A thermodynamical viewpoint on nerve pulse dynamics
type: Item
instance of: scholarly article
title: A thermodynamical viewpoint on nerve pulse dynamics
zbMATH Open document ID: 0806.92002
published in: Journal of Non-Equilibrium Thermodynamics
publication date: 1994-08-14T00:00:00Z
review text: Models of nerve pulse dynamics (like the Hodgkin-Huxley and Fitz-Hugh- Nagumo models) are linked to the formalism of non-equilibrium thermodynamics of continuous media. This is done through identification of Voltage with elastic displacement, and of (empirical) recovery variables with internal variables. It is shown that among thermodynamically admissible models one can find not only dissipative examples but also solitonic ones.
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 82C21
zbMATH DE Number: 617225
zbMATH Keywords: solitonic models
zbMATH Keywords: nerve pulse dynamics
zbMATH Keywords: non-equilibrium thermodynamics
zbMATH Keywords: continuous media
zbMATH Keywords: elastic displacement
zbMATH Keywords: thermodynamically admissible models
zbMATH Keywords: dissipative examples
author: Gérard A. Maugin
author: Jüri Engelbrecht
reviewed by: Michael Baake
MaRDI profile type: Publication
full work available at URL: jnet.1994.19.1.9
OpenAlex ID: W2009110168
cites work: On theory of pulse transmission in a nerve fibre
cites work: The evolution of nonlinear waves in active media
cites work: High frequency, periodic disturbances in dissipative systems - I. Small amplitude, finite rate theory
cites work: Evidence of Soliton-Like Behavior of Solitary Waves in a Nonlinear Reaction-Diffusion System
cites work: Internal variables and the thermodynamics of macromolecule solutions
DOI: 10.1515/JNET.1994.19.1.9
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description: scientific article; zbMATH DE number 617225