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Successful MAP design is achieved by the mathematical integration of dynamic produce physiological characteristics, properties of packaging material, coupled with optimum equilibrium atmospheric conditions for the given product.

The orientation estimation algorithm here continuously corrects orientation estimates obtained by mathematical integration of the angular velocity measured using the gyroscopes.

To facilitate the inference of GWAS in pharmacogenomics, we sought to undertake the mathematical integration of the pharmacodynamic (PD) process of drug reactions through computational models.

For instance, Sharma et al. (2011) proposed to use an effective well radius to calculate the shear rate and match the polymer injectivity from very fine-grid simulation results; Li and Delshad (2014) proposed an effective viscosity using mathematical integration of in situ viscosity by assuming a radial velocity distribution within the well block.

Specifically, they point to a key role for the cerebellar nodulus and uvula in the mathematical integration of afferent linear head acceleration signals.

In this study we have shown that the cerebellar nodulus and uvula play an important role in the interaural tVOR: specifically, they contribute to the mathematical integration of head acceleration signals.

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Mathematica® (Wolfram Research) was used for the mathematical analysis and numerical integration of the deterministic models, and also for statistical analysis of stochastic simulations.

Two mathematical models were constructed, based on the numerical integration of differential mass balances written along the extraction bed.

The methods used in this study, especially the mathematical integration method, provide useful estimates of measureable capacitance and have the potential to be used in downhole measurements so long as sufficient calibration is performed.

But, mathematical integration is necessary to handle large amounts of data and model complex biological systems.

They further emphasize that the signal processing capabilities of the cerebellum, in particular mathematical integration, are tailored to the specific requirements for optimal motor control.

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