Box-Behnken design was used to evaluate the main, interaction and quadratic effects of three independent variables on rhIFN-β overexpression and acetate secretion. Box-Behnken Design was specifically selected since it requires fewer runs than a Central Composite Design (CCD) in the cases of three or four variables. The experimental design and statistical analysis were performed using the statistical package Design-Expert, version 7.0.0 (Stat-Ease, Inc. Minneapolis, MN, USA). After selection of independent variables involved in the overexpression of rhIFN-β, the preliminary range of the independent parameters were determined, and the proper ranges of the requested variables were defined. A three-level three-factor BBD was chosen to evaluate the combined effect of three independent variables the glucose concentration (factor A), OD
600 nm (factor B), and induction temperature (factor C) coded as
X1,
X2 and
X3, respectively. The minimum and maximum values for glucose concentration were set at 5 and 15 g L
-1, OD
600 nm between 0.7 and 3.5, and induction temperature between 24°C and 32°C (
Table 1). The response values were the amount of produced rhIFN-β in mg L
-1 of culture medium and excreted acetate in g L
-1. The complete design consisted of 15 combinations, including three replicates of the center point (
Table 2). The responses function (Y) was partitioned into linear, quadratic and interactive components: