Mechanistic Model to Replace Hodgkin-Huxley Equations

2015/05/13 by Bo Deng, Deng, Bo
Biochemistry, Genetics and Molecular Biology · Engineering · Neuroscience · Physics and Astronomy · #Advanced Memory and Neural Computing #FOS: Biological sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #q-bio.NC #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1505.03242

23 pages, 10 figures

arxiv created 2015/05/13 · openalex publication_date 2015/05/13 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct a mathematical model for excitable membranes by introducing circuit characteristics for ion pump, ion current activation, and voltage-gating. The model is capable of reestablishing the Nernst resting potentials, all-or-nothing action potentials, absolute refraction, anode break excitation, and spike bursts. We propose to replace the Hodgkin-Huxley model by our model as the basis template for neurons and excitable membranes.

Citations

• A quantitative description of membrane current and its application to conduction and excitation in nerve
• Impulses and Physiological States in Theoretical Models of Nerve Membrane

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