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Applied and Environmental Microbiology, July 2004, p . 4222-4229, Vol . 70, No . 7
Osmotic Stress Response: Quantification of Cell Maintenance and Metabolic Fluxes in a Lysine-Overproducing Strain of Corynebacterium glutamicum
Cristian A . Varela, Mauricio E . Baez, and Eduardo Agosin*
Departamento de Ingeniería Química y Bioprocesos, Escuela de Ingeniería, Pontificia Universidad Católica de Chile, Santiago, Chile
Received 30 January 2004/
Accepted 31 March 2004
Osmotic
stress diminishes cell productivity and may cause cell
inactivation in industrial fermentations . The quantification of
metabolic changes under such conditions is fundamental for
understanding and describing microbial behavior during bioprocesses . We
quantified the gradual changes that take place when a
lysine-overproducing strain of Corynebacterium glutamicum is
grown in continuous culture with saline gradients at different dilution
rates . The use of compatible solutes depended on environmental
conditions; certain osmolites predominated at different dilution rates
and extracellular osmolalities . A metabolic flux analysis showed that
at high dilution rates C . glutamicum redistributed its
metabolic fluxes, favoring energy formation over growth . At low
dilution rates, cell metabolism accelerated as the osmolality was
steadily increased . Flexibility in the oxaloacetate node
proved to be key for the energetic redistribution that occurred when
cells were grown at high dilution rates . Substrate and ATP maintenance
coefficients increased 30- and 5-fold, respectively, when
the osmolality increased, which demonstrates that
energy pool management is fundamental for sustaining
viability .
In industrial fermentations, increases in osmotic pressure, mostly a
direct result of product accumulation, disrupt bacterial growth and the
production of desirable compounds and may inactivate cells in many
bioprocesses
(26) .
One strategy
that microbes adopt to counteract higher osmotic pressure
and to improve the likelihood of surviving such conditions is making
use of organic intracellular solutes . Compatible solutes
enable the cell to achieve osmotic balance without altering the
cell's metabolic functions
(35) . The regulation of
intracellular solute concentrations in response to the salinity of the
medium provides the cell significant scope for adapting to changes in
osmolality in the cell's environment
(19) .
Aside from
altering compatible solute concentrations, the higher energy
requirements for cell maintenance under osmotic stress also disrupt
energy pool management
(18).
"Maintenance" covers every cellular reaction involving
the consumption of ATP that does not contribute to the net synthesis of
biomass . Such reactions include the need to build up and maintain steep
ion concentration gradients across the membrane and macromolecular
turnover
(27) .
Microbial
growth and cellular productivity are driven by the flux balance
generated between anabolic and catabolic reactions, as a higher osmotic
pressure provokes numerous changes in the cell's metabolism . These
fluxes vary considerably in response to changing environmental
conditions (4,
34) . Hence, a means for
evaluating osmo-induced changes is necessary for the assessment and
quantification of significant shifts within the metabolic network.
Metabolic flux analysis is a powerful tool for quantifying such changes
(22,
31-33) .
Corynebacterium
glutamicum is particularly appropriate for studying responses to
osmotic stress, as this microorganism adapts efficiently to changes in
osmotic pressure in the soil
(6) . It is also the most
widely used microorganism for the industrial synthesis of amino acids
(5) . Although the
physiological response of C . glutamicum to increases in
osmotic pressure has been studied extensively, research has
concentrated on individual pathways and not the
organism's systemic response
(7,
9,
10) .
For this work,
we applied metabolic flux balance analysis to assess and quantify the
response of C . glutamicum ATCC 21253 to osmotic stress as well
as to changes in the specific growth rate . We also evaluated how
changes in osmotic pressures altered the substrate and ATP maintenance
coefficients .
Microorganism and medium.
C . glutamicum ATCC 21253 was
used throughout this study . In cultures with low levels of threonine,
this strain overproduces lysine due to the bypassing of aspartate
kinase inhibition by threonine plus lysine
(12) .
Initial seed
cultures were grown in modified Luria-Bertani broth containing
10 g of tryptone liter1, 5 g of
yeast extract liter1, 10 g of NaCl
liter1, and 5 g of glucose
liter1 . A defined, threonine-growth-limiting medium
was used for inoculation and reactor feeding
(12) .
Cultivation conditions.
