Nonlinear Three-dimensional Simulation of Solid Tumor Growth

@inproceedings{Xiangrong2007NonlinearTS,
  title={Nonlinear Three-dimensional Simulation of Solid Tumor Growth},
  author={Li Xiangrong and Vittorio Cristini and Qing Nie and John S. Lowengrub},
  year={2007}
}
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

Citations

Publications citing this paper.
Showing 1-10 of 32 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 49 references

Potential Theory

  • J. Wermer
  • New York: Springer-Verlag
  • 1980
Highly Influential
3 Excerpts

Models for the Growth of a Solid Tumor by diffusion

  • H. P. Greenspan
  • Stud. Appl. Math., 51
  • 1972
Highly Influential
5 Excerpts

A novel boundary-integral algorithm for viscous interaction of deformable drops

  • A. Z. Zinchenko, M. A. Rother, R. H. Davis
  • Phys. Fluids, 9
  • 2007
1 Excerpt

Similar Papers

Loading similar papers…