... for tissue renewal, aging and cancer. Lineage tracing Stem cells Skin Transit-amplifying progenitor Mathematical modeling Mouse National Institute of Arthritis and Musculoskeletal and Skin Diseases http://dx.doi.org/10.13039/100000069 R01AR070157 R01AR073806 RO1AR081021...

... mathematical modeling, and parameter optimization enabled the development of a computational model of the mechanochemical feedback regulating planarian shape. Crucially, by combining a descriptive and mechanistic model, we generated an intuitive continuous definition of model error grounded in experimental...

...) 46 , 353 - 388 . 10.1111/j.2517-6161.1984.tb01308.x Duff , C. , Smith-Miles , K. , Lopes , L. and Tian , T. ( 2012 ). Mathematical modelling of stem cell differentiation: the pu. 1–gata-1 interaction . J. Math. Biol. 64 , 449 - 468 . 10.1007/s00285-011-0419-3...

... 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...

... about the study of epithelial organization during development, discussing how and why simplified, but realistic, computational models are required to address key morphogenetic events. Three-dimensional cell packing Cell shape Scutoid Apico-basal cell intercalation Mathematical modeling...

... 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...

... coordination of cell signaling states. Mathematical modeling Notch signaling Lateral induction Lateral inhibition Ministerio de Economía, Industria y Competitividad (MINECO, Spain) 10.13039/501100003329 FIS2015-66503-C3-3-P FIS2012-37655-C02-02 Fondo Europeo de Desarrollo...

..., 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...

.... Cell migration Mathematical modeling Molecular profiling Neural crest Numerical simulation Single cell Chicken In examples that range from primitive streak formation to mechanosensory organogenesis, several embryonic cell populations undergo persistent, directed migration in coordinated...

... 11 4 2014 © 2014. Published by The Company of Biologists Ltd 2014 Sensory development Hair cells Atoh1 Mathematical modeling Systems biology Signal competition Notch signaling plays a dual role during the sensory development of the inner ear, where it is required during...

... 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...

... to this work Competing interests statement The authors declare no competing financial interests. 25 5 2012 © 2012. Neural crest Cranial cell migration Chick Laser capture microdissection qPCR Mathematical modeling Numerical simulation Prevailing models...

... 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...

... in the MAPK signaling profile). Based on this, we rule out the mechanisms without the positive feedback. *Author for correspondence (e-mail: [email protected] ) 11 3 2002 © 2002. 2002 Drosophila EGFR Mathematical modeling Autocrine loops Mechanisms of intercellular...