Surface tension and modeling of cellular intercalation during zebrafish gastrulation
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 v...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.259 |
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| author | Colette Calmelet Diane Sepich |
| author_facet | Colette Calmelet Diane Sepich |
| author_sort | Colette Calmelet |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8b9dd1a0b32c4f6588c4c2144296609f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8b9dd1a0b32c4f6588c4c2144296609f2025-01-24T02:00:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-03-017225927510.3934/mbe.2010.7.259Surface tension and modeling of cellular intercalation during zebrafish gastrulationColette Calmelet0Diane Sepich1Department of Mathematics and Statistics, California State University, Holt Hall 181, Chico, CA 95929Department of Mathematics and Statistics, California State University, Holt Hall 181, Chico, CA 95929In 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.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.259cortical tensionanisotropic adhesioncellular potts modelmophogenetic movementszebrafishtotal energymodelingstability.cellular intercalationsurface tension |
| spellingShingle | Colette Calmelet Diane Sepich Surface tension and modeling of cellular intercalation during zebrafish gastrulation Mathematical Biosciences and Engineering cortical tension anisotropic adhesion cellular potts model mophogenetic movements zebrafish total energy modeling stability. cellular intercalation surface tension |
| title | Surface tension and modeling of cellular intercalation during zebrafish gastrulation |
| title_full | Surface tension and modeling of cellular intercalation during zebrafish gastrulation |
| title_fullStr | Surface tension and modeling of cellular intercalation during zebrafish gastrulation |
| title_full_unstemmed | Surface tension and modeling of cellular intercalation during zebrafish gastrulation |
| title_short | Surface tension and modeling of cellular intercalation during zebrafish gastrulation |
| title_sort | surface tension and modeling of cellular intercalation during zebrafish gastrulation |
| topic | cortical tension anisotropic adhesion cellular potts model mophogenetic movements zebrafish total energy modeling stability. cellular intercalation surface tension |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.259 |
| work_keys_str_mv | AT colettecalmelet surfacetensionandmodelingofcellularintercalationduringzebrafishgastrulation AT dianesepich surfacetensionandmodelingofcellularintercalationduringzebrafishgastrulation |