Since 1963
ARTICLE
Euler-Lagrange equations and Noether’s theorem of multi-scale mechano-electrophysiological coupling model of neuron membrane dynamics
1
School of Civil Engineering and Architecture, University of Jinan, Jinan, Shangdong, P.R. China
Submission date: 2022-08-24
Final revision date: 2022-11-30
Acceptance date: 2023-09-04
Online publication date: 2023-10-29
Publication date: 2023-10-30
Corresponding author
Journal of Theoretical and Applied Mechanics 2023;61(4):847-856
KEYWORDS
TOPICS
ABSTRACT
Noether’s theorem is applied into a multi-scale mechno-electrophysiological coupling model
of neuron membrane dynamics. The Euler-Lagrange equations in generalized coordinates of
this model are deduced by the nonconservative Hamilton principle. The Noether symmetry
criterion and conserved quantities based on the Lie point transformation group are given. The
influence of external non-potential forces and material parameters on the forms of Noether
conserved quantities is detailed discussed, which indicates that the conserved quantities are
very depending on the loading rate and mechanical parameters of the membrane.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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