Stabilization of telomeres in nonlinear models of proliferating cell lines.
We analyse an age-structured model of telomere loss in a proliferating cell population. The cell population is divided into telomere classes, which shorten each round of division. The model consists of a nonlinear system of partial differential equations for the telomere classes. We prove that if th...
| Hoofdauteurs: | , , , |
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| Formaat: | Journal article |
| Taal: | English |
| Gepubliceerd in: |
2007
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| _version_ | 1826276363215044608 |
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| author | Dyson, J Sánchez, E Villella-Bressan, R Webb, G |
| author_facet | Dyson, J Sánchez, E Villella-Bressan, R Webb, G |
| author_sort | Dyson, J |
| collection | OXFORD |
| description | We analyse an age-structured model of telomere loss in a proliferating cell population. The cell population is divided into telomere classes, which shorten each round of division. The model consists of a nonlinear system of partial differential equations for the telomere classes. We prove that if the highest telomere class is exempted from mortality, then all the classes stabilize to a nontrivial equilibrium dependent on the initial state of cells in the highest telomere class. |
| first_indexed | 2024-03-06T23:12:49Z |
| format | Journal article |
| id | oxford-uuid:6613c76e-d2f6-4a3b-9c99-313d965d51cb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:12:49Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:6613c76e-d2f6-4a3b-9c99-313d965d51cb2022-03-26T18:29:37ZStabilization of telomeres in nonlinear models of proliferating cell lines.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6613c76e-d2f6-4a3b-9c99-313d965d51cbEnglishSymplectic Elements at Oxford2007Dyson, JSánchez, EVillella-Bressan, RWebb, GWe analyse an age-structured model of telomere loss in a proliferating cell population. The cell population is divided into telomere classes, which shorten each round of division. The model consists of a nonlinear system of partial differential equations for the telomere classes. We prove that if the highest telomere class is exempted from mortality, then all the classes stabilize to a nontrivial equilibrium dependent on the initial state of cells in the highest telomere class. |
| spellingShingle | Dyson, J Sánchez, E Villella-Bressan, R Webb, G Stabilization of telomeres in nonlinear models of proliferating cell lines. |
| title | Stabilization of telomeres in nonlinear models of proliferating cell lines. |
| title_full | Stabilization of telomeres in nonlinear models of proliferating cell lines. |
| title_fullStr | Stabilization of telomeres in nonlinear models of proliferating cell lines. |
| title_full_unstemmed | Stabilization of telomeres in nonlinear models of proliferating cell lines. |
| title_short | Stabilization of telomeres in nonlinear models of proliferating cell lines. |
| title_sort | stabilization of telomeres in nonlinear models of proliferating cell lines |
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