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The proposed progress variable can be easily calculated from simulations as a post-processing step, independent of the modeling approach, allowing for consistent comparison of measured and modeled turbulent flame results.
From a mathematical point of view, any modeling approach allowing to compute the input-output map in (2) can be directly cast in our general framework.
Moreover, it has been suggested that innovation may come from combining a systems biology and a PK/PD modeling approach; allowing to perform a quantitative analysis of the dynamic interactions between a drug (or drugs) and a biological system.
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The inverse modeling approach allowed an estimation of the hydraulic properties of the bedrock layer where no measurement was available.
However, unlike the models mentioned above, my modeling approach allowed to simulate and track the continuous trajectories of expression patterns in one-dimensional virtual syncytial embryos, over developmentally relevant time scales.
This integrated 3D quantitation imaging protocol and computational modeling approach allowed cell-specific compartment models of the signaling pathways to be constructed and analyzed.
The normalized-Hill differential equation modeling approach allows quantitative prediction of network functional relationships and dynamics, even in systems with limited biochemical data.
Our nonparametric multilevel modeling approach allowed the latent health state prevalences to vary between households with the advantage of less strong distributional assumptions and computational burden for the random effects at the household level (Web Appendix).
Our novel, noninvasive modeling approach allowed us to calculate both EGP and gut glucose absorption in pregnant women, which to the best of our knowledge has never been done before.
This modeling approach allowed for examination of the effects of covariates of interest at various levels: between times (within individual), between individuals, and between other levels of spatial aggregation (e.g., school or community).
Our proposed modelling approach allows the estimation of aesthetic values in spatial and qualitative terms for most viewpoints in the European Alps.
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