Sentence examples for mathematical framework needed from inspiring English sources

Both techniques rely on a concrete choice of noise distribution assumption and in this work we have given the mathematical framework needed for their implementation under several distributions, namely Laplace, Gaussian, Beta, Weibull, and MOGE.

The mathematical framework needed to map the amount of drug to the collective growth response of the M. tuberculosis bacterium required that we connect enzyme inhibition kinetics, metabolic network modeling, and bacterial population growth models.

Similarly, our mathematical framework needs to be capable of reproducing the essentiality of the targeted reaction, mycobactin synthesis in the presence of sAMS, for cellular growth of M. tuberculosis in iron-deficient GAST medium.

To quantitatively model this inhibition effect, we needed to assemble the mathematical framework that was specific to this medium and inhibition process.

With the increasing importance of fiber tracking in diffusion tensor images for clinical needs, there has been a growing demand for an objective mathematical framework to perform quantitative analysis of white matter fiber bundles incorporating their underlying physical significance.

The model presented here provides a simple mathematical framework for understanding why all lifestyle change public health efforts need to consider the current value of consumption (as perceived by the consumer) and the impact of patients' discounting future events.

Hence, a new mathematical framework capable of handling both continuous and discrete aspects of hybrid systems is needed.

All parameters needed to calculate cellular growth and growth inhibition from the mathematical framework in Figure 1 have not been experimentally determined.