Modelling the role of surface stress on the kinetics of tissue growth in confined geometries

In a previous paper we presented a theoretical framework to describe tissue growth in confined geometries based on the work of Ambrosi and Guillou [Ambrosi D, Guillou A. Growth and dissipation in biological tissues. Cont Mech Thermodyn 2007;19:245–51]. A thermodynamically consistent eigenstrain rate...

Full description

Saved in:
Bibliographic Details
Published in:Acta biomaterialia 2013-03, Vol.9 (3), p.5531-5543
Main Authors: Gamsjäger, E., Bidan, C.M., Fischer, F.D., Fratzl, P., Dunlop, J.W.C.
Format: Article
Language:English
Subjects:
Biological material
Biomechanical Phenomena
Cell culture
growth models
growth retardation
Kinetics
Models, Biological
Numerical Analysis, Computer-Assisted
Organ Specificity
Stress, Mechanical
Surface Properties
Surface stress
Thermodynamics
tissue culture
Tissue growth
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In a previous paper we presented a theoretical framework to describe tissue growth in confined geometries based on the work of Ambrosi and Guillou [Ambrosi D, Guillou A. Growth and dissipation in biological tissues. Cont Mech Thermodyn 2007;19:245–51]. A thermodynamically consistent eigenstrain rate for growth was derived using the concept of configurational forces and used to investigate growth in holes of cylindrical geometries. Tissue growing from concave surfaces can be described by a model based on this theory. However, an apparently asymmetric behaviour between growth from convex and concave surfaces has been observed experimentally, but is not predicted by this model. This contradiction is likely to be due to the presence of contractile tensile stresses produced by cells near the tissue surface. In this contribution we extend the model in order to couple tissue growth to the presence of a surface stress. This refined growth model is solved for two geometries, within a cylindrical hole and on the outer surface of a cylinder, thus demonstrating how surface stress may indeed inhibit growth on convex substrates.
ISSN:1742-7061
1878-7568
DOI:10.1016/j.actbio.2012.10.020