steps

Forward and Backward solvers

steps.step1(D, a, K, im0, im, T, dt)

Solver for the forward KPP problem.

Parameters:

• D float: diffusion coefficient.

• a float: growth coefficient.

• K float: capacity coefficient.

• im0 numpy array: image of the initial inoculum.

• im numpy array: image of the leaf.

• T number: final time.

• dt float: time step.

Return:

The solution of the forward KPP equation.

steps.step2(D, a, K, v, vobs, im, T, dt)

Solver for the backward KPP problem.

Parameters:

• D float: diffusion coefficient.

• a float: growth coefficient.

• K float: capacity coefficient.

• v numpy array: solution of the forward problem.

• vobs numpy array: observed images of the lesion.

• im numpy array: image of the leaf.

• T number: final time.

• dt float: time step.

Return:

The solution of the forward KPP equation.