An analysis of a mathematical model of trophoblast invasion
We present a mathematical model that describes the initial stages of placental development during which trophoblast cells begin to invade the uterine tissue. We then carry out a mathematical analysis of a simpler submodel that describes the final stages of normal embryo implantation and suggests tha...
| Huvudupphovsmän: | , , , |
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| Materialtyp: | Journal article |
| Publicerad: |
Elsevier
2001
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| _version_ | 1826295370306551808 |
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| author | Byrne, H Chaplain, MAJ Pettet, G McElwain, D |
| author_facet | Byrne, H Chaplain, MAJ Pettet, G McElwain, D |
| author_sort | Byrne, H |
| collection | OXFORD |
| description | We present a mathematical model that describes the initial stages of placental development during which trophoblast cells begin to invade the uterine tissue. We then carry out a mathematical analysis of a simpler submodel that describes the final stages of normal embryo implantation and suggests that as the timescale of interest increases, the dominant migratory mechanism of the trophoblasts switches from chemotaxis to nonlinear random motion. |
| first_indexed | 2024-03-07T03:59:58Z |
| format | Journal article |
| id | oxford-uuid:c435f051-5e24-4505-a910-a7b8de4afa4c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:59:58Z |
| publishDate | 2001 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:c435f051-5e24-4505-a910-a7b8de4afa4c2022-03-27T06:21:57ZAn analysis of a mathematical model of trophoblast invasionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c435f051-5e24-4505-a910-a7b8de4afa4cSymplectic Elements at OxfordElsevier2001Byrne, HChaplain, MAJPettet, GMcElwain, DWe present a mathematical model that describes the initial stages of placental development during which trophoblast cells begin to invade the uterine tissue. We then carry out a mathematical analysis of a simpler submodel that describes the final stages of normal embryo implantation and suggests that as the timescale of interest increases, the dominant migratory mechanism of the trophoblasts switches from chemotaxis to nonlinear random motion. |
| spellingShingle | Byrne, H Chaplain, MAJ Pettet, G McElwain, D An analysis of a mathematical model of trophoblast invasion |
| title | An analysis of a mathematical model of trophoblast invasion |
| title_full | An analysis of a mathematical model of trophoblast invasion |
| title_fullStr | An analysis of a mathematical model of trophoblast invasion |
| title_full_unstemmed | An analysis of a mathematical model of trophoblast invasion |
| title_short | An analysis of a mathematical model of trophoblast invasion |
| title_sort | analysis of a mathematical model of trophoblast invasion |
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