A 2-liter Braun
Biostat B bioreactor with a 1.5-liter working volume was inoculated
with 25 ml of microbial broth . The temperature was maintained at
30°C, and the pH was held at 7.0 . Air was provided at a rate of
1 volume of gas per volume of liquid per min . The culture
was grown in batch mode until the cell density approached the threonine
limitation threshold . Constant feeding was then initiated at dilution
rates of 0.21, 0.17, 0.13, and 0.09 h1 by using a
peristaltic pump . Each of these experiments was performed in duplicate.
The osmolality of the culture was increased when a steady state was
reached . It was increased linearly from 280 mosmol
kg1 up to 1,800 mosmol kg1,
with the dilution rate kept constant by use of a second feed of the
same medium supplemented with 1.2 M NaCl . The osmolality gradient
lasted for 36 h . For each dilution rate, the total
cultivation time (i.e., the time needed to reach steady-state
conditions plus the time of the gradient) was short enough to avoid the
appearance of revertants
(11) . The gradient
continuous culture system was validated in an earlier study
that compared continuous cultures with discrete osmolality values and
gradient continuous cultures at the same dilution rate
(34) .
Analytical techniques.
Samples were
taken periodically to determine the status of the fermentation . These
were analyzed for osmolality, dry cell weight, glucose, trehalose,
extracellular organic acids and amino acids, and ammonia, as described
previously (34).
Intracellular metabolites were extracted with a mixture of
1-bromohexadecane and 1-bromoheptane as a separation layer and
HClO4 as an acid fixation layer
(13) . This method
significantly reduces contamination with external components . The
oxygen uptake rate (OUR) and the carbon dioxide evolution rate (CER)
were measured online as described elsewhere
(8) .
Stoichiometric model and metabolite balancing analysis.
The stoichiometric model used to
describe the metabolic network of C . glutamicum was described
in earlier research (34).
The stoichiometric matrix derived from the model has a condition number
below 100, indicating that the estimated flux values are accurate even
at relatively high measurement variances
(27,
33) . Appendix A lists
every reaction used in the model .
The model assumptions were as
follows . The respiratory chain of C . glutamicum is branched,
with a variable efficiency depending on the growth conditions . During
aerobic growth on minimal medium, however, the
bc1-aa3 branch is the main operative branch . The
transfer of two electrons from NADH to oxygen via this pathway results
in the formation of 1.5 to 2 ATP molecules
(1) . Therefore, the P/O
ratio (moles of ATP formed per oxygen atom) was considered
constant throughout the saline gradient, with a value of 2 . Two
additional assumptions were made when we constructed the model . First,
the macromolecular composition of the biomass (as shown in appendix A)
was assumed to remain constant throughout the saline gradient;
additionally, pyruvate carboxylase was the anaplerotic pathway
considered in the network, since it has been reported as the major
anaplerotic pathway of this microorganism
(20,
21) . Moreover, the flux
through this anaplerotic pathway corresponds to the total anaplerotic
flux, since metabolite balancing analysis cannot provide information
about the size of each individual anaplerotic reaction flux .
The
fluxes through the pathways of the bioreaction network were estimated
from measurements of substrate uptake and product formation rates.
Measurements and fluxes are connected through metabolite
(stoichiometric) balances
(33) . Intracellular
metabolite pools were assumed to be at a steady state, which is
reasonable for continuous cultures .
Metabolite balancing analysis
was performed to determine the flux distribution corresponding to each
value of osmolality for each of the four different dilution
rates .
Consistency analysis by integration of data for metabolic flux analysis.
The substrate uptake and product
formation rates of glucose, trehalose, organic acids (i.e., acetate,
lactate, and pyruvate), and amino acids (i.e., alanine, valine, and
lysine), in addition to the OUR, CER, and cell growth rate, were used
to estimate metabolic fluxes . Based on the corresponding measurement
variance, the relative standard deviations considered for the measured
rates were as follows: for the CER, OUR, and ammonia, 10%; for
trehalose, 8%; and for dry cell weight, glucose, organic acids,
and amino acids, 5% .
Prior to any flux analysis, we
checked to ensure that carbon balances accounted for at least
95% in every sample
analyzed .
Nodal analysis.
For nodal analysis, the fluxes around
a particular metabolite node were depicted as normalized with respect
to the total flux entering the node . A brief description of each of the
nodes examined is given below .
(i) G6P node.
Mass flows into the
glucose-6-phosphate (G6P) node through the phosphotransferase system
(equation A1 in appendix A) reaction, while the pathways consuming G6P
are trehalose synthesis (A2), the pentose phosphate pathway (A23),
glycolysis (A3), and biomass generation pathways (A33) that require
G6P .
