ArticleComputational and mathematical methods in medicine2022
Modeling and Analysis of Breast Cancer with Adverse Reactions of Chemotherapy Treatment through Fractional Derivative.
Article in Computational and mathematical methods in medicine, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed, 40 citations in OpenAlex.
- Numerical solutions for norovirus epidemic spread: implications for public health control.Scientific reports · 2025Article
- Trajectories and influencing factors of social anxiety in postoperative breast cancer patients.BMC psychiatry · 2024Article
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- Fractional-Order Epidemic Model for Measles Infection.Scientifica · 2024Article
- Mathematical study of the dynamics of lymphatic filariasis infection via fractional-calculus.European physical journal plus · 2023Article
- Modeling the effects of vaccination, nucleic acid testing, and face mask wearing interventions against COVID-19 in large sports events.Frontiers in public health · 2022Article
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Authors and funding
6 authors at 5 institutions in 4 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The abnormal growth of cells in the breast is called malignancy or breast cancer; it is a life-threatening and dangerous cancer in women around the world. In the treatment of cancer, the doctors apply different techniques to stop cancer cell development, remove cancer cells through surgery, or kill cancer cells. In chemotherapy treatment, powerful drugs are used to kill abnormal cells; however, it has adverse reactions on the patient heart which is called cardiotoxicity. In this paper, we formulate the dynamics of cancer in the breast with adverse reactions of chemotherapy treatment on the heart of a patient in the fractional framework to visualize its dynamical behaviour. We listed the fundamental results of the fractional calculus for the analysis of our model. The model is then analyzed for the basic properties, and the existence and uniqueness of the proposed breast cancer system are investigated through fixed point theory. Furthermore, the Adams-Bashforth numerical technique is presented for the solution of fractional-order system to illustrate the time series of breast cancer model. The dynamical behaviour of different stages of breast cancer is then highlighted numerically to show the effect of fractional-order
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