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Essarrout, Saadeddine, Raghay, Said, Mahani, Zouhir. (1399). Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 8(4), 455-477. doi: 10.22124/jmm.2020.16520.1433
Saadeddine Essarrout; Said Raghay; Zouhir Mahani. "Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions". فیزیولوژی و بیوتکنولوژی آبزیان, 8, 4, 1399, 455-477. doi: 10.22124/jmm.2020.16520.1433
Essarrout, Saadeddine, Raghay, Said, Mahani, Zouhir. (1399). 'Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions', فیزیولوژی و بیوتکنولوژی آبزیان, 8(4), pp. 455-477. doi: 10.22124/jmm.2020.16520.1433
Essarrout, Saadeddine, Raghay, Said, Mahani, Zouhir. Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions. فیزیولوژی و بیوتکنولوژی آبزیان, 1399; 8(4): 455-477. doi: 10.22124/jmm.2020.16520.1433

Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions

Journal of Mathematical Modeling
مقاله 7، دوره 8، شماره 4، آذر 2020، صفحه 455-477    اصل مقاله (960.05 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2020.16520.1433
نویسندگان
Saadeddine Essarrout* 1؛ Said Raghay2؛ Zouhir Mahani1
1Department of science computing, University Ibn Zohr, Agadir, Morocco
2Department of Mathematics, University Cadi Ayyad, Marrakech, Morocco
چکیده
In this paper, we study the pharmacokinetics equation for cisplatin (PKC) with random coefficients and initial conditions using the Stochastic Collocation method. We analyze the regularity of the solution with respect to the random variables.   The error estimate for the Stochastic Collocation method is proved using the regularity result and the error estimate for the Finite Difference method. Then, we provide the overall errors estimate and convergence is achieved as a direct result. Some numerical results are simulated to illustrate the theoretical analysis. We also propose a comparison between the stochastic and determinate solving process of PKC equation where we show the efficiency of our adopted method.
کلیدواژه‌ها
Pharmacokinetics (PK) equation for cisplatin؛ stochastic collocation؛ finite difference method؛ uncertainty quantification
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تعداد مشاهده مقاله: 866
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