The phrase "associated exponential" is correct and usable in written English.
It can be used in mathematical or scientific contexts where you are referring to an exponential function or relationship that is linked to a particular variable or concept.
Example: "The model predicts that the population growth will follow an associated exponential curve over the next decade."
Alternatives: "related exponential" or "connected exponential".
The boundary conditions (BCs) consisted also PDEs including flux conditions and involving nonlinear terms associated with exponential kinetics of heterogeneous electrode reactions.
We prove Lp-uniqueness of Dirichlet operators for Gibbs measures on the path space C R,Rd) associated with exponential type interactions in infinite volume by extending an SPDE approach presented in previous work by the last two named authors.
As a basic tool, we use an analog of approximate Bernstein and Jackson inequalities and an abstract quasi-normed Besov-type interpolation space B p, τ α ( A ), associated with exponential type entire vectors of A, which sharply characterizes the behavior of the best spectral approximation.
That alternative kind of stability derives from another mathematical principle: the mathematics associated with exponential growth.
Briefly, expression values were obtained from the Ct number at which the increase in signal associated with exponential amplification of PCR products starts to be detected using the Applied SDS Biosystems analysis software according to the manufacturer.
Finally, although native resolution analysis is prohibitively time-consuming since increases in image size were found to be associated with exponential increases in CPU time, all calculated lacunarity values, as a function of image size, and therefore CPU time, do not vary by more than 0.011 (Fig. 1).
The increase in fluorescent signal was associated with exponential formation of PCR product during the linear log phase.
Also, the cells with Bmi-1 knockdown showed diminution of Cyc2A mRNA, of which the expression level is associated with exponential replication of NHOK (Kang et al, 2003).
While research is underway to uncover these relationships, the use of parameters associated with exponential growth seemed to be sufficient with the FBrAtio approach.
The PCR cycle associated with exponential growth of product is tightly associated with the quantity of the initial cDNA template, providing an estimate for the level of mRNA expression in the tissue.
