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April 10, 2026Nonlinear DynamicsOpen Access

Revisiting the modeling of cell electrophysiology using a delay-based equation

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Authors

NMNoemi Zeraick MonteiroRSRodrigo Weber dos Santos

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Overview

The study proposes a delay differential equation modeling action potentials, suggesting improved neuronal dynamics representation.

Key Points

  • This research aims to develop a mathematical model using a delay differential equation to describe neuron action potentials.
  • Developed a simple mathematical model using a single delay differential equation.
  • Analyzed sodium and potassium channel conductances within the model.
  • Derived analytical approximations for excitability recovery and spike frequency relations.
  • Connected the model to various memory kernel representations.
  • Successfully reproduced standard Hodgkin-Huxley action potential behavior.
  • Captured essential electrophysiological features like subthreshold and suprathreshold responses.
  • Derived explicit relationships for excitability recovery and spike frequency amplification.

Cite This Study

Monteiro et al. (2026) studied this question.

synapsesocial.com/papers/69d896406c1944d70ce07835https://doi.org/10.1007/s11071-026-12392-0
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