The phrase "analysis of the diffusion" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or study of how something spreads or disperses, such as in scientific or social research.
Example: "The analysis of the diffusion of innovations in technology reveals important trends in consumer behavior."
Alternatives: "study of the diffusion" or "examination of the diffusion".
Voxel-wise analysis of the diffusion data for each participant was conducted using tract-based spatial statistics (Smith et al, 2006), part of FSL (Smith et al, 2004).
Multiple phenomenological and biophysical diffusion models are intensively exploited for the analysis of the diffusion experiments.
Besides, voxel-mesh model was successfully used for statistical analysis of the diffusion material properties.
The numerical analysis of the diffusion equation suggests the front propagation behavior during phase transformation.
We empirically test our propositions through the analysis of the diffusion of the Automated Teller Machine among Spanish savings banks between 1986 and 2004.
A multi-scale analysis of the diffusion and reaction in the catalyst coating of a reformer is done based on virtual reconstructions of the porous catalyst coating.
The theoretical foundation of potentiometric diffusivity and transference-number measurements is revisited, through an analysis of the diffusion-potential relaxation a concentrated binary electrolyte exhibits after being subjected to a current pulse in a planar electrolytic cell.
A further consideration is the processing and analysis of the diffusion-weighted data.
This paper presents the results of a sensitivity analysis of the diffusion-based corrosion initiation model for reinforced concrete structures built in chloride-laden environments.
An in depth theoretical analysis of the diffusion-reaction approach in the context of event driven simulations has recently been published by Zon and Wolde [ 27].
Voxel-wise statistical analysis of the diffusion-weighted data using a region of interest approach was carried out using tract-based spatial statistics, part of FSL (Smith et al. 2004, 2006).
