Next Article in Journal
Closed-Loop Characterization of Neuronal Activation Using Electrical Stimulation and Optical Imaging
Next Article in Special Issue
On the Use of Multivariate Methods for Analysis of Data from Biological Networks
Previous Article in Journal
Outlier Detection in Dynamic Systems with Multiple Operating Points and Application to Improve Industrial Flare Monitoring
Open AccessFeature PaperArticle

Structural Properties of Dynamic Systems Biology Models: Identifiability, Reachability, and Initial Conditions

Bioprocess Engineering Group, IIM-CSIC, Vigo 36208, Spain
*
Author to whom correspondence should be addressed.
Processes 2017, 5(2), 29; https://doi.org/10.3390/pr5020029
Received: 12 May 2017 / Revised: 26 May 2017 / Accepted: 31 May 2017 / Published: 2 June 2017
(This article belongs to the Special Issue Biological Networks)
Abstract: Dynamic modelling is a powerful tool for studying biological networks. Reachability (controllability), observability, and structural identifiability are classical system-theoretic properties of dynamical models. A model is structurally identifiable if the values of its parameters can in principle be determined from observations of its outputs. If model parameters are considered as constant state variables, structural identifiability can be studied as a generalization of observability. Thus, it is possible to assess the identifiability of a nonlinear model by checking the rank of its augmented observability matrix. When such rank test is performed symbolically, the result is of general validity for almost all numerical values of the variables. However, for special cases, such as specific values of the initial conditions, the result of such test can be misleading—that is, a structurally unidentifiable model may be classified as identifiable. An augmented observability rank test that specializes the symbolic states to particular numerical values can give hints of the existence of this problem. Sometimes it is possible to find such problematic values analytically, or via optimization. This manuscript proposes procedures for performing these tasks and discusses the relation between loss of identifiability and loss of reachability, using several case studies of biochemical networks. View Full-Text
Keywords: identifiability; controllability; reachability; observability; parameter estimation; nonlinear systems; differential geometry identifiability; controllability; reachability; observability; parameter estimation; nonlinear systems; differential geometry
Show Figures

Figure 1

MDPI and ACS Style

Villaverde, A.F.; Banga, J.R. Structural Properties of Dynamic Systems Biology Models: Identifiability, Reachability, and Initial Conditions. Processes 2017, 5, 29.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop