Optimality, identifiability, and sensitivity
نویسندگان
چکیده
منابع مشابه
Optimality, identifiability, and sensitivity
Around a solution of an optimization problem, an “identifiable” subset of the feasible region is one containing all nearby solutions after small perturbations to the problem. A quest for only the most essential ingredients of sensitivity analysis leads us to consider identifiable sets that are “minimal”. This new notion lays a broad and intuitive variational-analytic foundation for optimality c...
متن کاملEfficient Behavior of Photosynthetic Organelles via Pareto Optimality, Identifiability and Sensitivity Analysis - Appendix Supplementary Information
The aspartate-derived amino-acid pathway is useful to analyze the regulatory mechanisms in branched metabolic pathways. This pathway accounts for the distribution of the carbon flux from Aspartate (Asp) into the branches responsible for the synthesis of Lysine (Lys), Threonine (Thr), Methionine ∗To whom correspondence should be addressed †Dept. of Mathematics and Computer Science University of ...
متن کاملEfficient behavior of photosynthetic organelles via Pareto optimality, identifiability, and sensitivity analysis.
In this work, we develop methodologies for analyzing and cross comparing metabolic models. We investigate three important metabolic networks to discuss the complexity of biological organization of organisms, modeling, and system properties. In particular, we analyze these metabolic networks because of their biotechnological and basic science importance: the photosynthetic carbon metabolism in a...
متن کاملSensitivity, robustness, and identifiability in stochastic chemical kinetics models.
We present a novel and simple method to numerically calculate Fisher information matrices for stochastic chemical kinetics models. The linear noise approximation is used to derive model equations and a likelihood function that leads to an efficient computational algorithm. Our approach reduces the problem of calculating the Fisher information matrix to solving a set of ordinary differential equ...
متن کاملGlobal Sensitivity and Identifiability Implications in Systems Biology
In systems biology, a common approach to model biological processes is to use large systems of differential equations.The associated parameter estimation problem requires to prior handle identifiability and sensitivity issues in a practical biological framework. The lack of method to assess global practical identifiability has leaded us to analyze and establish bridges between global sensitivit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2013
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-013-0730-4