Volume 10, Issue 1
A 2-dimensional Mechanical Model of the Formation of a Somite

Yukie Goto

DOI:

Int. J. Numer. Anal. Mod., 10 (2013), pp. 203-220.

Published online: 2013-10

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  • Abstract

The mechanochemical model proposed in 1983 by G. Oster, J. D. Murray and A. K. Harris has been deployed to describe various morphological phenomena in biology, such as feather bud formation [17] and angiogenesis and vasculogenesis [10, 13]. In this article, we apply a mechanochemical model to the formation of a somite to better understand the role that the mechanical aspects of the cells and the extracellular matrix (ECM) play in somitogensis. In particular, our focus lies in the effect of the contractile forces generated by the cells, which are exerted onto the surrounding ECM. Our approach involves the linear stability analysis and a study of asymptotic behavior of the cell density based on a priori estimates. The full model considered in 2 dimensional space is numerically simulated to show that the traction force of the cells alone can generate a pattern.

  • Keywords

somites somitogenesis mechano-chemical model traction linear stability analysis numerical analysis

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COPYRIGHT: © Global Science Press

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