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"permeation of" is a correct and usable phrase in written English.
You can use it to describe the process of something spreading across an area or field, such as a trend, idea, or influence. For example: "The permeation of technology across the globe has been quite remarkable."
Exact(59)
Although water permeates readily across vesicular walls, passive permeation of solutes is hindered.
But, he added: "A permeation of mediocrity flows through the organization.
And both contributed to the permeation of science by materialistic thinking.
But after just 40 or so years, its influence - through the gradual permeation of its practices and philosophy into areas such as healthcare provision – is already considerable.
Hirst cannot be compared, in his permeation of modern culture, with any other British figure – he owes more to Andy Warhol.
Whether it's major or minor Roth, this novel is on a trajectory to match the much-different "Portnoy's Complaint" in its anomalous permeation of the larger culture.
Many substances do not actually cross the cell membrane through permeation of the lipid bilayer.
Others exhibit greater permeation of oxygen through the bark and into the cambium at lower oxygen concentrations.
A far-reaching consequence of the stock market crash of 1873 was the permeation of anti-Semitism into Austrian politics.
Screens are everywhere, and are already a huge permeation of our everyday lives.
b Yellow arrows indicate lymphatic permeation of tumor cells (×200).
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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