Variable renewal rate and growth properties of cell populations in colon crypts
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...
| Hauptverfasser: | , , , |
|---|---|
| Format: | Journal article |
| Veröffentlicht: |
American Physical Society
2010
|
| _version_ | 1826291980925140992 |
|---|---|
| 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 | 2024-03-07T03:07:40Z |
| format | Journal article |
| id | oxford-uuid:b31a0396-80d7-4c09-932e-dbdbd7972554 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:07:40Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b31a0396-80d7-4c09-932e-dbdbd79725542022-03-27T04:16:34ZVariable renewal rate and growth properties of cell populations in colon cryptsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b31a0396-80d7-4c09-932e-dbdbd7972554Mathematical 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 crypts |
| title | Variable renewal rate and growth properties of cell populations in colon crypts |
| title_full | Variable renewal rate and growth properties of cell populations in colon crypts |
| title_fullStr | Variable renewal rate and growth properties of cell populations in colon crypts |
| title_full_unstemmed | Variable renewal rate and growth properties of cell populations in colon crypts |
| title_short | Variable renewal rate and growth properties of cell populations in colon crypts |
| title_sort | variable renewal rate and growth properties of cell populations in colon crypts |
| work_keys_str_mv | AT digarboa variablerenewalrateandgrowthpropertiesofcellpopulationsincoloncrypts AT johnstonm variablerenewalrateandgrowthpropertiesofcellpopulationsincoloncrypts AT chapmans variablerenewalrateandgrowthpropertiesofcellpopulationsincoloncrypts AT mainip variablerenewalrateandgrowthpropertiesofcellpopulationsincoloncrypts |