Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns
type: Item
instance of: scholarly article
title: Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns
zbMATH Open document ID: 1303.92043
author: Pia Domschke
author: Dumitru Trucu
author: Alf Gerisch
author: M. A. J. Chaplain
published in: Journal of Theoretical Biology
publication date: 2015-01-13T00:00:00Z
full work available at URL: http://hdl.handle.net/10023/7712
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C42
zbMATH DE Number: 6385993
zbMATH Keywords: solid tumour spread
zbMATH Keywords: non-local model
zbMATH Keywords: heterogeneity
describes a project that uses: ROWMAP
MaRDI profile type: Publication
Wikidata QID: Q51064110
OpenAlex ID: W2032168148
cites work: Intracellular modelling of cell-matrix adhesion during cancer cell invasion
cites work: Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation
cites work: A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
cites work: Mathematical Modelling of Tumour Invasion and Metastasis
cites work: A continuum approach to modelling cell-cell adhesion
cites work: Modelling the role of cell-cell adhesion in the growth and development of carcinomas
cites work: Free boundary value problems associated with the growth and development of multicellular spheroids
cites work: An analysis of a mathematical model of trophoblast invasion
cites work: Modelling solid tumour growth using the theory of mixtures
cites work: MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
cites work: MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
cites work: Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
cites work: On the approximation and efficient evaluation of integral terms in PDE models of cell adhesion
cites work: Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
cites work: Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems
cites work: Q4562178
cites work: Global existence for a parabolic chemotaxis model with prevention of overcrowding
cites work: Multiscale modelling and nonlinear simulation of vascular tumour growth
cites work: Q4885014
cites work: The impact of adhesion on cellular invasion processes in cancer and development
cites work: A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion
cites work: A Multiscale Moving Boundary Model Arising in Cancer Invasion
cites work: ROWMAP -- a ROW-code with Krylov techniques for large stiff ODEs
DOI: 10.1016/J.JTBI.2014.07.010
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description: scientific article; zbMATH DE number 6385993