中文版 | English
Title

A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues

Author
Corresponding AuthorZhao,Tiankai
Publication Years
2023-03-01
DOI
Source Title
ISSN
0307-904X
EISSN
1872-8480
Volume115Pages:203-220
Abstract
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.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
First ; Corresponding
Funding Project
Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20210623092005017];
WOS Research Area
Engineering ; Mathematics ; Mechanics
WOS Subject
Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS Accession No
WOS:000931752700004
Publisher
ESI Research Field
ENGINEERING
Scopus EID
2-s2.0-85141799219
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/411724
DepartmentDepartment of Mechanics and Aerospace Engineering
Affiliation
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 AffilicationDepartment of Mechanics and Aerospace Engineering
Corresponding Author AffilicationDepartment of Mechanics and Aerospace Engineering
First Author's First AffilicationDepartment of Mechanics and Aerospace Engineering
Recommended Citation
GB/T 7714
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.
APA
Zhao,Tiankai,&Yuan,Hongyan.(2023).A full contraction-reaction-diffusion model for pattern formation in geometrically confined microtissues.APPLIED MATHEMATICAL MODELLING,115,203-220.
MLA
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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