A single cell-based model of the ductal tumour microarchitecture.
Rejniak, Katarzyna A., Dillon, Robert H. (2007)
Computational & Mathematical Methods in Medicine
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Rejniak, Katarzyna A., Dillon, Robert H. (2007)
Computational & Mathematical Methods in Medicine
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Holmes, M.J., Sleeman, B.D. (2001)
Journal of Theoretical Medicine
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V. Andasari, M.A.J. Chaplain (2012)
Mathematical Modelling of Natural Phenomena
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When invading the tissue, malignant tumour cells (i.e. cancer cells) need to detach from neighbouring cells, degrade the basement membrane, and migrate through the extracellular matrix. These processes require loss of cell-cell adhesion and enhancement of cell-matrix adhesion. In this paper we present a mathematical model of an intracellular pathway for the interactions between a cancer cell and the extracellular matrix. Cancer cells use ...
Daphne Manoussaki (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Vasculogenesis and angiogenesis are two different mechanisms for blood vessel formation. Angiogenesis occurs when new vessels sprout from pre-existing vasculature in response to external chemical stimuli. Vasculogenesis occurs via the reorganization of randomly distributed cells into a blood vessel network. Experimental models of vasculogenesis have suggested that the cells exert traction forces onto the extracellular matrix and that these forces may play an important role in the network...
Schubert, Walter (2002)
Journal of Theoretical Medicine
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Kolobov, A.V., Polezhaev, A.A., Solyanik, G.I. (2000)
Journal of Theoretical Medicine
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Bellomo, Nicola, De Angelis, Elena, Preziosi, Luigi (2003)
Journal of Theoretical Medicine
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Gaffney, Eamonn A., Maini, Philip K., Sherratt, Jonathan A., Dale, Paul D. (1997)
Journal of Theoretical Medicine
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Anderson, A.R.A., Chaplain, M.A.J., Newman, E.L., Steele, R.J.C., Thompson, A.M. (2000)
Journal of Theoretical Medicine
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