4.1 Excitation–activation dynamics

Given the neural excitation,

, shown below, derive an expression for and plot the muscle activation, , as a function of time. Label any critical points in your graph. Assume that the time constant for activation is 0.12 seconds and the time constant for deactivation is 0.24 seconds.

Feel free to use either the excitation–activation dynamics ODE from your textbook or the ODE shown below to do your calculations.

Excitation–activation dynamics ODE:

where