ArticlePloS one2025
Exploring the combined effect of optimally controlled chemo-stem cell therapy on a fractional-order cancer model.
Article in PloS one, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
2 citing papers in PubMed.
- Fractional-order analysis and optimal control of the NERA model: stability, sensitivity, and numerical validation.Scientific reports · 2026Article
- Fractional order modeling of prostate cancer with pulsed treatment and the impact of effector cell killing and cell competition.Scientific reports · 2025Article
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Authors and funding
9 authors.
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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.
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