Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface

• Published in: Journal of fluid mechanics Vol. 738; pp. 492 - 521
• Main Authors: Kuznetsov, A. V., Blinov, D. G., Avramenko, A. A., Shevchuk, I. V., Tyrinov, A. I., Kuznetsov, I. A.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.01.2014
• Subjects: Approximation; Biological and medical sciences; Cellular biology; Complex syndromes; Computational fluid dynamics; Embryology; Flow; Fluid flow; Fluid mechanics; Mathematical models; Medical genetics; Medical sciences; Modelling; Transport; Vortices; Vorticity; biomedical flows; convection in cavities; low-dimensional models; Immotile cilia syndrome; Embryonic development

In this paper, we have developed an approximate method for modelling the flow of embryonic fluid in a ventral node. We simplified the problem as flow in a two-dimensional cavity; the effect of rotating cilia was modelled by specifying a constant vorticity at the edge of the ciliated layer. We also d...