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