(ii) OAA node.
Oxaloacetate (OAA) is produced from
malate (A16) and replenished by the anaplerotic flux from the
phosphoenolpyruvate/pyruvate (PEP/PYR) node . OAA is
consumed from the aspartate aminotransferase (A31) and citrate synthase
(A16) reactions .
Determining kinetic parameters.
To determine
substrate and ATP maintenance coefficients, we used the following
equation:
 |
(1) |
where
i may be either the substrate or ATP . When metabolites are
produced, however, the substrate maintenance coefficient
(ms) must be adjusted . To correct this, we used the
method described by Stouthamer and van Verseveld
(29) (see appendix B) and
a theoretical substrate on product yield coefficient
(Y°sp) of 0.5 g
g1
(12) . This method
provides the maximum theoretically possible biomass on substrate yield
(Y°sx) and the substrate
maintenance coefficient (ms) as metabolites are
produced . In this work, the latter coefficient was obtained by
correcting the observed yield coefficient
(ms'), which represents the substrate
needed to sustain both cell integrity and productivity
(24) . We then used the
difference between the two coefficients
(ms' ms),
which we called msp, to represent only the
substrate necessary to sustain cell
productivity .
Response to osmotic stress.
A series
of continuous cultures of C . glutamicum with a saline gradient
were developed in a chemical medium that was predetermined to promote
lysine overproduction . Measurements were compared for each of the four
dilution rates used (0.09, 0.13, 0.17, and 0.21
h1) . The values for specific substrate consumption
as well as for biomass and carbon dioxide production were higher at
higher dilution rates .
For each of the dilution rates, the
specific uptake of glucose increased linearly with the medium
osmolality, although a higher rate of consumption was exhibited at
lower dilution rates . At 0.09 h1, the specific
glucose consumption increased twofold, while at 0.21
h1, the uptake increased by a factor of 1.2 . Over
the same period, a linear decrease in biomass production was observed
for each dilution rate as the osmotic pressure increased . However, the
decrease in biomass production was more dramatic at lower dilution
rates . At 0.09 h1, the rate of biomass production
was 57% lower than the initial rate, while at 0.21
h1, it only fell by 29% .
This behavior
becomes clearer if we look at the change in the yield coefficient of
biomass on glucose (Ysx) with changes in the medium
osmolality . For all of the dilution rates, the Ysx
values were similar as the saline gradient began (Table
1) . As the osmolality increased, the yield coefficient fell . Once more, the
reduction was higher at lower dilution rates, and at 0.09
h1, was half the initial value .
| TABLE 1 . Modification
of yield coefficients in response to rises in osmolality
| |
The main
product of C . glutamicum ATCC 21253 is the amino acid lysine.
The rate of lysine production at 0.21 h1 increased
moderately up to 800 mosmol kg1 and then fell to
below its initial value
(34) . This pattern was
not repeated for the other dilution rates, all of whose lysine
production rates increased linearly . Lysine production increased 2.2,
1.7, and 1.2 times for dilution rates of 0.09, 0.13, and 0.17
h1, respectively . The lysine yield on glucose was
practically constant at 0.09 and 0.13 h1, while it
decreased at both 0.17 and 0.21 h1, more markedly
for the latter dilution rate (Table
1) .
The
accumulation of the main compatible solutes, trehalose and proline,
occurred intracellularly and changed according to the medium osmolality
and dilution rate . For dilution rates of 0.09 and 0.13
h1, the trehalose content rose almost linearly as
the osmolality increased . For rates of 0.17 and 0.21
h1, on the other hand, trehalose increased up to
1,000 mosmol kg1 and then decreased until the end
of the gradient, at which point eight times more trehalose was
accumulated for the 0.09-h1 rate than for the
0.21-h1 rate (Fig.
1A) . Proline only started to be accumulated after an osmolality of 1,000
mosmol kg1 was reached and rose to a maximum of
0.98 mmol g of dry cell weight (gDCW)1 for the
dilution rate of 0.21 h1, which was almost two and
a half times the content achieved for the 0.09-h1
rate (Fig . 1B) . Hence,
trehalose is the principal osmolite throughout the gradient for
dilution rates of 0.09 and 0.13 h1, while similar
amounts of trehalose and proline were finally accumulated for the
0.17-h1 rate . At 0.21 h1,
however, more proline than trehalose was accumulated at high
osmolalities .
| FIG . 1 . Effect
of medium osmolality on intracellular content at different dilution
rates . The graphs show the intracellular accumulation of trehalose
(A) and proline (B) at 0.09 h1
(circles), 0.13 h1 (squares), 0.17
h1 (triangles), and 0.21 h1
(diamonds).
| |
Metabolic fluxes.
