Mathematical modelling of weakly nonlinear pulses in a retinal neuron

G. C. Taylor, J. A. Coles, J. C. Eilbeck

Research output: Contribution to journalArticle

Abstract

In the nervous system, most processing of information and its transmission over short distances occurs in dendrites and short axons whose membranes are weakly nonlinear. We discuss the behaviour of a particular cell, the photoreceptor cell of the honey-bee drone, for which the normal physiological input is well defined. In this cell, weakly nonlinear membrane properties (resulting from the presence of voltage-gated sodium channels) amplify and speed up small voltage pulses in a way that should be more useful to the animal than would be conversion into strongly nonlinear action potentials. Three different computational methods are compared for solving the partial differential equations that model this system. © 1995.

Original languageEnglish
Pages (from-to)407-413
Number of pages7
JournalChaos, Solitons and Fractals
Volume5
Issue number3-4
Publication statusPublished - Mar 1995

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neurons
pulses
cells
bees
membranes
nervous system
axons
photoreceptors
electric potential
data transmission
dendrites
partial differential equations
animals

Cite this

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Mathematical modelling of weakly nonlinear pulses in a retinal neuron. / Taylor, G. C.; Coles, J. A.; Eilbeck, J. C.

In: Chaos, Solitons and Fractals, Vol. 5, No. 3-4, 03.1995, p. 407-413.

Research output: Contribution to journalArticle

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