ArticleJournal of mathematical biology2021
Reaction-diffusion models for morphological patterning of hESCs.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Synchronizing degradation with regeneration: a model-driven framework for designing biodegradable biomaterials in bone tissue engineering.Journal of materials science. Materials in medicine · 2026Review
- Modeling Post-Implantation Mammalian Embryogenesis Using AdvancedInternational journal of molecular sciences · 2026Review
- Human stem cell-based embryo models: from self-organization to recapitulating development.Frontiers in cell and developmental biology · 2026Review
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Authors and funding
4 authors.
Funding
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Abstract
In this paper we consider mathematical modeling of the dynamics of self-organized patterning of spatially confined human embryonic stem cells (hESCs) treated with BMP4 (gastruloids) described in recent experimental works (Warmflash in Nat Methods 11:847-854, 2014; Chhabra in PloS Biol 17: 3000498, 2019). In the first part of the paper we use the activator-inhibitor equations of Gierer and Meinhardt to identify 3 reaction-diffusion regimes for each of the three morphogenic proteins, BMP4, Wnt and Nodal, based on the characteristic features of the dynamic patterning. We identify appropriate boundary conditions which correspond to the experimental setup and perform numerical simulations of the reaction-diffusion (RD) systems, using the finite element approximation, to confirm that the RD systems in these regimes produce realistic dynamics of the protein concentrations. In the second part of the paper we use analytic tools to address the questions of the existence and stability of non-homogeneous steady states for the reaction-diffusion systems of the type considered in the first part of the paper.
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Registered trials
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