Variable renewal rate and growth properties of cell populations in colon crypt
A nonlinear mathematical model is used to investigate the time evolution of the cell populations in colon crypts (stem, semidifferentiated and fully differentiated cells). To mimic pathological alteration of the biochemical pathways leading to abnormal proliferative activity of the population of sem...
| Main Authors: | , , , |
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| Format: | Journal article |
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American Physical Society
2010
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| _version_ | 1797067341839728640 |
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| author | Di Garbo, A Johnston, M Chapman, S Maini, P |
| author_facet | Di Garbo, A Johnston, M Chapman, S Maini, P |
| author_sort | Di Garbo, A |
| collection | OXFORD |
| description | A nonlinear mathematical model is used to investigate the time evolution of the cell populations in colon crypts (stem, semidifferentiated and fully differentiated cells). To mimic pathological alteration of the biochemical pathways leading to abnormal proliferative activity of the population of semidifferentiated cells their renewal rate is assumed to be dependent on the population size. Then, the effects of such perturbation on the population dynamics are investigated theoretically. Using both theoretical methods and numerical simulations it is shown that the increase in the renewal rate of semidifferentiated cells strongly impacts the dynamical behavior of the cell populations. |
| first_indexed | 2024-03-06T21:54:54Z |
| format | Journal article |
| id | oxford-uuid:4c937e36-7902-4f11-a397-acf6b7e1c3c1 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:54:54Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:4c937e36-7902-4f11-a397-acf6b7e1c3c12022-03-26T15:50:16ZVariable renewal rate and growth properties of cell populations in colon cryptJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4c937e36-7902-4f11-a397-acf6b7e1c3c1Mathematical Institute - ePrintsAmerican Physical Society2010Di Garbo, AJohnston, MChapman, SMaini, PA nonlinear mathematical model is used to investigate the time evolution of the cell populations in colon crypts (stem, semidifferentiated and fully differentiated cells). To mimic pathological alteration of the biochemical pathways leading to abnormal proliferative activity of the population of semidifferentiated cells their renewal rate is assumed to be dependent on the population size. Then, the effects of such perturbation on the population dynamics are investigated theoretically. Using both theoretical methods and numerical simulations it is shown that the increase in the renewal rate of semidifferentiated cells strongly impacts the dynamical behavior of the cell populations. |
| spellingShingle | Di Garbo, A Johnston, M Chapman, S Maini, P Variable renewal rate and growth properties of cell populations in colon crypt |
| title | Variable renewal rate and growth properties of cell populations in colon crypt |
| title_full | Variable renewal rate and growth properties of cell populations in colon crypt |
| title_fullStr | Variable renewal rate and growth properties of cell populations in colon crypt |
| title_full_unstemmed | Variable renewal rate and growth properties of cell populations in colon crypt |
| title_short | Variable renewal rate and growth properties of cell populations in colon crypt |
| title_sort | variable renewal rate and growth properties of cell populations in colon crypt |
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