Since the observation is the reconstructed signal, this step estimates the diffusion-weighted signal.
To estimate the diffusion coefficient of the 1D sliding process, we performed Monte Carlo simulations of dsDNA diffusing along a RecA filament ('Experimental procedures' and Figure 2 figure supplement 2).
The correlation time allowed us to estimate the diffusion coefficients of all three nanocolloids.
We applied this model to fit the step size distribution of all trajectories and estimated the diffusion rate and the size of the subpopulations according to the method suggested by Schütz et al.51.51
The inverse solution framework is utilized to arrive at two graphical techniques for estimating the diffusion coefficient.
In this approach, an inverse ANN is trained using our multi-zone biphasic-solute finite-bath computational model of diffusion in cartilage to estimate the diffusion coefficient of the various zones of cartilage given the concentration-time curves.
We thus estimate the diffusion barrier as the difference in total energy of the isomer inside the MOF pore window and the isomer at the entrance (just outside the MOF pore window), as depicted in Supplementary Fig. 42; both AIMD runs were performed independently of each other.
From the continuous secretion measurements we determined the local concentration of antibodies at the sensing array closest to the cell and from the bursts we estimated the diffusion constant of the secreted antibodies through the extracellular media.
Least Squares (LS) and its minimum variance counterpart, Weighted Least Squares (WLS), have become very popular when estimating the Diffusion Tensor (DT), to the point that they are the standard in most of the existing software for diffusion MRI.
The described methodology is applied to estimate the diffusion coefficients in the binary systems acetone/cellulose acetate (CA), solvent/poly vinyl acetate) and in the ternary system water/acetone/cellulose acetate, which is widely used in asymmetric membrane manufacture.
In order to eliminate the uncertainties associated with a non-uniform distribution of the applied current over the membrane surface, the relaxation zone of the obtained chronopotentiograms was used to estimate the diffusion boundary layer thickness.
