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The phrase "a fast distribution" is correct and usable in written English.
It can be used when referring to the quick delivery or spread of something, such as products, information, or resources.
Example: "The company implemented a new logistics strategy to ensure a fast distribution of their products to customers."
Alternatives: "rapid distribution" or "swift distribution".
Exact(6)
This results in a fast distribution to water resources, and consequently, also to a contamination of drinking water resources.
Pharmacokinetic data available in the literature show that after i.v. administration DOX follows a two-compartment open model, with a fast distribution phase followed by a very slow elimination phase.
Following infusion, plasma concentrations decreased rapidly, indicating a fast distribution phase.
Volasertib exhibited multi‐compartmental pharmacokinetic behavior with a fast distribution after the end of infusion followed by slower elimination phases.
The physiological justification of this assumption is the high heart rate of rats (320 – 480 bpm [ 54]) that guarantees a fast distribution of circulating insulin.
The biodistribution of F-ML-8 in normal mice showed a fast distribution into the whole body, which was corroborated by highest accumulation of radiotracer at 5 min after intravenous injection.
Similar(54)
Solvents have a lower viscosity compared to paints and as a consequence a faster distribution along the tissues is apparent [21].
The fast distribution on a large scale of an illness for which there is no vaccine or treatment by a vector with wings may seem frightening; however, it is the complications of this infection that merit our full attention.
In addition, inevitable fast distribution of food around a small tank due to fish movement reduces the chance of the fish associating a specific tank area with food presentation.
It is because the channel follows a fast fading distribution.
We may have missed a fast initial distribution phase in the simulated IFs of the bolus injection.
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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