Factorial design and response surface techniques were used to optimize the
culture medium for the production of inulinase by Kluyveromyces marxianus.
Sucrose was used as the carbon source instead of inulin. Initially, a fract
ional factorial design (2(5-1)) was used in order to determine the most rel
evant variables for enzyme production. Five parameters were studied (sucros
e, peptone, yeast extract, pH, and K2HPO4), and all were shown to be signif
icant. Sucrose concentration and pH had negative effects on inulinase produ
ction, whereas peptone, yeast extract, and K2HPO4 had positive ones. The pH
was shown to be the most significant variable and should be preferentially
maintained at 3.5. According to the results from the first factorial desig
n, sucrose, peptone, and yeast extract concentrations were selected to be u
tilized in a full factorial design. The optimum conditions for a higher enz
ymatic activity were then determined: 14 g/L of sucrose, 10 g/L of yeast ex
tract, 20 g/L of peptone, 1 g/L of K2HPO4. The enzymatic activity in the cu
lture conditions was 127 U/mL, about six times higher than before the optim
ization.