Qualitative analysis of an integro-differential equation model of periodic chemotherapy
An existing model of tumor growth that accounts for cell cycle arrest and cell death induced by chemotherapy is extended to simulate the response to treatment of a tumor growing in vivo. The tumor is assumed to undergo logistic growth in the absence of therapy, and treatment is administered periodic...
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1797086839470817280 |
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| author | Jain, H Byrne, H |
| author_facet | Jain, H Byrne, H |
| author_sort | Jain, H |
| collection | OXFORD |
| description | An existing model of tumor growth that accounts for cell cycle arrest and cell death induced by chemotherapy is extended to simulate the response to treatment of a tumor growing in vivo. The tumor is assumed to undergo logistic growth in the absence of therapy, and treatment is administered periodically rather than continuously. Necessary and sufficient conditions for the global stability of the cancer-free equilibrium are derived and conditions under which the system evolves to periodic solutions are determined. © 2012 Elsevier Ltd. All rights reserved. |
| first_indexed | 2024-03-07T02:27:40Z |
| format | Journal article |
| id | oxford-uuid:a62d64bb-f4b1-4595-aba9-b7f7fe923901 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:27:40Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:a62d64bb-f4b1-4595-aba9-b7f7fe9239012022-03-27T02:45:22ZQualitative analysis of an integro-differential equation model of periodic chemotherapyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a62d64bb-f4b1-4595-aba9-b7f7fe923901EnglishSymplectic Elements at Oxford2012Jain, HByrne, HAn existing model of tumor growth that accounts for cell cycle arrest and cell death induced by chemotherapy is extended to simulate the response to treatment of a tumor growing in vivo. The tumor is assumed to undergo logistic growth in the absence of therapy, and treatment is administered periodically rather than continuously. Necessary and sufficient conditions for the global stability of the cancer-free equilibrium are derived and conditions under which the system evolves to periodic solutions are determined. © 2012 Elsevier Ltd. All rights reserved. |
| spellingShingle | Jain, H Byrne, H Qualitative analysis of an integro-differential equation model of periodic chemotherapy |
| title | Qualitative analysis of an integro-differential equation model of periodic chemotherapy |
| title_full | Qualitative analysis of an integro-differential equation model of periodic chemotherapy |
| title_fullStr | Qualitative analysis of an integro-differential equation model of periodic chemotherapy |
| title_full_unstemmed | Qualitative analysis of an integro-differential equation model of periodic chemotherapy |
| title_short | Qualitative analysis of an integro-differential equation model of periodic chemotherapy |
| title_sort | qualitative analysis of an integro differential equation model of periodic chemotherapy |
| work_keys_str_mv | AT jainh qualitativeanalysisofanintegrodifferentialequationmodelofperiodicchemotherapy AT byrneh qualitativeanalysisofanintegrodifferentialequationmodelofperiodicchemotherapy |