Rinzel J
Fed Proc. 1985 Dec;44(15):2944-6.
Excitable nerve membranes and models for their electrical activity exhibit a broad repertoire of dynamic behavior. To reveal these behaviors the theoretician seeks a model that is simple enough to analyze yet one that retains adequate biophysical realism. Here we strike such a balance by describing a two-variable simplification of the Hodgkin-Huxley (HH) model, which exhibits many membrane phenomena and reproduces, with good agreement, many HH responses. Comparisons and illustrations are presented for the single spike response, repetitive firing (and its cessation by a brief current pulse), and bistable behavior for increased extracellular K+ concentrations.
可兴奋神经膜及其电活动模型展现出广泛的动态行为。为揭示这些行为，理论家寻求一种足够简单以便分析但又保留足够生物物理真实性的模型。在此，我们通过描述霍奇金 - 赫胥黎（HH）模型的双变量简化形式来实现这种平衡，该简化模型展现出许多膜现象，并且能很好地重现许多HH响应。文中给出了针对单峰响应、重复放电（以及通过短暂电流脉冲使其停止）以及细胞外钾离子浓度增加时的双稳态行为的比较和说明。
