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We conclude that the LCPUFA omega3 status can not be improved by supplementation of low dose GLA, neither by co-supplementation of ALA.
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This indicates that GLA supplementation does not infact cause decreased conversion (or increased) of omega-3s. Interesting, since the review article you linked indicated that too much n-6 (LA) can decrease n-3 conversion. So GLA wont affect conversion, but LA (its precursor) will?