A mathematical model for mechanotransduction at the early steps of suture formation

Khonsari, R.H. and Olivier, J. and Vigneaux, P. and Sanchez, S. and Tafforeau, P. and Ahlberg, P.E. and Di Rocco, F. and Bresch, D. and Corre, P. and Ohazama, A. and Sharpe, P.T. and Calvez, V. (2013) A mathematical model for mechanotransduction at the early steps of suture formation. Proceedings of the Royal Society B: Biological Sciences, Royal Society, 280 (1759). ISSN 0962-8452

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Abstract

Growth and patterning of craniofacial sutures are subjected to the effects of mechanical stress. Mechanotransduction processes occurring at the margins of the sutures are not precisely understood. Here, we propose a simple theoretical model based on the orientation of collagen fibres within the suture in response to local stress. We demonstrate that fibre alignment generates an instability leading to the emergence of interdigitations. We confirm the appearance of this instability both analytically and numerically. To support our model, we use histology and synchrotron x-ray microtomography and reveal the fine structure of fibres within the sutural mesenchyme and their insertion into the bone. Furthermore, using a mouse model with impaired mechanotransduction, we show that the architecture of sutures is disturbed when forces are not interpreted properly. Finally, by studying the structure of sutures in the mouse, the rat, an actinopterygian (\emph{Polypterus bichir}) and a placoderm (\emph{Compagopiscis croucheri}), we show that bone deposition patterns during dermal bone growth are conserved within jawed vertebrates. In total, these results support the role of mechanical constraints in the growth and patterning of craniofacial sutures, a process that was probably effective at the emergence of gnathostomes, and provide new directions for the understanding of normal and pathological suture fusion.

Item Type: Article
Uncontrolled Keywords: sutural bone growth; mechanical instability; partial differential equation; synchrotron microtomography; mechanotransduction
Subjects: Q Science > QA Mathematics
Q Science > QM Human anatomy
R Medicine > RK Dentistry
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics > Department of Applied Mathematics
Depositing User: Julien Olivier
Date Deposited: 18 May 2013 08:17
Last Modified: 17 Nov 2017 04:21
URI: http://preprints.acmac.uoc.gr/id/eprint/229

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