کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4500584 1320006 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner Bases
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner Bases
چکیده انگلیسی

The parameter identifiability problem for dynamic system ODE models has been extensively studied. Nevertheless, except for linear ODE models, the question of establishing identifiable combinations of parameters when the model is unidentifiable has not received as much attention and the problem is not fully resolved for nonlinear ODEs. Identifiable combinations are useful, for example, for the reparameterization of an unidentifiable ODE model into an identifiable one. We extend an existing algorithm for finding globally identifiable parameters of nonlinear ODE models to generate the ‘simplest’ globally identifiable parameter combinations using Gröbner Bases. We also provide sufficient conditions for the method to work, demonstrate our algorithm and find associated identifiable reparameterizations for several linear and nonlinear unidentifiable biomodels.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 222, Issue 2, December 2009, Pages 61–72
نویسندگان
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