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THE TEMPERATURE-LIMITED FED-BATCH TECHNIQUE FOR
CONTROL OF ESCHERICHIA COLI CULTURES
MARIE SVENSSON
M.SC.
ROYAL INSTITUTE OF TECHNOLOGY
STOCKHOLM 2006
Marie Svensson
Stockholm, 2006
ISBN 91-7178-473- X
School of Biotechnology
Royal Institute of technology
106 91 STOCKHOLM
SWEDEN
ABSTRACT
The objective of this study was to investigate the physiology and productivity in Escherichia coli cultures with emphasis on the temperature-limited fed-batch (TLFB) culture. The TLFB technique controls the oxygen consumption rate of the growing culture by a gradually declining temperature from 37-35 °C down to 20-18 °C. The temperature regulated the DOT around a set-point (30 % air sat.), and all nutrients were in excess. Glucose was fed into the culture continuously, however, high acetate formation was avoided by keeping the glucose at a low, yet excessive, concentration. The biomass productivity was approximately the same in TLFB as in glucose-limited fed-batch (GLFB) cultures, since the specific growth rate and the oxygen consumption rate are limited by the oxygen transfer capacity of the reactor in both techniques. High concentrations of endotoxins were found in the medium of E. coli fed-batch cultures at low specific growth rates (below 0.1 h-1) and severe glucose limitation. In this thesis the TLFB technique was found to suppress the endotoxin release even at low specific growth rates. The repressed release of endotoxins in TLFB cultures was due to the high availability of glucose and not to the low growth rate or the lower temperature. The conclusion was drawn from comparing with the GLFB technique performed at 20 °C, which resulted in high endotoxin release. Extensive release of endotoxin, accompanied with high concentrations of soluble proteins was found in a TLFB culture exposed to a higher energy dissipation rate, 16 kW m-3, instead of 2 kW m-3, due to a higher stirrer speed (1000 instead of 500 rpm). The hypothesis that this is a result of mechanical stress is discussed in context with the common view that cells like E. coli, which are smaller than the Kolmogoroff’s microscale of turbulence, should not be influenced by the turbulence. TLFB cultured cells exhibited more stable cytoplasmic membranes when treated with osmotic shock as compared to the GLFB cultured cells. The concentrations of DNA and soluble proteins in the periplasmic extracts from the TLFB cultured cells were lower than from GLFB cultured cells. In addition, the specific productivity of periplasmic β-lactamase was higher in the TLFB cultures, suggesting that this technique could be an alternative for protein production. The solubility of a partially aggregated recombinant protein increased in the TLFB compared to the GLFB cultures. However some time after induction, in spite of the gradually declining temperature, the soluble fraction decreased. For obtaining better understanding of the performance of the process and for identifying critical parameters, a mathematical model was developed based on the growth, energy and overflow metabolism at non-limiting nutrient conditions. The temperature-dependent maximum specific glucose and oxygen uptake rates were determined in pH-auxostat cultures for temperatures ranging from 18 to 37 °C. A dynamic simulation model of the TLFB technique was developed and the results were compared to experimental data. The simulation program was also used for sensitivity analysis of some physiological and process parameters to study the impact on biomass concentration and temperature profiles. An effect on the biomass concentration profile but not on the temperature profile was observed when changing the oxygen transfer coefficient. If the maximum specific glucose uptake rate was altered, or if the glucose concentration was permitted to assume other values, the temperature profile but not the biomass concentration profile was influenced. Cell death affected both the biomass concentration profile and the temperature profile.
Keywords: endotoxin, Escherichia coli, fed-batch technique, glucose-limitation, mathematical model, mechanical stress, metabolic rates, osmotic shock, outer membrane, overflow metabolism, pH-auxostat, sensitivity analysis, simulation, stress response, temperature-dependence, temperature-limitation.
This book is especially dedicated to you…
Read it! (Yes, you.)
No…no no no NO! Don’t shut the book, don’t shut the book. DON’T…
LIST OF PUBLICATIONS
This thesis is based on the following publications, which will be referred to in the text with
their Roman numerals.
I. Control of Endotoxin release in Escherichia coli fed-batch cultures. Svensson M,
Han L, Silfversparre G, Häggström L, Enfors S-O. Bioproc. Biosyst. Eng. (2005) 27:91-
98.
II. Osmotic stability of the cell membrane of Escherichia coli from a temperature-
limited fed-batch process. Svensson M, Svensson I, Enfors S-O. Appl Microbiol
Biotechnol. (2005) 67(3):345-50.
III. Modeling of temperature-dependent growth of Escherichia coli in a pH-auxostat
and a temperature-limited fed-batch culture. Svensson M and Enfors S-O. (2006)
Submitted.
IV. Impact of stirring on the endotoxin release from Escherichia coli. Svensson M and
Enfors S-O. (2006) Manuscript.
In addition, previously unpublished results are included.
Additional publication not included in thesis
Dual substrate cultivation. Silfversparre G, Enfors S-O, Svensson M (2002) PCT No:
WO0246371.
TABLE OF CONTENTS
INTRODUCTION ........................................................................................................................................................ 1
OBJECTIVES ................................................................................................................................................................ 3
GROWTH CONTROL TECHNIQUES ................................................................................................................... 5
GLUCOSE LIMITATION ................................................................................................................................................ 7 TEMPERATURE LIMITATION (I) .................................................................................................................................. 7 PH-AUXOSTAT (III)..................................................................................................................................................... 9
PHYSIOLOGICAL RESPONSES........................................................................................................................... 13
STRESS RESPONSES ................................................................................................................................................... 13 THE E. COLI CELL AND OUTER MEMBRANES............................................................................................................ 15 ENDOTOXIN RELEASE (I) .......................................................................................................................................... 17 THE INFLUENCE OF STIRRING ON ENDOTOXIN RELEASE (IV) ................................................................................. 19 TEMPERATURE-DEPENDENT CYTOPLASMIC MEMBRANE STABILITY (II) ................................................................ 20
PROTEIN PRODUCTION ....................................................................................................................................... 23
PRODUCTION RATE AND PROTEIN SOLUBILITY (II) ................................................................................................. 25
MODELING THE TEMPERATURE-DEPENDENT RATES........................................................................... 29
THE OXIDATIVE AND OVERFLOW PATHWAYS.......................................................................................................... 29 MATHEMATICAL MODEL (III) .................................................................................................................................. 31 TEMPERATURE-DEPENDENT METABOLIC RATES (III) ............................................................................................. 33 SENSITIVITY ANALYSIS PERFORMED BY SIMULATIONS (IV)................................................................................... 36
CONCLUDING REMARKS .................................................................................................................................... 41
NOMENCLATURE ................................................................................................................................................... 43
ACKNOWLEDGEMENT......................................................................................................................................... 45
REFERENCES............................................................................................................................................................ 47
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
1
INTRODUCTION
Biotechnology has been a major participant in the global industry ever since the development
of the recombinant DNA technology in the 1970’s. The number of products arising from
modern biotechnology, e.g. recombinant proteins produced from hosts with foreign gene
inserts, is large and continues to grow. The largest market shares are in the pharmaceuticals,
pulp and paper, and food and agriculture sectors (Bull et al. 2000). Over 60 % of the produced
enzymes used by the food, detergent and starch-processing industries are recombinant. About
eighty biotechnology drugs (recombinant protein drugs, vaccines and monoclonal antibodies)
were available on the market in the year of 2000 and even more were in clinical trials.
