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Abstract

Novel Approaches in Cancer Study

Mathematical Modeling and Analysis of Leukaemia Transmission: Homotopy Perturbation Method

  • Open or ClosePadma S1, Senthamarai R2* and Rajendran L1*

    1Department of Mathematics, AMET Deemed to be university-603112, Chennai, Tamilnadu, India

    2Department of Mathematics, College of Engineering and Technology,SRM Institute of Science and Technology, Kattankulathur – 603 203. Chengulpattu District, Tamilnadu, India

    *Corresponding author: Senthamarai R, Department of Mathematics, College of Engineering and Technology,SRM Institute of Science and Technology, Kattankulathur – 603 203. Chengulpattu District, Tamilnadu, India and Rajendran L, Department of Mathematics, AMET Deemed to be university-603112, Chennai, Tamilnadu, India, Email: senthamr@srmist.edu.in and raj_sms@rediffmail.com

Submission: January 3, 2022 Published: February 8, 2022

DOI: 10.31031/NACS.2022.06.000649

ISSN:2637-773X
Volume6 Issue5

Abstract

Leukaemia is a cancer of the early blood-forming cells. Most often, Leukaemia is a cancer of the white blood cells, but some Leukaemia starts in other blood cell types. This paper discusses two mathematical models: Leukaemia without control and Leukaemia with control. Both models involved a system of nonlinear differential equations. We solve both models by employing the homotopy perturbation method. We propose showing the effectiveness of immune-boosting drugs and immunotherapy to defend Leukaemia cancer cells in the blood.

Keywords: Blood cancer; Leukaemia; Immuno therapy; Nonlinear differential equations; Homotopy perturbation method

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