期刊
JOURNAL OF SYMBOLIC COMPUTATION
卷 63, 期 -, 页码 46-67出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsc.2013.11.002
关键词
Identifiability; Compartment models; Reparametrization
资金
- David and Lucille Packard Foundation
- US National Science Foundation [DMS 0954865]
Structural identifiability concerns finding which unknown parameters of a model can be quantified from given input output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can take on an infinite number of values and yet yield the same input output data. We use commutative algebra and graph theory to study a particular class of unidentifiable models and find conditions to obtain identifiable scaling reparametrizations of these models. Our main result is that the existence of an identifiable scaling reparametrization is equivalent to the existence of a scaling reparametrization by monomial functions. We provide an algorithm for finding these reparametrizations when they exist and partial results beginning to classify graphs which possess an identifiable scaling reparametrization. (C) 2013 Elsevier B.V. All rights reserved.
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