Exact solutions to a nerve pulse transmission model via a reduction procedure

DOI10.1080/00411459608220723zbMath0867.35016OpenAlexW2091753653MaRDI QIDQ3127498

Natale Manganaro

Publication date: 26 May 1997

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459608220723

zbMATH Keywords

FitzHugh-Nagumo modelnerve pulse propagationdifferential constraints

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Solutions to PDEs in closed form (35C05) Overdetermined systems of PDEs with variable coefficients (35N10)

Cites Work

• Unnamed Item
• Bäcklund transformations and their applications
• Nerve pulse transmission: Recovery variable and rate-type effects
• Riemann invariants-like solutions for a class of rate-type materials
• Some Mathematical Problems from Neurobiology
• A method for determining exact solutions to a class of nonlinear models based on introduction of differential constraints

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