Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach.

@article{Chen2014TumorGI,
  title={Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach.},
  author={Ying Chen and John S. Lowengrub},
  journal={Journal of theoretical biology},
  year={2014},
  volume={361},
  pages={14-30}
}
We develop a mathematical model of tumor growth in complex, dynamic microenvironments with active, deformable membranes. Using a diffuse domain approach, the complex domain is captured implicitly using an auxiliary function and the governing equations are appropriately modified, extended and solved in a larger, regular domain. The diffuse domain method enables us to develop an efficient numerical implementation that does not depend on the space dimension or the microenvironmental geometry. We… CONTINUE READING
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