A structured model for the kinetics of fungal amylase production

Summary The cell is considered to be divided into nucleic acids, proteinaceous material and storage compounds. The enzyme is believed to be constitutive but repressed by the rate of catabolism. A structured model is developed to describe the growth, amylase production and dissolved oxygen profile in the batch culture ofAspergillus oryzae.Nomenclature CA Conc. of enzyme SKB units/m³ - C_D,C_E,C_G,C_O,C_S Conc. of D.E.G. mass, oxygen, substrate kg/m³ - C_O* Mean oxygen conc. in gas-liquid interface kg/m³ - C_X Total cell conc. kg/m³ - D D-mass (proteins) kg - E E-mass (storage carbon) kg - G G-mass (necleic acids) kg - K_E Rate of usage of E-mass kg/m³/h - K_EO K_E with oxygen limitation kg/m³/h - Q Active fraction of promotor genes - - R_D,R_E,R_G Rate of production of D,E,G-mass kg/m³/h - R_O,R_S Rate of usage of oxygen, substrate kg/m³/h - R_DO,R_EO,R_GO R_D,R_E and R_G with oxygen limitation kg/m³/h - S Substrate (carbon) concentration kg/m³ - t Time h - t_o Time at which C_S = 0 h - K₁,K₂,K₃,K₂₄,K₂₅ Stoichiometric constants - - K₄,K₅,K₆,K₇ Rate constants h^–1 - K₈-K₁₂,K₁₈,K₂₀-K₂₃ Michaelis-Menten constants kg/m³ - K₂₆,K₂₆ Absorption coefficient, K₂₆ at C_X = 0 h^–1 - K₂₇ Empirical constant kg/m³ - K₁₅ Rate of enzyme formation SKB units/kg - K₁₆,K₁₇ Equilibrium constants m³/kg - K₁₉ Decay constant for mRNA h^–1