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The phrase "as noted by a significant decrease" is correct and usable in written English.
It can be used when referencing a previously mentioned observation or finding that indicates a notable reduction in a particular metric or variable.
Example: "The results of the study were compelling, as noted by a significant decrease in the error rate over the testing period."
Alternatives: "as observed through a marked decline" or "as indicated by a considerable drop".
Exact(1)
We show that reduction of PC availability directly reflects on the protein composition of the PVM, as noted by a significant decrease on the levels of the PVM-resident protein UIS4, which implicates PC in PVM remodeling.
Similar(59)
On the contrary, PS does not cause cell cycle delay as noted by the non-significant decrease in the cytokinesis-block proliferation index (CBPI) and replicative index (RI).
The Tukey Kramer analysis clarifies this effect by showing a significant decrease in divergence angle with distance in the vertical+dark treatment, as noted by many authors (Wilson 1962; von Frisch 1967; Edrich 1975; Gould 1975; Towne 1985; Towne and Gould 1988; Weidenmuller and Seeley 1999), but no such pattern in the horizontal+skylight or vertical+skylight treatments (Fig. 4).
This finding helps explain why few vitamin D RCTs have found significant beneficial effects, as noted by Autier and others.
These results correlate well with the decrease in viability, as noted by ATP quantification (Fig. 2c).
The rings decrease in intensity with eccentricity that is consistent with histological findings of significant decrease in cone density from around 1.4 mm (equal to approximately 5°) as noted by Curcio and Sloan.
These decreases in [Mg2+] would be lower if not for evapoconcentration as noted by the increases in chloride concentrations.
As noted by the reviewers, ASNS inhibition or exogenous Asparaginase treatment should result in increased aspartate and glutamine, as well as decreased glutamate levels.
As noted by Broadcom Ltd.
Despite a worrying short-term prognosis, the researchers noted a significant decrease in the ingestion of plastic in northern European seabirds — a trend they said could be explained by the EU's new environmental objectives and better industry standards.
By regulating the levels of Rsp5 using the tetracycline-repressible promoter (Fig. 3A), we noted a significant decrease in OLE1 expression upon loss of RSP5 (Fig. 3B).
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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