Tryptophan promoter is widely used in the industrial fermentation for
the overproduction of recombinant proteins. It can be regulated by the
concentrations of tryptophan and 3beta-indoleacryclic acid (IAA). A m
athematical model is proposed for the regulation of the promoter by th
e manipulation of tryptophan and IAA concentrations. The transcription
initiation frequency increases with IAA concentration and reaches a p
lateau. The frequency decreases drastically even with the addition of
a small amount of tryptophan. These behaviors agree with the previous
experimental investigation.