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Threshold conditions for a diffusive model of a myelinated axon (1983)

Bell, J. ; Cosner, C.

Springer

Journal of mathematical biology 18 (1983), S. 39-52

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ISSN: 1432-1416

Keywords: Threshold ; Comparison theorem ; Myelinated axon ; Propagation

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract This paper develops and uses comparison principles to study the time evolution of solutions to problems of the form $$\begin{gathered} v_t = v_{xx} - gv,{\text{ for }}x \in \mathbb{R}\backslash \mathbb{Z}{\text{ (}}g{\text{ = constant),}} \hfill \\ v_t = f\left( v \right) + v_x \left( {n + ,t} \right) - v_x \left( {n - ,t} \right),{\text{ for }}x = n \in \mathbb{Z} \hfill \\ \end{gathered} $$ . Such a system models an infinite myelinated axon with discrete, excitable nodes spaced unit distant apart.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00275909

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