This work studies a triply haptotactic cross-diffusion system modeling oncolytic viral therapy, with interactions among uninfected cancer cells, extracellular matrix (ECM), infected cancer cells and oncolytic viruses (OV). In the recent paper (Tao and Winkler in J. Differ. Equ. 268:4973–4997, 2020), the authors asserted the global classical solvability in an oncolytic viral therapy model proposed by Alzahrani et al. (Math. Biosci. 310:76–95, 2019) with doubly haptotactic cross-diffusion terms in two-dimensional domain. In this continuous work, we take the ECM-OV taxis behavior into consideration and upgrade the model in Tao and Winkler (J. Differ. Equ. 268:4973–4997, 2020) to a triply haptotactic cross-diffusion system (also proposed in Alzahrani et al. in Math. Biosci. 310:76–95, 2019). It is rigorously proved that for all suitably regular initial data, an associated Neumann-type initial-boundary value problem for the spatially one-dimensional version of this model is globally solvable in the classical sense.

这项工作研究了模拟溶瘤病毒疗法的三触觉交叉扩散系统，该系统具有未感染的癌细胞，细胞外基质（ECM），感染的癌细胞和溶瘤病毒（OV）之间的相互作用。在最近的论文中（Tao和Winkler在J. Differ。Equ。268：4973-4997，2020中），作者断言Alzahrani等人提出的溶瘤病毒治疗模型具有全球经典可溶性。（Math。Biosci。310：76–95，2019）在二维域中具有双触觉交叉扩散术语。在这项持续的工作中，我们考虑了ECM-OV滑行行为，并将Tao和Winkler（J. Differ。Equ。268：4973-4997，2020）中的模型升级为三重触觉交叉扩散系统（在Alzahrani et al。in Math。Biosci。310：76–95，2019）。