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In the fitting intensities fin(x) and fout(x), all points in the local region O k (x) have an equal contribution.
Different from the LAC model, the fitting intensities f1 x) and f2 x) in the LBF model not only take into account the intensities of the points near the central point x, but also consider the distances from these points to the central point.
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Log2 fold changes based on the raw data and not the fitted intensities were calculated.
39 The corresponding fitted intensities for the spectra shown in Figure 4a can be found in Figure 4b.
The correlation in log between the two outputs is 0.996 for the image intensity values and 0.964 for the fitted intensities.
The data for water obtained by fitting spectral intensities to a dual mode diffusion model in the presence of different counter ions (at 0.2 mol dm−3) follow the order Li+>Cs+>Na+>Ca2+>K+.
Single slice T2-weighted (T2-w) imaging was performed using a Carr-Purcell-Meiboom-Gill (CPMG) multi-spin echo sequence collecting thirty two echoes at TR/TE = 4.2/2000 ms. T2 relaxation times constants were calculated voxel-wise by fitting the intensities of the 20 first echoes to a monoexponential model.
Other cases were estimated by fitting the intensities of the two isotopic distributions to two Gaussian curves and using the two resulting areas to compute the fully exchanged fraction.
T2 values were estimated, on a pixel by pixel basis, by fitting image intensities to a monoexponential decay using the MRI work-station software ParaVision 4.0 (Bruker BioSpin, Ettlingen, Germany).
To reduce noise and facilitate curve fitting, temporal intensity profiles with a moving average of five consecutive intensity data points of background subtracted FA intensity measurements were used.
By choosing the gate delays with respect to the trigger signal, the intensity of CREL at different time points was measured and the lifetime was calculated by fitting the intensity decay with a single exponential model (Eq. (1)): where I0 is the initial intensity, I t is the intensity measured for different time points and τ is the lifetime.
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