The systematic name of this enzyme class is NADPH:NAD+ oxidoreductase (Re/Si-specific). Other names in common use include pyridine nucleotide transhydrogenase, transhydrogenase, NAD(P)+ transhydrogenase, nicotinamide adenine dinucleotide (phosphate) transhydrogenase, NAD+ transhydrogenase, NADH transhydrogenase, nicotinamide nucleotide transhydrogenase, NADPH-NAD+ transhydrogenase, pyridine nucleotide transferase, NADPH-NAD+ oxidoreductase, NADH-NADP+-transhydrogenase, NADPH:NAD+ transhydrogenase, H+-Thase, energy-linked transhydrogenase, and NAD(P)+ transhydrogenase (AB-specific).
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You KS (1985). "Stereospecificity for nicotinamide nucleotides in enzymatic and chemical hydride transfer reactions". CRC Critical Reviews in Biochemistry. 17 (4): 313–451. doi:10.3109/10409238509113625. PMID3157549.