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  4. Morphomechanical Model Of The Torsional C-Looping In The Embryonic Heart
 
research article

Morphomechanical Model Of The Torsional C-Looping In The Embryonic Heart

Bevilacqua, Giulia
•
Ciarletta, Pasquale
•
Quarteroni, Alfio  
January 1, 2021
Siam Journal On Applied Mathematics

Before septation processes shape its four chambers, the embryonic heart is a straight tube that spontaneously bends and twists breaking the left-right symmetry. In particular, the heart tube is subjected to a cell remodeling inducing ventral bending and dextral torsion during the c-looping phase. In this work we propose a morphomechanical model for the torsion of the heart tube that behaves as a nonlinear elastic body. We hypothesize that this spontaneous looping can be modeled as a mechanical instability due to accumulation of residual stresses induced by the geometrical frustration of tissue remodeling, which mimics the cellular rearrangement within the heart tube. Thus, we perform a linear stability analysis of the resulting nonlinear elastic boundary value problem to determine the onset of c-looping as a function of the geometry of the tube and of the internal remodeling rate. We perform numerical simulations to study the fully nonlinear morphological transition, showing that the soft tube develops a realistic self-contacting looped shape in the physiological range of geometrical parameters.

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Type
research article
DOI
10.1137/20M1370720
Web of Science ID

WOS:000674268900008

Author(s)
Bevilacqua, Giulia
•
Ciarletta, Pasquale
•
Quarteroni, Alfio  
Date Issued

2021-01-01

Publisher

SIAM PUBLICATIONS

Published in
Siam Journal On Applied Mathematics
Volume

81

Issue

3

Start page

897

End page

918

Subjects

Mathematics, Applied

•

Mathematics

•

embryogenesis

•

elastic stability

•

heart tube

•

c-looping

•

nonlinear elasticity

•

remodeling

•

mechanical forces

•

instability

•

stress

•

growth

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Available on Infoscience
August 28, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/180910
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