Thursday, May 7, 2009

Cell invasion (3) : Effect of cell proliferation

Our biologists tell me that there might be some cell division be going on during the invasion process. I included a corresponding proliferation term to the master equation.

P_z^{(t+1)}=\;\ldots\; +\alpha P_z^{(t)}.

In the figures below, dashed lines correspond the case with zero growth rate, solid lines to a growth rate of alpha=0.01.

----------------------------------------------------


Symmetric case






----------------------------------------------------

Drift to the right (chemo-attractant)





----------------------------------------------------

Drift to the left (chemo-repellant)





----------------------------------------------------

Generally, the effects on the z-profiles are more of a quantitative nature. Drastic differences result for the surface cell density versus time.

No comments:

Post a Comment