THEORY OF NERVE PULSE TRANSFER BASED ON NON-LINEAR DIFFUSION OF K

基于K非线性扩散的神经脉冲传递理论

• 批准号: 8168031
• 负责人: LEO UDOD
• 金额: $ 2.06万
• 依托单位: UNIVERSITY OF SOUTH DAKOTA
• 依托单位国家: 美国
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-05-01 至 2011-04-30
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/8168031
• 关键词: Accounting; Axon; Computer Retrieval of Information on Scientific Projects Database; Dependency; Development; Diffusion; Equation; Funding; Grant; Institution; Ions; Membrane; Membrane Potentials; Mole the mammal; Nerve; Physiologic pulse; Play; Process; Research; Research Personnel; Resistance; Resources; Role; Sodium; Source; Time; United States National Institutes of Health; base; millisecond; theories; voltage

This subproject is one of many research subprojects utilizing the resources provided by a Center grant funded by NIH/NCRR. The subproject and investigator (PI) may have received primary funding from another NIH source, and thus could be represented in other CRISP entries. The institution listed is for the Center, which is not necessarily the institution for the investigator. Specific Aim 1: To solve a nonlinear differential equation with the changing boundary condition due to the dependency Rd = f(c), where c is a concentration of K+ ions near the outer membrane boundary, and Rd = dUw/dl is the differential resistance of the membrane at the point of the v.c.c. with voltage U and current I. As the result, we will obtain the development of the non-stability in time and space. Integrating the equation will make it possible to obtain the quantity of ions K+ that arrive at the axon due to one pulse. Experimental results: ~3.6xlO"12 Mole/cm2/pulse. The determination of the non-stability in time (eq.16, [11]) will give the entire time of the growing part of the pulse. Experimental results: approximately 0.5 msec. Specific Aim 2: To describe the process of the nerve pulse transfer in a more complete way taking into account the sodium component of the membrane current. This component, as it is known, plays a very important role in the dynamics of the change in the membrane potential. Specific Aim 3: Further refinement of the theory.

该子项目是利用该技术的众多研究子项目之一 资源由 NIH/NCRR 资助的中心拨款提供。子项目及 研究者 (PI) 可能已从 NIH 的另一个来源获得主要资金， 因此可以在其他 CRISP 条目中表示。列出的机构是 对于中心来说，它不一定是研究者的机构。 具体目标 1：求解边界条件因相关性而变化的非线性微分方程 Rd = f(c)，其中 c 是外膜边界附近 K+ 离子的浓度，Rd = dUw/dl 是微分 膜在 v.c.c. 点的电阻电压U和电流I。结果，我们将得到 时间和空间上的不稳定性的发展。对方程进行积分就可以获得数量 由于一个脉冲而到达轴突的离子 K+ 的数量。实验结果：~3.6x10"12 Mole/cm2/pulse。测定 时间上的非稳定性（方程 16，[11]）将给出脉冲增长部分的整个时间。实验结果： 大约 0.5 毫秒。 具体目标 2：考虑到神经脉冲传输的过程，以更完整的方式描述 膜电流的钠成分。众所周知，该组件在 膜电位变化的动力学。 具体目标 3：进一步完善理论。