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The smeared model predicts relatively simple behaviour, in which the only conspicuous features are associated with coincidence effects with the two types of structural wave allowed by the partition model, and internal resonances of the air between the panels.
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The model simulations show that the observed non-linear kinetics can be adequately modeled by the monomer partition model.
Furthermore, I also demonstrate increased power and mapping resolution for MANTRA over random-effects meta-analysis when the pattern of allelic effects between populations is well captured by the Bayesian partition model.
Conversely, under M1, population-specific allelic effects are determined by the Bayesian partition model.
The accuracy of classification trees generated by the recursive partitioning model was assessed against the latent class predictions and endoscopist indication; sensitivities, specificities, positive and negative predicative values (PPV, NPV) were computed.
Furthermore, the unconstrained MANTRA analysis demonstrated greater precision for fine-mapping than the random-effect analysis (K = N), unless the pattern of heterogeneity in allelic effects between populations is poorly represented by the prior Bayesian partition model.
The results of the simulation study also highlight advantages of the hybrid MANTRA analysis over random-effects meta-analysis, both in terms of power and localization of causal variants, when heterogeneity in allelic effects is well represented by the prior Bayesian partition model.
These results suggest that the unconstrained MANTRA analysis has greatest gains in power over the random-effect analysis when the pattern of heterogeneity in allelic effects between populations is well represented by the prior Bayesian partition model, and when there are fewer clusters.
The branch-and-bound algorithm relies on lower bounds provided by a Lagrangian relaxation of the arc-flow model, while the branch-and-price-and-cut algorithm exploits lower bounds from the linear programming relaxation of the set partition model strengthened by a family of valid inequalities.
Myoglobin-, DNC-melittin and melittin-zwitterionic associations are described by a partition model, modulated by electrostatic charging of membrane as protein accumulates at interface.
In order to address this challenge, I have developed novel transethnic meta-analysis methodology that takes account of the expected similarity in allelic effects between the most closely related populations by means of a Bayesian partition model [Denison and Holmes, 2001; Knorr-Held and Rasser, 2000].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com