点电源刺激下电缆方程的求解与仿真研究  

The Solving and Simulation of Cable Equation under the Stimulation of Point Electrical Source

作　　者：姜常珍[1] 王鹤[1] 王江[1] 张立[1] 

机构地区：[1]天津大学电气工程与自动化学院,天津300072

出　　处：《生物医学工程学杂志》2005年第1期43-46,共4页Journal of Biomedical Engineering

基　　金：国家自然科学基金资助项目 (5 0 1770 2 3 )

摘　　要：当无髓神经纤维细胞跨膜电位距离静息电位的偏移值足够小时 ,其细胞膜特性可以用无源 RC网络来进行模拟 ,从而可以建立阈下线性状态外加刺激时的连续型电缆方程。迄今为止 ,国内外学者普遍采用时域分析法 ,而本文提出利用积分变换方法求出点电源刺激下电缆方程的解析解 ,并用计算机对无髓神经纤维细胞跨膜电位进行了模拟仿真 ,分析了动作电位产生的可能性。The character of the membrane of fiber can be simulated by nonpower RC network on condition that the offset of distance between the transmembrane potential of unmyelinated nerve fiber and the resting potential of nerve fiber ceil is small enough. Thus, it is possible to found the successive cable equation with external stimulation under subthreshold linear state. So far, most scholars use time-domain analysis method. In this paper are reported the method of integral transform and the analytical expression of cable equation under the stimulation of point electrical source firstly. And at the same time, computer-aided simulation of transmembrane potential of nerve fiber and analysis of the possibility of activating action potential are presented.

关 键 词：点电源刺激 电缆方程 无髓神经纤维细胞 跨膜电位 动作电位 

分 类 号：O411.1[理学—理论物理]