A robust study of the dynamics of tumor?immune interaction for public health via fractional framework

It is evident that a tumor is a dangerous lump of tissue developed through the uncontrollable division of cells, replacing healthy tissue with abnormal tissue. It is cancerous and spreads through the lymphatic system or blood within the body of a host individual while the human immune system, consis...

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Main Authors: Shutaywi M., Shah Z., Jan R.
Other Authors: 57210147083
Format: Article
Published: Springer Science and Business Media Deutschland GmbH 2025
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author Shutaywi M.
Shah Z.
Jan R.
author2 57210147083
author_facet 57210147083
Shutaywi M.
Shah Z.
Jan R.
author_sort Shutaywi M.
building UNITEN Library
collection Institutional Repository
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
continent Asia
country Malaysia
description It is evident that a tumor is a dangerous lump of tissue developed through the uncontrollable division of cells, replacing healthy tissue with abnormal tissue. It is cancerous and spreads through the lymphatic system or blood within the body of a host individual while the human immune system, consisting of interrelated special cells, tissues, and organs, is employed for the protection of the body from microorganisms, foreign diseases, infections, and toxins. Thus, the conceptualization and understanding of the intersections of tumor?immune cells are valuable. In this article, the natural process of tumor?immune cell interactions is formulated through a mathematical framework. The intricate dynamics of tumor?immune interactions are then represented by means of operators of fractional calculus involving nonlocal and nonsingular kernels. The definitions and basic properties of non-integer derivatives are introduced for the investigation of the proposed system. In addition, a new numerical scheme is introduced for the dynamics, showing the chaos and oscillation of the tumor?immune system. The proposed dynamics of tumor?immune interaction are highlighted with the effect of different input factors. Our findings not only contribute to a thorough comprehension of the complex interactions between input parameters and tumor dynamics, but critical factors that have a major impact on the dynamics are also identified. These outcomes are pivotal for refining and optimizing the proposed system to enhance its predictive accuracy and efficacy in modeling tumor behavior. ? The Author(s) 2024.
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spelling my.uniten.dspace-370542025-03-03T15:47:00Z A robust study of the dynamics of tumor?immune interaction for public health via fractional framework Shutaywi M. Shah Z. Jan R. 57210147083 57194441902 57205596279 It is evident that a tumor is a dangerous lump of tissue developed through the uncontrollable division of cells, replacing healthy tissue with abnormal tissue. It is cancerous and spreads through the lymphatic system or blood within the body of a host individual while the human immune system, consisting of interrelated special cells, tissues, and organs, is employed for the protection of the body from microorganisms, foreign diseases, infections, and toxins. Thus, the conceptualization and understanding of the intersections of tumor?immune cells are valuable. In this article, the natural process of tumor?immune cell interactions is formulated through a mathematical framework. The intricate dynamics of tumor?immune interactions are then represented by means of operators of fractional calculus involving nonlocal and nonsingular kernels. The definitions and basic properties of non-integer derivatives are introduced for the investigation of the proposed system. In addition, a new numerical scheme is introduced for the dynamics, showing the chaos and oscillation of the tumor?immune system. The proposed dynamics of tumor?immune interaction are highlighted with the effect of different input factors. Our findings not only contribute to a thorough comprehension of the complex interactions between input parameters and tumor dynamics, but critical factors that have a major impact on the dynamics are also identified. These outcomes are pivotal for refining and optimizing the proposed system to enhance its predictive accuracy and efficacy in modeling tumor behavior. ? The Author(s) 2024. Article in press 2025-03-03T07:47:00Z 2025-03-03T07:47:00Z 2024 Article 10.1140/epjs/s11734-024-01210-6 2-s2.0-85197559528 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85197559528&doi=10.1140%2fepjs%2fs11734-024-01210-6&partnerID=40&md5=a55bbed08f8ecbb61a0aece6ea2c4e57 https://irepository.uniten.edu.my/handle/123456789/37054 Springer Science and Business Media Deutschland GmbH Scopus
spellingShingle Shutaywi M.
Shah Z.
Jan R.
A robust study of the dynamics of tumor?immune interaction for public health via fractional framework
title A robust study of the dynamics of tumor?immune interaction for public health via fractional framework
title_full A robust study of the dynamics of tumor?immune interaction for public health via fractional framework
title_fullStr A robust study of the dynamics of tumor?immune interaction for public health via fractional framework
title_full_unstemmed A robust study of the dynamics of tumor?immune interaction for public health via fractional framework
title_short A robust study of the dynamics of tumor?immune interaction for public health via fractional framework
title_sort robust study of the dynamics of tumor?immune interaction for public health via fractional framework
url_provider http://dspace.uniten.edu.my/