Simulations with the mathematical model demonstrate the model's behaviour to be consistent with important characteristics of the development of tolerance to repeatedly administered drugs: the gradual decrease in drug effect when tolerance develops, the high sensitivity to small changes in drug dose, the rebound phenomenon and the large reactions following withdrawal in dependence.
This mathematical model demonstrates that there is a tight relationship between SKARS localization and MAPK activity and that, using a few simple assumptions, it is possible to extract the mean MAPK activity of the population from the experimental measurements.
The stress-relaxation tests coupled with mathematical modeling demonstrated to be a powerful tool to study hydrogels' behavior.
The tracer study combining experimental evaluation with mathematical modeling demonstrated the complexity of flow and transport processes in the constructed wetlands which need to be taken into account during interpretation of the determining attenuation processes.
Assuming in Equation 1 that AMPK activation was not affected by the level of glycemia, the mathematical modeling demonstrated that EMD008 caused an upward shift of the linear relationship between glucose disposal and blood glucose concentration without affecting its slope, i.e., EMD008 treatment increased cellular glucose uptake, no matter what the actual level of glycemia is (Figure 2A).
Furthermore, mathematical modeling demonstrated that we have sequenced a sufficient number of M. catarrhalis genomes to have adequately characterized both the core and supragenomes of this pathogen.
A combination of experimental data and mathematical modeling demonstrated that these differing levels of IRF4 decide B cell differentiation by controlling the duration of an obligate transcriptional state promoting Ig diversification: high IRF4 levels shortened this state and favored fast transmission to the plasma cell state.
Experimental data supported by mathematical modeling demonstrated that the degree of procaspase-8 activation at the DISC, which is regulated by c-FLIP proteins, is directly linked to the degree of CD95-mediated induction of MAPKs, highlighting the crucial role of caspase-8 activity in this signaling pathway.
The obtained empirical mathematical models demonstrate that, in general, the bleaching was efficient, achieving pulps with kappa numbers below 10.
