Theory of mechanochemical patterning in biphasic biological tissues.

Proceedings of the National Academy of Sciences of the United States of America
Pierre RechoEdouard Hannezo

Abstract

The formation of self-organized patterns is key to the morphogenesis of multicellular organisms, although a comprehensive theory of biological pattern formation is still lacking. Here, we propose a minimal model combining tissue mechanics with morphogen turnover and transport to explore routes to patterning. Our active description couples morphogen reaction and diffusion, which impact cell differentiation and tissue mechanics, to a two-phase poroelastic rheology, where one tissue phase consists of a poroelastic cell network and the other one of a permeating extracellular fluid, which provides a feedback by actively transporting morphogens. While this model encompasses previous theories approximating tissues to inert monophasic media, such as Turing's reaction-diffusion model, it overcomes some of their key limitations permitting pattern formation via any two-species biochemical kinetics due to mechanically induced cross-diffusion flows. Moreover, we describe a qualitatively different advection-driven Keller-Segel instability which allows for the formation of patterns with a single morphogen and whose fundamental mode pattern robustly scales with tissue size. We discuss the potential relevance of these findings for tissue morpho...Continue Reading

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Citations

Dec 22, 2019·Development·Daniel Čapek, Patrick Müller
Mar 4, 2020·Development·Chii J Chan, Takashi Hiiragi
Feb 19, 2020·Development·Adrien Hallou, Thibaut Brunet
Aug 28, 2020·APL Bioengineering·Wenzhen ZhuDong-An Wang
Jul 7, 2020·Annual Review of Cell and Developmental Biology·O Hamant, T E Saunders
Nov 6, 2020·Developmental Biology·Nicola GrittiVikas Trivedi
Dec 5, 2020·Physical Biology·Pierre-François LenneSham Tlili
Jun 24, 2021·The European Physical Journal. E, Soft Matter·Andrei Zakharov, Kinjal Dasbiswas
Jun 26, 2021·Physical Review Letters·Pierre A Haas, Raymond E Goldstein
Jul 10, 2021·Annual Review of Cell and Developmental Biology·Yonit Maroudas-Sacks, Kinneret Keren
Nov 17, 2021·Soft Matter·Saraswat Bhattacharyya, Julia M Yeomans

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Methods Mentioned

BETA
rheology
fluorescence correlation spectroscopy
fluorescence recovery after photobleaching

Software Mentioned

Mathematica
Matlab

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