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Mathematical Biosciences and Engineering

2010, Volume 7, Issue 2: 259-275. doi: 10.3934/mbe.2010.7.259
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Surface tension and modeling of cellular intercalation during zebrafish gastrulation

  • 1.
    Department of Mathematics and Statistics, California State University, Holt Hall 181, Chico, CA 95929
  • 2.
    Department of Biological Sciences, Vanderbilt University, MRBIII Suite 4260A, Nashville, TN 37203
  • Received: 01 July 2009 Accepted: 29 June 2018 Published: 01 April 2010

  • MSC : Primary: 92-08, 92-C15; Secondary: 65C05, 68U99.

  • In this paper we discuss a model of zebrafish embryo notochord development based on the effect of surface tension of cells at the boundaries. We study the process of interaction of mesodermal cells at the boundaries due to adhesion and cortical tension, resulting in cellular intercalation. From in vivo experiments, we obtain cell outlines of time-lapse images of cell movements during zebrafish embryo development. Using Cellular Potts Model, we calculate the total surface energy of the system of cells at different time intervals at cell contacts. We analyze the variations of total energy depending on nature of cell contacts. We demonstrate that our model can be viable by calculating the total surface energy value for experimentally observed configurations of cells and showing that in our model these configurations correspond to a decrease in total energy values in both two and three dimensions.

    Citation: Colette Calmelet, Diane Sepich. Surface tension and modeling of cellular intercalation during zebrafish gastrulation[J]. Mathematical Biosciences and Engineering, 2010, 7(2): 259-275. doi: 10.3934/mbe.2010.7.259

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  • In this paper we discuss a model of zebrafish embryo notochord development based on the effect of surface tension of cells at the boundaries. We study the process of interaction of mesodermal cells at the boundaries due to adhesion and cortical tension, resulting in cellular intercalation. From in vivo experiments, we obtain cell outlines of time-lapse images of cell movements during zebrafish embryo development. Using Cellular Potts Model, we calculate the total surface energy of the system of cells at different time intervals at cell contacts. We analyze the variations of total energy depending on nature of cell contacts. We demonstrate that our model can be viable by calculating the total surface energy value for experimentally observed configurations of cells and showing that in our model these configurations correspond to a decrease in total energy values in both two and three dimensions.


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  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

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