کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
752629 895448 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Model reduction of multi-scale chemical Langevin equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Model reduction of multi-scale chemical Langevin equations
چکیده انگلیسی

This paper addresses the model reduction problem for a class of stiff chemical Langevin equations that arise as models of biomolecular networks with fast and slow reactions and can be described as continuous Markov processes. Initially, a coordinate transformation is sought that allows the decoupling of fast and slow variables in the model equations. Necessary and sufficient conditions are derived for such a linear transformation to exist, along with an explicit change of variables which achieves the desired decoupling. For the systems for which this step is applicable, the method of adiabatic elimination is applied to determine a representation of the slow dynamics. Theoretical concepts and results are illustrated with simple examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 60, Issue 1, January 2011, Pages 75–86
نویسندگان
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