Examples of recombinant therapeutic proteins are erythropoietin (EPO), human growth
hormone (hGH), and human insulin (Demain 2000).
Among the microorganisms used in the biotechnology industry, Escherichia coli is one of the
best characterized both genetically and physiologically. It is frequently used because it is a
fast-growing organism; able to reach high cell-densities and growing on cheap, defined
media. The cultivation process is performed in the enclosed environment of a bioreactor in
one of the three main modes of cultivation; batch, fed-batch or continuous cultivation (fig 1).
In batch cultures, (fig 1, left), the essential substrates are included prior to inoculation,
however pH-titrating agents and oxygen are added to the culture. The growth is exponential
until some essential substrate becomes growth rate limiting, or until the culture is inhibited by
e.g. accumulated acetate, a by-product formed in the so-called overflow metabolism of E.
coli. The fed-batch culture (fig 1, center) is the most frequently used cultivation mode. The
culture is continuously fed with one or several essential substrate components in addition to
the titrating agent and the oxygen supply. Typically in fed-batch cultures, the substrate
concentration in the feed is very high to minimize the dilution of the culture. Furthermore, the
feeding rate is lower than the maximum substrate uptake rate, thus limiting the oxygen
consumption rate and the cooling demand of a culture. Commonly, by-product formation
(acetate) is suppressed by the limited substrate uptake rate in the fed-batch cultures. The
resulting cell concentration is usually higher than in a batch culture. Growth may be either
exponential or assume other rate profiles, depending on the flow rate. In this investigation, the
INTRODUCTION
2
fed-batch technique is further extended to include also non-limiting substrate feeds. The
continuous cultivation technique, (fig 1, right), has inlet streams for complete medium,
titrating agents and oxygen and an outlet stream for culture broth. In a continuous culture at
steady state conditions, the concentrations of all nutrients and the culture volume are constant
(Herbert et al. 1956). The specific growth rate is also constant at steady-state conditions and is
equal to the dilution rate if no cell death or recirculation occurs.
Figure 1. The three main techniques used for cultivation of microorganisms; batch (left), fed-batch (center),
and continuous cultivation (right). The inlet streams (arrows pointing in to the reactor) are for acids or bases
(H+/OH-), oxygen (O2) and feeds of substrates (F). The outlet stream (pointing out from the reactor) is for
culture broth (F).
One of the challenges for biotechnology processes is the limiting analytical techniques
available for evaluating product quality on-line or at-line (Larsson and Lam 2004). Today, the
ambition is to obtain the information from process data, rather than by end-point analysis, and
the degree of process understanding is reflected by the ability to predict the product quality.
The pharmaceutical industry is encouraged by the American Food and Drug Administration in
the process analytical technology framework to ensure high product quality by gaining
knowledge of the process and to identify its critical parameters (U.S Department of Health
and Human Services et al. 2004). Modeling as a tool for identifying such parameters, is of
special interest because of the low cost and time demand.
H+/OH-
O2 F F
F
H+/OH-
O2 H+/OH-
O2
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
3
Objectives
In this thesis, the temperature-limited fed-batch technique (TLFB) was developed to suppress
the excessive release of high concentrations of endotoxins found in the medium in
Escherichia coli fed-batch cultures at low specific growth rates and severe glucose limitation.
The productivity and physiology of the culture were evaluated in different modes of
cultivation.
Cultures producing a periplasmic protein and either grown with the TLFB or the glucose-
limited fed-batch (GLFB) technique were subjected to osmotic shock extraction. After the
treatment, the productivity was determined and the cytoplasmic membrane stability was
studied by analyzing DNA and soluble proteins in the extract. Furthermore, the solubility of a
recombinant, partially aggregated cytoplasmic protein was measured after production in
GLFB and TLFB cultures. A simulation model including the temperature-dependence of the
metabolic rates of glucose and oxygen uptake was developed. The parameters used in the
model were determined in pH-auxostat cultures at non-limiting substrate concentrations. The
model was further used for sensitivity analysis in order to identify critical parameters in the
culture.
INTRODUCTION
4
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
5
GROWTH CONTROL TECHNIQUES
In the present investigation, a fed-batch technique limited by the temperature was developed
for growth control (paper I-IV). The TLFB technique was compared to the commonly
applied GLFB technique (paper I, II). Furthermore, the pH-auxostat, a continuous cultivation
process, was utilized in paper III with temperature-limited growth control for the
determination of the temperature-dependent metabolic rates. The principles for the above
mentioned growth control techniques are addressed in this section.
To define how the concentration of a state variable (e.g. B) is influenced by process
conditions in a bioreactor, a mass balance for component B is usually written:
acc in out prod
!
dB
dt=Fin
V(B
i" B) +
Fout
V(B "#B) + r
B [g l-1 h-1]
(1)
Eq. 1 is fractionated as indicated in an accumulation (acc) term, an in- (in) and out-going
(out) term and a production term (prod). F is the flow rate either in or out from the fermenter,
V is the cultivation volume in the fermenter. δ is the fraction of B not recirculated, (δ=1 when
there is no recirculation). The volumetric reaction rate, rB, will here be rewritten as qB X. qB is
the specific production rate of B and X is the biomass concentration.
The mass balance (eq. 1) may be applied for all three modes of cultivation. Solving for the
state variables of biomass concentration (X), acetate concentration (A), glucose concentration
(S), dissolved oxygen tension (DOT), product concentration (P) and the volume (V) in a fed-
batch process and a continuous cultivation without recirculation of the component (δ=1) or
cell death may be written according to equations 2-7 (table 1).
GROWTH CONTROL TECHNIQUES
6
Table 1. The mass balance equations of biomass (X), acetate (A), glucose (S), dissolved oxygen (DOT),
product (P), and volume (V) in a fed-batch process and in a continuous cultivation process with no cell
recirculation and no cell death.
Biomass
!
dX
dt=F
V("X) + µX (2)
Acetate
!
dA
dt=F
V("A) + qA X (3)
Substrate
!
dS
dt=F
V(Si " S) " qSX (4)
Dissolved oxygen
!
dDOT
dt= KLa(DOT *"DOT ) " qOXH (5)
Product
!
dP
dt= µ("P) + qP X (6)
Volume
!
dV
dt= F (7)
µ is the conventional denotification of the specific growth rate. qA, qS, qO, and qP are the
specific rates for acetate, glucose, oxygen and product, respectively. Eq. 6 describes the mass
balance for growth-associated products, e.g. intracellular products.
Eq. 5 describes the oxygen transfer from the air into the medium solution and the unit is [%
air sat. l-1 h-1]. Oxygen exhibits a limited diffusivity and solubility in aqueous solutions. The
volumetric oxygen transfer coefficient of the reactor (KLa) and is the dissolved oxygen
tension at equilibrium with the oxygen concentration in the gas bubble (DOT*) describe the
oxygen transfer capacity of the reactor. Henry’s constant (H) relates the dissolved oxygen
concentration in g l-1 to % air saturated. Parameters that influence the oxygen transfer capacity
are fermenter design (stirrer, baffles, sparger and vessel dimension), medium (oxygen
solubility, viscosity and surface tension), and the morphology of the microorganism.
