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Abbreviations
- a:
-
αbK Zmax/kn [Eq. (3)]
- b:
-
np [Eq. (3)],
- C:
-
concentration of product, ML−3
- D:
-
Diffusion coefficient according to Fick's second law
- E:
-
specific enzyme concentration [Eq. (2)], L−3
- E:
-
enzyme concentration [Eq. (12)], ML−3
- (E)0 :
-
initial enzyme concentration, L−3
- (G2):
-
cellobiose in polymerized form (insoluble)
- G2 :
-
cellobiose in soluble form
- k:
-
proportionality constant, [Eq. (2)] dimensionless
- k, k2, k3:
-
reaction rate constant, T−1 k −3
- K, K1, K3:
-
equilibrium constant, dimensionless
- K m :
-
Michaelis constant, ML−3
- K p :
-
equilibrium constant for cellobiose and glucose, dimensionless
- M:
-
mass uptake at boundary, ML−2
- n:
-
number of corepressor molecule bound with one repressor molecule, dimensionsless
- p:
-
empirical exponent [Eq. (2)], dimensionless
- p:
-
product concentration [Eq. (4)], ML−3
- (P):
-
product concentration, ML−3
- S:
-
substrate concentration, ML
- (S)0 :
-
initial substrate concentration, ML−3
- t:
-
time, T−1
- v:
-
rate of reaction or product formation, T−1
- V:
-
maximum rate of product formation, T−1
- V 0 :
-
initial rate of reaction, T−1
- X:
-
cell mass concentration, ML−3
- x:
-
distance normal to reaction surface, L
- X 1 :
-
amount of enzyme adsorbed per unit mass of substrate, dimensionless
- X 1 m :
-
saturation amount of enzyme adsorbed per unit mass of substrate, dimensionless
- X 2 :
-
amount of product formed per unit mass of substrate, dimensionless
- Y:
-
yield coefficient, dimensionless
- Z max :
-
maximum value of AE/AX, dimensionless
- α:
-
ratio of free operator to total operator
- α b :
-
α value when corepressor concentration is maximum
- ε:
-
specific enzyme synthesis rate, T−1
- ν:
-
specific uptake rate of carbon source, T−1
- μ:
-
specific growth rate, T−1
- μ m :
-
maximum specific growth rate at given pH and temperature, T−1
- (μ m)pH :
-
μm as function of pH at given temperature, T−1
- μ 0m :
-
maximum (μ m)PH at given temperature, T−1
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Ghose, T.K. (1977). Cellulase biosynthesis and hydrolysis of cellulosic substances. In: Ghose, T.K., Fiechter, A., Blakebrough, N. (eds) Advances in Biochemical Engineering, Volume 6. Advances in Biochemical Engineering, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08363-4_2
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