Title
Parameter optimization in S-system models.
Abstract
The inverse problem of identifying the topology of biological networks from their time series responses is a cornerstone challenge in systems biology. We tackle this challenge here through the parameterization of S-system models. It was previously shown that parameter identification can be performed as an optimization based on the decoupling of the differential S-system equations, which results in a set of algebraic equations.A novel parameterization solution is proposed for the identification of S-system models from time series when no information about the network topology is known. The method is based on eigenvector optimization of a matrix formed from multiple regression equations of the linearized decoupled S-system. Furthermore, the algorithm is extended to the optimization of network topologies with constraints on metabolites and fluxes. These constraints rejoin the system in cases where it had been fragmented by decoupling. We demonstrate with synthetic time series why the algorithm can be expected to converge in most cases.A procedure was developed that facilitates automated reverse engineering tasks for biological networks using S-systems. The proposed method of eigenvector optimization constitutes an advancement over S-system parameter identification from time series using a recent method called Alternating Regression. The proposed method overcomes convergence issues encountered in alternate regression by identifying nonlinear constraints that restrict the search space to computationally feasible solutions. Because the parameter identification is still performed for each metabolite separately, the modularity and linear time characteristics of the alternating regression method are preserved. Simulation studies illustrate how the proposed algorithm identifies the correct network topology out of a collection of models which all fit the dynamical time series essentially equally well.
Year
DOI
Venue
2008
10.1186/1752-0509-2-35
BMC systems biology
Keywords
Field
DocType
computer simulation,system biology,gene expression profiling,biological network,network topology,systems biology,signal transduction,system modeling,search space,inverse problem,proteome,eigenvectors,time series,algorithms,bioinformatics,multiple regression,reverse engineering,linear time
Time series,Parametrization,Computer science,Biological network,Decoupling (cosmology),Systems biology,Algebraic equation,Inverse problem,Bioinformatics,Sequential quadratic programming
Journal
Volume
Issue
ISSN
2
1
1752-0509
Citations 
PageRank 
References 
35
1.53
7
Authors
6
Name
Order
Citations
PageRank
Marco Vilela1865.18
I-Chun Chou2643.73
Susana Vinga353537.72
Ana Tereza R Vasconcelos417611.60
Eberhard O. Voit533029.03
Jonas S Almeida673142.25