The derivative function of the Morris-Lecar model, an example of a two-dimensional autonomous ODE system.
morrisLecar(t, y, parameters)Returns a list containing the values of the two
derivatives at
(t, x, y).
The value of t, the independent
variable, to evaluate the derivative at. Should be a
numeric vector of
length one.
The values of x and
y, the dependent variables, to evaluate
the derivative at. Should be a numeric
vector of length two.
The values of the parameters of the system. Should be a
numeric vector with parameters
specified in the following order:
gCa,
φ.
Michael J Grayling
morrisLecar evaluates the derivative of the following ODE at the point
(t, x, y):
dx/dt = 0.05(90 - 0.5gCa(1 + tanh(x + 1.2)/18))(x - 120) - 8y(x + 84) - 2(x + 60), dy/dt = φ(0.5(1 + tanh((x - 2)/30)) - y)cosh((x - 2)/60).
Its format is designed to be compatible with ode from
the deSolve package.
ode