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

Yukie Goto

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 somitogenesis. 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.

  • AMS Subject Headings

92C15, 35Q80

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-203, author = {Yukie Goto}, title = {A 2-Dimensional Mechanical Model of the Formation of a Somite}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {1}, pages = {203--220}, 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 somitogenesis. 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/565.html} }
TY - JOUR T1 - A 2-Dimensional Mechanical Model of the Formation of a Somite AU - Yukie Goto JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 203 EP - 220 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/565.html KW - somites, somitogenesis, mechano-chemical model, traction, linear stability analysis, numerical analysis. AB -

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 somitogenesis. 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.

Yukie Goto. (2013). A 2-Dimensional Mechanical Model of the Formation of a Somite. International Journal of Numerical Analysis and Modeling. 10 (1). 203-220. doi:
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