Document Type
Article
Publication Date
10-1-2021
Abstract
In this work, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, and the effect of vascular flow and nutrient transport. The model is of phase-field or diffused-interface type in which multiple phases of cell species and other constituents are separated by smooth evolving interfaces. The model involves a mesoscale version of Darcy's law to capture the flow mechanism in the tissue matrix. Modeling flow and transport processes in the vasculature supplying the healthy and cancerous tissue, one-dimensional (1D) equations are considered. Since the models governing the transport and flow processes are defined together with cell species models on a three-dimensional (3D) domain, we obtain a 3D–1D coupled model.
Publication Source (Journal or Book title)
Nonlinear Analysis: Real World Applications
Recommended Citation
Fritz, M., Jha, P., Köppl, T., Oden, J., & Wohlmuth, B. (2021). Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network. Nonlinear Analysis: Real World Applications, 61 https://doi.org/10.1016/j.nonrwa.2021.103331