For a facultative microorganism such as E. coli, oxygen limitation will cause the culture to
switch into mixed acid fermentation (Böck and Sawers 1996). The ATP generation is
significantly lower in anaerobic cultures and as a result, the rate of glycolysis increases to
obtain enough energy for growth. Large amounts of end products such as formate, succinate,
lactate, acetate and ethanol, which are not desired in the aerobic process, are formed. Thus,
various methods to control growth in high-cell-density cultures so that the oxygen
consumption rate of the culture does not exceed the oxygen transfer capacity were developed
(Lee 1996; Shiloach and Fass 2005).
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
7
Glucose limitation
Growth rate control by an essential substrate is performed with continuous feeding. The
feeding rate may be either preset or feedback controlled. The preset feeding profile is
typically preceded by a batch phase followed by either an exponential or a constant feeding
rate profile (Riesenberg et al. 1991).
Many different carbon and energy sources have been used as the growth-limiting substrate for
different production purposes in different microorganisms (Yamané and Shimizu 1984) but
glucose and other sugars are the most frequently utilized in fed-batch and continuous
cultivations. Glucose limitation is easy to control and below specific growth rates of 0.3 h-1,
the acetic acid from the overflow metabolism of E. coli is not produced (El-Mansi 2004;
Meyer et al. 1984).
In a GLFB culture with constant feed, the glucose concentration approaches quasi steady-state
(dS/dt≈0) and S << Si. Thus, the feeding rate of ingoing glucose must be lower than the
maximum glucose uptake rate of the cells:
!
FSi < qS,maxXV (8)
Figure 2A, shows a simulation of a GLFB process in which the glucose feed was feed-back
regulated by the DOT signal.
Temperature limitation (I)
In the TLFB technique, the glucose limitation in the GLFB culture is replaced by temperature
limitation (fig 2B). The temperature was regulated to keep the DOT at a set-point value (30
%) in order to limit the oxygen consumption rate of the culture. A gradually declining
temperature (T) controlled the growth rate (µ) and the oxygen consumption rate while all
other nutrients, including glucose, were in excess. It is a patented technique for the control of
endotoxin release (Silfversparre et al. 2002).
The glucose feed in a TLFB culture was controlled so that the glucose neither accumulated
too much (preferably dS/dt ≈ 0), still preventing excessive acetate formation, nor became
limiting, resulting in a GLFB process with endotoxin release. In the TLFB cultures an on-line
glucose analyzer monitored the glucose concentration and the feed rate was manually adjusted
(paper I-IV).
GROWTH CONTROL TECHNIQUES
8
The glucose uptake rate was near maximum and the feeding rate was adjusted close to the
maximum glucose uptake rate of all the cells:
!
F (Si " S) # qS,maxXV (9)
Another feeding technique developed by Åkesson et al. (Åkesson et al. 2001) was applied for
TLFB cultures at other laboratories (de Maré et al. 2005; Ramchuran 2005). In this technique
the feed rate was pulsed up- or downward for short periods of time. The feeding rate was
regulated so that the monitored DOT signal did not respond to up-pulses but increased in
response to down-pulses. The interpretation of the response was that the glucose
concentration was high enough to obtain maximum respiration and low enough to avoid
acetate formation.
Temperature limitation has been applied for growth control also in continuous cultivations,
e.g. in the pH-auxostat (paper III). Bauer and White used temperature variations in batch
cultures and obtained higher cell concentration than in batches grown at a constant
temperature (Bauer and White 1976).
A: GLFB B: TLFB
0
10
20
30
40
50
0
20
40
60
80
100
0 5 10 15 20
X (
g l
-1),
F (
ml h
-1)
100 µ
(h-1), D
OT
(%)
time (h)
F
X
DOT
µ
0
10
20
30
40
50
0
20
40
60
80
100
0 5 10 15 20
X (
g l
-1),
T (
°C)
100 µ
(h-1), D
OT
(%)
time (h)
T
µ
DOT
X
Figure 2. Simulations of A: a GLFB and B: a TLFB culture. The glucose (A) and temperature (B) limitation
started at approximately 5 hours. The initial volume in the batch phase was 5 l. For the simulation model
description and parameters, see paper III. Feed rate (F), Biomass concentration (X), Dissolved oxygen tension
(DOT), Specific growth rate (µ), Temperature (T).
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
9
pH-auxostat (III)
The pH-auxostat is a continuous cultivation technique, only stable during growth conditions
when the concentrations of nutrients in the medium are non-limiting (Martin and Hempfling
1976). The technique has been applied for the determination of temperature-dependent
metabolic rates in different microorganisms (Larsson et al. 1990; Pham et al. 1999;
Satroutdinov et al. 2005; Yu et al. 2005), for metabolic studies (Zhao and Lin 2002), in the
dairy industry (Laht et al. 2002; MacBean et al. 1979), for production of filamentous fungi
(Simpson et al. 1995), for shear rate studies (Verschuren and Van der Heuvel 2002) and for
industrial waste-water treatment (Brune et al. 1982).
When E. coli uses ammonia as nitrogen source, a proton is generated:
α C6H12O6 + β NH4+ + γ O2 → δ CaHbOcNd + ε CO2 + φ H2O + β H+
glucose biomass
If other acids or bases are involved in the metabolism, the formula above must be
complemented. In an E. coli pH auxostat acetic acid is produced as a result of the overflow
metabolism:
α C6H12O6 + β NH4+ + γ O2 → δ CaHbOcNd + ε CO2 + φ H2O + η H+ + ι Ac-
Mass balances for the state variables in a pH-auxostat may be written according to eq. 1-7. A
simulation of a pH-auxostat run at different temperatures, resulting in different dilution rates,
is shown in figure 3A. In comparison, the more frequently used continuous cultivation
technique, the chemostat, controlled by different substrate feed rates (eq. 8) resulting in
different dilution rates is shown in figure 3B.
A pH-auxostat may be operated by either of two methods, (Siano 1999), by supplying the
glucose and the pH-control reagent with two separate inlet streams or by adding the pH-
control reagent into the fresh medium and supply this mixture in one single inlet stream. In
the present investigation, the latter of the two methods was applied. The driving force for the
inlet medium feed is the pH-difference of the inlet medium and the fermenter medium.
GROWTH CONTROL TECHNIQUES
10
A: pH-auxostat B: Chemostat
0
2
4
6
8
10
0
20
40
60
80
100
0 20 40 60 80 100
X (
g l
-1)
10
0 µ
(h-1), D
OT
(%)
37 °C 21 °C25 °C29 °C33 °C
µ
DOT
X
time (h)
0
5
10
15
20
0
20
40
60
80
100
0 20 40 60 80 100
µ
DOT
X
time (h)
10
0 µ
(h-1), D
OT
(%)
X (
g l
-1)
0.6 h-1
0.5 h-1
0.4h-1
0.3 h-1
0.2 h-1
Figure 3. Simulations of A: a pH-auxostat, which is growth limited by different temperatures (37-
21 °C) and B: a chemostat, which is growth limited by glucose-limiting feed rate resulting in
different dilution rates (0.6- 0.2 h-1). For simulation model and parameters, see paper III. Biomass
concentration (X), Dissolved oxygen tension (DOT), Specific growth rate (µ).
