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This technology relies on random sampling of constraints, and provides a powerful means for solving a variety of design problems in systems and control.
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Monte Carlo sampling of constraint-based metabolic models can be used to generate sets of biochemically feasible flux distributions that obey measured uptake and secretion rate constraints [ 24].
By contrast, assessments of the implications of observation error (arising from sampling limitations) for model precision are often lacking, but see [6], [7], perhaps due to a widespread acknowledgement of the ubiquity of sampling constraints [8].
In summary, using an unbiased non-optimized ACHR method allows for the sampling of solution space of constraint-based models, which can shape the global network properties and provide insights into the physiological metabolism of microorganisms under specific conditions.
We first describe a problem for contemporaneous sampling in terms of constraint trees.
The table summaries the complexity of the counting algorithms, where n is the sample size, k is the number of constraints, and m is the number of sampling time‐points.
Because (27) involves an infinite number of constraints, we sample in the frequency domain: (28).
Because of sample size constraints, the total number of exposed and dead larvae from each group of localities (i.e. rural vs. urban sites) was pooled and used as the response variable in generalized linear models (GLMs) with a binomial errors structure, while ammonia concentration was fitted as the explanatory variable.
The reason for sampling across constraints instead of aggregating all models is that incorrect models which happen to have a good surface contact can exclude acceptable models from the set of retained models.
In GEI analysis of QT, the range of τ values of interest is small because of sample size constraints, which limits the computational complexity from becoming exponentially large.
It addresses these problems by replacing the chance constraint with a finite number of sampled constraints (scenarios).
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