Hello, I’m looking for a PDE tool for a biological model describing a population of cells that interact via a diffusive messenger molecule. Before learning to use fipy, I’d like to know if it is the right tool for my purposes.
I have a rectangular domain, intersected with circular regions (=cells). The interior of the cells is not part of the domain. In the intercellular region there is diffusion of the messenger molecule, while reactions take place on the circular boundaries (=cell membranes) that bind or degrade the molecules. The model requires a non-trivial Neumann boundary condition on those circular boundaries, with flux proportional to u/(k+u), where u is the concentration of messenger at the boundary. I was disappointed to find out that the matlab pdetoolbox cannot deal with parabolic problems with boundary conditions that depend non-linearly on the solution. Would this be possible in fipy? Thanks a lot for any kind of help! Fridolin _______________________________________________ fipy mailing list [email protected] http://www.ctcms.nist.gov/fipy [ NIST internal ONLY: https://email.nist.gov/mailman/listinfo/fipy ]
