Hyperbolic wave features of an exact solution to a model for nerve pulse transmission (Q2718805)
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scientific article; zbMATH DE number 1597234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic wave features of an exact solution to a model for nerve pulse transmission |
scientific article; zbMATH DE number 1597234 |
Statements
9 May 2001
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reduction procedure
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nerve fibers
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action potentials
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nerve signal velocity
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Hyperbolic wave features of an exact solution to a model for nerve pulse transmission (English)
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Nerve pulse transmission through an excited fibre is investigated by means of an exact solution to a hyperbolic governing model which can also take into account cumulative nonlinear effects different from those due to the ion current mechanisms. It is shown that if the initial pulse is localized, the resulting signal propagates at finite velocity along the fibre perturbing the initial nonequilibrium state. The behaviour of signal velocity and the role played in the wave process by the characteristic speeds, provided by the hyperbolic governing model, are highlighted.
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