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(Manuscript accepted for publication May 2002)
231)2'0%896)ꢀ%44)2(-<ꢀ
E, N, O, S, X
Concentrations of ethanol, nitrogen, oxygen,
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CHHXOOXNNX
Composition of biomass equivalent
Hydrogen portion of biomass composition
Nitrogen portion of biomass composition
Oxygen portion of biomass composition
Stoichiometric coefficient for CO2 formation dur-
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ethanol [mmol/mmol]
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NX
OX
C, ce
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mATP
ATP demand for non growth associated mainte-
nance [mmol/mmol]
ATP demand for growth associated maintenance
(growth on glucose/ethanol) [mmol/mmol]
P/O relation (ATP/NADH/H+) [mmol/mmol]
Stoichiometric coefficients
Yield for oxidative growth on glucose
[mmol/mmol]
Yield for fermentative growth on glucose
[mmol/mmol]
Yield for oxidative growth on ethanol
[mmol/mmol]
(maximum) specific substrate uptake rate
[mmol/(mmol*h)]
(maximum) specific oxygen uptake rate
[mmol/(mmol*h)]
K, Ke
e
e
Yx/sox
Yx/sf
Yx/e
q
q
s,max, qs
O2,max, qO2
KS, KO, KN, Keth Half saturation constants for glucose, oxygen,
nitrogen and ethanol [mmol/L]
Ki,eth
Inhibition constant for ethanol inhibition of glu-
cose uptake [mmol/L]
Inhibition constant for ethanol inhibition of oxy-
gen uptake [mmol/L]
Ki,eth,o
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ftemp
Lt, tlag
µ
ri
r1-r8
Coefficient for temperature dependence of qs
Lag time coefficient, lag time [h]
Specific growth rate [1/h]
Reaction rate of reactant i [mmol/(L*h)]]
Reaction rate of biochemical reaction 1-8
[mmol/(L*h)]