title: Using constraints and their value for optimization of large ODE systems.
abstract: We provide analytical tools to facilitate a rigorous assessment of the quality and value of the fit of a complex model to data. We use this to provide approaches to model fitting, parameter estimation, the design of optimization functions and experimental optimization. This is in the context where multiple constraints are used to select or optimize a large model defined by differential equations. We illustrate the approach using models of circadian clocks and the NF-κB signalling system.
authors: Sainsbury Laboratory, University of Cambridge, Cambridge CB2 1LR, UK.
authors: Mirela
authors: M
authors: Domijan
authors: Warwick Systems Biology Centre and Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK d.a.rand@warwick.ac.uk.
authors: David A
authors: http://orcid.org/0000-0002-2217-3274
authors: DA
authors: Rand
mesh_terms: D000465:Algorithms; D017360:Arabidopsis / Q000378:metabolism; D001499:Bayes Theorem; D057906:Circadian Clocks; D003198:Computer Simulation; D003593:Cytoplasm / Q000378:metabolism; D017343:Genes, Plant; D006801:Humans; D016013:Likelihood Functions; D015233:Models, Statistical; D009154:Mutation; D016328:NF-kappa B / Q000378:metabolism*; D009991:Oscillometry / Q000379:methods*; D018521:Plant Physiological Phenomena; D010944:Plants / Q000378:metabolism; D012333:RNA, Messenger / Q000378:metabolism; D015398:Signal Transduction; D013269:Stochastic Processes; D049490:Systems Biology
chemical_list: D016328:NF-kappa B; D012333:RNA, Messenger
keywords: circadian clocks; experimental optimization; signalling systems; statistical estimation; systems biology models