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In the first method, we restricted our test-set to pairs age-matched within ±3 and ±1 years, as defined above.
Ideally the results would display both a low mean and a low standard deviation, as this indicates that the majority of TF's motifs are close to an enrichment score of 0. For the evaluation of ChIP-Seq datasets with the HADB method, we restricted to those datasets for which we had a PWM for the ChIP'd TF.
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To allow comparisons across results obtained with different methods, we restricted the analysis to adults aged 15 49 years.
In order to derive hybridizable discontinuous Galerkin method, we restrict the modal problem to any element (kappainmathcal{T}_{h}) not the entire computational domain.
As explained in Methods, we restricted our analysis to the 42683 reporters labeled as being on an autosome or on the X chromosome.
While several studies have tackled already microRNA-derived networks of interacting proteins both in physiological and disease processes [ 13, 47, 48], they usually combine both experimental and predicted targets, whereas we found the latter highly non-reliable, depending on the actual prediction method, therefore we restricted our study to experimentally verified microRNA targets only.
As discussed in details in the Methods section, we restricted our study to a total of 10492 mRNAs, 311 miRNAs and 833 lncRNAs.
For this method, we employed restricted cubic splines with five knots (evenly spaced with regard to the distribution of uncensored log survival times) to model the baseline hazard, and restricted cubic splines with one knot (placed at the median of the distribution of uncensored log survival times) to allow the HR for 2D : 4D measures to vary with age.
We should note that, as a numerical method, we are restricted to solving problems over a finite domain.
Since fundoplication is by far the most commonly used method for ARS, we restricted our analyses to this type of operation.
In order to avoid omitted variable bias, we use the following method: firstly, we restrict our sample to rural areas.
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