... a mathematical model and experimental data to address features controlling neural stem cell (NSC) dynamics. We show that available experimental data fit a model in which quiescent NSCs may either become activated to divide or may undergo depletion events, such as astrocytic transformation and apoptosis...

... formation, whereas inhibiting Bmp signaling leads to merged clusters. These dynamic changes in cluster pattern are faithfully simulated by a mathematical model of a Turing field in which an inhibitor of Bmp signaling acts as the Turing activator. In vivo , genetic interruption of Bmp signal reception...

... : Computational modelling deciphers the connections between the cell-cycle machinery and Notch signalling which govern whether neural stem cells proliferate, differentiate or enter quiescence. Cell fate decision Cell cycle control Delta-Notch signaling Mathematical model Neural stem cell Regulatory...

... that, in absence of Gata6, all ICM cells adopt an Epi identity. Furthermore, the analysis of Gata6 +/− embryos reveals a dose-sensitive phenotype, with fewer PrE-specified cells. These results and previous findings have enabled the development of a mathematical model for the dynamics of the regulatory network...

... Competing interests statement The authors declare no competing financial interests. 21 9 2012 © 2013. Published by The Company of Biologists Ltd Ocellus hedgehog Patterning Mathematical model Retinal determination genes Gene network Drosophila engrailed...

... and α4 integrin expression. Based on the observed cell proliferation, chemotaxis and the timing of BMP2 and BMP7 expression, we propose a mathematical model, a reaction-diffusion system, which not only simulates feather patterning, but which also can account for the negative effects of excess BMP2...

... mathematical model morphogenesis cell motility notochord Morphogenesis of embryonic tissues is driven by a variety of mechanisms including cell rearrangement and shape change. In many instances, directed cell movements cause tissues to extend and narrow, so called ‘convergence and extension...