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The phrase 'examine the diffusion' is correct and usable in written English.
You can use this phrase when you want to refer to an analysis of the spreading or dispersal of something. For example, you could say, "The researchers examined the diffusion of the drug through the body."
Exact(10)
In this research, we used a case study to examine the diffusion process of an online petition.
The simulation results are validated with hydrogen jet experimental data to examine the diffusion behavior of leak hydrogen jet stream.
Then, a new method was developed to examine the diffusion of middle carbon alcohols from water to heavy oil and its effect on viscosity reduction of heavy oil.
Moreover, non-invasive 4-D multiphoton tomographs are employed in clinical studies to examine the diffusion behavior, the intra-tissue accumulation of topically applied cosmetic and pharmaceutical components, and their interaction with skin cells.
In the existing literature on the diffusion of financial innovation, a review by Akhavein et al. (2005) reveals only seven quantitative studies that examine the diffusion of financial innovations (Hannan and McDowell, 1984, 1987; Sinha and Chandrashekaran, 1992; Saloner and Shepherd, 1995; Molyneux and Shamroukh, 1996; Ingham and Thompson, 1993; Gourlay and Pentecost, 2002).
To examine the diffusion dynamics of TLR9, the diffusion time of GFP was compared with TLR9-GFP using FCS.
Similar(50)
From examining the diffusion of one liquid into another, he divided particles into two classes crystalloids, such as common salt, having high diffusibility; and colloids, such as gum arabic, having low diffusibility.
This study examines the diffusion of small methylated and hydroxylated siloxanes through solutions of polymer and crosslinker molecules.
This article provides a comprehensive review of research studies that have examined the diffusion of evidence-based treatments (EBTs) within the field of substance abuse treatment.
In an early classic analysis of the technology adoption process, Griliches ([1957]) examined the diffusion of hybrid corn in the U.S., showing that technology diffusion followed an S-shaped, logistic curve from introduction to equilibrium.
Four hypotheses are quantitatively examined: the diffusion of national drafting practices, the complexity of research activities, the emergence of new sectors, and filing strategies.
More suggestions(16)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com