..., a quantitative understanding of how this circuit drives cortical dynamics in polarization and cytokinesis is still lacking. Here, we construct a mathematical model to test whether a minimal set of well-characterized, essential elements are necessary and sufficient to explain the spatiotemporal dynamics of AIR-1...

... of vernalization have recently been elaborated on through the use of mathematical modelling. This has revealed the importance of chromatin dynamics for the switching mechanism and has shown that the quantitative nature of the process is due to cell-autonomous switching of an increasing proportion of cells...

... pg/ml TNFα ( supplementary material Fig. S4 ). Initially, we investigated whether existing mathematical models could capture the single-cell behaviour observed at low TNFα doses. Cheong and co-workers ( Cheong et al., 2006 ) used ordinary differential equations based on the law of mass action...

... cell oscillations chemotaxis digital image processing mathematical modelling rotating oscillatory waves synergetics video microscopy Cell locomotion attracts especial attention with regard to several major, indispensable features of eukaryotic exis-tence, including the cell accumulation...