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The phrase 'with increasing dose of' is correct and usable in written English
You can use it when you want to describe a situation in which something, such as a dose, is gradually increasing as time passes. For example, "The effects of the medication were monitored with increasing dose of the drug over the course of a month."
Exact(60)
3) Water separation efficiency increases with increasing dose of demulsifiers. .
Water separation efficiency increases with increasing dose of demulsifiers.
The number of cell-bound VCAM MPIO increased with increasing dose of TNF-α.
Figure 2b shows that arsenic (III) removal efficiency increased with increasing dose of coated sand.
The attack reduction increased along with increasing dose of topiramate 50, 100 and 200 mg/day.
Arsenic (III) removal efficiency increased with increasing dose of coated sand.
The friction coefficient of TiAlN was found to decrease with increasing dose of boron ions.
In this study, the PSI values decrease in a dose-dependent manner with increasing dose of fentanyl.
Again, iron removal efficiency was observed to increase with increasing dose of coated sand in each batch.
The PSI values decreased in a dose-dependent manner with increasing dose of fentanyl, but no respiratory depression was observed.
The incidence of AEs increases with increasing dose of sumatriptan, reaching a maximum of 53% after 300 mg sumatriptan.
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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