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Most importantly, the single step model simplification described in [ 2] is extended to a multi-step model simplification work flow in which new estimations are carried out after each model simplification step.
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Based on the model assumptions and the simplifications described above, we propose a model structure, which directly corresponds to the scheme in Figure 1, to represent the dynamics of Nox1 in VSMCs.
All statistical analyses were computed using the free software R (http://www.r-project.org/) using methods, tests and model simplification procedures as described in Crawley [35].
Algebraic manipulations are described as equivalence transformations and model simplification and enrichment assumptions as general modeling transformations acting on process models.
Conversely, Models S1, S2, and S3 are called the simplified models, and they are derived from simplifications of Model 0, as described in "Models S1 S3: Simplified source models".
The developed MINLP formulation directly employs a stability analysis constraint and also includes non-linear biophysical constraints to describe homeostasis conditions for metabolite concentrations and protein machinery without any preliminary model simplification (e.g. linlog kinetics approximation).
Model simplification and LDA parameters estimation.
Model simplification was performed using a backward stepwise algorithm.
Model simplification produced lower AIC scores in all cases.
We used a backward model simplification procedure by first fitting saturated models.
Furthermore, ΔTC was the only term that was retained after model simplification (Table 1).
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