The phrase "a previous study demonstrating" is correct and usable in written English.
It can be used when referring to an earlier research work that provides evidence or support for a particular claim or finding.
Example: "A previous study demonstrating the effectiveness of the new treatment has been published in a reputable journal."
Alternatives: "an earlier study showing" or "a prior study indicating".
Concentration used was based on a previous study demonstrating a therapeutic effect with EGF[30].
This finding is consistent with a previous study demonstrating that tourniquet-assisted TKA did not exacerbate the systemic increase in C-reactive protein following knee arthroplasty [8].
The volume of bleeding and the duration of unresuscitated shock was chosen on the basis of a previous study demonstrating a shock induced inflammatory response during these condition [18].
The SNP selection was based on a previous study demonstrating significant associations of these SNPs with SLE and rheumatoid arthritis.
This agrees with a previous study demonstrating that TLR4 signaling protects against apoptosis in the injured intestine [35].
Our data also support a previous study demonstrating that IL-21R-/ mice do not show defects in T cell proliferation [8].
Table 2 also compares the inter-rater agreement to that found in a previous study demonstrating improvement in all but one domain [3].
This is consistent with a previous study demonstrating the potential for adjacent divergent gene pairs to share a common bi-directional promoter [6].
This is in line with a previous study demonstrating P. yoelii-induced apoptosis of pre-established MSP1-specific memory B cells in the spleen [54].
A previous study demonstrating the use of VeraTag™ technology in proteomics research reported on the development of receptor expression and homodimerization assays [31].
These results are consistent with a previous study demonstrating a decrease in cyclin D3 levels in response to ICI treatment in PR1 pituitary lactotrophs [18].
