Modeling the morphodynamic galectin patterning network of the developing avian limb skeleton

DOI10.1016/j.jtbi.2013.12.004zbMath1412.92017OpenAlexW2014915771WikidataQ45184439 ScholiaQ45184439MaRDI QIDQ2632595

Stuart A. Newman, R. B. Bhat, Tilmann Glimm

Publication date: 15 May 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2013.12.004

zbMATH Keywords

pattern formationpartial integro-differential equationslimb developmentchondrogenesisnonlocal reaction-diffusion model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Developmental biology, pattern formation (92C15)

Related Items (5)

A two-galectin network establishes mesenchymal condensation phenotype in limb development ⋮ Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion ⋮ Biological modeling with nonlocal advection–diffusion equations ⋮ Stability of linear multistep time iterations with the WENO5 discretization at discontinuities ⋮ Mathematical modeling of chondrogenic pattern formation during limb development: recent advances in continuous models

Cites Work

• Existence of solutions to a new model of biological pattern formation
• The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb
• A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
• Mixed-mode pattern in \textit{Doublefoot} mutant mouse limb -- Turing reaction-diffusion model on a growing domain during limb development
• A continuum approach to modelling cell-cell adhesion
• Mathematical modeling of vertebrate limb development
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