کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6874430 1441161 2018 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application-driven model reduction for the simulation of therapeutic infusion processes in multi-component brain tissue
ترجمه فارسی عنوان
کاهش مدل کاربردی برای شبیه سازی فرایندهای تزریق درمانی در بافت مغزی چند جزء
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی
The present article concerns the problem-specific application of suitable model-reduction techniques to obtain an efficient numerical simulation of multi-component brain tissue. For this purpose, a compact summary of the underlying theoretical multi-component brain-tissue model is initially introduced in the framework of the Theory of Porous Media (TPM). Typically, the straight-forward monolithic solution of the arising coupled system of equations yields immense numerical costs. Therefore, the primary aim of this work is to apply the method of proper orthogonal decomposition (POD) for a simplified model and the POD in combination with the discrete-empirical-interpolation method (DEIM) for a general nonlinear model in order to reduce the required computation time significantly. Several numerical simulations are realised and discussed in terms of efficiency, accuracy and parameter variations. In conclusion, the article presents necessary adaptations of the POD(-DEIM) allowing for their application to (nonlinear) strongly coupled and multi-component models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Science - Volume 24, January 2018, Pages 101-115
نویسندگان
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