List of Symbols
xiv
X,
Concentration of the ith intracellular component (kg [kg DW ]1)
X
Vector of concentrations of intracellular biomass components (kg [kg DW]'1)
y
Property state vector
Yj
Yield coefficient of
j
from i (kgy per kg of
i
or C-mole of
j
per kg of
i)
Yxatp
ATP consumption for biomass formation (moles of ATP [kg DW]'1)
Zi
Concentration of the ith morphological form (kg [kg D W ]1)
Greek Letters
an
h
7
Yu
T
8
A
E
E
£ji
S
E
7
Veff
71
,
0
Kj
Pmax
A?
Peel!
Pi
a
o>
T
tj
r,
$>
®gen
¥(X)
Stoichiometric coefficients for substrate i in intracellular reaction j
Stoichiometric coefficient for metabolic product i in intracellular reaction i
Shear rate (s'1)
Stoichiometric coefficient for intracellular component
i
in intracellular reaction
j
Matrices containing the stoichiometric coefficients for intracellular biomass
components
Vector of measurement errors in Eq. (3.41)
Matrix for stoichiometric coefficients for morphological forms
Gas holdup (m3 of gas per m3 of gas-liquid dispersion)
Porosity of a pellet
Elasticity coefficients, defined in Eq. (6.37)
Vector of residuals in Eq. (3.44)
Matrix containing the elasticity coefficients
Dynamic viscosity (kg m’1
s'1)
Internal effectiveness factor, defined in Eq. (10.46)
Partial pressure of compound i (atm)
Dimensionless time
Degree of reduction of the ith compound
The specific growth rate of biomass (h 1)
The maximum specific growth rate (h 1)
The specific growth rate for the
qth
morphological form (kg DW [kg DW]'1
h'1
)
Cell density (kg wet biomass [m'3 cell])
Liquid density (kg m'3)
Surface tension (N m'1)
Variance
Space time in reactor (h)
Shear stress (N m'2)
Tortuosity factor, used in Eq. (10.43)
Thiele modulus, given by Eq. (10.49)
Generalized Thiele modulus, given by Eq. (10.55)
Distribution function of cells, Eq (8.8)
Abbreviations
ADP
Adenosine diphosphate
AMP
Adenosine monophosphate
ATP
Adenosine triphosphate
CoA
Coenzyme A
DNA
Deoxyribonucleic acid
Ec
Energy charge
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