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Analysis of a mathematical model of periodically pulsed chemotherapy treatment

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Abstract

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.

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Acknowledgments

The authors are grateful to the anonymous referees and the Editor-in-Chief (Prof. Jian-Qiao Sun) for their careful reading, valuable comments and helpful suggestions, which have helped them to improve the presentation of this work significantly. The first author likes to thank TWAS, UNESCO and National Autonomous University of Mexico (UNAM) for financial support. He is grateful to Prof. José Antonio Seade Kuri and Prof. Marcelo Aguilar, Institute of Mathematics, National Autonomous University of Mexico for their helps and encouragements.

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Author notes

  1. G. P. Samanta

    Present address: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, India

Authors and Affiliations

  1. Institute of Mathematics, National Autonomous University of Mexico, C.P. 04510, Mexico, D.F., Mexico

    G. P. Samanta & Ricardo Gómez Aíza

  2. Department of Mathematics, Heritage Institute of Technology, Kolkata, 700107, India

    Swarnali Sharma

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  1. G. P. Samanta
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  2. Ricardo Gómez Aíza
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Correspondence to G. P. Samanta.

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Samanta, G.P., Aíza, R.G. & Sharma, S. Analysis of a mathematical model of periodically pulsed chemotherapy treatment. Int. J. Dynam. Control 5, 842–857 (2017). https://doi.org/10.1007/s40435-015-0204-z

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  • DOI: https://doi.org/10.1007/s40435-015-0204-z

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