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The uncertainties in the De of the filter and in the volume of the circulation system have a noticeable impact on the estimates of the diffusion and porosity of the clay derived from dilution data.
Left: coronal T2-weighted image; middle: DW image (placenta delineated); right: IVIM signal and estimates of the diffusion coefficient d, pseudo-diffusion coefficient D* and the microvascular perfusion fraction f, based on VOI-averaged values.
The diffusion coefficients obtained by the Nicholson-Shain equation for 1, 2a, and 2b, and by the SVR algorithm for 1 are of inferior quality.The parameter fitting approach usually yields reliable estimates of the diffusion coefficients in practice, but at the expense of long computational times (Figure 11).
Estimates of the diffusion coefficient for Y1sfGFP receptors were thus derived from the second dwell time τD2 (Table 2).
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The estimate of the diffusion anistropy,Dx/Dy, is shown to be even more robust than the estimate of the diffusivity itself.
The simplest parametric model is the diffusion tensor describing a Gaussian estimate of the diffusion orientation and its strength in each voxel.
The absolute error approaches the order of magnitude of the values of D. Overall, the regression algorithms SVR and GPR yield a more accurate estimate of the diffusion coefficient for simulated E qr voltammograms in comparison to the Nicholson-Shain equation and to table look-up.
The kinetics of fluorescence washout following switch from a fluorescein solution to water was on the order of 30 40 seconds, which gives an estimate of the diffusion time (data not shown).
Using three pixel dwell times, we were able to fit the determined autocorrelation functions (data points in Fig. 4) by the model (lines in Fig. 4) and obtain the estimate of the diffusion coefficient for FluoSpheres: 24.5 μm/s.
Another difference between the models concerns the estimate of the diffusion constant for membrane-bound species: 0.0025 μm/s in one study (Goryachev and Pokhilko, 2008) and 0.03 μm/s in the other (Klunder et al., 2013).
This rescaling gives a bimolecular rate constant k of 100 (mol/cell -1 hr-1 for a pair of mol/cell -1close to a first-principles estimate of the diffusion-limited bimolecular collision rate within the nuclear volume (see Methods).
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