Global existence for a haptotaxis model of cancer invasion with tissue remodeling

From MaRDI portal
Publication:611260

DOI10.1016/j.nonrwa.2010.06.027zbMath1205.35144OpenAlexW2044522591WikidataQ111492247 ScholiaQ111492247MaRDI QIDQ611260

Youshan Tao

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.027



Related Items

Global weak solutions in a three-dimensional two-species cancer invasion haptotaxis model without cell proliferation, ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES, Boundedness in a three-dimensional chemotaxis-haptotaxis model, Numerical analysis of a chemotaxis model for tumor invasion, Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion, Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions, Finite time blow-up in the higher dimensional parabolic-elliptic-ODE minimal chemotaxis-haptotaxis system, Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion, Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision, Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model, Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold, Global asymptotic stability in a chemotaxis-growth model for tumor invasion, Global classical solutions and convergence to a mathematical model for cancer cells invasion and metastatic spread, The triplex vaccine effects in mammary carcinoma: a nonlinear model in tune with SimTriplex, Global generalized solutions of a haptotaxis model describing cancer cells invasion and metastatic spread, A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant, Some further progress for boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion, Global existence of a diffusive predator-prey model with prey-stage structure and prey-taxis, Boundedness in a two-dimensional two-species cancer invasion haptotaxis model without cell proliferation, The vanishing viscosity limit on a model of Kareiva-Odell type in 2D, Periodic solutions of angiogenesis models with time lags, Mathematical modelling of cancer invasion: The multiple roles of TGF-β pathway on tumour proliferation and cell adhesion, Finite-time blow-up of solutions to a cancer invasion mathematical model with haptotaxis effects, Global boundedness in a three-dimensional chemotaxis-haptotaxis model, Singular structure formation in a degenerate haptotaxis model involving myopic diffusion, Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy, About a generalized model of lymphoma, Existence of solutions of cancer invasion parabolic system with integrable data, Global solvability and stabilization to a cancer invasion model with remodelling of ECM, Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant, Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling, Global solvability and optimal control to a haptotaxis cancer invasion model with two cancer cell species, Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model, Global existence for a degenerate haptotaxis model of cancer invasion, Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model, Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant, Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model, Global boundedness of classical solutions to a two species cancer invasion haptotaxis model with tissue remodeling, Blow-up phenomena of a cancer invasion model with nonlinear diffusion and haptotaxis term, Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms, Global classical solutions to an oncolytic viral therapy model with triply haptotactic terms, Solvability of solid tumor invasion model, Stabilization in a chemotaxis model for tumor invasion, Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy, Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion, Analysis of a chemotaxis system modeling ant foraging, Dampening effects on global boundedness and asymptotic behavior in an oncolytic virotherapy model, A multiscale view of nonlinear diffusion in biology: From cells to tissues, Asymptotic behavior of solutions to a tumor angiogenesis model with chemotaxis–haptotaxis, Global boundedness for a \(N\)-dimensional two species cancer invasion haptotaxis model with tissue remodeling, Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network, From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid, Global existence for a go-or-grow multiscale model for tumor invasion with therapy, A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source, Two positivity preserving flux limited, second-order numerical methods for a haptotaxis model, Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy, Large-data solutions in a three-dimensional chemotaxis-haptotaxis system with remodeling of non-diffusible attractant: the role of sub-linear production of diffusible signal, A New Result for Global Solvability of a Two Species Cancer Invasion Haptotaxis Model with Tissue Remodeling, Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues



Cites Work