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The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin–Huxley Equations Take Their Form

The Hodgkin–Huxley equations have successfully described neuronal excitability for over seventy years, yet their mathematical structure remains empirically justified rather than theoretically explained. Why are gating variables bounded between 0 and 1? Why does sodium conductance depend on <i>m</i><...

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Principais autores: Robert F. Melendy, Daniel H. Blue
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2026-03-01
Serier:Membranes
Fag:
Hodgkin–Huxley
Lie algebra
symmetry principles
membrane dynamics
ion-channel gating
mathematical neuroscience
Online adgang:https://www.mdpi.com/2077-0375/16/3/99
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