A contraction-reaction-diffusion model for circular pattern formation in embryogenesis

Zhao, Tiankai1; Sun, Yubing2; Zhu, Qionghua3; Li, Xin1; Baghaee, Mehdi1; Wang, Yuenan4; Yuan, Hongyan1

2021-12-01

10.1016/j.jmps.2021.104630

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS   影响因子和分区

0022-5096

1873-4782

Reaction-diffusion models have been widely used to elucidate pattern formation in developmental biology. More recently, they have also been applied in modeling cell fate patterning that mimics early-stage human development events utilizing geometrically confined pluripotent stem cells. However, the traditional reaction-diffusion equations could not satisfactorily explain the concentric ring distributions of various cell types, as they do not yield circular patterns even for circular domains. In previous mathematical models that yield ring patterns, certain conditions that lack biophysical understandings had been considered in the reaction-diffusion models. Here we hypothesize that the circular patterns are the results of the coupling of the mechanobiological factors with the traditional reaction-diffusion model. We propose two types of coupling scenarios: tissue tension-dependent diffusion flux and traction stress-dependent activation of signaling molecules. By coupling reaction-diffusion equations with the elasticity equations, we demonstrate computationally that the contraction-reaction-diffusion model can naturally yield the circular patterns.

Mechanobiology Biomechanics Embryogenesis Reaction-diffusion Contraction

SCI ; EI

英语

第一 ; 通讯

Materials Science ; Mechanics ; Physics

Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter

WOS:000702766000003

PERGAMON-ELSEVIER SCIENCE LTD

20213710882807

Animal cell culture ; Biomechanics ; Linear equations ; Partial differential equations ; Stem cells

Biological Materials and Tissue Engineering:461.2 ; Biomechanics, Bionics and Biomimetics:461.3 ; Calculus:921.2

ENGINEERING

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Guangdong, Peoples R China
2.Univ Massachusetts, Dept Mech & Ind Engn, Amherst, MA 01003 USA
3.Southern Univ Sci & Technol, Sch Life Sci, Dept Biol, Shenzhen 518005, Peoples R China
4.Peking Univ Shenzhen Hosp, Dept Radiat Oncol, Shenzhen 518036, Guangdong, Peoples R China

Zhao, Tiankai,Sun, Yubing,Zhu, Qionghua,et al. A contraction-reaction-diffusion model for circular pattern formation in embryogenesis[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,2021,157.

Zhao, Tiankai.,Sun, Yubing.,Zhu, Qionghua.,Li, Xin.,Baghaee, Mehdi.,...&Yuan, Hongyan.(2021).A contraction-reaction-diffusion model for circular pattern formation in embryogenesis.JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS,157.

Zhao, Tiankai,et al."A contraction-reaction-diffusion model for circular pattern formation in embryogenesis".JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 157(2021).