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

Zhao，Tiankai; Yuan，Hongyan

2023-03-01

10.1016/j.apm.2022.10.043

APPLIED MATHEMATICAL MODELLING   影响因子和分区

0307-904X

1872-8480

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.

Active contraction Biophysics Biphasic material Embryogenesis Poroelasticity Reaction-diffusion

SCI ; EI

英语

第一 ; 通讯

Science, Technology and Innovation Commission of Shenzhen Municipality[ZDSYS20210623092005017];

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000931752700004

ELSEVIER SCIENCE INC

20224613116854

Cytology ; Diffusion in liquids ; Elasticity ; Histology ; Stem cells ; Structural design

Structural Design, General:408.1 ; Biological Materials and Tissue Engineering:461.2 ; Biology:461.9

ENGINEERING

2-s2.0-85141799219

Scopus

Shenzhen Key Laboratory of Soft Mechanics & Smart Manufacturing,Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

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.