A mass balance based on the proton concentration, H+ in the system may be written based on
equation 1:
!
dH+
dt=F
VNH
4
+"R
H+NH
4
+ # rH
+ (9)
!
NH4
+ is the ammonia concentration, used for nitrogen source and for neutralization. RH+/NH4+
is the stoichiometric conversion of proton from ammonia and rH+ is volumetric production
rate of protons. Because protons are generated when nitrogen is incorporated into biomass and
when acetate is produced, rH+ is the sum of the volumetric production rate of biomass rX and
acetate rA with respectively stoichiometric conversion factor, RH+/X and RH+/A:
!
rH
+ = rX RH +X
+ rARH +A
, and rX = µX and rA = qA X = µA
At steady state, there is no accumulation of protons, dH+/dt=0, and the specific growth rate is
the same as the dilution rate, µ = F / V. The concentration of ammonia at steady-state
conditions in a pH-auxostat can be calculated according to:
!
NH4+
= (RH
+XX + R
H+AA) "
1
RH
+NH4
+
(10)
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
11
Equation 10 implies that the added base concentration into the fresh medium feed controls the
acetate and biomass concentration at steady state. However, it is true only if all nutrients in
the fermenter are in excess. Inserting qS =µ / YX/S (YX/S is the yield of biomass per added
glucose), in the glucose mass balance (eq. 4) at steady-state conditions, the glucose
concentration in the inlet fresh medium is:
!
Sin
>X
YX S
(11)
If a lower inlet concentration of glucose was supplied to the medium, the stop-flow condition
described by (Larsson et al. 1990; Minkevich 1986; Siano 1999) would occur.
GROWTH CONTROL TECHNIQUES
12
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
13
PHYSIOLOGICAL RESPONSES
A sudden increase of endotoxin release in GLFB cultures at low growth rates and severe
glucose limitation was observed. To investigate whether the release depended on the low
growth rate or the severe glucose limitation, the TLFB technique was utilized, which is
controlled by the oxygen consumption rate and the specific growth rate is limited by the
temperature instead of glucose. In the TLFB cultures, the endotoxin release was repressed
(paper I).
Some other physiological characteristics of TLFB cultures were observed in the present
investigation and will be discussed in this section. The shedding of endotoxins and the degree
of cell lysis increased significantly at a high agitation speed in a TLFB culture (paper IV).
Samples from TLFB and GLFB cultures were subjected to osmotic shock for extraction of a
periplasmic protein. Lower concentrations of soluble proteins and DNA were found in
extracts of cells grown at low temperatures than in extracts of cells grown at high
temperatures (paper II).
Stress responses
E. coli possesses several stress response systems assisting in the survival when the
environment becomes harsh (Enfors 2004). Several sensors, sensitive to different
environmental parameters, control the response genetically. The sensors trigger the
transcription of genes encoding for sets of proteins necessary for growth and survival under
the prevailing conditions. The environmental changes that E. coli is exposed to during culture
conditions are reflected in the resulting growth and productivity (Hoffmann and Rinas 2004);
therefore, the knowledge of how the cell responds physiologically to stress is important in
biotechnology.
The stringent response is induced by carbon and nitrogen (amino acids) limitations by
increasing the pool of guanosine tetraphosphate, ppGpp, which is an effector molecule that
adjusts the protein synthesis rate to the current conditions. The main target is to down-regulate
the growth-related gene transcription of tRNA and rRNA biosynthesis (Magnusson et al.
2005).
PHYSIOLOGICAL RESPONSES
14
The general stress response is induced by e.g. reduced growth rate, high cell density, low
temperature, high osmolarity, low pH, carbon starvation and high temperature (Hengge-
Aronis 2002). The sensor, σS (RpoS), is able to induce a large number of genes relevant for
the protection of the cell.
Disturbances affecting the periplasmic space and the outer membrane (OM), e.g. antibiotics,
toxic compounds, heat or cold, induce the envelope stress response (Raivio 2005; Tam and
Missiakas 2005). The LPS and OM porins, which are involved in the maintenance, adaptation
and protection of the cell are synthesized upon induction. This response may also be
associated with pathogenic functions (Rhodius et al. 2006).
Cold shock
Upon cold shock, which is induced by a downshift in temperature, a transient arrest in growth
occurs due to a blockage at the translation initiation. To resume growth, a number of proteins
are induced, considered essential for the adaptation to the low temperature (Jones et al. 1987;
Kim et al. 2005). CspA, a major cold-shock protein, functions as an RNA chaperone, involved
in the re-stabilization of the nucleic acids after temperature-downshifts (Jiang et al. 1997).
Etchegaray et al. reported that levels of CspA were found after temperature shifts from 37
down to 30 °C, however the highest levels were found after shifts down to 20°C or 15 °C.
CspB, a homologue of CspA, was found only after shifts from 37 °C down to 20 °C or below
(Etchegaray et al. 1996). Thus, the thermoregulated cold-shock proteins CspA and CspB are
synthesized to the highest levels below 20 °C.
In fact, abrupt up- or down-shifts in temperature within the range 37-20 °C may be performed
without an arrest in growth rate (Ingraham and Marr 1996). Herendeen et al. performed
continuous cultivations of E. coli at temperatures ranging from 46-13.5 °C. The specific
growth rates of the continuous cultures formed a linear relationship in a log-scaled diagram
between 21-37 °C but deviated outside this interval (Herendeen et al. 1979).
When a culture is exposed to a lower temperature, it responds differently to a cold shock
(sudden down-shift) compared to a continuously declining temperature, to which a culture
may adapt smoothly. For instance, the culture may adapt by a decrease in growth rate and an
alteration in the membrane composition to maintain its fluidity, which is addressed further
below.
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
15
The E. coli cell and outer membranes
E. coli is Gram-negative, hence the cytoplasm is surrounded by two lipid-based membranes,
the cytoplasmic membrane (CM) and the outer membrane (OM), separated by the periplasmic
space containing the cell wall (fig 4). The two-layer phospholipid CM is responsible for the
regulation of uptake of nutrients and metabolites (Kadner 1996). The two-layer OM consists
of the inner and the outer leaflet, mainly containing phospholipids and lipopolysaccharides
(LPS), respectively. Due to the gel-like structure of the LPS molecule (Nikaido 2003), the
outer layer functions as a barrier against various harmful compounds such as digestive
enzymes (Nikaido 1996). The periplasm serves as a buffered space, separating the cell from
the local surroundings (Oliver 1996). It contains a number of enzymes along with components
destined for incorporation into the outer membrane (OM), or the cell wall. However the
protein concentration in the periplasm is much lower than that in the cytoplasm. Directing
recombinant proteins to the periplasm by secretion is therefore an advantage. The cell wall is
very rigid, able to withstand high osmotic pressure, extreme pH and temperature conditions
(Beveridge 1999). It consists of complex heteropolysaccharides and is covalently linked to
lipoproteins embedded in the OM (Park 1996).
