tumor_pde

tumor_pde, a MATLAB code which solves the tumor angiogenesis partial differential equations (PDE) using MATLAB's pdepe() function.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Reference:

• Mark Chaplain, Andrew Stuart,
  A model mechanism for the chemotactic response of endothelial cells to tumor angiogenesis factor,
  IMA Journal of Mathematics Applied to Medicine & Biology,
  Volume 10, Number 3, pages 149-168, September 1993.
• Willem Hundsdorfer, Jan Verwer,
  Numerical solution of time-dependent advection-diffusion-reaction equations,
  Springer, 2003,
  ISBN: 978-3-662-09017-6
• Chiara Villa,
  Mathematical modelling of tumour-induced angiogensis,
  University of St Andrews, 2018.

Source Code:

• tumor_pde.m solves the tumor angiogenesis partial differential equations (PDE) using MATLAB's pdepe() function.

Test:

• tumor_pde_test.m calls all the tests.
• tumor_pde_test.sh runs all the tests.
• tumor_pde_test.txt the output file.

Plots:

• taf.png, plots of the TAF concentration at times 0.0, 0.1, 0.3, 0.5, 0.7.
• density.png, plots of the endothelial cell density at times 0.0, 0.1, 0.3, 0.5, 0.7.