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Use of bubble columns as photobioreactors requires a quantitative knowledge of radial mixing in these columns.
Our understanding of biofilm dynamics requires a quantitative knowledge of bacterial growth-kinetics in these microenvironments.
As always, a quantitative knowledge of the atomic structure within these materials is a prerequisite to understanding and engineering their properties.
These heat effects may contain significant information concerning the mechanism of the process, and a safe scale up of the process often requires a quantitative knowledge of the heat generated or consumed.
A quantitative knowledge of the transition between two PCO2 equilibria allows for the prediction of the new PCO2 level long before the period of latency is over.
Without a quantitative knowledge of the gases produced and their sources and sinks, it is difficult to unequivocally estimate gas fluxes through modeling approaches.
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To account for the different quality of information that is available for a network under study the available experimental data might provide a detailed quantitative knowledge or just a qualitative view, and detailed prior knowledge on the network topology might or might not exist modeling formalisms of different levels of complexity have been developed over the last years [ 1, 2].
Analysis of the growth dynamics of tumors can lead to an increased understanding in the causes for acceleration and deceleration of the rate of tumor proliferation, and furthermore an accurate quantitative knowledge of tumor growth dynamics can be applied directly to design of an optimal treatment strategy.
The crucial transformation of chemistry from a collection of vain hopes and alchemical meddlings to a corpus of reliable quantitative knowledge hinged on the contributions of the French aristocrat Antoine-Laurent Lavoisier (and his wife, Marie-Anne), shortly before he lost his head to the guillotine at the height of the Reign of Terror.
There is an urgent need for quantitative knowledge of soil strength in order to evaluate sustainability of current field traffic.
So far, land use history is never used as a determinant for SOC stocks in regional inventories as a result of the limited quantitative knowledge of the effect of land use history on SOC stocks.
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