Experimental Study of Biodegradation of Ethanol and Toluene Vapors

synthesis and in the ethanol catabolism reaction is assumed to yield ATP according to
Equation (5-11).
5.1.2 Mathematical Modeling
The reaction network (5-3), (5-10) and (5-11) can be written in condensed form
using the stoichiometric matrix θ
e
, where the first compound is taken to be 1 C-mol of
ethanol, followed by biomass, oxygen, carbon dioxide, ATP, and NADH 2 . The
stoichiometric matrix θ
e
for reactions (5-3), (5-10) and (5-11) can be written as:
r e
-1.27 -1 0
r x
1 0 0
θ
e
= r o2
= 0 0 -0.5 (5-12)
r co2
0.27 1 0
rATP
-α1E -0.5 δ
1.81 3 -1
r NADH 2
The reaction rate vector ν for the three reactions (5-3), (5-10) and (5-11) can be written
as:
r ⎡ν
1 ⎤
ν =
⎢ ⎥
⎢
ν
2 ⎥
(5-13)
⎢⎣
ν ⎥
3 ⎦
where ν 1 , ν 2 , ν 3 are the rates of reactions according to Equations (5-3), (5-10), and
(5-11), respectively.
The following set of six linear relations is obtained, by writing out the
compound balances for each of the six compounds (ethanol, biomass, oxygen, carbon
dioxide, ATP and NADH 2 ):
r r
r θ ⋅ν
+ φ
(5-14)
= e
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