A density-dependent chemotaxis-haptotaxis system modeling cancer invasion
From MaRDI portal
Publication:968855
DOI10.1016/j.jmaa.2010.02.015zbMath1186.92026OpenAlexW2059435482WikidataQ111492333 ScholiaQ111492333MaRDI QIDQ968855
Publication date: 10 May 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.015
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17)
Related Items (13)
Mathematical modeling and numerical simulation of a multiscale cancer invasion of host tissue ⋮ A Glioblastoma PDE-ODE model including chemotaxis and vasculature ⋮ Cellular transport through nonlinear mechanical waves in fibrous and absorbing biological tissues ⋮ About a generalized model of lymphoma ⋮ Mathematical and numerical analysis of an acid-mediated cancer invasion model with nonlinear diffusion ⋮ GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A TUMOR ANGIOGENESIS MODEL WITH CHEMOTAXIS AND HAPTOTAXIS ⋮ A biophysical model of tumor invasion ⋮ Boundedness in a chemotaxis model with oxygen consumption by bacteria ⋮ Convergence and positivity of finite element methods for a haptotaxis model of tumoral invasion ⋮ Global existence of classical solutions to a chemotaxis-haptotaxis model ⋮ Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence ⋮ On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents ⋮ Global existence for a go-or-grow multiscale model for tumor invasion with therapy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis.
- Global attractor for a chemotaxis model with prevention of overcrowding
- Initiation of slime mold aggregation viewed as an instability
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Volume effects in the Keller--Segel model: energy estimates preventing blow-up
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- A user's guide to PDE models for chemotaxis
- A reaction-diffusion system modeling predator-prey with prey-taxis
- Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system
- Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source
- Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
- An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
- Geometric theory of semilinear parabolic equations
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue
- On the global existence of solutions to an aggregation model
- Boundedness vs. blow-up in a chemotaxis system
- Blow-up in a chemotaxis model without symmetry assumptions
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- Mathematical analysis and stability of a chemotaxis model with logistic term
- Finite-time blow-up in a quasilinear system of chemotaxis
- Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- Global solution for a chemotactic–haptotactic model of cancer invasion
- BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL
- A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
- Global Existence of Classical Solutions for a Haptotaxis Model
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- LPBounds of solutions of reaction-diffusion equations
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- A Chemotaxis System with Logistic Source
- MICRO AND MESO SCALES OF DESCRIPTION CORRESPONDING TO A MODEL OF TISSUE INVASION BY SOLID TUMOURS
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
This page was built for publication: A density-dependent chemotaxis-haptotaxis system modeling cancer invasion