Metabolic flux distributions across the
network for the dilution rates of 0.09 and 0.21 h1
at three different osmolalities are shown in Fig.
2 . The fluxes were normalized with respect to the biomass formation rate,
which facilitates a comparison of the outcomes of different
osmolalities and dilution rates in the flux distribution map . Using
biomass for normalization also makes possible the representation of
fluxes such as the glucose phosphotransferase system .
| FIG . 2 . Map
of flux distributions at 0.09 h1 (black numbers)
and 0.21 h1 (white numbers in black columns) at
osmolalities of 280, 1,000, and 1,800 mosmol kg1
(from top to bottom) . The fluxes are expressed in millimoles per gDCW
per hour and are normalized with regard to biomass formation.
Abbreviations: TRE, trehalose; RIBU5P, ribulose-5-phosphate; F6P,
fructose-6-phosphate; XYL5P, xylulose-5-phosphate; XYL6P,
xylulose-6-phosphate; E4P, erythrose-4-phosphate; RIB5P,
ribose-5-phosphate; SED7P, sedoheptulose-7-phosphate; GAP,
glyceraldehyde-3-phosphate; G3P, glyceraldehyde-6-phosphate; ACCOA,
acetyl-CoA; ISOCIT, isocitrate; AKG,
-ketoglutarate; SUCCOA,
succinyl-CoA; IN, intracellular metabolite; EX, extracellular
metabolite.
| |
As osmotic
pressure rose, the consumption of glucose always increased for both
dilution rates, although more so at 0.09 h1 . The
flux entering the metabolic network at 0.09 h1 was
directed to biosynthetic and degradation pathways that use G6P,
specifically glycolysis, the pentose phosphate pathway, and trehalose
production . At 0.21 h1, however, the flux was
fed preferentially toward glycolysis (appendix A, equations
A3 to A7) .
At both dilution rates, the increased
glucose consumption led to larger fluxes within the Krebs cycle
(appendix A, equations A10 to A16); nevertheless, the
0.09-h1 dilution rate attained higher values than
the 0.21-h1 rate . Identical behavior was observed
for the flux directed to oxidative phosphorylation in response to
higher NADH production, which triggers a rise in the production of ATP
(equation A45) .
For the 0.09-h1 rate, as a
result of the larger flux in the anaplerotic reaction that replenishes
the OAA destined for the synthesis of lysine, fluxes forming aspartate
and lysine increased linearly . For the 0.21-h1
rate, on the other hand, the increased flux in this anaplerotic
reaction was linked to the rigid PEP/PYR node and not to lysine
production (34) . The
production of other amino acids, such as glutamine and valine, was also
higher for 0.09 h1 than for 0.21
h1 (Fig.
2) .
Nodal analysis.
Information is
essential for understanding the regulatory mechanisms of the cell in
response to a particular stress . Nodal analysis aims to classify the
nodes of the metabolic network based on their flexibility in coping
with such stresses
(28) .
As osmotic
pressure rose, the Embden-Meyerhof-Parnas (EMP)/pentose phosphate
pathway ratio at the G6P node increased linearly for each
of the four dilution rates (Fig.
3A) . The ratio was lower for the rates of 0.09 and 0.13
h1, however, due to the higher reducing power
needed to produce lysine .
| FIG . 3 . Effect
of rises in medium osmolality on the ratios between the main exit
branches of the principal nodes at different dilution rates.
(A) Glycolysis (EMP)/pentose phosphate pathway (PPP) ratio
(G6P node) . (B) Tricarboxylic acid cycle (TCA)/aspartate
synthesis (ASP) ratio (OAA node) . The graphs show data for 0.09
h1 (circles), 0.13 h1
(squares), 0.17 h1 (triangles), and 0.21
h1
(diamonds).
| |
PEP/PYR has been described as a rigid
node under various conditions
(28,
32), and we also observed
this here (data not shown) . As the glycolytic flux (the flux entering
the node) increased, both the flux toward OAA and that toward the Krebs
cycle rose proportionally .
The OAA node, which was described
earlier as being flexible
(34), varied in response
depending on the dilution rate (Fig.
3B) . At low rates of
dilution (0.09 and 0.13 h1), the node was
practically rigid, whereas at higher dilution rates it was flexible.
