In this study, we have developed a methodology, akin to the enrichment analysis of gene expression profiles, to determine whether a preference of kinetic parameters adopting certain parameter values exists.
Somewhere, however, a middle ground of good value exists.
That is where value exists.
In alkaline condition, ettringite can be existed stably; but when the alkalinity exceeds a certain value, ettringite can be decomposed into calcium monosulfoaluminate (AFm).
One major example: mathematicians may be on the verge of proving the Riemann Hypothesis, which outlines how many prime numbers exist below a certain value.
Additional File 7 illustrates an example of how sustained oscillations exist for a certain value of the control parameter Δ after the Hopf bifurcation (Δ = 4.5), and how these are preceded (that is, for values of the control parameter prior to the birth of the stable periodic orbit, Δ = 4.3) by damped oscillations.
We discuss the existence of multiple positive solutions and show that for certain values of, there also exist solutions that vanish on a subinterval, the so-called dead core solutions.
Existing data analytic techniques are mostly based on building the same one model of variable relations over the full ranges of all variable values, although relations of variables may exist only for certain values of variables or different relations exist for different values of variables.
For certain diseases, well defined clinical cut-off values exist, such as the Framingham risk score for cardiovascular disease [ 13, 14], but in most instances the relevant thresholds have not been determined.
Then there exist certain values ∈ Ω such that the function u ∞ is a solution of the periodic boundary value problem (1.3), (1.4).
The results indicate that the saturated impulse exists if the decaying duration is greater than a certain value (i.e. the minimum decaying duration), and a saturation regime map is constructed accordingly.
