A mathematical study of effects of narrow gap width in myelinated nerve axons

DOI10.1007/BF03167684zbMath0743.92012OpenAlexW2044050783MaRDI QIDQ1175663

Tsutomu Ikeda, Toshitaka Nagai

Publication date: 25 June 1992

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167684

zbMATH Keywords

stabilitystationary solutionsstanding wavesthreshold valuenodes of Ranvierblocking of propagationinfinite axonmyelinated membranemyelineated nerve axonsnode gap widthpropagation of excited states

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Unnamed Item
• Threshold conditions for a diffusive model of a myelinated axon
• Nerve impulse propagation in a branching nerve system: a simple model
• A model of a myelinated nerve axon: threshold behaviour and propagation
• Some threshold results for models of myelinated nerves
• Nagumo's equation
• Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons
• Propagation of excited state and its failure in a simple model of myelinated nerve axons
• Threshold Conditions for Two Diffusion Models Suggested By Nerve Impulse Conduction
• Existence of Global Solutions to a Model of a Myelinated Nerve Axon
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Numerical studies of the laminar boundary layer for Mach numbers up to 15

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