A mathematical model of stem cell regeneration with epigenetic state transitions
In this paper, we study a mathematical model of stem cell regeneration with epigenetic state transitions. In the model, the heterogeneity of stem cells is considered through the epigenetic state of each cell, and each epigenetic state defines a subpopulation of stem cells. The dynamics of the subpop...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017071 |
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| _version_ | 1832590029124272128 |
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| author | Qiaojun Situ Jinzhi Lei |
| author_facet | Qiaojun Situ Jinzhi Lei |
| author_sort | Qiaojun Situ |
| collection | DOAJ |
| description | In this paper, we study a mathematical model of stem cell regeneration with epigenetic state transitions. In the model, the heterogeneity of stem cells is considered through the epigenetic state of each cell, and each epigenetic state defines a subpopulation of stem cells. The dynamics of the subpopulations are modeled by a set of ordinary differential equations in which epigenetic state transition in cell division is given by the transition probability. We present analysis for the existence and linear stability of the equilibrium state. As an example, we apply the model to study the dynamics of state transition in breast cancer stem cells. |
| format | Article |
| id | doaj-art-1c48d05de2894d129030d82954d101fc |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-1c48d05de2894d129030d82954d101fc2025-01-24T02:40:31ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-09-01145&61379139710.3934/mbe.2017071A mathematical model of stem cell regeneration with epigenetic state transitionsQiaojun Situ0Jinzhi Lei1Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, ChinaZhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, ChinaIn this paper, we study a mathematical model of stem cell regeneration with epigenetic state transitions. In the model, the heterogeneity of stem cells is considered through the epigenetic state of each cell, and each epigenetic state defines a subpopulation of stem cells. The dynamics of the subpopulations are modeled by a set of ordinary differential equations in which epigenetic state transition in cell division is given by the transition probability. We present analysis for the existence and linear stability of the equilibrium state. As an example, we apply the model to study the dynamics of state transition in breast cancer stem cells.https://www.aimspress.com/article/doi/10.3934/mbe.2017071stem cellpopulation dynamicsepigenetic statehistone modificationdna methylationstability |
| spellingShingle | Qiaojun Situ Jinzhi Lei A mathematical model of stem cell regeneration with epigenetic state transitions Mathematical Biosciences and Engineering stem cell population dynamics epigenetic state histone modification dna methylation stability |
| title | A mathematical model of stem cell regeneration with epigenetic state transitions |
| title_full | A mathematical model of stem cell regeneration with epigenetic state transitions |
| title_fullStr | A mathematical model of stem cell regeneration with epigenetic state transitions |
| title_full_unstemmed | A mathematical model of stem cell regeneration with epigenetic state transitions |
| title_short | A mathematical model of stem cell regeneration with epigenetic state transitions |
| title_sort | mathematical model of stem cell regeneration with epigenetic state transitions |
| topic | stem cell population dynamics epigenetic state histone modification dna methylation stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017071 |
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