CRI: Modeling the Dynamics of Neurophysiological Processes

PI：Jenson IBN：9634409 数学和数值模型的发展起着至关重要的作用 在总结，解释和传播神经系统的形式和功能的神经科学数据。这些建模工作试图 描述神经生理过程的每一个层次的描述，从 单离子通道蛋白的构象变化，对电 单个神经元的树突和轴突的特性， 处理大规模神经网络。这些不同层次的描述的两个关键特征是这些过程是动态的 并且由于各种各样的反馈机制，水平内和水平之间的相互作用是非线性的。最近的数学和数值 分析这种非线性动力系统的方法提供了很大的 研究这些神经生理过程的模型的承诺- 不仅为组织和理解实验提供了新的方法， 神经科学中的数据，但最重要的是提出了看待复杂现象的新方法，并提出了新的实验。 为此，本提案的目的是发展和加强研究合作，将新的理论和数值方法结合起来， 非线性动力系统的工具，具有最先进的实验 神经生理过程的测量。 的拟议合作 结合了理论物理学家的才能和资源， 卫斯理大学的R. V.詹森教授， 由G.M.教授领导的一个杰出的神经科学家小组。谢泼德在 耶鲁大学

PI: Jenson IBN: 9634409 The development of mathematical and numerical models plays a vital role in summarizing, interpreting and disseminating neuroscience data for the form and function of the nervous system. These modeling efforts attempt to describe neurophysiological processes at every level of description from the conformational changes of single ion-channel proteins, to the electrical properties of the dendrites and axons of single neurons, to the data processing of large-scale neural networks. Two key features of these various levels of description are that these processes are dynamic and the interaction within and between levels is nonlinear due to a wide variety of feedback mechanisms. Recent mathematical and numerical methods for analyzing such nonlinear dynamical systems offers great promise for studying the models for these neurophysiological processes- not only to provide new ways to organize and understand experimental data in the neurosciences but most importantly to suggest new ways of looking at complex phenomena and to suggest new experiments. To this end the purpose of this proposal is to develop and strengthen a research collaboration that integrates the new theoretical and numerical tools of nonlinear dynamical systems with state of the art experimental measurments of neurophysiological processes. The proposed collaboration combines the talents and resources of a theoretical physicist with specific expertise in nonlinear dynamics, Prof. R.V. Jensen at Wesleyan University, with an outstanding group of neuroscientists headed by Prof. G.M. Shepherd at Yale University.