... to be a crucial and under-appreciated determinant of cell-fate decision-making during hematopoiesis. Cell fate Hematopoiesis Mathematical modeling Gene regulatory network Bistability University of Southern California http://dx.doi.org/10.13039/100006034 National Science Foundation...

... in fish length and yolk utilization is logistic, that is the yolk decays rapidly for a period of time before leveling out. An interesting finding from this study is that yolk utilization reaches its maximum at 84 h post-fertilization. We validated our mathematical models against experimental observations...

... Scutoid Apico-basal cell intercalation Mathematical modeling Biophysical modeling The invention of the microscope led to the discovery of the fundamental unit of life: the cell. Yet, the collective organization of cells in tissues is far from obvious under the microscope and requires...

... in the presomitic mesoderm plays a central role in progression and size control of somitogenesis. Scaling Somite PSM Segmentation clock Fgf gradient Quantitative imaging Mathematical modeling Zebrafish Scaling – matching organ size to body size – is a fundamental property of developing...

... that ligands with different efficiencies can cooperate to drive new spatial coordination of cell signaling states. Mathematical modeling Notch signaling Lateral induction Lateral inhibition The Notch signaling pathway, which is conserved across metazoans, is responsible for coordinating cell...

..., a transcription factor that patterns the Drosophila dorsal-ventral axis, accumulates at the embryo ventral midline. Here, model-guided experiments show that the inhibitor Cactus shuttles Dorsal to the ventral side. Morphogen Tissue patterning Mathematical modeling Dorsal Cactus Shuttling...

... defines a group of leading cells in migratory neural crest. Key factors expressed in these cells regulate the behaviour of the migrating neural crest population. Cell migration Mathematical modeling Molecular profiling Neural crest Numerical simulation Single cell Chicken In examples...

... J. R. , Monk N. A. M. , Maini P. K. , Lewis J. H. ( 1996 ). Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling . J. Theor. Biol. 183 , 429 - 446 . 10.1006/jtbi.1996.0233 Daudet N. , Lewis J...

... expression that are set up during development to the size of the system. Identifying the mechanisms that regulate scaling of patterns at the tissue, organ and organism level during development is a longstanding challenge in biology, but recent molecular-level data and mathematical modeling have shed light...

... and trailing cells rather than a homogeneous population. ( A ) Mathematical model schematic. ( B ) Model simulation of NC cell migration. ( C ) Model simulation of NC cell migration [two subpopulations; leaders (yellow) that respond to microenvironmental signals and trailers (red)]. Trailers that respond...

... of this tissue, a region lacking Notch1, lFng , and differentiation-related gene expression. We investigated the role of this Dll1 expression through mathematical modeling. Our analysis predicts that the absence of Dll1 ahead of the neurogenic wavefront results in reduced robustness of the lateral inhibition...

... in the developing eye of Drosophila melanogaster and the experimental results that have revealed the topology of the underlying signaling circuitries. We then propose that switch-like network motifs based on positive feedback play a central role in cell-fate choice, and discuss how mathematical modeling can be used...

... supports the mechanism in which the ranges of Argos and Spitz are controlled by the rates of their internalization. *Author for correspondence (e-mail: stas@princeton.edu ) 11 3 2002 © 2002. 2002 Drosophila EGFR Mathematical modeling Autocrine loops Mechanisms...