Existence of Global Solutions to a Model of a Myelinated Nerve Axon
β Scribed by Cosner, Chris
- Book ID
- 118200855
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1987
- Tongue
- English
- Weight
- 787 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0518053
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π SIMILAR VOLUMES
A model of a myelinated nerve axon is developed on the basis of FitzHugh-Nagumo dynamics under the assumption that the nodes of Ranvier are of small but finite width. It is shown that a periodic excited state may not exist if the width of the nodes is too small and the leakage across the myelin shea
## Abstract The paper considers conditions sufficient for the existence of classical __C__ solutions to a new model of chondrogenesis during the vertebrate limb formation. We assume that the diffusion coefficient of the fibronectin is positive and that the function describing the interaction betwee
This paper develops and uses comparison principles to study the time evolution of solutions to problems of the form (formula; see text) Such a system models an infinite myelinated axon with discrete, excitable nodes spaced unit distant apart.