Production was unaltered for rates of 0.09 and 0.13
h1, since the flux was constantly
destined to the synthesis of aspartate, and later, lysine . For higher
dilution rates, however, the tricarboxylic acid
cycle/aspartate synthesis ratio rose with osmolality, thus privileging
energy formation over lysine
production .
Energetics and cellular maintenance.
Figure
4 shows the rise in the observed maintenance coefficient on the substrate
split into the carbon fraction needed to sustain cellular integrity and
the fraction the cell requires for maintaining cell productivity . Both
maintenance coefficients (ms and
msp) rose as the osmolality increased:
ms rose 30-fold (from 5 to 150 mg
gDCW1 h1), while
msp merely increased 10-fold (from 20 to 200 mg
gDCW1 h1) . In addition, we
observed that Ysx remained almost constant
throughout, at 0.65 gDCW g1 .
| FIG . 4 . Effect
of medium osmolality on cell maintenance . The bars indicate the
specific maintenance coefficients for cellular integrity
(ms [black]) and for cellular
productivity (msp
[white]).
| |
As the osmotic
pressure rose in the medium, the carbon fraction used for maintenance
(ms/qs) increased for every
dilution rate and attained a maximum of 35% for 0.09
h1 (Fig.
5) . This fraction also varied depending on the dilution rate and was lower
at higher rates of dilution . While less clearly discernible in the
figure, the differences between the values for 0.09 and 0.21
h1 reduced as the osmolality increased . At higher
osmolalities, the rise in qs was larger at lower
dilution rates . The difference at 280 mosmol kg1
was a factor of 2.2, while at 1,800 mosmol kg1, the
comparable difference in the carbon fraction used for maintenance fell
to a factor of 1.4 .
| FIG . 5 . Effect
of dilution rate on the amount of carbon flux employed for maintenance
at the following osmolalities: 280 (circles), 700 (squares), 1,200
(triangles), and 1,800 (diamonds) mosmol
kg1.
| |
The ATP maintenance coefficient
(mATP) rose linearly from 1.8 to 9.2 mmol
gDCW1 h1, while
YxATP remained almost constant, at 90 mmol
gDCW1, as the osmolality
increased .
Changes in the
biomass yield coefficient in response to stresses in the medium
demonstrate the cell's ability to adapt its metabolism in response
to adverse conditions . Hence, the cell is only affected by changes in
osmolality if this coefficient varies . C . glutamicum
confronted osmotic stress better at higher specific growth rates since
the biomass yield coefficient decreased only 20% .
At low
dilution rates, lysine production increased, since undersuch conditions the bacterial metabolism speeds up . The rise
in glucose consumption produced a higher level of
lysine production, and the
lysine-on-glucose yield coefficient remained constant
throughout the saline gradient . The faster metabolism in
turn led to more valine, trehalose, and proline
biosynthesis .
Several microorganisms use a cocktail of
osmolites in order to cope with changes in osmotic pressure
(35) . External conditions
largely dictate which of the osmolites predominates within the cell
(2,
14,
23) . At low dilution
rates, trehalose dominated throughout the gradient . Proline,
however, was only significant at high osmolalities and high
rates of dilution . The use of trehalose as a compatible solute has a
higher energetic cost than the use of proline does
(19) . The cell improves
its energy efficiency by changing the osmolite it uses at higher
dilution rates and thus is better able to cope with higher osmotic
pressures .
Unlike proline, trehalose is also found in the
extracellular medium . The excretion of trehalose under conditions of
low water availability (increased osmotic pressure or dehydration) has
been reported for Escherichia coli and Saccharomyces
cerevisiae
(3,
30) . The protective role
of trehalose against these stress conditions requires the presence of
trehalose on both sides of the membrane
(3) . This could explain
the slight increase in the specific net excretion rate of trehalose
with increases in osmotic pressure . Another possibility that cannot be
excluded is the release of trehalose from corynomycolates during
mycolic acid assembly at the cell wall
(25) . This would also
result in an increase in the extracellular concentration of
trehalose .
Depending on the dilution rate, higher osmotic
pressures prompted different flux distribution responses . At a dilution
rate of 0.09 h1, most of the fluxes in the
metabolic network increased . The distribution of metabolic fluxes
changed at 0.21 h1, however . By redistributing the
fluxes used for energy production (glycolysis and the Krebs cycle),
cells growing at 0.21 h1 adapted better to high
osmotic pressures .
