List of Symbols
Symbols that are defined and used only within a particular Example, Note, or Problem are not listed. It
should be noted that a few symbols are used for different purposes in different chapters. For this reason
more than one definition may apply for a given symbol.
a
a
ad
Qcell
A
b(y)
Bi
B
c,
c*
c
Q
c i
c*
db
Sf
ds
dsau'.cr
D
d-d max
d-d mem
D,
D,
Da
e„
ejf
Ec
Era
f(y,t)
F
g
G
G0
AGa
Cell age (h)
Specific interfacial area (m2 per m3 of medium)
Specific interfacial area (m2 per m3 of gas-liquid dispersion)
Specific cell surface area (m2 per gram dry weight)
Matrix of stoichiometric coefficients for substrates, introduced in Eq. 7.2
Breakage frequency (h 1)
Biot number, given by Eq. (10.59)
Matrix of stoichiometric coefficients for metabolic products, introduced in Eq. 7.2
Concentration of the ith chemical compound (kg m'3)
Saturation concentration of the ith chemical compound (kg m'3)
Vector of concentrations (kg m'3)
Concentration control coefficient of they'th intermediate with respect to the activity of
the ith enzyme
Flux control coefficient with respect to the activity of the ith enzyme
Matrix containing the control coefficients [defined in Eq. (6.44)]
Bubble diameter (m)
Thickness of liquid film (m)
Mean bubble diameter (m)
Lipid membrane thickness (m)
Stirrer diameter (m)
Mean Sauter bubble diameter (m), given by Eq. (10.18)
Dilution rate (h 1), given by Eq. (3.1)
Maximum dilution rate (h 1)
Diffusion coefficient in a lipid membrane (m2 s'1)
Effective diffusion coefficient (m2 s'1)
Diffusion coefficient of the ith chemical compound (m2 s ')
Damkohler number, given by Eq. (10.37)
Enzyme concentration (g enzyme L'1)
Activation energy of the growth process in Eq. (7.27)
Elemental matrix for all compounds
Elemental matrix for calculated compounds
Elemental matrix for measured compounds
Distribution function for cells with property y in the population, Eq. (8.1)
Variance-covariance matrix
Gravity (m s'2)
Gibbs free energy (kJ mole'1)
Gibbs free energy at standard conditions (kJ mole'1)
Gibbs free energy of combustion of the ith reaction component (kJ mole'1)
XI
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