Heriot-Watt Mathematics Report Series
HWM07-40, 11 Oct 2007
A single-cell based model of cellular growth using the immersed boundary method.
R Dillon, KJ Painter and MR Owen
We present a single-cell based model for the growth and division of
eucaryotic cells. The fluid-elastic structure of the cells and
extracellular matrix are represented within the framework of the
immersed boundary method. This is coupled with equations representing
the diffusion and consumption of a nutrient. Numerical
simulations of the model in the context of solid tumor growth and ductal
carcinoma are presented.
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