Within the metabolic network, the OAA node is
directly involved in generating energy since the fluxes exiting the
node determine the carbon fraction used for energy formation through
the Krebs cycle and for lysine production . At high dilution rates, the
OAA node was flexible . This adaptability to changes in osmotic pressure
improves the cell's energy management efficiency, as at low
dilution rates we found the node to be rigid . High dilution rates
trigger a metabolic switch within C . glutamicum, which
improves the cell's chances for surviving the adverse conditions
of rising osmolality . For industrial applications in which
the osmotic pressure increases during the course of production, the
dilution rate should be kept low (taking advantage of the rigid node)
to retain cell productivity .
At high osmotic pressures, while the
biomass formation rate fell, the substrate consumption and
CO2 production rates increased . Therefore, additional carbon
and energy are required to sustain microbial metabolism under osmotic
stress (18) . The carbon
fraction used for maintenance increased at lower dilution rates given
the same osmolality, which is indicative of an inverse relationship
between the substrate and energy requirements and the rate of dilution
(17) . At 0.09
h1, this fraction increased 15-fold, while at 0.21
h1, it rose 25-fold . Since cells are better adapted
to rises in osmolality at the latter dilution rate, an energetic
redistribution is critical for coping with these stress
conditions .
Independent of the rate of dilution, the ratio of the
maintenance of cellular integrity (ms) to the
maintenance of cellular productivity (msp)
increased as the osmolality rose . In other words, cellular integrity is
always a priority over the energy and carbon needs for production.
Hence, an upshift in osmolality increases the maintenance requirements
for sustaining cell integrity and significantly reduces productivity,
as the microorganism needs more energy to adapt to a continuously
changing environment .
In response to high osmotic
pressure, the fivefold rise in the ATP maintenance coefficient
reflected the higher energy demands to form and sustain ionic gradients
across the cell membrane and to counteract ion diffusion into the
cytoplasm (19) . The
ATP content has been observed to increase under conditions
of osmotic stress (15,
16), but this is the
first quantification of the coefficient . It is now possible to
determine how many ATP moles are necessary to sustain
1 g of biomass as the osmolality rises .
In conclusion,
the cell undergoes metabolic changes to cope with a demand for energy
as osmotic pressure rises in the extracellular medium . Thus, a modified
energetic balance impacts biomass formation and productivity, since
cells use carbon and energy sources to sustain viability, favoring
homeostasis over growth . Energy pool management is the cell's top
priority under stress
conditions .
The following are biochemical reactions
and metabolites used for the construction of the C . glutamicum
ATCC 21253 stoichiometric model .
PEP-glucose phosphotransferase system
 |
(A1) |
 |
(A2) |
 |
(A3) |
 |
(A4) |
 |
(A5) |
 |
(A6) |
 |
(A7) |
 |
(A8) |
Anaplerotic reactions (pyruvate carboxylase)
 |
(A9) |
Tricarboxylic acid cycle
 |
(A10) |
 |
(A11) |
 |
(A12) |
 |
(A13) |
 |
(A14) |
 |
(A15) |
 |
(A16) |
Acetate production
 |
(A17) |
Glutamate, glutamine, alanine, valine, and proline production
 |
(A18) |
 |
(A19) |
 |
(A20) |
 |
(A21) |
 |
(A22) |
Pentose phosphate cycle
 |
(A23) |
 |
(A24) |
 |
(A25) |
 |
(A26) |
 |
(A27) |
 |
(A28) |
Oxidative phosphorylation P/O=2
 |
(A29) |
 |
(A30) |
Aspartate and lysine production
 |
(A31) |
 |
(A32) |
Biomass synthesis
 |
(A33) |
Transport reactions
 |
(A34) |
 |
(A35) |
 |
(A36) |
 |
(A37) |
 |
(A38) |
 |
(A39) |
 |
(A40) |
 |
(A41) |
 |
(A42) |
 |
(A43) |
 |
(A44) |
ATP dissipation reaction
 |
(A45) |
The subindexes IN and EX correspond to intra- and extracellular metabolites, respectively .
The following equations were used to calculate
the maintenance coefficient on a substrate, corrected for product
formation .
where
the maintenance coefficient (ms')
and maximum biomass yield
(Y°xs'), uncorrected for
production formation, are defined as
follows:
* Corresponding author . Mailing address: Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago 782-0436 M, Chile . Phone: 562
354 49 27 . Fax: 562 354 58 03 . E-mail: agosin{at}ing.puc.cl .
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