Serhani, M. and Essaadi, H. and Kassara, K. and Boutoulout, A. (2019) Control by Viability in a Chemotherapy Cancer Model. Acta Biotheoretica, 67 (3). pp. 177-200.

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Abstract

The aim of this study is to provide a feedback control, called the Chemotherapy Protocol Law, with the purpose to keep the density of tumor cells that are treated by chemotherapy below a “tolerance level” Lc, while retaining the density of normal cells above a “healthy level” Nc. The mathematical model is a controlled dynamical system involving three nonlinear differential equations, based on a Gompertzian law of cell growth. By evoking viability and set-valued theories, we derive sufficient conditions for the existence of a Chemotherapy Protocol Law. Thereafter, on a suitable viability domain, we build a multifunction whose selections are the required Chemotherapy Protocol Laws. Finally, we propose a design of selection that generates a Chemotherapy Protocol Law. © 2019, Springer Nature B.V.

Item Type: Article
Uncontrolled Keywords: cancer; cell component; chemotherapy; growth; model; tumor; viability, antineoplastic agent, biological model; cell survival; drug effect; human; neoplasm; pathology; theoretical model; tumor volume, Antineoplastic Agents; Cell Survival; Humans; Models, Biological; Models, Theoretical; Neoplasms; Tumor Burden
Subjects: Agricultural and Biological Sciences
Divisions: SCIENTIFIC PRODUCTION > Agricultural and Biological Sciences
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:44
URI: http://eprints.umi.ac.ma/id/eprint/1293

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