کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1172914 1491351 2016 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extended Parker–Sochacki method for Michaelis–Menten enzymatic reaction model
ترجمه فارسی عنوان
روش توسعه یافته Parker-Sochacki برای مدل واکنش آنزیمی Michaelis-Menten
کلمات کلیدی
پارکر سچاکی؛ Michaelis-Menten؛ مدل واکنش آنزیمی؛ تقریب پد؛ Sumudu transformODE، معادله دیفرانسیل معمولی؛ روش PSM، Parker-Sochacki؛ روش RKM، روش Runge-Kutta؛ EPSM، روش Parker-Sochacki توسعه یافته
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی آنالیزی یا شیمی تجزیه
چکیده انگلیسی


• Parker-Sochacki method is utilized to obtain power series solutions for Michaelis-Menten enzymatic model.
• The method is extended through the use of a new resummation method to acquire approximate analytical solutions.
• The proposed method does not require a small parameter or an initial solution and it gives a global form for the solution.
• Comparing the results with numerical results proves the applicability and the accuracy of the proposed method.
• The proposed method serves as a basis for solving other nonlinear biochemical reaction models.

In this article, a new approach—namely, the extended Parker–Sochacki method (EPSM)—is presented for solving the Michaelis–Menten nonlinear enzymatic reaction model. The Parker–Sochacki method (PSM) is combined with a new resummation method called the Sumudu–Padé resummation method to obtain approximate analytical solutions for the model. The obtained solutions by the proposed approach are compared with the solutions of PSM and the Runge–Kutta numerical method (RKM). The comparison proves the practicality, efficiency, and correctness of the presented approach. It serves as a basis for solving other nonlinear biochemical reaction models in the future.

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ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Analytical Biochemistry - Volume 496, 1 March 2016, Pages 50–54
نویسندگان
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