A mathematical model for cellular locomotion exhibiting chemotaxis.
Holmes, M.J., Sleeman, B.D. (2001)
Journal of Theoretical Medicine
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Holmes, M.J., Sleeman, B.D. (2001)
Journal of Theoretical Medicine
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Bellomo, Nicola, De Angelis, Elena, Preziosi, Luigi (2003)
Journal of Theoretical Medicine
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Ambrosi, D., Bussolino, F., Preziosi, L. (2005)
Journal of Theoretical Medicine
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Rejniak, Katarzyna A., Dillon, Robert H. (2007)
Computational & Mathematical Methods in Medicine
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Jackson, Trachette L., Senter, Peter D., Murray, James D. (2000)
Journal of Theoretical Medicine
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Alarcón, Tomás, Owen, Markus R., Byrne, Helen M., Maini, Philip K. (2006)
Computational & Mathematical Methods in Medicine
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Tait, Catherine R., Jones, Pamela F. (2003)
Journal of Theoretical Medicine
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Herrero, Miguel A., López, José M. (2005)
Journal of Theoretical Medicine
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R. J. Hawkins, R. Voituriez (2010)
Mathematical Modelling of Natural Phenomena
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We present a simple mechanism of cell motility in a confined geometry, inspired by recent motility assays in microfabricated channels. This mechanism relies mainly on the coupling of actin polymerisation at the cell membrane to geometric confinement. We first show analytically using a minimal model of polymerising viscoelastic gel confined in a narrow channel that spontaneous motion occurs due to polymerisation alone. Interestingly, this ...
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...