Figure 4. A schematic figure of the cytoplasmic and the outer membranes surrounding the E. coli cell. The
periplasmic space contains the cell wall, which contributes to the robust structure of the cell.
PHYSIOLOGICAL RESPONSES
16
The LPS consists of three parts: i) lipid A, the hydrophobic anchor, being the toxic part
associated with the immune response in mammals ii) the polysaccharide core, functioning as a
transport barrier because of their lipophilic and often negatively charged carbohydrate chains
and iii) the polysaccharide O-antigen (Raetz 1996). In pharmaceutical production, the removal
of LPS (the endotoxins) is of high priority since even very low traces cause immunogenic
responses in mammals when injected intravenously (Schletter et al. 1995). When inhalated,
endotoxins found in the aerosols cause pulmonary diseases (Johnston et al. 1998). The LPS
molecule is heterogenous and only partially soluble. It forms aggregates due to its amphiphilic
nature in both aqueous and organic solvents. Hence, this molecule is not easily removed and
the removal is especially difficult from biological products such as proteins, polysaccharides
and DNA. Examples of purification procedures involve ion-exchange chromatography, two-
phase extraction and affinity techniques (Petsch and Anspach 2000).
Temperature adaptation of the cytoplasmic and outer membranes
When a culture is exposed to lower temperatures, the fluidity of the cytoplasmic and outer
membranes of the cells decreases. Increased fluidity for cell adaptation is obtained by
increasing the proportions of unsaturated fatty-acids (UFA) at the expense of the saturated and
long-chain fatty-acids in both the phospholipid (Sinensky 1974) and the lipid A (Vorachek-
Warren et al. 2002) structures. UFAs possess a greater degree of flexibility, hence possessing
a lower phase transition temperature than saturated fatty acids. In table 2, the phase transition
temperatures of lipids derived from membranes of E. coli K-12 W3102, grown at three
different temperatures are listed (Sinensky 1974). The phase transition temperature for the
lipids decreases with decreasing growth temperature and this is related to the different
fractions of UFA in the lipids (Casadei et al. 2002; Cronan and Gelmann 1973; Sullivan et al.
1979).
Table 2. Phase transition temperatures from E. coli W3102 grown at different temperatures (Sinensky 1974).
Temperature of growth
Lipid phase transition temperature
43 °C 27 °C
30 °C 16 °C
15 °C -1 °C
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
17
Endotoxin release (I)
During normal growth, vesicles or fragments of OM components were released (Hoekstra et
al. 1976). The vesicles contained the same composition and content of phospholipids and
enzyme activity as the OM, however the content of lipoprotein molecules was less in the
vesicles. The lipoproteins in the OM are linked to murein in the cell wall, hence involved in
the envelope stabilization, and the authors concluded that the shedding of OM fragments does
not occur at the linkages. Wensink and Witholt found the same results and stipulated that the
OM vesicles are released when the OM is expanding faster than the underlying peptidoglycan
layer (Wensink and Witholt 1981). It was suggested that the shedding of OM components was
a result of the cell wall turnover in which peptidoglycan fragments from the cell wall were
excised (Beveridge 1999; Doyle et al. 1988; Zhou et al. 1998). Zhou et al. argued that if some
of the fragments were unable to penetrate the OM, they would probably be transported out
from the periplasm in vesicles. The OM forms blebs on the cell surface, which later are shed
off. The shedding of OM and cell wall fragments is mediated by autolysine, an enzyme which
was found in the vesicles analyzed by Zhou et al..
Certain factors may increase the rate of release of OM. Examples are phage infection (Loeb
and Kilner 1978), EDTA and heat treatment (Marvin et al. 1989; Pelltier et al. 1994; Tsuchido
et al. 1985), increased growth temperature (Mackowiak 1984), amino acid deprivation
(Ishiguro et al. 1986), antibiotics (Bucklin et al. 1994), citrate buffer and Tris buffer exposure
(Irvin et al. 1981).
High concentrations of endotoxins, 23 mg g-1 of biomass, were found in the medium in GLFB
cultures (paper I, fig 5 A). The extensive shedding corresponded to about 70 % of the total
lipopolysaccharide fraction of the E. coli cell (Neidhardt et al. 1990). Phospholipids and other
carbon containing outer membrane components were found in the medium at concentrations
corresponding to similar fractions as that of the endotoxins. The medium was analyzed for
soluble proteins and DNA, which could indicate cell lysis, however only low concentrations
were found. This was first observed by Han et al. by using a carbon mass balance (Han et al.
2003). The decreasing trend in the carbon recovery from initially 100% to about 90% based
on analyses of the biomass, carbon dioxide, acetate and glucose in three GLFB cultures
revealed that there were some carbon containing elements not included in the balance. The
concentrations of OM components determined in the medium corresponded to the missing
fraction.
PHYSIOLOGICAL RESPONSES
18
A. GLFB culture 37°C B. TLFB culture
0
5
10
15
20
25
0
5
10
15
20
25
30
0 5 10 15 20
Endoto
xin
(m
g g
-1)
Bio
mass (g
l -1)
Time (h)
0
5
10
15
20
25
0
5
10
15
20
25
30
0 5 10 15 20
Time (h)
Endoto
xin
(m
g g
-1)
Bio
mass (g
l -1)
C. GLFB culture 20 °C
0
5
10
15
20
25
0
5
10
15
20
25
30
35
0 50 100 150 200
Endoto
xin
(m
g g
-1)
Bio
mass (g
l -1)
Time (h)
Figure 5. The endotoxin release (filled circles)
and biomass concentration (open circles) of
cultures grown with different techniques. A: the
GLFB technique at 37 °C. B: the TLFB
technique. C: the GLFB technique at 20 °C. Fed-
batch starts at about 5 hrs in A and B, and at 50
hrs in C. (Data compiled from paper I).
In TLFB cultures on the other hand, the endotoxin concentrations were very low, 1.3 mg g-1
of biomass (paper I, fig 5 B). The shedding of OM components in a GLFB culture increased
significantly at a specific growth rate of 0.1 h-1. The synthesis of LPS is under stringent
control (Ishiguro et al. 1986), which is induced at a late phase of GLFB cultures (Andersson
et al. 1996; Nyström 2004; Teich et al. 1999). However the endotoxins were not released as a
result of the low growth rate, as proven by the TLFB cultures.
To investigate whether the suppressed release of endotoxins in the TLFB cultures was caused
by the low temperature or by the high glucose availability, a GLFB culture was performed at
20 °C, which resulted in a high level of endotoxin, 20 mg g-1 of biomass (fig 5 C). Thus, the
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
19
conclusion was that the stability of the OM in TLFB cultures must be due to the glucose
availability, rather than the gradually decreasing temperature or the low growth rate (paper I).
The influence of stirring on endotoxin release (IV)
Ramchuran did not observe any difference between the endotoxin concentrations shedded into
the medium of an E. coli BL21 culture at the end of GLFB and TLFB processes (Ramchuran
2005). The culture conditions were approximately the same, however the agitation speed used
by Ramchuran was higher than what was used in this investigation.
