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The phrase "a substantially higher potential" is correct and usable in written English.
It can be used when discussing the likelihood or capacity for something to occur or succeed at a significantly greater level compared to something else.
Example: "The new technology demonstrates a substantially higher potential for efficiency than the previous model."
Alternatives: "a significantly greater potential" or "a markedly higher potential".
Exact(5)
The major finding of our study is that coral-associated symbionts, which are generally considered to initiate the coral bleaching response [15], [16] possess a substantially higher potential for thermal-stress adaptation than their coral animal host.
Overall, algal symbionts belonging to Symbiodinium clade D (Magnetic Island) and type C2 (Orpheus Island) displayed a substantially higher potential than their coral host Acropora millepora for genetic adaptation to bleaching conditions (32°C) (Table 2).
braziliensis infections have a substantially higher potential to manifest as ML than any other new world leishmaniasis species, including L. (V).
Hence, it appears that the systemic administration of an adequate dose of specifically selected antibiotics may have a substantially higher potential to reach the cells harboring periodontopathic bacteria than the application of PDT.
Recently, Johnston et al. [ 34] examined the frequency and financial impact of DDIs and drug-condition interactions (DCIs) in predominantly commercially-insured pDPN patients prescribed pregabalin or duloxetine and found patients taking duloxetine had a substantially higher potential for DDIs and DCIs than patients taking pregabalin.
Similar(55)
EPC-CM showed a substantially higher angiogenic potential to stimulate vessel outgrowth from the aortic ring in comparison to control medium.
The more conservative opiate dependence cutoff score of 7 was shown to have a substantially higher positive predictive potential than 4, with only a slight decrease in negative predictive potential (NPP).
In today's economy, an outstanding graduate of a leading business school earns a substantially higher salary than a potential Nobel Prize winner graduating with a doctorate in biology.
The publication of the tax details of 1,500 companies would suggest a pretty big revenue problem and the potential for a substantially higher tax take, just by enforcing existing law or closing deduction loopholes.
Men with older brothers have a substantially higher chance of being homosexual, 20 22 another potential mechanism linking sibling position and sexual behaviours.
One important study found that Medicare beneficiaries who experienced a heart attack had a substantially higher chance of dying within a year if they were treated by a hospital that faced few potential competitors, relative to hospitals that had many competitors.
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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