A single-cell-based model of multicellular growth using the immersed boundary method | Zendy

Robert Dillon | Zendy; Markus R. Owen | Zendy; Kevin J. Painter | Zendy

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A single-cell-based model of multicellular growth using the immersed boundary method

Author(s) -

Robert Dillon,

Markus R. Owen,

Kevin J. Painter

Publication year - 2008

Publication title -

contemporary mathematics - american mathematical society

Language(s) - English

Resource type - Reports

eISSN - 1098-3627

pISSN - 0271-4132

DOI - 10.1090/conm/466/09113

Subject(s) - mathematics , immersed boundary method , multicellular organism , boundary (topology) , mathematical analysis , cell , biology , genetics

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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