3 papers
physics.bio-ph2026
The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin-Huxley Equations Take Their Form
Robert F. Melendy, Daniel H. Blue
The Hodgkin-Huxley equations have described neuronal excitability for seventy years, yet their mathematical structure-gating exponents m3h and n4, exponential voltage dependencies,…
physics.bio-ph2021
Bang-Bang Control Development of Permeability Changes in a Membrane Model
Robert F. Melendy
The application of systems and control theory to membrane physiology is presented here. Modeling efforts have focused on describing those physiologically realistic mechanisms which…
physics.bio-ph2018
A Single Differential Equation Description of Membrane Properties Underlying the Action Potential and the Axon Electric Field
Robert F. Melendy, Ph. D
In a succession of articles published over 65 years ago, Sir Alan Lloyd Hodgkin and Sir Andrew Fielding Huxley established what now forms our physical understanding of excitation i…