Displaying similar documents to “Quantitative Analysis of Melanocyte Migration in vitro Based on Automated Cell Tracking under Phase Contrast Microscopy Considering the Combined Influence of Cell Division and Cell-Matrix Interactions”

Analysis of a Mathematical Model for the Molecular Mechanism of Fate Decision in Mammary Stem Cells

O. U. Kirnasovsky, Y. Kogan, Z. Agur (2008)

Mathematical Modelling of Natural Phenomena

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Recently, adult stem cells have become a focus of intensive biomedical research, but the complex regulation that allows a small population of stem cells to replenish depleted tissues is still unknown. It has been suggested that specific tissue structures delimit the spaces where stem cells undergo unlimited proliferation (). In contrast, mathematical analysis suggests that a feedback control of stem cells on their own proliferation and differentiation (denoted ) suffices for preserving...

Modeling Morphogenesis and : Towards Quantitative, Predictive, Cell-based Modeling

R. M. H. Merks, P. Koolwijk (2009)

Mathematical Modelling of Natural Phenomena

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Cell-based, mathematical models help make sense of morphogenesis— cells organizing into shape and pattern—by capturing cell behavior in simple, purely descriptive models. Cell-based models then predict the tissue-level patterns the cells produce collectively. The first step in a cell-based modeling approach is to isolate sub-processes, the patterning capabilities of one or a few cell types in cell cultures. Cell-based models can then identify the mechanisms responsible for patterning...