Sentence examples for model equations used from inspiring English sources

Finally, model graphs of each response were generated to interpret and evaluate the model equations used.

The model equations used to describe the extraction of coffee in a fixed water volume admit approximate solutions due to the existence of two different extraction mechanisms over different timescales.

An overriding issue in the reviews is the "phenomenological" nature of the model equations used in this study.

Besides the computation of H, no further modifications in the standard mixed model equations used in animal breeding have been needed [ 4].

We have presented methodology to construct the relationship matrix and its inverse for honey bee populations, which is required in the mixed model equations used for the estimation of breeding values and genetic parameters.

We have solved the model equations using the spectral relaxation method, and to benchmark our solutions, we compared our results with some limiting cases from the literature.

An analysis of the model equations using the method of moments leads to equations for the mean pulse positions, velocities and rates of spread for long times.

The mathematical model was based on the solution of the fluid flow (Reynolds averaged) and turbulence model equations using a non-orthogonal three-dimensional grid system.

Breeding values were predicted by solving Henderson's mixed model equations, using the R environment [ 11].

To solve the mixed model equations using the generalized least squares solution, the variance components must first be estimated (21 22).

In univariate random effects models, a common practice is to formulate mixed model equations using the ratios of residual variance to variances of the random effects.