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In order to detect subtle changes within voxels due to axonal injury, dense cellularity, demyelination, and edematous fluid in a mouse model of multiple sclerosis, diffusion basis spectrum imaging (DBSI) was developed.
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The cost function is projected onto a diffusion wavelet basis.
Experimental methods for the determination of macromolecular diffusivity, as fluorescence recovery after photobleaching (FRAP) or single particle tracking (SPT) determine diffusion on the basis of apparent mobility within the focal depth, about 600 nm thick, which is in the range of the thickness of a single mitochondrion.
Since our algorithm performs diffusion in both basis material density images simultaneously, it is also more efficient than the original ACNR algorithms.
Einstein explained molecular diffusion on the basis of the random translational motion of molecules, which results from their thermal energy (Einstein, 1905).
Fickian (first order) diffusion is the basis for the Webler-Brown leaching model, leading to a simple exponential relationship with a rate constant of 2.25 years based on laboratory experiments and theoretical justifications [ 3].
The proposed algorithm diffuses both basis material density images (e.g., water and iodine) at the same time using a novel correlated diffusion algorithm.
They also observed that in mixtures containing both LMW and unfractionated heparin, the components could not be resolved on the basis of diffusion, and the diffusion coefficient measured for heparin was a weighted average of both components.
On the basis of diffusion law, the diffusion time of a protein (τ d, the average time a molecule stays within an illuminated area) can be plotted versus the square of the beam radius (w), and from this representation, the intercept to the y axis can be calculated (t0).
From the basis of diffusion in air, oxygen diffusivity should be equivalent to 0.176 cm2/s in the air pore of cementitious materials.
Thus, considering the chemical potential as a driving force, the physical basis of diffusion will be translated into continuum equations.
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