Nonlinear Analysis-real World Applications | 2021
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms
Abstract
Abstract This work studies the global existence of weak solutions to a doubly haptotactic cross-diffusion system modeling oncolytic viral therapy. The model was proposed to illustrate the coupled dynamics of oncolytic virus (OV) particles, extracellular matrix (ECM), uninfected cancer cells and OV-infected cancer cells in the process of the oncolytic viral therapy. It is shown that the model has a global weak solution in a smooth bounded convex domain Ω ⊂ R n ( n ≤ 3 ) .