Chapter

Modeling Tumor Vasculature

pp 261-303

Date:

Particle Simulations of Growth: Application to Tumorigenesis

  • Michael BergdorfAffiliated withChair of Computational Science, ETH Zurich
  • , Florian MildeAffiliated withChair of Computational Science, ETH Zurich
  • , Petros KoumoutsakosAffiliated withChair of Computational Science, ETH Zurich Email author 

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Abstract

We present a particle-based framework for simulations of growth as described by continuum laws. We outline methodological developments such as the use of implicit representations of surfaces and the solution of reaction – diffusion equations on volumes and surfaces. We validate the framework on benchmark problems and apply it to simulations of tumor growth and study the effects of boundary conditions on tumor morphology.