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Such an equation arises from some of the earliest mathematical models of the macroeconomic 'trade cycle', and has attracted a great deal of attention; see [6 11], and many references therein.
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The simplest and earliest mathematical model is the pioneering work in Ref. [ 13].
In order to reach their estimate, the researchers compared the results from a range of earlier mathematical models on deaths from air pollution.
To account for all the nitrogen entering and leaving the Mississippi River, environmental scientist Gregory McIsaac of the University of Illinois, Urbana-Champaign, and his colleagues combined and adapted two earlier mathematical models.
One of the early mathematical models of CML was a model created by Fokas et al. (1991) [8] which includes hematopoietic process focused on the maturation and proliferation of the T cell precursors in the bone marrow.
Early mathematical models of screening and treatment for HIV include [ 14- 17].
Structures of early mathematical models of the GIM give only an abstract reflection of the underlying physiological properties and mechanisms involved in hormonal glycemic control.
To overcome the limitations of earlier mathematical models used to describe sepsis and predict outcomes, we designed an empirically based Monte Carlo model that simulates the progression of sepsis in hospitalized patients over a 30-day period.
Some of the earliest comprehensive mathematical models for P. vivax did not consider distributional assumptions and relied on point estimates [ 32]; other mathematical models used a log-normal distribution for relapses and a single estimate of 15 days for incubation period [ 7], implying an exponential distribution.
In an earlier mathematical model of laminar pulverized coal air combustion, supported by added CH4, it was assumed that the volatiles from the coal consisted solely of CH4 and HCN.
However, a comparison of these data with predictions from an earlier mathematical model showed that, for R increasing above about 2, the predictive model significantly overestimated aspiration efficiency in relation to what was measured in these new experiments.
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