Numerical solutions for a model of tissue invasion and migration of tumour cells.
Kolev, M., Zubik-Kowal, B. (2011)
Computational & Mathematical Methods in Medicine
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Kolev, M., Zubik-Kowal, B. (2011)
Computational & Mathematical Methods in Medicine
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Holmes, M.J., Sleeman, B.D. (2001)
Journal of Theoretical Medicine
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R.A. Tyson, D.B.A. Epstein, K.I. Anderson, T. Bretschneider (2010)
Mathematical Modelling of Natural Phenomena
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Cell motility is an integral part of a diverse set of biological processes. The quest for mathematical models of cell motility has prompted the development of automated approaches for gathering quantitative data on cell morphology, and the distribution of molecular players involved in cell motility. Here we review recent approaches for quantifying cell motility, including automated cell segmentation and tracking. Secondly, we present our own ...
Rejniak, Katarzyna A., Dillon, Robert H. (2007)
Computational & Mathematical Methods in Medicine
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A. Bertuzzi, A. Fasano, A. Gandolfi, C. Sinisgalli (2010)
Mathematical Modelling of Natural Phenomena
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Mathematical models of tumour spheroids, proposed since the early seventies, have been generally formulated in terms of a single diffusive nutrient which is critical for cell replication and cell viability. Only recently, attempts have been made to incorporate in the models the cell energy metabolism, by considering the interplay between glucose, oxygen and lactate (or pH). By assuming glucose and lactate as the only fuel substrates, we propose a simple model for the cell ATP production...