Towards a unified theory for morphomechanics.

Full Abstract

Mechanical forces are closely involved in the construction of an embryo. Experiments have suggested that mechanical feedback plays a role in regulating these forces, but the nature of this feedback is poorly understood. Here, we propose a general principle for the mechanics of morphogenesis, as governed by a pair of evolution equations based on feedback from tissue stress. In one equation, the rate of growth (or contraction) depends on the difference between the current tissue stress and a target (homeostatic) stress. In the other equation, the target stress changes at a rate that depends on the same stress difference. The parameters in these morphomechanical laws are assumed to depend on stress rate. Computational models are used to illustrate how these equations can capture a relatively wide range of behaviours observed in developing embryos, as well as show the limitations of this theory. Specific applications include growth of pressure vessels (e.g. the heart, arteries and brain), wound healing and sea urchin gastrulation. Understanding the fundamental principles of tissue construction can help engineers design new strategies for creating replacement tissues and organs in vitro.

Author information

Author/s: Taber, Larry A (LA);

Affiliation: Department of Biomedical Engineering, Washington University, Louis, MO 63130, USA. lat(-atsign-)wustl.edu

Grants: R01 GM075200 (Agency:NIGMS NIH HHS) ; R01 HL083393 (Agency:NHLBI NIH HHS)

Journal and publication information

Publication Type: Journal Article; Research Support, N.I.H., Extramural; Research Support, U.S. Gov't, Non-P.H.S.

Journal: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences (Philos Transact A Math Phys Eng Sci), published in England. (Language: eng)

Reference: 2009-Sep; vol 367 (issue 1902) : pp 3555-83

Dates: Created 2009/08/06; Completed 2009/10/21;

PMID: 19657011, status: MEDLINE (last retrieval date: 10/21/2009, IMS Date: )

Sourced from the National Library of Medicine. Abstract text and other information may be subject to copyright.

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