NULL SPACE IN THE HODGKIN-HUXLEY EQUATIONS - CRITICAL TEST
NULL SPACE IN THE HODGKIN-HUXLEY EQUATIONS - CRITICAL TEST
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DOI：
10.1016/s0006-3495(79)85204-2
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发表时间：
1979-01-01
影响因子：
3.4
通讯作者：
BEST, EN
中科院分区：
文献类型：
--
作者：
BEST, EN
基于拓扑概念的电压扰动方法被用来从Hodgkin-Huxley（HH）非线性微分方程中引出响应。这些反应提出了一个关键的检查后，HH模型的有效性鱿鱼轴突膜的电活动。当施加恒定电流使得存在稳定平衡和节律性放电时，以下预测是HH方程系统中固有的：在沿着其放电尖峰的点处给出的轴突的小的瞬时电压扰动导致相位重置曲线（当绘制新相位对旧相位时），平均斜率为1;更大的电压扰动（从沿着放电尖峰的某些点）的放电导致周期性放电的永久停止，膜电压迅速接近平衡值;更大的扰动产生平均斜率等于0的相位复位曲线。这些预测，再加上Tasaki的实验证明，鱿鱼轴突在良好的条件下，在恒定电流下重复发射，提供了一个关键的测试HH模型的有效性。
Voltage perturbation methods based upon topological concepts are used to elicit responses from the Hodgkin-Huxley (HH) nonlinear differential equations. These responses present a critical check upon the validity of the HH model for electrical activity across squid axon membrane. When a constant current is applied such that a stable equilibrium and rhythmic firing are present, the following predictions are inherent in the HH systems of equations: small instantaneous voltage perturbations to the axon given at points along its firing spike result in phase resetting curves (when new phase vs. old phase is plotted) with an average slope of 1; a larger voltage perturbation (from certain points along the firing spike) results in the permanent cessation of periodic firing, with membrane voltage rapidly approaching the equilibrium value; a still larger perturbation yields phase resetting curves with an average slope equal to 0. These predictions, coupled with Tasaki''s experimental demonstration that squid axons in excellent condition do give repetitive firing under constant current, provide a critical test of the validity of the HH model.