Biophysical models of early mammalian embryogenesis

Cockerell, Alaina; Wright, Liam; Dattani, Anish; Guo, Ge; Smith, Austin; Tsaneva‐Atanasova, Krasimira; Richards, David P.

doi:10.1016/j.stemcr.2022.11.021

Cited by 4 publications

(2 citation statements)

References 155 publications

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“…Nevertheless, few details of the mechanism are revealed, since the size and inaccessibility of the embryo [Shahbazi et al, 2019]. Therefore, studies on cell differentiation often use theoretical approaches [Herrera-Delgado et al, 2021;Cockerell et al, 2023;Geard et al, 2009] by introducing a model to examine new insights. Among computational models, the previous model proposed by Caluwé et al focuses on the Hippo signaling pathway and conducts modeling [Caluwé et al, 2019].…”

Section: Introductionmentioning

confidence: 99%

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An Assumption of The Regulatory Function of Nf2-Amot Complex in Early Mammalian Embryos with A Computational Model

Sakai,

Hakura

2024

Preprint

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The paper assumed that Nf2-Amot complex regulates the phosphorylation cascade so that each cell in the early mammalian embryo differentiates properly in silico. To confirm the validity of the assumption, it was necessary to verify whether Nf2-Amot complex has an impact on the resulting differentiation. The living embryo is unsuitable for the confirmation since the early mammalian embryo is too small to observe and too ethically sensitive to invade. In such cases, computational models can be used as experimental subjects for operations that cannot be applied to the living embryo. Previous models on the embryo, however, could not verify the assumption because they had not modeled Nf2-Amot complex, and they seldom modeled the Hippo signaling pathway. Therefore, the paper introduced a model of Nf2-Amot complex to the previous study that had modeled the Hippo signaling pathway. Testing the model under diverse conditions revealed that the existence of Nf2-Amot complex reproduces the ideal cell differentiation observed in the living embryo. In this sense, the validity of the model was confirmed. Furthermore, diverse cell-cell contacts that induce various concentrations of Nf2-Amot complex also resulted in ideal cell differentiation. These results suggested the correctness of the assumption in silico.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Assumption of The Regulatory Function of Nf2-Amot Complex in Early Mammalian Embryos with A Computational Model

Sakai,

Hakura

2024

Preprint

View full text Add to dashboard Cite

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Mathematical modeling of evolution of cell networks in epithelial tissues

Krasnyakov

2024

Quant. Biol.

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Epithelial cell networks imply a packing geometry characterized by various cell shapes and distributions in terms of number of cell neighbors and areas. Despite such simple characteristics describing cell sheets, the formation of bubble‐like cells during the morphogenesis of epithelial tissues remains poorly understood. This study proposes a topological mathematical model of morphogenesis in a squamous epithelial. We introduce a new potential that takes into account not only the elasticity of cell perimeter and area but also the elasticity of their internal angles. Additionally, we incorporate an integral equation for chemical signaling, allowing us to consider chemo‐mechanical cell interactions. In addition to the listed factors, the model takes into account essential processes in real epithelial, such as cell proliferation and intercalation. The presented mathematical model has yielded novel insights into the packing of epithelial sheets. It has been found that there are two main states: one consists of cells of the same size, and the other consists of “bubble” cells. An example is provided of the possibility of accounting for chemo‐mechanical interactions in a multicellular environment. The introduction of a parameter determining the flexibility of cell shapes enables the modeling of more complex cell behaviors, such as considering change of cell phenotype. The developed mathematical model of morphogenesis of squamous epithelium allows progress in understanding the processes of formation of cell networks. The results obtained from mathematical modeling are of significant importance for understanding the mechanisms of morphogenesis and development of epithelial tissues. Additionally, the obtained results can be applied in developing methods to influence morphogenetic processes in medical applications.

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