A mathematical model for cellular locomotion exhibiting chemotaxis.
Holmes, M.J., Sleeman, B.D. (2001)
Journal of Theoretical Medicine
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Displaying similar documents to “Rheological properties of living materials. From cells to tissues.”
A mathematical model for cellular locomotion exhibiting chemotaxis.
Multiscale modeling and mathematical problems related to tumor evolution and medical therapy.
Bellomo, Nicola, De Angelis, Elena, Preziosi, Luigi (2003)
Journal of Theoretical Medicine
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A review of vasculogenesis models.
Ambrosi, D., Bussolino, F., Preziosi, L. (2005)
Journal of Theoretical Medicine
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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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Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates.
Jackson, Trachette L., Senter, Peter D., Murray, James D. (2000)
Journal of Theoretical Medicine
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Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy.
Alarcón, Tomás, Owen, Markus R., Byrne, Helen M., Maini, Philip K. (2006)
Computational & Mathematical Methods in Medicine
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Lymphangiogenesis.
Tait, Catherine R., Jones, Pamela F. (2003)
Journal of Theoretical Medicine
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Bone formation: biological aspects and modelling problems.
Herrero, Miguel A., López, José M. (2005)
Journal of Theoretical Medicine
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Mechanisms of Cell Motion in Confined Geometries
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 ...