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Cellulase biosynthesis and hydrolysis of cellulosic substances

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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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