Generally, it is assumed that a cell, such as E. coli is insensitive to the mechanical stress
exerted in bioreactors because their size is smaller in relation to the smallest eddies capable of
exerting turbulent flows (Thomas 1990). This microscale of turbulence is inversely
proportional to the energy dissipation rate, which is proportional to the stirrer rate, if the same
medium, reactor, stirrer and baffles are used (Chamsarta et al. 2005).
Still, there are some reports claiming that mechanical stress exerted from agitated bioreactors
effect bacteria and yeast. Examples of effects arising from higher mechanical stress reported
in the literature are an increased cell volume, (Edwards et al. 1989), a reduction of the general
transcription factor σB (Sahoo et al. 2003) and an inhibited growth and enzyme productivity
(Toma et al. 1991).
To investigate possible reasons for the higher endotoxin levels released in the TLFB cultures
of Ramchuran, two TLFB cultures were performed in this study (paper IV), one with higher
agitation speed, 1000 rpm, and one with lower agitation speed, 500 rpm, corresponding to
dissipation energies of 2 and 16,5 kW m-3, respectively. The resulting endotoxin concentration
at the higher stirrer speed was about 12 mg g-1 of biomass in the end (fig 6) compared to 23
mg g-1 of biomass in a GLFB culture (fig 5 A) and below 1 mg g-1 of biomass in a TLFB
culture with the lower stirrer speed (fig 5 B). The protein concentration in the medium was
also significantly higher in the culture with higher agitation speed (40 mg g-1 instead of 3 mg
g-1 at the low agitation speed) indicating cell lysis of about 10 % (paper IV).
PHYSIOLOGICAL RESPONSES
20
0
5
10
15
20
25
0
5
10
15
20
25
30
35
40
0 5 10 15 20
Endoto
xin
(m
g g
-1)
Bio
mass (g
l -1)
Time (h)
Figure 6. The endotoxin release (filled circles)
and biomass concentration (open circles) of
cultures grown with the TLFB technique at 1000
rpm. Fed-batch starts at about 5 hrs. (Data
compiled from paper IV)
Hewitt et al. compared chemostat cultures of E. coli W3110 with different agitation speeds
(Hewitt et al. 1998). The viability or the cytoplasmic membrane potential of the cells for
different agitation speeds as measured with flow cytometry were the same. Analysis by
scanning electron microscopy indicated that an outer polysaccharide layer was stripped away
at the higher agitation speed. However, no effect was observed when treating the cells with
Rhodamin 123, a dye which stain cells with permeabilized OM. The conclusion drawn was
that the stability of the OM responded indifferently to the increasing agitation speed. In that
work, endotoxin analysis was not reported.
Temperature-dependent cytoplasmic membrane stability (II)
Constitutive production of periplasmic homologous β-lactamase was used as a reporter
protein in two GLFB cultures and three TLFB cultures (paper II). The periplasmic content
was extracted by the osmotic shock technique. It is a technique, which selectively extract
proteins of small native size, whereas large macromolecules are retained by the bacterial cell
(Vásquez-Laslop et al. 2001). The use of osmotic pressure to disrupt the OM in order to
retrieve periplasmic products without extensive lysis is a large-scale applicable technique
(Castan et al. 2002; Chaib et al. 1995). In the osmotic shock extraction, the cells are
suspended in a highly concentrated and cold (4°C) sucrose solution, creating an osmotic
pressure in the periplasm. It forces the cells to extract water from the cytoplasm into the
periplasm, which increases its volume so that the OM dissociates from the murein layer (Koch
1998). The hyperosmotic solution also contained EDTA, which permeabilizes the OM
(Pelltier et al. 1994), causing the OM to dissociate.
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
21
From the TLFB cultures, the average β-lactamase activity recovered from the extract of
samples withdrawn from the culture was about 9 kU g-1 of biomass (paper II). Soluble
proteins and DNA in the extracts were also analyzed. In figure 7, the β-lactamase purity, i.e.
the activity per mg of soluble protein, and the DNA concentration per g of biomass are shown
for one TLFB culture. The purity increased with increasing cultivation time and decreasing
temperature, from 100 to 450 U mg-1 protein. The DNA concentration in the extracts
decreased with increasing cultivation time and decreasing temperature.
In the two GLFB cultures the average β-lactamase activity recovered was 7 kU g-1 of biomass
(paper II). The purity of the target protein increased slightly with the cultivation time from
100-150 U mg-1 protein and the DNA concentration slightly increased from 2 to 3 mg g-1 of
biomass (fig 8).
The contaminations in the periplasm of soluble proteins and DNA, analyzed in samples
withdrawn from the TLFB cultures were lower than in extracts derived from the GLFB
cultures. Due to the DNA content, the contaminations probably originated from the cytoplasm
of cells with instable cell membranes. The endotoxin activity measured in the extracts was
similar in all cultures (paper II).
The results indicate that the cytoplasmic membrane (CM) of cells grown down to 18 °C was
more stable towards osmotic shock than cells grown at 37 °C. The membranes from cells
grown at 37 °C incorporate a higher amount of saturated fatty acids and when treating them at
lower temperatures, the membranes undergo a reversible phase transition, making them less
flexible and hence fragile (Sinensky 1974). Since the fraction of unsaturated fatty acids must
be higher in membranes from cells grown by the TLFB technique than from those grown by
the GLFB technique, it is possible that the lower accumulation of DNA and cytoplasmic
protein in the extract of cells grown by the TLFB technique is due to a more stable, i.e. more
fluid, CM.
PHYSIOLOGICAL RESPONSES
22
0
10
20
30
40
50
0
2
4
6
8
10
0 6 12 18
T 6 feb
T 6 feb O_DNA (ug/mg dw)
DN
A (m
g g
-1 dw
)
time (h)
!-lacta
mase (
U m
g-1
pro
tein
), 1
0 *
tem
pera
ture
(°C
)
0
100
200
300
400
500
0
100
200
300
400
500
0
2
4
6
8
10
0 6 12 18
GLFB 09.15.44 06-09-19
O_specAkt (U/mg prot) O_DNA (ug/mg dw)
!-la
cta
ma
se
(U
mg-1
pro
tein
)
DN
A (m
g g
-1 bio
ma
ss)
Time (h) Fig. 7. The specific product activity (filled circles)
and the DNA concentration (open circles) in the
extract from osmotic shock treated samples, and the
cultivation temperature (crosses) from a TLFB
culture of E. coli accumulating β-lactamase in the
periplasm. Fed-batch starts at 0 hrs. (Data compiled
from paper II.)
Fig. 8. The specific product activity (filled circles) and
DNA concentration (open circles) in the extract from
osmotic shock treated samples, withdrawn from a
GLFB culture E. coli accumulating β-lactamase in the
periplasm. Fed-batch starts at 0 hrs. (Data compiled
from paper II.)
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
23
PROTEIN PRODUCTION
The TLFB technique may be an alternative to the GLFB technique for production of
recombinant proteins. The TLFB cultures exhibit similar cell productivity as the GLFB
cultures (paper I), which is an important parameter for intracellular production systems. A
higher productivity of the periplasmic protein β-lactamase was obtained in TLFB cultures
than in GLFB cultures (paper II). In addition, unpublished data (shown below) revealed that
the solubility of a partially aggregated recombinant protein was increasing initially after
induction in a TLFB culture.
