Mathematical modelling of cancer cell invasion of tissue
From MaRDI portal
Publication:955496
DOI10.1016/j.mcm.2007.02.034zbMath1148.92021OpenAlexW2013945372WikidataQ111492271 ScholiaQ111492271MaRDI QIDQ955496
Alexander R. A. Anderson, Ignacio Ramis-Conde, Mark A. J. Chaplain
Publication date: 20 November 2008
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2007.02.034
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)
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Cites Work
- Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
- Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory
- Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
- A Mathematical Model of Trophoblast Invasion
- Mathematical Modelling of Tumour Invasion and Metastasis
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION
- Cancer Modelling and Simulation
- Modelling solid tumour growth using the theory of mixtures
- Multiscale Modeling and Mathematical Problems Related to Tumor Evolution and Medical Therapy
- A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM