Optimal Approximation of Fractional Order Brain Tumor Model Using Generalized Laguerre Polynomials

Z. Avazzadeh; H. Hassani; M. J. EbadiP. AgarwalM. PoursadeghfardE. Naraghirad

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Optimal Approximation of Fractional Order Brain Tumor Model Using Generalized Laguerre Polynomials

机译：Optimal Approximation of Fractional Order Brain Tumor Model Using Generalized Laguerre Polynomials

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A brain tumor occurs when abnormal cells form within the brain. Glioblastoma (GB) is an aggressive and fast-growing type of brain tumor that invades brain tissue or spinal cord. GB evolves from astrocytic glial cells in the central nervous system. GB can occur at almost any age, but the occurrence increases with advancing age in older adults. Its symptoms may include nausea, vomiting, headaches, or even seizures. GB, formerly known as glioblastoma multiforme, currently has no cure with a high rate of resistance to therapy in clinical treatment. However, treatments can slow tumor progression or alleviate the signs and symptoms. In this paper, a fractional order brain tumor model was considered. The optimal solution of the model was obtained using an optimization method based on operational matrices. The solution to the problem under study was expanded in terms of generalized Laguerre polynomials (GLPs). The study problem was shifted to a system of nonlinear algebraic equations by the use of Lagrange multipliers combined with operational matrices based on GLPs. The analysis of convergence was discussed. In the end, some numerical examples were presented to justify theoretical statements along with the patterns of biological behavior.

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《Iranian Journal of Science》 |2023年第2期|501-513|共13页
作者
Z. Avazzadeh; H. Hassani; M. J. EbadiP. AgarwalM. PoursadeghfardE. Naraghirad;
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作者单位

Department of Mathematical Sciences, University of South Africa, Florida, South Africa;

Anand International College of Engineering, Agra Road, Jaipur, Rajasthan 303012, India;

Department of Mathematics, Chabahar Maritime University, Chabahar, IranAnand International College of Engineering, Agra Road, Jaipur, Rajasthan 303012, India,International Center for Basic and Applied Sciences, Jaipur 302029, India,Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow 1171Clinical Neurology Research Center, Shiraz University of Medical Sciences, Shiraz, IranDepartment of Mathematics, Yasouj University, Yasouj, Iran;

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正文语种英语
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Brain tumor; Glioblastoma multiforme; Generalized Laguerre polynomials; Optimization method;

Optimal Approximation of Fractional Order Brain Tumor Model Using Generalized Laguerre Polynomials

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