Secondly, the oscillation of the cochlear partitions has been studied by analytical methods using two-dimensional and simplified three-dimensional models to investigate passive cochlear macro-mechanics, especially the vibration of the basilar membrane (Steele and Taber 1979; de Boer 1982; Kolston and Ashmore 1996; Parthasarati et al. 2000; Yoon et al. 2009).
Wave propagation characteristics of a thin composite cylinder stiffened by periodically spaced ring frames and axial stringers are investigated by an analytical method using periodic structure theory.
We used all data for each analyte in the ILSI crop-composition database and did not segregate the data by the analytical method used to determine the compositional component, or by the laboratory used to analyze the samples.
This can be explained by the analytical method used, called the hydroxamate method that in the current setup does not distinguish between the lactone and the acid form since all the d-xylonate is converted to d-xylono-γ-lactone and then measured colorimetrically.
Leaving aside the merits of the different approaches, our findings and conclusions were not affected by the analytical method used – a fact that is evident from the data presented in our paper.
Alkenone- and Mg/Ca ratio-based temperature estimates are not affected by the geochemical analytical method used for quantification or by the calibration equations chosen for calculations.
This modification was incorporated into eq 1d, and the EMS data for the I1 model duplex (in triplicate, representative data shown in Figure 3A) were fit to the model by NLLS analytical methods using Scientist (Micromath Scientific Software).
Contrary to the analytical method used by Souren et al. [ 12], our mixed effects model is capable of measuring age- and sex-dependent effects on intra-pair differential methylation.
The solutions are obtained by numerical simulation and by semi-analytical method using asymptotic linearization applied in the real temporal modal space.
To constrain the analysis and provide well-resolved parameters, an ensemble of EMS data for cos274, [R3-I1-R2], and [I2-R3-I1] model duplexes (in triplicate, representative data shown in Figures 2A, 3C, and 3D, respectively) were globally fit to eq 1d by nonlinear least-squares (NLLS) analytical methods using Scientist (Micromath Scientific Software).
