Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy

Jing Li; Yifu Wang

doi:10.1016/j.jde.2020.07.032

Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy

Jing Li, Yifu Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Minzu University of China

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

This paper is concerned with a haptotactic cross-diffusion system as the model for oncolytic virotherapy, which describes the influence of the extracellular matrix (ECM) taxis over the tumor-oncolytic virus interaction in the form of haptotaxis of both cancer cells and oncolytic virus toward higher ECM densities. The main results assert the global boundedness of solutions to an associated spatially two-dimensional initial-boundary value problems under suitably assumptions on the system parameters.

Original language	English
Pages (from-to)	94-113
Number of pages	20
Journal	Journal of Differential Equations
Volume	270
DOIs	https://doi.org/10.1016/j.jde.2020.07.032
Publication status	Published - 5 Jan 2021

Keywords

Boundedness
Haptotaxis
LlogL estimates
Oncolytic virotherapy

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.jde.2020.07.032

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title = "Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy",

abstract = "This paper is concerned with a haptotactic cross-diffusion system as the model for oncolytic virotherapy, which describes the influence of the extracellular matrix (ECM) taxis over the tumor-oncolytic virus interaction in the form of haptotaxis of both cancer cells and oncolytic virus toward higher ECM densities. The main results assert the global boundedness of solutions to an associated spatially two-dimensional initial-boundary value problems under suitably assumptions on the system parameters.",

keywords = "Boundedness, Haptotaxis, LlogL estimates, Oncolytic virotherapy",

author = "Jing Li and Yifu Wang",

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year = "2021",

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AU - Wang, Yifu

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N2 - This paper is concerned with a haptotactic cross-diffusion system as the model for oncolytic virotherapy, which describes the influence of the extracellular matrix (ECM) taxis over the tumor-oncolytic virus interaction in the form of haptotaxis of both cancer cells and oncolytic virus toward higher ECM densities. The main results assert the global boundedness of solutions to an associated spatially two-dimensional initial-boundary value problems under suitably assumptions on the system parameters.

AB - This paper is concerned with a haptotactic cross-diffusion system as the model for oncolytic virotherapy, which describes the influence of the extracellular matrix (ECM) taxis over the tumor-oncolytic virus interaction in the form of haptotaxis of both cancer cells and oncolytic virus toward higher ECM densities. The main results assert the global boundedness of solutions to an associated spatially two-dimensional initial-boundary value problems under suitably assumptions on the system parameters.

KW - Boundedness

KW - Haptotaxis

KW - LlogL estimates

KW - Oncolytic virotherapy

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EP - 113

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy

Abstract

Keywords

UN SDGs

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