The alkaline protease gene, Apr, from Bacillus licheniformis 2709 was cloned into an expression vector pET 28b(+). The pET-28b(+) Apr was expressed in a high expression strain E. coli BL21. In order to develop and optimize mathematical model of protease activity, three variables were investigated, including peptone concentration (6 g/L to 10 g/L), incubation time (16 h to 32 h) and agitation fr...