Particle Simulations of Growth: Application to TumorigenesisBergdorf M., Milde F., Koumoutsakos P., 2012. Particle Simulations of Growth: Application to Tumorigenesis. In: Jackson T.L., editor. Modeling Tumor Vasculature. Springer New York. pages 261-303.
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.