Modeling Multicellular Systems Using Subcellular Elements
We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are subcellular elements, which interact with each other through phenomenological intra- and intercellular potentials. Advantages of the model include i) adaptive...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.613 |
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| author | T. J. Newman |
| author_facet | T. J. Newman |
| author_sort | T. J. Newman |
| collection | DOAJ |
| description | We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are subcellular elements, which interact with each other through phenomenological intra- and intercellular potentials. Advantages of the model include i) adaptive cell-shape dynamics, ii) flexible accommodation of additional intracellular biology, and iii) the absence of an underlying grid. We present here a detailed description of the model, and use successive mean-field approximations to connect it to more coarse-grained approaches, such as discrete cell-based algorithms and coupled partial differential equations. We also discuss efficient algorithms for encoding the model, and give an example of a simulation of an epithelial sheet. Given the biological flexibility of the model, we propose that it can be used effectively for modeling a range of multicellular processes, such as tumor dynamics and embryogenesis. |
| format | Article |
| id | doaj-art-384913f27c5c4ad38a3480f3aad191c3 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-384913f27c5c4ad38a3480f3aad191c32025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012361362410.3934/mbe.2005.2.613Modeling Multicellular Systems Using Subcellular ElementsT. J. Newman0Department of Physics & Astronomy, and School of Life Sciences, Arizona State University, Tempe, AZ 85287We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are subcellular elements, which interact with each other through phenomenological intra- and intercellular potentials. Advantages of the model include i) adaptive cell-shape dynamics, ii) flexible accommodation of additional intracellular biology, and iii) the absence of an underlying grid. We present here a detailed description of the model, and use successive mean-field approximations to connect it to more coarse-grained approaches, such as discrete cell-based algorithms and coupled partial differential equations. We also discuss efficient algorithms for encoding the model, and give an example of a simulation of an epithelial sheet. Given the biological flexibility of the model, we propose that it can be used effectively for modeling a range of multicellular processes, such as tumor dynamics and embryogenesis.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.613tumor growthcomputersimulationembryogenesislangevin dynamics.multicellular systemsdevelopmentepithelial sheet |
| spellingShingle | T. J. Newman Modeling Multicellular Systems Using Subcellular Elements Mathematical Biosciences and Engineering tumor growth computersimulation embryogenesis langevin dynamics. multicellular systems development epithelial sheet |
| title | Modeling Multicellular Systems Using Subcellular Elements |
| title_full | Modeling Multicellular Systems Using Subcellular Elements |
| title_fullStr | Modeling Multicellular Systems Using Subcellular Elements |
| title_full_unstemmed | Modeling Multicellular Systems Using Subcellular Elements |
| title_short | Modeling Multicellular Systems Using Subcellular Elements |
| title_sort | modeling multicellular systems using subcellular elements |
| topic | tumor growth computersimulation embryogenesis langevin dynamics. multicellular systems development epithelial sheet |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.613 |
| work_keys_str_mv | AT tjnewman modelingmulticellularsystemsusingsubcellularelements |