Propagation of excited state and its failure in a simple model of myelinated nerve axons
DOI10.1007/BF03167886zbMath0699.92006OpenAlexW2089383708MaRDI QIDQ3478288
Tsutomu Ikeda, Makoto Nakamura, Toshitaka Nagai
Publication date: 1989
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167886
reaction-diffusion equationsnervestable steady statesimpulse propagationmyelinated nerve axonExistence and uniqueness resultsconduction speednodes ofRanvierreduced FitzHugh-Nagumo dynamics
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Partial differential equations of mathematical physics and other areas of application (35Q99) Physiological, cellular and medical topics (92Cxx)
Related Items (1)
Cites Work
- 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
- Traveling periodic waves in heterogeneous environments
- Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory
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- Some threshold results for models of myelinated nerves
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated 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
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