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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Rejniak, Katarzyna A., Dillon, Robert H. (2007)
Computational & Mathematical Methods in Medicine
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C. Giverso, M. Scianna, L. Preziosi, N. Lo Buono, A. Funaro (2010)
Mathematical Modelling of Natural Phenomena
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In vitro transmesothelial migration assays of ovarian cancer cells, isolated or aggregated in multicellular spheroids, are reproduced deducing suitable Cellular Potts Models (CPM). We show that the simulations are in good agreement with the experimental evidence and that the overall process is regulated by the activity of matrix metalloproteinases (MMPs) and by the interplay of the adhesive properties of the cells with the extracellular...
N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova, V. Volpert (2011)
Mathematical Modelling of Natural Phenomena
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A hybrid model of red blood cell production, where cells are considered as discrete objects while intra-cellular proteins and extra-cellular biochemical substances are described with continuous models, is proposed. Spatial organization and regulation of red blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is simulated in two dimensions, and the influence on the output of the model of some parameters involved...