Exploring the combined effect of optimally controlled chemo-stem cell therapy on a fractional-order cancer model

This study aims to investigate the effect of fractional order on a novel cancer treatment model in the Caputo sense with chemotherapy and stem cell therapy. The existence of positive solutions, equilibria, and linear stability of the model are examined. The Ulam-Hyers stability of the system is investigated. An optimal treatment schedule is developed to obtain the combined effect of chemotherapy and stem cell therapy on the model. The analytical results are verified through numerical examples. It has been observed that stem cell therapy and effector cells alone cannot eradicate tumor cells effectively. However, in the presence of optimally controlled chemotherapy, there is an effective reduction in the population of tumor cells, while the populations of normal and effector cells progressively grow over time.

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Publication Details

Journal
PLoS ONE
Published
2025-02-13
DOI
https://doi.org/10.1371/journal.pone.0311822
Citations
10
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
13.68
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article

Exploring the combined effect of optimally controlled chemo-stem cell therapy on a fractional-order cancer model

Awatif J. Alqarni, Reem Allogmany, Kaushik Dehingia, Sana Abdulkream Alharbi et al.
10 citations
PLoS ONE
Fractional Differential Equations Solutions
13.68
article

Exploring the combined effect of optimally controlled chemo-stem cell therapy on a fractional-order cancer model

Awatif J. Alqarni, Reem Allogmany, Kaushik Dehingia, Sana Abdulkream Alharbi, Homan Emadifar, Reima Daher Alsemiry, Mona Alsulami, Mounirah Areshi, Mati ur Rahman
article en
10 citations

Abstract

This study aims to investigate the effect of fractional order on a novel cancer treatment model in the Caputo sense with chemotherapy and stem cell therapy. The existence of positive solutions, equilibria, and linear stability of the model are examined. The Ulam-Hyers stability of the system is investigated. An optimal treatment schedule is developed to obtain the combined effect of chemotherapy and stem cell therapy on the model. The analytical results are verified through numerical examples. It has been observed that stem cell therapy and effector cells alone cannot eradicate tumor cells effectively. However, in the presence of optimally controlled chemotherapy, there is an effective reduction in the population of tumor cells, while the populations of normal and effector cells progressively grow over time.

PLoS ONEVol. 20(2)
Jiangsu University (CN), Taibah University (SA), Islamic Azad University of Hamedan (IR), University of Jeddah (SA), Hamedan University of Technology (IR), University of Bisha (SA), Lebanese American University (LB), Near East University (CY), University of Tabuk (SA), Saveetha University (IN), Middle East University (JO)
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Openalex Percentile: Top 1%
Fractional Differential Equations Solutions
13.68
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Exploring the combined effect of optimally controlled chemo-stem cell therapy on a fractional-order cancer model — Awatif J. Alqarni, Reem Allogmany, et al. · PLoS ONE (2025) | TGRS Research Map | TGRS