Producing polyunsaturated fatty acids (I) comprises introducing nucleic acid sequences coding for delta 9 elongase or delta 6 desaturase, delta 8 desaturase or delta 6 elongase, delta 5 desaturase, delta 5 elongase and delta 4 desaturase activity into an organism to produce a transgenic organism whose total lipids include at least 1 wt.% (I). Producing polyunsaturated fatty acids of formula (I) comprises introducing nucleic acid sequences coding for delta 9 elongase or delta 6 desaturase, delta 8 desaturase or delta 6 elongase, delta 5 desaturase, delta 5 elongase and delta 4 desaturase activity into an organism to produce a transgenic organism whose total lipids include at least 1 wt.% of formula (I). [Image] R 1>;OH, coenzyme A (thioester), lysophosphatidyl choline, lysophosphatidyl ethanolamine, lysophosphatidyl glycerol, lysophosphatidyl serine, lysophosphatidyl inositol, sphingobase or OCH 2CH(OR 3>;)CH 2OR 2>;; R 2>;H, lysophosphatidyl choline, lysophosphatidyl ethanolamine, lysophosphatidyl glycerol, lysophosphatidyl serine, lysophosphatidyl inositol, (un)saturated 2-24C alkylcarbonyl or CO(CH 2) n(CH=CHCH 2) m(CH 2) pCH 3; R 3>;H, (un)saturated 2-24C alkylcarbonyl or CO(CH 2) n(CH=CHCH 2) m(CH 2) pCH 3; n : 2-9; m : 2-6; p : 0 or 3. Independent claims are also included for: (1) oils, lipids or fatty acids produced as above; (2) oil, lipid or fatty acid composition that comprises polyunsaturated fatty acids produced as above and is derived from transgenic plants; (3) isolated nucleic acid sequence coding for a delta 5 elongase polypeptide having one of 6 amino acid sequences given in the specification; (4) isolated nucleic acid sequence that codes for a delta 6 elongase polypeptide and has one of 4 nucleotide sequences given in the specification; (5) isolated nucleic acid sequence that codes for a omega 3 desaturase polypeptide and has one of 2 nucleotide sequences given in the specification; (6) isolated nucleic acid sequence that codes for a delta