"is narrowly dependent" is a grammatically correct phrase and can be used in written English.
It means that something is closely or strongly reliant on something else. Example: The success of the project is narrowly dependent on the timely completion of the research.
Exact(1)
In parallel, the activation of microglia is narrowly dependent on their local microenvironment.
Similar(58)
Unlike past recoveries, which tended to be narrowly dependent on increased exports of cars to North America, current growth is more widely based as Chinese demand puts idle capacity in Japanese steel mills and semiconductor plants back to work.
One argument is narrowly procedural.
For the spokesmen of Ansar Dine, culture is narrowly defined.
This proposed district is narrowly crafted and widely supported.
Adiantum viridimontanum is narrowly distributed in New England and Quebec.
The corolla is slaver shaped and stigma is narrowly conical.
Detroit was narrowly focused on the automobile industry, which indeed spun off other associated but highly dependent industries, which led to temporary boom.
If γ-ray bursts are narrowly collimated, then the burst is only probing a small portion of any wind, perhaps just that time-dependent and isotropic structure directly along the rotation axis.
Each eventuality was narrowly avoided.
A brawl was narrowly averted.
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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