A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues
The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Mechanical cues, such as the cellular stresses and strains, have been found to dictate the pattern formation in human stem cell differentiation. As a result, the traditional reaction-diffusion models are modified by adding mechanically related terms to consider the role played by the mechanical cues during the very early stage of embryogenesis. However, these models either do not consider the activeness of the cellular tissues or neglect their poroelastic nature that biological tissues are made by both cells and interstitial fluid. Here we propose a modified reaction-diffusion model that couples with the active contraction of cellular tissues. The cellular tissue is modelled as a piece of biphasic poroelastic material, where mechanical forces naturally regulate the transport of chemical cues. Such chemical cues direct cell fate and hence yield certain types of pattern formations observed in previous experiments.
First ; Corresponding
Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20210623092005017];
|WOS Research Area|
Engineering ; Mathematics ; Mechanics
Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
|WOS Accession No|
|ESI Research Field|
Cited Times [WOS]:0
|Document Type||Journal Article|
|Department||Department of Mechanics and Aerospace Engineering|
Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China
|First Author Affilication||Department of Mechanics and Aerospace Engineering|
|Corresponding Author Affilication||Department of Mechanics and Aerospace Engineering|
|First Author's First Affilication||Department of Mechanics and Aerospace Engineering|
Zhao，Tiankai,Yuan，Hongyan. A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues[J]. APPLIED MATHEMATICAL MODELLING,2023,115:203-220.
Zhao，Tiankai,&Yuan，Hongyan.(2023).A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues.APPLIED MATHEMATICAL MODELLING,115,203-220.
Zhao，Tiankai,et al."A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues".APPLIED MATHEMATICAL MODELLING 115(2023):203-220.
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