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The phrase "an optimal ratio between" is correct and usable in written English.
It can be used when discussing the ideal proportion or balance between two or more elements in various contexts, such as science, economics, or nutrition.
Example: "To achieve the best results in the experiment, we need to find an optimal ratio between the reactants."
Alternatives: "an ideal balance between" or "a perfect proportion of".
Exact(8)
The data supported an optimal ratio between the hydrophilicity of the PEG polymer and the number of hydrophobic anchors.
According to an actual commodity price on the market, one can chose an optimal ratio between sugar and ethanol production.
The numerical results show, (i) that a constant section hood is the most efficient shape when compared to progressive (elliptic or conical) section hoods, (ii) an optimal ratio between hood's section and tunnel section where the temporal gradient of the pressure wave can be reduced by half, (iii) a significant efficiency of the hood's length in the range of 2 8 times the length of the train nose.
In addition, thanks to its high viscosity, the gel presents an optimal ratio between injected amounts and product effects.
At 45 mg/L β-carotene, the β-IO yield was highest, probably due to an optimal ratio between β-carotene and free radicals.
At the end of an immune reaction, the majority of lymphocytes will undergo apoptosis when they bear an excess of NFATc factors, whereas those with an "optimal" ratio between NFATc1/αA and NF-κBs will survive.
Similar(52)
It is established that there is an optimal ratio of 1 1 between content of KOH and carbon material at chemical activation, while the maximum specific capacity of NCM is 180 F/g.
This result indicates that an optimal ratio was achieved between the amount of loaded catalyst and the number of pores that remained accessible for the diffusion of the substrates and the products.
Furthermore, there should be a certain optimal ratio between the grid field width and the spacing between grid points.
Efficiency can be defined as the relationship between the observed ratio of outputs to inputs of a unit (such as a physician), compared to an optimal ratio.
This is in turn implies our result (5) r = e, for the optimal ratio between adjacent scales in a hierarchical, grid coding scheme for position in one dimension, using a winner-take-all decoder.
More suggestions(17)
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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