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Stability of Tumor Growth Under Immunotherapy: A Computational Study

Sandeep Singh

Department of CSE&IT, The NorthCap University, Gurgaon 122017, India

E-mail Address: ssandeep3@gmail.com

Corresponding author.

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Prabha Sharma

Department of CSE&IT, The NorthCap University, Gurgaon 122017, India

E-mail Address: prabha22@gmail.com

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, and

Phool Singh

Department of Applied Sciences, The NorthCap University, Gurgaon 122017, India

E-mail Address: drphoolsinghmaths@gmail.com

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https://doi.org/10.1142/S1793048017500047Cited by:4 (Source: Crossref)

Abstract

We present a mathematical model to study the growth of a solid tumor in the presence of regular doses of lymphocytes. We further extend it to take care of the periodic behavior of the lymphocytes, which are used for stimulating the immune system. Cell carrying capacity has been specified and a cell kill rate under immunotherapy is used to take care of how different metabolisms will react to the treatment. We analyze our model with respect to its stability and its sensitivity to the various parameters used.

Keywords:

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