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Keywords: Mathematical modeling
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Journal Articles
Journal: Development
Development dev.193508.
Published: 15 April 2021
... 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 hours post fertilization. We validated our mathematical models against experimental...
Journal Articles
Journal: Development
Development (2021) 148 (1): dev195669.
Published: 06 January 2021
... perspective 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...
Journal Articles
Journal: Development
Development (2018) 145 (11): dev161257.
Published: 11 June 2018
... posteriorly moving wavefront, which is combined with axis elongation (which increases PSM size) and somite formation (which decreases PSM size) ( Fig. 4 A,B). We constructed a simple mathematical model to formalize these interactions ( supplementary Materials and Methods ) and found that this model can...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2018) 145 (1): dev154807.
Published: 10 January 2018
... new spatial coordination of cell signaling states. Mathematical modeling Notch signaling Lateral induction Lateral inhibition Author contributions Conceptualization: J.C.L.-E., P.F.-J., M.I.; Methodology: J.C.L.-E., P.F.-J., M.I.; Software: J.C.L.-E., P.F.-J.; Validation: J.C.L.-E...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2017) 144 (23): 4450–4461.
Published: 01 December 2017
... the concentration of Dl/Cact, creating a potentially unlimited sink, even at the edges of the active Toll domain ( O'Connell and Reeves, 2015 ; Kanodia et al., 2009 ; Ambrosi et al., 2014 ). Therefore, we extended our simplified mathematical model ( Fig. 2 A) to account for the possibility that...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2015) 142 (11): 2014–2025.
Published: 01 June 2015
... Mathematical modeling Molecular profiling Neural crest Numerical simulation Single cell Chicken Summary: Single cell mRNA profiling 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...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2014) 141 (11): 2313–2324.
Published: 01 June 2014
... 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...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2013) 140 (24): 4830–4843.
Published: 15 December 2013
... 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 on...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2012) 139 (16): 2935–2944.
Published: 15 August 2012
... Mathematical modeling Numerical simulation Prevailing models of long-distance cell migration involve multicellular streams that are sculpted by dynamic cell-cell contacts and local inhibitory signals ( Abercrombie, 1979 ; Teddy and Kulesa, 2004 ; Young et al., 2004 ; Druckenbrod and Epstein...
Includes: Multimedia, Supplementary data
Journal Articles
Journal: Development
Development (2012) 139 (13): 2321–2329.
Published: 01 July 2012
... 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...
Includes: Multimedia, Supplementary data
Journal Articles
Journal: Development
Development (2010) 137 (14): 2265–2278.
Published: 15 July 2010
... 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...
Includes: Supplementary data
Journal Articles
Journal: Development
Development (2002) 129 (11): 2577–2589.
Published: 01 June 2002
... correspondence (e-mail: stas@princeton.edu ) 11 3 2002 © 2002. 2002 Drosophila EGFR Mathematical modeling Autocrine loops Mechanisms of intercellular signaling are crucial in development ( Freeman, 2000 ; Wolpert et al., 1998 ). By regulating cell differentiation, migration...