I am currently trying to model the movement of bacteria cells using diffusion reaction equations. I have had great success using the "Transport of diluted species" where only one diffusion term was nessesary, but we want to model the phenomena called Chemotaxi which can be modelled using two diffusion terms. The PDE for cell concentration has a standard diffusion term describing the spatial spreading of cells and an additional diffusion term describing the movement of cells towards a concentration of chemoattractant. The equation excluding growth terms and other is:
. My challenge is how to implement the second diffusion term which is based on the gradient of the concentration of the chemoattractant S. Is it possible to model it using the "Transport of diluted species" physics module, or do i have to move to equation based modelling?
Thanks in advance, Trygvi