Mathematics
Precalculus
The Fitzhugh-Nagumo model for the electrical impulse in a neuron

The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation effects, the electrical

Question:

The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation effects, the electrical potential in a neuron v(t) obeys the differential equation dv -v[v? – (1 + a)v + a] dt

where a is a positive constant such that 0 < a < 1.
(a) For what values of v is v unchanging (that is, dv/dt = 0)?
(b) For what values of v is v increasing?
(c) For what values of v is v decreasing?

Transcribed Image Text:

dv -v[v? – (1 + a)v + a] dt

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a dv dt v v 2 1 a v a v v a v 1 so dv dt …View the full answer

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Vivek Singh

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