Biology – Quantitative Biology – Tissues and Organs
Scientific paper
2011-09-24
Biology
Quantitative Biology
Tissues and Organs
submited to CPAA
Scientific paper
In this paper we study pattern formation arising in a system of a single reaction-diffusion equation coupled with subsystem of ordinary differential equations, describing spatially-distributed growth of clonal populations of precancerous cells, whose proliferation is controled by growth factors diffusing in the extracellular medium and binding to the cell surface. We extend the results on the existence of nonhomogenous stationary solutions obtained in the previous work of one of the authors to a general Hill-type production function and full parameter set. Using spectral analysis and perturbation theory we derive conditions for the linearized stability of such spatial patterns.
Golovaty Yuriy
Marciniak-Czochra Anna
Ptashnyk Mariya
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