Since, for the reference data, ε 2 S = 5 ⋅ 10 − 10, if the two characteristic pressures have to be comparable, i.e. χ = O ( 1 ), we need Da ∼ 10 − 9, indicating that K ∗ of the order of 10 − 14 m 2. The dimensionless version of the mathematical model illustrated above can be written as follows ∂ v x ∂ x + 1 r ∂ ∂ r ( r v r ) = 0, (12).
A mathematical model illustrating the dose response expected for proportional feedback control is provided in Supplemental Material, "Proportional Feedback Control".
Recently, Bonds et al. (2010) built a mathematical model illustrating the complex and reciprocal relationships that exist between poverty and parasitic pressures worldwide.
Below we present a mathematical model illustrating indirect evolutionary rescue and identify a previously unappreciated role of this mechanism in a recent theoretical study of coevolution's role in the persistence of interacting species (Northfield and Ives 2013).
Again, our main intent in this "hypothesis" paper is to put the emphasis on the premises of the argument (i.e. genome size constraints and duplication-divergence evolution) rather than on a specific mathematical model illustrating the resulting need for widespread HGT.
Yet, our main intent in this "hypothesis" paper is precisely to put the emphasis on the premises of the argument (i.e. genome size constraints and duplication-divergence evolution) rather than on a specific mathematical model illustrating the resulting need for widespread HGT.
In short, the running example of Newtonian mechanics, in conjunction with a glimpse into the use of analogies in mathematical modeling, illustrates the Pragmatic View's account of theory syntax: theory is constituted by a plurality of formal and informal components.
Following the pioneering model of Bolie, a series of mathematical models illustrating insulin glucose dynamics were developed (S6 S9).
A wide range of mathematical models illustrating the mechanisms underlying insulin glucose dynamics at different physiological scales, from whole-body through to organ, cellular and subcellular levels are discussed in this section.
For more quantitatively oriented readers, mathematical models illustrating the underlying kinetics that govern the dose response behaviors imparted by these motifs are provided in Supplemental Material, "SBML XML Files".
The use of the mathematical model is illustrated in a real world system of subsea flexible pipes, which operational in the south Atlantic Shelf off the Southeast Coast of Brazil.
