2020
DOI: 10.1002/wsbm.1485
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Multiscale modeling of vertebrate limb development

Abstract: We review the current state of mathematical modeling of cartilage pattern formation in vertebrate limbs. We place emphasis on several reaction–diffusion type models that have been proposed in the last few years. These models are grounded in more detailed knowledge of the relevant regulatory processes than previous ones but generally refer to different molecular aspects of these processes. Considering these models in light of comparative phylogenomics permits framing of hypotheses on the evolutionary order of a… Show more

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Cited by 11 publications
(5 citation statements)
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References 143 publications
(236 reference statements)
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“…Up to 70% of Thorius individuals show left–right asymmetry in the arrangement of carpal or tarsal elements in the limbs and/or anterior elements in the skull, and similar variation exists among individuals ( Hanken 1982 ; Hanken 1984 ). This degree of variability demonstrates that the outcome of precartilage condensation is subject to stochastic noise in the cellular processes involved in cell aggregation (i.e., cell movement, cell–cell adhesion, cell-extracellular matrix interaction) ( Chatterjee et al 2020 ; Glimm et al 2020 ).…”
Section: Discussionmentioning
confidence: 99%
“…Up to 70% of Thorius individuals show left–right asymmetry in the arrangement of carpal or tarsal elements in the limbs and/or anterior elements in the skull, and similar variation exists among individuals ( Hanken 1982 ; Hanken 1984 ). This degree of variability demonstrates that the outcome of precartilage condensation is subject to stochastic noise in the cellular processes involved in cell aggregation (i.e., cell movement, cell–cell adhesion, cell-extracellular matrix interaction) ( Chatterjee et al 2020 ; Glimm et al 2020 ).…”
Section: Discussionmentioning
confidence: 99%
“…This degree of variability demonstrates that the outcome of precartilage condensation is subject to stochastic noise in the cellular processes involved in cell aggregation (i.e. cell movement, cell-cell adhesion, cell-extracellular matrix interaction) (Chatterjee, et al 2020; Glimm, et al 2020).…”
Section: Discussionmentioning
confidence: 99%
“…Cell division in these models is represented as a volume increase of the fluid [103]. A major benefit of these continuum models is that they can be easily combined with existing models of morphogen diffusion [5,104]. The reaction-diffusion equations can be solved with the mesh representing the mesenchyme.…”
Section: Box 1: Computational Models Of Tissue and Cell Mechanics In ...mentioning
confidence: 99%