Angiogenesis3D1D
Mixed-dimensional simulation of tumor growth and angiogenesis in coupled three-dimensional tissue and one-dimensional vascular domains.
A mixed-dimensional model of vascular tumor growth: a three-dimensional tissue domain coupled to a one-dimensional vascular network, so that nutrient transport through vessels and diffusion through tissue are solved together rather than approximated by a source term.
Written in C++ with libMesh and PETSc, it accompanies the angiogenesis papers with Marvin Fritz, Barbara Wohlmuth and collaborators. Its reusable numerical contribution is the coupling of heterogeneous PDEs posed on one- and three-dimensional domains.
Not publicly released. This code was written for the three papers above and has not been packaged for outside use; there is no repository to link. The model it implements is described in full in those papers.
Publications
- Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth, Modeling and Simulation of Vascular Tumors Embedded in Evolving Capillary Networks, Computer Methods in Applied Mechanics and Engineering, 2021.
- David A. Hormuth II, Caleb M. Phillips, Chengyue Wu, Ernesto A. B. F. Lima, Guillermo Lorenzo, Prashant K. Jha, Angela M. Jarrett, J. Tinsley Oden, Thomas E. Yankeelov, Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data, Cancers, 2021.
- Marvin Fritz, Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Barbara Wohlmuth, Analysis of a New Multispecies Tumor Growth Model Coupling 3D Phase-Fields With a 1D Vascular Network, Nonlinear Analysis: Real World Applications, 2021.