https://doi.org/10.1140/epjp/s13360-024-05308-7
Regular Article
A new approach based on the generalized Bessel polynomials to find optimal solution of hematopoietic stem cells model
1
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, 88186-34141, Shahrekord, Iran
2
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3
Department of Internal Medicine, Shiraz University of Medical Sciences, Shiraz, Iran
Received:
7
April
2024
Accepted:
22
May
2024
Published online:
13
June
2024
Hematopoietic stem cells are essential for a number of biological activities, such as immune system regulation, homeostasis balance maintenance, and inflammation and microbe response. Recently, therapy with these cells has been considered as a potential HIV infection treatment. In this paper a fractional mathematical model in Caputo sense is presented for hematopoietic stem cells based therapy. A new approach based on generalized Bessel polynomials is introduced and using operational matrices, a system of nonlinear equations is obtained. To find the approximate solutions, an optimal problem that minimizes the residual function, must be solved, using Lagrange multipliers. A comparison between generalized Bessel polynomials and other methods is conducted and the results indicate the superiority of the proposed method over other methods.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
