Sentence examples for and substantiated using a from inspiring English sources

The framework is described and substantiated using a number of VAs that represent and communicate mathematical ideas.

This was further substantiated using a Cox regression model, which revealed that it was significantly associated with relapse and poor survival in a subtype independent manner (relapse patients, hazard ratio = 1.28, P < 8 × 10-3; all patients, hazard ratio = 1.45, P < 6.7 × 10-7).

The ancestral results were further explained and substantiated using New Hampshire census data from 1870 to 1930 when the largest waves of European immigrants came to the area.

This hypothesis was further substantiated using NS398, a specific COX-2 inhibitor for lymphocyte proliferation.

This observation was further substantiated using PCA and hierarchical clustering (Additional file 3), where samples primarily clustered by tissue.

Notably, the interaction of position 268 with the TCR (A268D) was further substantiated using A268V6 and A268N6 as additional APLs (data not shown).

Furthermore, the molecular mass, integrity and purity of one batch of each compound were substantiated using high-performance liquid chromatography and mass spectrophotometry.

A-domain specificities were also substantiated using phylogenetic analysis (Additional file 3: Figure S2).

For the first time, these findings are substantiated using approximately unbiased tests and non-scaled bootstrap probability tests that compare alternative hypotheses.

The developed procedure was numerically substantiated using the predicted extent of damage to an actual protection structure.

The local belief that the parish church at North Walsham was the scene of a bloodbath after the battle cannot be substantiated using historical documents.