Set-Valued Control of Cancer by Combination Chemotherapy

Amine Moustafid

doi:10.33187/jmsm.1069549

EN

Set-Valued Control of Cancer by Combination Chemotherapy

Abstract

A mathematical model of ordinary differential equations is considered to analyze the pharmacokinetics of multi-chemotherapeutic drugs and their pharmacodynamic effects on homogeneous tumors. Set-valued analysis is used to design protocols of drug administration and applied to decrease tumor density under their carrying capacity of Gompertz growth and converge to zero.

Keywords

Chemotherapy, Set-valued analysis, Viability theory.

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Amine Moustafid ^*
0000-0002-9121-0745
Morocco

Publication Date

April 30, 2023

Submission Date

February 7, 2022

Acceptance Date

October 27, 2022

Published in Issue

Year 2023 Volume: 6 Number: 1

DOI

https://doi.org/10.33187/jmsm.1069549

IZ

https://izlik.org/JA94AL46GT

APA

Moustafid, A. (2023). Set-Valued Control of Cancer by Combination Chemotherapy. Journal of Mathematical Sciences and Modelling, 6(1), 7-16. https://doi.org/10.33187/jmsm.1069549

AMA

1.Moustafid A. Set-Valued Control of Cancer by Combination Chemotherapy. Journal of Mathematical Sciences and Modelling. 2023;6(1):7-16. doi:10.33187/jmsm.1069549

Chicago

Moustafid, Amine. 2023. “Set-Valued Control of Cancer by Combination Chemotherapy”. Journal of Mathematical Sciences and Modelling 6 (1): 7-16. https://doi.org/10.33187/jmsm.1069549.

EndNote

Moustafid A (April 1, 2023) Set-Valued Control of Cancer by Combination Chemotherapy. Journal of Mathematical Sciences and Modelling 6 1 7–16.

IEEE

[1]A. Moustafid, “Set-Valued Control of Cancer by Combination Chemotherapy”, Journal of Mathematical Sciences and Modelling, vol. 6, no. 1, pp. 7–16, Apr. 2023, doi: 10.33187/jmsm.1069549.

ISNAD

Moustafid, Amine. “Set-Valued Control of Cancer by Combination Chemotherapy”. Journal of Mathematical Sciences and Modelling 6/1 (April 1, 2023): 7-16. https://doi.org/10.33187/jmsm.1069549.

JAMA

1.Moustafid A. Set-Valued Control of Cancer by Combination Chemotherapy. Journal of Mathematical Sciences and Modelling. 2023;6:7–16.

MLA

Moustafid, Amine. “Set-Valued Control of Cancer by Combination Chemotherapy”. Journal of Mathematical Sciences and Modelling, vol. 6, no. 1, Apr. 2023, pp. 7-16, doi:10.33187/jmsm.1069549.

Vancouver

1.Amine Moustafid. Set-Valued Control of Cancer by Combination Chemotherapy. Journal of Mathematical Sciences and Modelling. 2023 Apr. 1;6(1):7-16. doi:10.33187/jmsm.1069549