Before revision:  We  derive a growth law that accounts for RNA-polymerase auto-catalytic cycle, which we use to explain the dependence of growth rate on an inducible expression of  rpoB and rpoC genes that code for RpoB and RpoC protein subunits of RNA-polymerase, and to explain how the concentration of rifampicin -- a drug that targets RNA-polymerase , affects growth rate without changing the RNA to protein ratio.
After revision:  We derive a growth law that accounts for RNA-polymerase auto-catalytic cycle, which we use to explain the dependence of growth rate on an inducible expression of rpoB and rpoC genes that code for RpoB and RpoC protein subunits of RNA-polymerase, and to explain how the concentration of rifampicin , which targets RNA polymerase , affects growth rate without changing the RNA to protein ratio.