Sentence examples for mathematical framework was from inspiring English sources

A mathematical framework was developed for the assessment of batch, repeated-batch and repeated fed-batch extractive fermentations of acetone and butanol or ethanol.

A mathematical framework was developed to estimate stress based forming limit diagram (σ-FLD) from strain based forming limit diagram (ε-FLD) using Hill-48 and Barlat-89 anisotropic plasticity theories incorporating three different strain hardening laws.

A simple mathematical framework was especially provided to model both compression of the external layer of the nerve (epineurium) and the interactions resulting from penetration of the main shaft of the microneedle inside the living nerves.

In this work, the mathematical framework was used to model an inhibitor's effect on cellular growth of a pathogen in different in vitro environments designed to duplicate aspects of the nutritional conditions encountered in the host.

The close agreement between predicted and experimental data [ 53] indicates that the mathematical framework was successful in coupling the three underlying models (inhibition, metabolic network, and population growth) to quantitatively predict the inhibitory effect of sAMS on M. tuberculosis growth in an iron-deficient medium.

The mathematical framework is essentially engineering mathematics, and mainly one will work formally by using the Maruyama notation of fractional order.

A joint mathematical framework is thus missing.

The underlying mathematical framework is that of asymptotic homogenization.

The pertinent mathematical framework is that of asymptotic homogenization.

In addition, some reactive force field models are highlighted, and the mathematical framework is sufficiently described.

Both the system models and the mathematical framework are implemented in MS Excel.