Study on multicellular systems using a phase field model.
A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell. The dynamics of each cell is based on the criteria for minimi...
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2012-01-01
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doaj-89def4ba25344c1d84718e78e0d1d9722020-11-25T00:11:17ZengPublic Library of Science (PLoS)PLoS ONE1932-62032012-01-0174e3350110.1371/journal.pone.0033501Study on multicellular systems using a phase field model.Makiko NonomuraA model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell. The dynamics of each cell is based on the criteria for minimizing the surface area and retaining a certain volume. The effects of cell adhesion and excluded volume are also taken into account. The proposed model can be used to find the position of the membrane and/or the cortex of each cell without the need to adopt extra variables. This model is suitable for numerical simulations of a system having a large number of cells. The two-dimensional results of cell division, cell adhesion, rearrangement of a cell cluster, chemotaxis, and cell sorting as well as the three-dimensional results of cell clusters on the substrate are presented.http://europepmc.org/articles/PMC3335162?pdf=render |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Makiko Nonomura |
spellingShingle |
Makiko Nonomura Study on multicellular systems using a phase field model. PLoS ONE |
author_facet |
Makiko Nonomura |
author_sort |
Makiko Nonomura |
title |
Study on multicellular systems using a phase field model. |
title_short |
Study on multicellular systems using a phase field model. |
title_full |
Study on multicellular systems using a phase field model. |
title_fullStr |
Study on multicellular systems using a phase field model. |
title_full_unstemmed |
Study on multicellular systems using a phase field model. |
title_sort |
study on multicellular systems using a phase field model. |
publisher |
Public Library of Science (PLoS) |
series |
PLoS ONE |
issn |
1932-6203 |
publishDate |
2012-01-01 |
description |
A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell. The dynamics of each cell is based on the criteria for minimizing the surface area and retaining a certain volume. The effects of cell adhesion and excluded volume are also taken into account. The proposed model can be used to find the position of the membrane and/or the cortex of each cell without the need to adopt extra variables. This model is suitable for numerical simulations of a system having a large number of cells. The two-dimensional results of cell division, cell adhesion, rearrangement of a cell cluster, chemotaxis, and cell sorting as well as the three-dimensional results of cell clusters on the substrate are presented. |
url |
http://europepmc.org/articles/PMC3335162?pdf=render |
work_keys_str_mv |
AT makikononomura studyonmulticellularsystemsusingaphasefieldmodel |
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