title: A simple work flow for biologically inspired model reduction--application to early JAK-STAT signaling.
abstract: BACKGROUND
  Modeling of biological pathways is a key issue in systems biology. When constructing a model, it is tempting to incorporate all known interactions of pathway species, which results in models with a large number of unknown parameters. Fortunately, unknown parameters need not necessarily be measured directly, but some parameter values can be estimated indirectly by fitting the model to experimental data. However, parameter fitting, or, more precisely, maximum likelihood parameter estimation, only provides valid results, if the complexity of the model is in balance with the amount and quality of the experimental data. If this is the case the model is said to be identifiable for the given data. If a model turns out to be unidentifiable, two steps can be taken. Either additional experiments need to be conducted, or the model has to be simplified.
  
  
  RESULTS
  We propose a systematic procedure for model simplification, which consists of the following steps: estimate the parameters of the model, create an identifiability ranking for the estimated parameters, and simplify the model based on the identifiability analysis results. These steps need to be applied iteratively until the resulting model is identifiable, or equivalently, until parameter variances are small. We choose parameter variances as stopping criterion, since they are concise and easy to interpret. For both, the parameter estimation and the calculation of parameter variances, multi-start parameter estimations are run on a parallel cluster. In contrast to related work in systems biology, we do not suggest simplifying a model by fixing some of its parameters, but change the structure of the model.
  
  
  CONCLUSIONS
  We apply the proposed approach to a model of early signaling events in the JAK-STAT pathway. The resulting model is not only identifiable with small parameter variances, but also shows the best trade-off between goodness of fit and model complexity.
authors.affiliation: Automatic Control and Systems Theory, Ruhr University Bochum, D-44801 Bochum, Germany.
authors.forename: Tom
authors.initials: T
authors.lastname: Quaiser
authors.forename: Anna
authors.initials: A
authors.lastname: Dittrich
authors.forename: Fred
authors.initials: F
authors.lastname: Schaper
authors.forename: Martin
authors.initials: M
authors.lastname: Mönnigmann
mesh_terms: D000704:Analysis of Variance; D053612:Janus Kinases / Q000378:metabolism; D016013:Likelihood Functions; D008954:Models, Biological; D050791:STAT Transcription Factors / Q000378:metabolism; D015398:Signal Transduction / Q000235:genetics / Q000502:physiology*; D049490:Systems Biology / Q000379:methods*; D057188:Workflow
chemical_list: D050791:STAT Transcription Factors; D053612:Janus Kinases