the random motion described in these conditions. This award is supported by several programs at NSF: Applied Mathematics, Cell Biology, Biophysics, Computational Neuroscience, and Computational Biology.