Nonlinear Three-dimensional Simulation of Solid Tumor Growth

  title={Nonlinear Three-dimensional Simulation of Solid Tumor Growth},
  author={Li Xiangrong and Vittorio Cristini and Qing Nie and John S. Lowengrub},
We present a new, adaptive boundary integral method to simulate solid tumor growth in 3-d. We use a reformulation of a classical model that accounts for cell-proliferation, apoptosis, cell-to-cell and cell-to matrix adhesion. The 3-d method relies on accurate discretizations of singular surface integrals, a spatial rescaling and the use of an adaptive surface mesh. The discretized boundary integral equations are solved iteratively using GMRES and a discretized version of the Dirichlet-Neumann… CONTINUE READING