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Engineering Commons

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City University of New York (CUNY)

Dissertations and Theses

2016

Cancer

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Discrete Model For Cancer Tumor Growth And Effect Of Chemotherapy, Karim Virani Jan 2016

Discrete Model For Cancer Tumor Growth And Effect Of Chemotherapy, Karim Virani

Dissertations and Theses

Many mathematical models have focused on growth of a single tumor with their spreading rate with some have included its metastasis. Some of the earlier models focus on exponential growth and its shift with time on to a linear model. The Gompertzian model involves a quadratic terms and that limit growth. We looked into Iwata et al paper it discusses a different model and takes into account the growth and metastasis of a tumor population but does not look into tumor shrinking or chemotherapy. Our new model focuses on the extending Iwata et al model to take into account tumor …