The synthesis of recombinant proteins is usually controlled by a promotor, which is either
constitutive, allowing constant expression, or inducible, dividing the process into a cell
production and a protein synthesis stage. Promoters vary in strength and, if inducible, are
activated by different inducers. Generally, inducible promoters result in higher synthesis rates
of the protein. The production rate and the quality of the recombinant proteins depend on the
protein folding efficiency. Incorrectly folded proteins are either subjected to proteolysis,
hence lowering the net production rate, or will aggregate into inclusion bodies, hence forming
biologically inactive proteins (Murby et al. 1996). Aggregates must be refolded to regain
biological activity. However the recovery of inclusion bodies may be an attractive alternative
because inclusion bodies are easy to separate and the product concentration is high, usually
50-90 % (Fahnert et al. 2004).
Protein folding efficiency is enhanced by chaperones and foldases, however the steric
information necessary for the correct folding is in the primary structure of the nascent protein.
The macromolecular concentration (RNA and proteins) in the cytosol is very high (340 mg
ml-1), which enhances the misfolding of proteins compared to the folding in much more dilute
samples in a test tube (Ellis and Hartl 1999). Yet there are reports of enhanced efficiency of
chaperones and foldases due to the high concentration in the cytoplasm. The functionality of
the refolding catalyst protein disulfide isomerase, PDI, increased its efficiency during
crowded conditions (van den Berg et al. 1999).
PROTEIN PRODUCTION
24
Partial aggregation is an unwanted effect caused by insoluble and incorrectly folded proteins,
resulting in reduced biological activity. Heterologues recombinant proteins tend to form
aggregates to a larger extent, especially those from eukaryotes. The translation rate in
prokaryotes are 5-10 times faster than in eukaryotes and the folding is therefore performed
post-translationally in prokaryotes (Ellis and Hartl 1999). They are unable to glycosylate,
which is a feature in higher organisms that enhances the solubility. The oxidation of disulfide
bonds between thiol-groups of cysteines in prokaryotes is hampered by the lower redox
potential of the cytoplasm compared to that of the endoplasmic reticulum of eukaryotes. Thus,
the aggregates formed in the cytoplasm of prokaryotes might be mainly due to the absence of
correct disulphide bonds (Fahnert et al. 2004).
Several strategies of minimizing the aggregate formation and proteolytic activity of
heterologous proteins are presented in the literature. It is an advantage of secreting the product
into the less crowded compartment of the periplasm (van den Berg et al. 1999). Since the
synthesis occurs in the cytoplasm, the product must be tagged by a signal peptide sequence to
be able to be secreted to the periplasm. Here, the spontaneous formation of disulphide bonds
is enhanced due to the slightly oxidizing environment (Fahnert et al. 2004). In addition, the
proteins are less subjected to proteolysis in the periplasm, since most proteases are found in
the cytoplasmic compartment (Rozkov and Enfors 2004).
Low temperature is known to increase solubility of many recombinant proteins. Schein and
Noteborn showed that the solubility of proteins increased when they were produced at 28-30
°C instead of at 37 °C (Schein and Noteborn 1988). The reaction rate is a function of the
temperature as described by the Arrhenius relationship. Hence, protein synthesis, protein
folding and self-association is decreased at the low temperatures (Georgiou and Valax 1996).
The proteolysis rate is also a temperature-dependant parameter. The proteolysis rate for
degrading ZZT2, produced in the cytoplasm in E. coli, was significantly lower for cultures
grown with the TLFB technique, compared to cultures grown with the GLFB technique
(Rozkov 2001). The thermodynamics of the proteolysis reaction rate was supposed to be
responsible for the decrease. Very low specific glucose uptake rates (Boström et al. 2005; Lin
et al. 2004) and high concentrations of inducer (Choi et al. 2000; Ramirez and Bentley 1999;
Sandén 2004) are examples of other culture condition related variables with a resulting
negative effect on productivity. High acetate concentrations inhibit both growth (Han et al.
1992; Luli and Strohl 1990; Xu et al. 1999) and productivity (Konstantinov et al. 1990;
Turner et al. 1994).
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
25
In intra-cellular production systems, the specific growth rate is closely related to productivity
(eq. 6). The cell production rate was the same in the TLFB and the GLFB cultures and the
cell-density obtained was the same (paper I, II). The biomass concentrations of a GLFB and
a TLFB culture are compared in figure 9 and the techniques are equally efficient with respect
to cell productivity. In high cell-density fed-batch cultures applying glucose or temperature
limitation for controlling the oxygen consumption rate, the degree by which growth is limited
depends on the oxygen transfer coefficient of the fermenter, KLa. Indeed, the time required to
produce the same amount of cells is the same by both techniques.
0
5
10
15
20
25
30
0
5
10
15
20
25
30
0 5 10 15 20
Bio
mass (
g l
-1)
Endoto
xin
(mg g
-1 bio
mass)
time (h)
Figure 9. Biomass concentration
(squares) and the released endotoxin
concentration related to biomass (mg g-1
of biomass, circles) in a TLFB culture
(filled symbols) and a GLFB culture
(open symbols). Fed-batch start at
approximately 5 hrs in both cultivations.
(Result from paper I.)
The significant difference in endotoxin concentration, shown in fig 9 and addressed in the
previous section, would favor the TLFB technique for producing extra-cellular products due
to the resulting reduced purification costs. However for extra-cellular production, the cell
productivity is not always related to protein productivity. Very few examples of extracellular
production systems in E.coli exist for recombinant proteins. If the protein is to be transported
over the OM, E. coli exhibits natural secretion mechanisms to export toxic compounds and
some of those may be used for transport of recombinant proteins, but it may also occur by
leakage of periplasmic proteins (Mergulhao et al. 2005; Shokri et al. 2003).
Production rate and protein solubility (II)
The periplasmic protein β-lactamase was constitutively produced in two GLFB cultures and
three TLFB cultures (paper II) and was recovered by osmotic shock as described in the
PROTEIN PRODUCTION
26
previous section. In this section the production rate of β-lactamase is discussed. In figure 10,
the specific production rates of average concentrations of active β-lactamase in three TLFB
and two GLFB cultures are shown. The product activity was measured in disintegrated culture
samples, and the specific productivity was calculated according to eq. 6.
0
500
1000
1500
2000
2500
0 0,1 0,2 0,3 0,4
sp
ecific
pro
du
ctio
n r
ate
(U
g-1
h-1
)
specific growth rate (h-1
)
Figure 10. The specific production rate of β-
lactamase as a function of the specific growth
rate. Average values of three TLFB cultures
(filled circles) and two GLFB cultures (open
circles). (Data compiled from paper IV.)
The specific production rate was higher in the TLFB cultures than in the GLFB cultures. The
synthesis burden for the cell was very low, 2-3 mg of β-lactamase g-1 of biomass (conversion
factor 3550 U mg-1 of β-lactamase, (Georgiou et al. 1988), and the protein is homologous,
thus the risk of misfolding or protein degradation due to proteolysis should be very small.
