Analysis of a mathematical model of periodically pulsed chemotherapy treatment

In this paper, we have considered competition models describing tumor–normal–immune cell interaction with the added effects of periodically pulsed chemotherapy. The parametric conditions needed to prevent relapse following attempts to remove the tumor or tumor metastasis are obtained. The effects of...

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Bibliographic Details
Published inInternational journal of dynamics and control Vol. 5; no. 3; pp. 842 - 857
Main Authors Samanta, G. P., Aíza, Ricardo Gómez, Sharma, Swarnali
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2017
Springer Nature B.V
Subjects
Chemotherapy
Complexity
Computer simulation
Control
Control and Systems Theory
Dynamical Systems
Engineering
Epidemiology
Mathematical models
Reliability analysis
Vibration
Recurrence
Chemotherapy
Acquired resistance
Tumor growth
Induced resistance
Pulse vaccination
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Summary:In this paper, we have considered competition models describing tumor–normal–immune cell interaction with the added effects of periodically pulsed chemotherapy. The parametric conditions needed to prevent relapse following attempts to remove the tumor or tumor metastasis are obtained. The effects of resistant tumor sub-populations are also investigated and recurrence prevention strategies are discussed. Our analytical findings are explained through numerical simulation which show the reliability of our models from the epidemiological point of view.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-015-0204-z