A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions
Interactions between tumor cells and their environment lead to the formation of microregions containing nonhomogeneous subpopulations of cells and steep gradients in oxygen, glucose, and other metabolites. To address the formation of tumor microregions on the level of single cells, I propose a new t...
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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.2005.2.643 |
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| _version_ | 1832590241131659264 |
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| author | Katarzyna A. Rejniak |
| author_facet | Katarzyna A. Rejniak |
| author_sort | Katarzyna A. Rejniak |
| collection | DOAJ |
| description | Interactions between tumor cells and their environment lead to the formation of microregions containing nonhomogeneous subpopulations of cells and steep gradients in oxygen, glucose, and other metabolites. To address the formation of tumor microregions on the level of single cells, I propose a new two-dimensional time-dependent mathematical model taking explicitly into account the individually regulated biomechanical processes of tumor cells and the effect of oxygen consumption on their metabolism. Numerical simulations of the self-organized formation of tumor microregions are presented and the dynamics of such a process is discussed. |
| format | Article |
| id | doaj-art-26d372c460ac487389dec1b061f11446 |
| 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-26d372c460ac487389dec1b061f114462025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012364365510.3934/mbe.2005.2.643A Single-Cell Approach in Modeling the Dynamics of Tumor MicroregionsKatarzyna A. Rejniak0Mathematical Biosciences Institute, Ohio State University, 231 West 18th Avenue, Columbus, OH 43210Interactions between tumor cells and their environment lead to the formation of microregions containing nonhomogeneous subpopulations of cells and steep gradients in oxygen, glucose, and other metabolites. To address the formation of tumor microregions on the level of single cells, I propose a new two-dimensional time-dependent mathematical model taking explicitly into account the individually regulated biomechanical processes of tumor cells and the effect of oxygen consumption on their metabolism. Numerical simulations of the self-organized formation of tumor microregions are presented and the dynamics of such a process is discussed.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.643avascular tumor growthmathe-matical modelingtumor microregions developmentimmersed boundary method. |
| spellingShingle | Katarzyna A. Rejniak A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions Mathematical Biosciences and Engineering avascular tumor growth mathe-matical modeling tumor microregions development immersed boundary method. |
| title | A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions |
| title_full | A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions |
| title_fullStr | A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions |
| title_full_unstemmed | A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions |
| title_short | A Single-Cell Approach in Modeling the Dynamics of Tumor Microregions |
| title_sort | single cell approach in modeling the dynamics of tumor microregions |
| topic | avascular tumor growth mathe-matical modeling tumor microregions development immersed boundary method. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.643 |
| work_keys_str_mv | AT katarzynaarejniak asinglecellapproachinmodelingthedynamicsoftumormicroregions AT katarzynaarejniak singlecellapproachinmodelingthedynamicsoftumormicroregions |