A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions.
In this work we present an analysis, supported by numerical simulations, of the formulation of the cell-cycle model for somitogenesis proposed in Collier et al. (J. Theor Biol. 207 (2000), 305-316). The analysis indicates that by introducing appropriate parameter constraints on model parameters the...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797086600025341952 |
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| author | McInerney, D Schnell, S Baker, R Maini, P |
| author_facet | McInerney, D Schnell, S Baker, R Maini, P |
| author_sort | McInerney, D |
| collection | OXFORD |
| description | In this work we present an analysis, supported by numerical simulations, of the formulation of the cell-cycle model for somitogenesis proposed in Collier et al. (J. Theor Biol. 207 (2000), 305-316). The analysis indicates that by introducing appropriate parameter constraints on model parameters the cell-cycle mechanism can indeed give rise to the periodic pattern of somites observed in normal embryos. The analysis also provides a greater understanding of the signalling process controlling somite formation and allows us to understand which parameters influence somite length. |
| first_indexed | 2024-03-07T02:24:11Z |
| format | Journal article |
| id | oxford-uuid:a5052aab-9ee6-4b60-abcb-41162c21b438 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:24:11Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:a5052aab-9ee6-4b60-abcb-41162c21b4382022-03-27T02:37:35ZA mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a5052aab-9ee6-4b60-abcb-41162c21b438EnglishSymplectic Elements at Oxford2004McInerney, DSchnell, SBaker, RMaini, PIn this work we present an analysis, supported by numerical simulations, of the formulation of the cell-cycle model for somitogenesis proposed in Collier et al. (J. Theor Biol. 207 (2000), 305-316). The analysis indicates that by introducing appropriate parameter constraints on model parameters the cell-cycle mechanism can indeed give rise to the periodic pattern of somites observed in normal embryos. The analysis also provides a greater understanding of the signalling process controlling somite formation and allows us to understand which parameters influence somite length. |
| spellingShingle | McInerney, D Schnell, S Baker, R Maini, P A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. |
| title | A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. |
| title_full | A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. |
| title_fullStr | A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. |
| title_full_unstemmed | A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. |
| title_short | A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. |
| title_sort | mathematical formulation for the cell cycle model in somitogenesis analysis parameter constraints and numerical solutions |
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