Stewart Donald A, Gowrishankar T R, Weaver James C
Harvard-MIT Division of Health Sciences and Technology, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Bioelectrochemistry. 2006 Sep;69(1):88-93. doi: 10.1016/j.bioelechem.2005.11.004. Epub 2006 Jan 27.
Conditions that stimulate action potentials in one or more nerves is of widespread interest. Axon and nerve models are usually based on two dimensional pre-specified lumped equivalents that assume where currents will flow. In contrast, here we illustrate creation of three dimensional (3D) system models with a transport lattice of interconnected local models for external and internal electrolyte and axon membrane. The transport lattice solves Laplace's equation in the extracellular medium and is coupled to the Hodgkin-Huxley model at local membrane sites. These space-filling models incorporate the geometric scale, which allows explicit representation of confined axons and external electrodes. The present results demonstrate feasibility of the basic approach. These models are spatially coarse and approximate, but can be straightforwardly improved. The transport lattice system models are modular and multiscale (spatial scales ranging from the membrane thickness of 5 nm to the axon segment length of 2 cm).
刺激一条或多条神经产生动作电位的情况受到广泛关注。轴突和神经模型通常基于二维预先指定的集总等效模型，这些模型假设电流的流动位置。相比之下，在此我们展示了使用相互连接的局部模型的传输晶格来创建三维（3D）系统模型，该模型用于外部和内部电解质以及轴突膜。传输晶格求解细胞外介质中的拉普拉斯方程，并在局部膜位点与霍奇金 - 赫胥黎模型耦合。这些空间填充模型纳入了几何尺度，这使得能够明确表示受限的轴突和外部电极。目前的结果证明了该基本方法的可行性。这些模型在空间上是粗略和近似的，但可以直接改进。传输晶格系统模型是模块化和多尺度的（空间尺度范围从5纳米的膜厚度到2厘米的轴突段长度）。
