Qualitative analysis of an integro-differential equation model of periodic chemotherapy

Handle URI:
http://hdl.handle.net/10754/599421
Title:
Qualitative analysis of an integro-differential equation model of periodic chemotherapy
Authors:
Jain, Harsh Vardhan; Byrne, Helen M.
Abstract:
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.
Citation:
Jain HV, Byrne HM (2012) Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Applied Mathematics Letters 25: 2132–2136. Available: http://dx.doi.org/10.1016/j.aml.2012.04.024.
Publisher:
Elsevier BV
Journal:
Applied Mathematics Letters
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Dec-2012
DOI:
10.1016/j.aml.2012.04.024
Type:
Article
ISSN:
0893-9659
Sponsors:
The authors thank Profs Avner Friedman and Marty Golubitsky and Drs Rachel Leander and Yunjiao Wang for many helpful discussions. This research has been supported in part by the MBI and the NSF (grant DMS 0931642). This publication is based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
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Full metadata record

DC FieldValue Language
dc.contributor.authorJain, Harsh Vardhanen
dc.contributor.authorByrne, Helen M.en
dc.date.accessioned2016-02-28T05:50:49Zen
dc.date.available2016-02-28T05:50:49Zen
dc.date.issued2012-12en
dc.identifier.citationJain HV, Byrne HM (2012) Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Applied Mathematics Letters 25: 2132–2136. Available: http://dx.doi.org/10.1016/j.aml.2012.04.024.en
dc.identifier.issn0893-9659en
dc.identifier.doi10.1016/j.aml.2012.04.024en
dc.identifier.urihttp://hdl.handle.net/10754/599421en
dc.description.abstractAn 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.en
dc.description.sponsorshipThe authors thank Profs Avner Friedman and Marty Golubitsky and Drs Rachel Leander and Yunjiao Wang for many helpful discussions. This research has been supported in part by the MBI and the NSF (grant DMS 0931642). This publication is based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectChemotherapyen
dc.subjectNonautonomous logistic growthen
dc.subjectPeriodic orbiten
dc.subjectStability analysisen
dc.titleQualitative analysis of an integro-differential equation model of periodic chemotherapyen
dc.typeArticleen
dc.identifier.journalApplied Mathematics Lettersen
dc.contributor.institutionOhio State University, Columbus, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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