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Research Article

Application Of Integro-differential Equation In Periodic Chemotherapy


Author(s): T.Henson , J.Surendrakumari
Affiliation: PG & Research Department of Mathematics St.Joseph’s College of Arts & Science (Autonomous) Cuddalore,(India). Email: thenson1967@gmail.com
Year of Publication: 2014
Source: International Journal of Computing Algorithm
     
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Citation: T.Henson, J.Surendrakumari. "Application Of Integro-differential Equation In Periodic Chemotherapy." International Journal of Computing Algorithm 3.3 (2014): 229-231.

Abstract:
In this paper, the presentation will be on existing model called integro-differential equation of tumor growth that accounts for cell cycle arrest and cell death induced by periodic chemotherapy. 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.


Keywords Chemotherapy, logistic growth, delay differential, periodic solution, stability analysis.


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@article{App1497022, author = {T.Henson,J.Surendrakumari}, title = {Application Of Integro-differential Equation In Periodic Chemotherapy}, journal={International Journal of Computing Algorithm}, volume={3}, issue={3}, issn = {2278-2397}, year = {2014}, publisher = {Scholarly Citation Index Analytics-SCIA}

  • [1] Michiels,“Stability and stabilization of time-delay systems”,Aneigen value based approach ISBN 78-0-89871-632-0, 2007.
  • [2] J.C.Panetta, “A Logistic model of periodic chemotherapy with drug resistence”,Appl.Math1997.
  • [3] A.Swierniak,A.Polanski and M.Kimmel,”optimal control problems arising in cell cycle specific cancer chemotherapy”, cell proliferation, 29, pp.117-139,1996.
  • [4] J.C.Panetta”, A logistic Model of Periodic chemotherapy”, Appl.Math.1995.
  • [5] VangipuramLakshmikantham,M.RamaMohanaRao,”Theory of Integro-Differential Equations,” CRC press,1995.
  • [6] A.Swierniak,”cell cycle as an object of control”,41-54,1995.
  • [7] N.MacDonald, “Time Delay differential in simple models”,1976.
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