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Piecewise Fractional-Order Modeling Of The Breast Cancer Epidemiology After The Atezolizumab Treatment

Author

Listed:
  • AYESHA SOHAIL

    (Department of Mathematics, COMSATS University Islamabad, Lahore 54000, Pakistan)

  • ROBIA ARIF

    (Department of Mathematics, COMSATS University Islamabad, Lahore 54000, Pakistan)

  • QURAT UL AIN AZIM

    (Department of Mathematics, COMSATS University Islamabad, Lahore 54000, Pakistan)

  • ALESSANDRO NUTINI

    (��Biology and Biomechanics Division, Centro Studi Attività Motorie, Via di Tiglio 94, loc. Arancio, 55100 Lucca, Italy)

  • KHALED A. GEPREEL

    (��Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

Abstract

In this paper, the therapeutic interactions are discussed with the aid of a mathematical model and piecewise differentiation technique. The model is based on the interaction between cell populations in therapeutic stress and cell populations in neoplastic transformation, referring specifically to triple-negative breast cancer (TNBC). The proposed computational approach provides an opportunity for the qualitative and parametric analysis of the clinical trials in question. The proposed mathematical model is based on the analysis of cell–cell interactions according to a logic that examines pathological stress and its influence on the dynamics of the cell population involved in tumor pathology. Detailed literature review and dynamical analysis of the proposed hypothesis are provided in this paper. The existence and non-negativity of the solutions are exploited, the hypothesis is stabilized; it is then further demonstrated with the aid of the piecewise derivative and the relevant application of the formula of Newton interpolation.

Suggested Citation

  • Ayesha Sohail & Robia Arif & Qurat Ul Ain Azim & Alessandro Nutini & Khaled A. Gepreel, 2022. "Piecewise Fractional-Order Modeling Of The Breast Cancer Epidemiology After The Atezolizumab Treatment," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-12, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22401764
    DOI: 10.1142/S0218348X22401764
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