Journal article
Coalescence of interacting cell populations
Matthew J Simpson, Kerry A Landman, Kaushik Bhaganagarapu
JOURNAL OF THEORETICAL BIOLOGY | ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD | Published : 2007
Abstract
We analyse the coalescence of invasive cell populations by studying both the temporal and steady behaviour of a system of coupled reaction-diffusion equations. This problem is relevant to recent experimental observations of the dynamics of opposingly directed invasion waves of cells. Two cell types, u and v, are considered with the cell motility governed by linear or nonlinear diffusion. The cells proliferate logistically so that the long-term total cell density, u+v approaches a carrying capacity. The steady-state solutions for u and v are denoted u(s) and v(s). The steady solutions are spatially invariant and satisfy u(s)+v(s)=1. However, this expression is underdetermined so the relative ..
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