Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy

• Published in: Journal of Differential Equations Vol. 268; no. 9; pp. 4973 - 4997
• Main Authors: Tao, Youshan, Winkler, Michael
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.04.2020
• Subjects: [formula omitted] estimates; Global smooth solutions; Haptotaxis; Quasi-Lyapunov functional; Haptotaxis; 35A01; 92C17; 35K57; Quasi-Lyapunov functional; Global smooth solutions; Llog⁡L estimates; 35Q92

This work studies a haptotaxis system proposed as a model for oncolytic virotherapy, accounting for interaction between uninfected cancer cells, infected cancer cells, extracellular matrix (ECM) and oncolytic virus. In addition to random movement, both uninfected and infected tumor cells migrate hap...