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The phrase "after initial screening of" is correct and usable in written English.
It can be used when discussing a process that involves evaluating or assessing something at the beginning stages.
Example: "After initial screening of the applicants, we will proceed to the interview stage."
Alternatives: "following preliminary assessment of" or "after preliminary evaluation of".
Exact(16)
After initial screening of 15 orthologues, we identified Cas13a from Leptotrichia wadei (LwaCas13a) as the most effective in an interference assay in Escherichia coli.
After initial screening of abstracts against the inclusion criteria, 337 studies remained.
After initial screening of all six DBL domains using serum samples from Malawian women with different parities (data not shown), additional serum samples were tested using domains DBL3x, DBL5ε and DBL6ε (Figure 1B).
After initial screening of titles and abstracts, 19 full texts were retrieved and read for relevance.
Eighteen papers were considered for review after initial screening of titles and abstracts.
After initial screening of titles and abstracts, we examined 285 full text papers, of which 73 met our inclusion criteria.
Similar(44)
After initial screening for the amplification of core ESBL genes on both chromosomal and plasmid, the plasmid-borne TEM, SHV, or CTX-m genes were subjected to nucleic acid sequencing.
Of these, three patients were found after initial screening to have metastatic lesions not amenable to biopsy due to location.
After initial screening, 20 of 75 met full eligibility criteria, and we invited them to attend a focus group session with a target of 6-8 perticipants per group.
After initial screening, parents of children meeting inclusion criteria documented child bedtime over 4 nights, using a sleep log, and completed questionnaires regarding sleep, ADHD and demographics to assess bedtime routine prior to PSG.
After initial screening, the full texts of 81 potentially eligible studies were retrieved for further appraisal (Fig. 1).
More suggestions(1)
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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