Asynchronous exponential growth in an age structured population of proliferating and quiescent cells.
A model of a proliferating cell population is analyzed. The model distinguishes individual cells by cell age, which corresponds to phase of the cell cycle. The model also distinguishes individual cells by proliferating or quiescent status. The model allows cells to transit between these two states a...
| Những tác giả chính: | , , |
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
| Được phát hành: |
2002
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| _version_ | 1826264012636028928 |
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| author | Dyson, J Villella-Bressan, R Webb, G |
| author_facet | Dyson, J Villella-Bressan, R Webb, G |
| author_sort | Dyson, J |
| collection | OXFORD |
| description | A model of a proliferating cell population is analyzed. The model distinguishes individual cells by cell age, which corresponds to phase of the cell cycle. The model also distinguishes individual cells by proliferating or quiescent status. The model allows cells to transit between these two states at any age, that is, any phase of the cell cycle. The model also allows newly divided cells to enter quiescence at cell birth, that is, cell age 0. Sufficient conditions are established to assure that the cell population has asynchronous exponential growth. As a consequence of this asynchronous exponential growth the population stabilizes in the sense that the proportion of the population in any age range, or the fraction in proliferating or quiescent state, converges to a limiting value as time evolves, independently of the age distribution and proliferating or quiescent fractions of the initial cell population. The asynchronous exponential growth is proved by demonstrating that the strongly continuous linear semi-group associated with the partial differential equations of the model is positive, irreducible, and eventually compact. |
| first_indexed | 2024-03-06T20:01:01Z |
| format | Journal article |
| id | oxford-uuid:274b6aa4-3b38-437a-b0a5-04b886f22586 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:01:01Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:274b6aa4-3b38-437a-b0a5-04b886f225862022-03-26T12:06:05ZAsynchronous exponential growth in an age structured population of proliferating and quiescent cells.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:274b6aa4-3b38-437a-b0a5-04b886f22586EnglishSymplectic Elements at Oxford2002Dyson, JVillella-Bressan, RWebb, GA model of a proliferating cell population is analyzed. The model distinguishes individual cells by cell age, which corresponds to phase of the cell cycle. The model also distinguishes individual cells by proliferating or quiescent status. The model allows cells to transit between these two states at any age, that is, any phase of the cell cycle. The model also allows newly divided cells to enter quiescence at cell birth, that is, cell age 0. Sufficient conditions are established to assure that the cell population has asynchronous exponential growth. As a consequence of this asynchronous exponential growth the population stabilizes in the sense that the proportion of the population in any age range, or the fraction in proliferating or quiescent state, converges to a limiting value as time evolves, independently of the age distribution and proliferating or quiescent fractions of the initial cell population. The asynchronous exponential growth is proved by demonstrating that the strongly continuous linear semi-group associated with the partial differential equations of the model is positive, irreducible, and eventually compact. |
| spellingShingle | Dyson, J Villella-Bressan, R Webb, G Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. |
| title | Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. |
| title_full | Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. |
| title_fullStr | Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. |
| title_full_unstemmed | Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. |
| title_short | Asynchronous exponential growth in an age structured population of proliferating and quiescent cells. |
| title_sort | asynchronous exponential growth in an age structured population of proliferating and quiescent cells |
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