Fractional Noether theorem and fractional Lagrange equation of multi-scale mechano-electrophysiological coupling model of neuron membrane

• Published in: Chinese physics B Vol. 32; no. 7; pp. 74501 - 468
• Main Author: Wang, Peng
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.07.2023; School of Civil Engineering and Architecture,University of Jinan,Jinan 250022,China
• Subjects: fractional derivative; Hamilton’s principle; multiscale electromechanical coupling; neuron membrane; Noether theorem; fractional derivative; neuron membrane; Noether theorem; multiscale electromechanical cou-pling; Hamilton's principle
• ISSN: 1674-1056
• DOI: 10.1088/1674-1056/ac9cbe

Noether theorem is applied to a variable order fractional multiscale mechano-electrophysiological model of neuron membrane dynamics. The variable orders fractional Lagrange equation of a multiscale mechano-electrophysiological model of neuron membrane dynamics is given. The variable orders fractional Noether symmetry criterion and Noether conserved quantities are given. The forms of variable orders fractional Noether conserved quantities corresponding to Noether symmetry generators solutions of the model under different conditions are discussed in detail, and it is found that the expressions of variable orders fractional Noether conserved quantities are closely dependent on the external nonconservative forces and material parameters of the neuron.