List of Symbols
xiii
Q
Q
Q,
Qi
Qj
r ATP
r
D
r P
rx
r(y,t)
R
R
R
Rr
Re
s
s
V
S
AS
Sc
Sh
t
tc
tm
T
T
T,
T2
uh
u,
us
u
V
Ve
V f
Vpump
V
V
Vd
r,
vy
W
,-
X
X
Number of morphological forms
Heat of reaction (kJ mole'1)
Fraction of repressor-free operators, given by Eq. (7.52)
Fraction of promotors being activated, given by Eq. (7.58)
Fraction of promoters, which form complexes with RNA polymerase, in Eq. (7.60)
Specific reaction rate (kg [kg DW]'1
h'1)
Enzymatic reaction rate (Chapter 6) (g substrate L'1
h'1)
Specific ATP synthesis rate (moles of ATP [kg DW]'1
h'1)
Specific reaction rate vector (kg [kg DW]'1
h'1)
Specific substrate formation rate vector (kg [kg DW]'1
h'1)
Specific product formation rate vector (kg [kg DW]'1
h'1)
Specific formation rate vector of biomass constituents (kg [kg DW]'1
h'1)
Vector containing the rates of change of properties, in Eq. (8.2)
Gas constant (=8.314 J K'1
mole'1)
Recirculation factor
Redundancy matrix, given by Eq. (3.39)
Reduced redundancy matrix
Reynolds number, defined in Table 10.6
Extracellular substrate concentration (kg m'3)
Extracellular substrate concentration vector (kg m'3)
Substrate concentration in the feed to the bioreactor (kg m'3)
Dimensionless substrate concentration
Entropy change (kJ mole'1
K'1)
Schmidt number, defined in Table 10.6
Sherwood number, defined in Table 10.6
Time (h)
Circulation time (s)
Mixing time (s)
Temperature (K)
Total stoichiometric matrix
Stoichiometric matrix corresponding to non-measured rates in rows of TT
Stoichiometric matrix corresponding to known rates of TT
Bubble rise velocity (m s'1)
Cybernetic variable, given by Eq. (7.41)
Superficial gas velocity (m s'1)
Vector containing the specific rates of the metamorphosis reaction (kg kg 1
h 1)
Liquid flow (m3 h'1)
Liquid effluent flow from the reactor (m3 h'1)
Liquid feed to the reactor (m3 h'1)
Gas flow (m3 h'1)
Flux of reaction i (kg [kg DW]'1
h'1)
Impeller induced flow (m3 s'1
)
Flux vector, i.e. vector of specific intracellular reaction rates (kg [kg DW]'1
h ')
Volume (m3)
Total volume of gas-liquid dispersion (m3)
Dispersed gas volume (m3)
Liquid volume (m3)
Total property space, Eq. (8.2)
Cybernetic variable, given by Eq. (7.42)
Biomass concentration (kg m'3)
Dimensionless biomass concentration
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