Prior to the performance of PCA, translational and rotational motions were removed by fitting the sampled coordinates to the first equilibrated frame of the trajectory.
Background noise from the sterile water was subtracted from the average (RLU) before calculating total ATP content, which was carried out by fitting the average RLU per sample from at least three replicates on a standard curve from serial dilutions of an ATP standard (Sigma-Aldrich ATP 0.1 M, 0.5 mL solution) ranging from 1 × 10−11 to 1 × 10−6 mol.
Blood sampler data were corrected for delay and dispersion by fitting the early part of the sampler curve to the ascending aorta (AA) time-activity curve (TAC) using a single-tissue compartment model with additional parameters for delay and dispersion constants [32].
The first-order reaction rate constant for the reaction was determined by fitting the fluorescence intensities of the samples to the first-order equation: {text{Ln}}(I_{t} ) = - k_{1} t + {text{Ln}}(I_{0} ),where I t and I0 are the fluorescence intensities at time t and at the initial time.
The average indium content and well thickness of QW layer obtained by fitting the measured curves for samples A, B, and C are 10.95% and 2.30 nm, 10.76% and 2.32 nm, and 11.11% and 2.36 nm, respectively.
The Monte Carlo program SIMNRA was used to evaluate the sample compositions by fitting the peaks corresponding to the individual elements in the measured spectra.
We estimated the relationship between n-1 and the logistic regression coefficients for the given sample size by fitting the following equation based on the additive definition of the bias As the sample size increases, n → ∞, the bias converges to zero (lim n →∞ b1 n-1 = 0), thus the intercept corresponds to unbiased estimate of the population parameter value.
We computed the gene expression indexes for each gene across the 11 human tissues (a total of 33 samples), by fitting the probe level data to the Li-Wong model [6], implemented in the affy package of Bioconductor (http://www.bioconductor.org/).
Extreme values of an environmental response can be estimated by fitting the generalised Pareto distribution to a sample of exceedances of a high threshold.
