Dampening effects on global boundedness in a quartic haptotactic model with fusogenic oncolytic virus and syncytia
type: Item
instance of: scholarly article
title: Dampening effects on global boundedness in a quartic haptotactic model with fusogenic oncolytic virus and syncytia
zbMATH Open document ID: 1502.35186
author: Qian Zhao
author: Bin Liu
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2022-11-11T00:00:00Z
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35A09
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7615112
zbMATH Keywords: haptotaxis
zbMATH Keywords: global boundedness
zbMATH Keywords: syncytia cancer cells
zbMATH Keywords: oncolytic virotherapy model
MaRDI profile type: Publication
full work available at URL: s00033-022-01882-x
OpenAlex ID: W4307647819
cites work: Multiscale modelling of cancer response to oncolytic viral therapy
cites work: Multiscale moving boundary modelling of cancer interactions with a fusogenic oncolytic virus: the impact of syncytia dynamics
cites work: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
cites work: The Debye system: existence and large time behavior of solutions
cites work: Dampening effect of logistic source in a two-dimensional haptotaxis system with nonlinear zero-order interaction
cites work: Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy
cites work: Enhancement of chemotherapy using oncolytic virotherapy: mathematical and optimal control analysis
cites work: Global classical solvability in a three‐dimensional haptotaxis system modeling oncolytic virotherapy
cites work: Analysis of a two-dimensional triply haptotactic model with a fusogenic oncolytic virus and syncytia
cites work: Global classical solutions to an oncolytic viral therapy model with triply haptotactic terms
cites work: Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms
cites work: Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
cites work: A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
cites work: Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
cites work: A critical virus production rate for efficiency of oncolytic virotherapy
cites work: Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
cites work: Dampening effects on global boundedness and asymptotic behavior in an oncolytic virotherapy model
cites work: Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity
cites work: Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
cites work: Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
cites work: Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
DOI: 10.1007/S00033-022-01882-X
description: scientific article; zbMATH DE number 7615112