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With the current void of precise knowledge regarding the chains of infections that led to the in-hospital and inter-hospital infections in Taiwan, mathematical modeling gives the best hope of understanding exactly how the cluster infections occurred, so we can better meet the challenges of future epidemics.
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The resulting solution of this mathematical model gives the optimal pressure drops and film heat-transfer coefficients of the streams.
Reasonably good agreement is obtained between the COMSOL finite element model and the integration method, showing that this mathematical model gives realistic results.
The resulting solution of this mathematical model gives the optimal values of pressure drops and match-dependent heat-transfer coefficients of the streams.
This simple mathematical model gives meaning to thermodynamic stability measurements.
Considering such a standard deviation, our mathematical model gives a theoretical set of threshold as −35 %; +55 %.
Whereas it has already been known that only the combination of TNFα and actinomycin D, but not TNFα alone can induce apoptosis in primary hepatocytes (as mentioned above), this mathematical model gives insights into the dynamical interplay between TNFα and FasL pathways, NF-kappaB and ROS.
The mathematical model gave a good fit to the experimental release data.
The developed mathematical model gave a better fit (with high statistically significance) to the known water content values than a null model did (p < 0.0001, r 2 = 0.973).
And in analyzing these non-linear phenomena, many mathematical models give rise to the problems for which only nonnegative solutions make sense.
Furthermore, the idea of mimicking the human vision function using mathematical models gave space to the development of feature detection algorithms based on the human visual system.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com