Different plasmid content in the TLFB and the GLFB cultures is one possible reason. Another
reason could be that the synthesis rate was higher in the TLFB cultures. Similar observations
were made in the production of the fusion protein CBD-lipase in Pichia pastoris in methanol-
limited fed-batch and TLFB cultures (Jahic et al. 2003).
The fact that the temperature gradually declines in the TLFB process indicates that one would
expect an increasing solubility of a protein that is known to form inclusion bodies. In
cooporation with AstraZeneca, a recombinant protein that yielded about 70-80% inclusion
bodies (according to scanning of Western blots) was investigated. When the solubility was
compared in a GLFB and a TLFB process, it was much higher only during the early phase of
the TLFB process. Then, it gradually declined towards 40 % at the end of the culture (fig 11),
opposite to what is expected from the temperature effect on recombinant protein solubility
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
27
(Schein and Noteborn 1988). A factor that influences the interpretation of the results is
proteolysis, although not performed in this study, it would increase the ratio of inclusion
bodies. If the rate of proteolysis increased with process time, along with the concomitant
decrease in temperature, the decrease of the soluble fraction could possibly be explained by
temperature-dependent induction of new proteases (Rozkov and Enfors 2004).
0
20
40
60
80
100
0 5 10 15 20 25
So
lub
le f
ractio
n (
%)
time after induction (h)
Fig 11. The solubility fraction of the recombinant
protein produced in a TLFB (filled circles) and a
GLFB (open circles) after induction (unpublished
data).
PROTEIN PRODUCTION
28
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
29
MODELING THE TEMPERATURE-DEPENDENT RATES
Modeling as a tool for identifying critical parameters of a process, is of special interest
because of the low cost and time demand. The development of a kinetic model for E. coli
cultured by the TLFB technique includes the determination of the temperature-dependent
metabolic rates (paper III). Sensitivity analysis to gain knowledge of the critical parameters
and their impact on productivity was investigated by using the developed model (paper IV).
The oxidative and overflow pathways
Figure 12 depicts the glucose energy metabolism in E. coli grown aerobically on mineral
medium. Glucose is the most common carbon source for microorganisms in pharmaceutical
biotechnology. This molecule generates both energy and precursors for biosynthesis. Glucose
is transported into the E. coli cell by the phosphoenolpyruvate phosphotransferase system
(Postma et al. 1996). The Embden-Meyerhof pathway (EMP) and the pentose-phosphate
pathway (PPP) are the two trunk routes for the oxidation of glucose into pyruvate (Fraenkel
1996). The intermediates in the glycolysis are precursors for amino acids, fatty acids and
nucleic acids. In addition, 2 ATP are generated and 2 NAD+ are reduced to NADH from each
glucose molecule. Pyruvate is converted into acetyl-CoA during aerobic conditions either by
the oxidative or the so-called overflow metabolic pathway. The path selected depends on
substrate accessibility and other environmental conditions.
In the TCA cycle, acetyl-CoA is oxidized into carbon dioxide. The main oxidant, NAD+, is
reduced into NADH. The reducing agents from the TCA cycle and from the EMP are then
reoxidized in the respiratory pathway, where oxygen is reduced into water with concomitant
generation of ATP (fig 12). Totally, about 22 ATP are generated in the oxidative metabolism.
When the glucose flux to acetyl-CoA exceeds the capacity of the cell to further metabolize it
in the TCA cycle, the surplus acetyl-CoA is converted to acetate (fig 12). In this pathway, one
ATP is generated but no coenzymes are reoxidized. The overflow metabolism is observed in
batch (Luli and Strohl 1990), in fed-batch (Konstantinov et al. 1990; Luli and Strohl 1990),
and continuous cultivations (Han et al. 1992).
MODELING THE TEMPERATURE-DEPENDENT RATES
30
Acetate is also formed under oxygen limitation in the so-called mixed acid fermentation.
However, this reaction takes another path from pyruvate, which is split to formate and acetyl-
CoA from which the acetate is formed. Concomitantly a number of other products are formed:
ethanol, lactate, formate and succinate. None of these products is formed in the overflow
metabolism (Andersen and von Meyenburg 1980; Xu et al. 1999).
Figure 12. Summary of E. coli energy metabolism (not stoichiometric). The glucose is oxidized into acetyl-CoA,
while generating reducing agents, CO2 and ATP. If the specific glucose uptake rate is below a critical value, the
carbon from glucose is oxidized into carbon dioxide while generating reducing agents, e.g. NADH. NADH is
reoxidized into NAD+ in the respiration with concomitant ATP production. The eventual surplus of acetyl-CoA,
not oxidized in the TCA cylce is converted to acetate in the overflow metabolism with an energetic gain of
approximately 1 ATP. The total energetic gain of one molecule of glucose metabolized in the oxidative
metabolism is about 22 ATP.
The maximum uptake rate of oxygen for E. coli W3110 is about 13-14 mmol g-1 h-1 (Xu et al.
1999). Above a critical specific glucose uptake rate the oxygen consumption rate remains
constant, while a further increase in glucose concentration results in a higher glucose uptake
rate. It has been disputed whether the metabolic bottleneck of the overflow metabolism of E.
!
Glucose
!
Acetyl - CoA
!
Acetate
!
ADP
!
ATP
!
Pyruvate
!
TCA
!
CO2
!
NADH
!
NAD+
!
ADP
!
ATP
!
O2
!
H2O
!
ADP
!
ATP
!
NAD+
!
NADH
!
NAD+
!
NADH
!
Overflow metabolism
!
Oxidative metabolism
CO2
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
31
coli and S. cerevisiae lies in the TCA cycle or in the respiratory pathway (Andersen and von
Meyenburg 1980; Sonnleitner and Käppeli 1986; Verduyn et al. 1992). Irrespectively of
where the bottleneck is located, a maximum in the specific oxygen uptake rate, qOmax, is
observed both in S. cereviciae (Pham et al. 1999) and in E.coli (Xu et al. 1999) when the
glucose uptake rate exceeds a critical value.
Mathematical model (III)
The feed of glucose was set to approximately support maximum growth rate at the process
temperature in the pH-auxostats and the TLFB cultures. Thus, the in-going glucose flux was
divided into both the oxidative and the overflow metabolic pathway (fig 12). Xu et al.
presented a model of the metabolism of E. coli including both production and consumption of
acetate (Xu et al. 1999). Consumption of acetate occurs when the culture is switched from
batch mode into a limiting glucose supply. This model (without acetate consumption) was
used in paper III and is presented in fig 13.
Figure 13. Model describing the in-going substrate fluxes of the glucose, S, and oxygen, O2, and the
produced out-going fluxes of carbon dioxide, CO2, biomass, X, and acetate, A. The model equations
describing the rates by which the glucose or the oxygen is going through either the oxidative or the overflow
metabolism and the nomenclature used are described in the text (from paper III).
!
O2
!
qO = qS,ox,enRO / S " qO,max
!
qS = qS,maxS
S + KS
!
qS,of ,an = qS,ofYX / S,ofCX
CS
!
qS,ox
!
qS,of = qS " qS,ox
(if qO = qO,max)
!
qS,ox,en = qS,ox " qS,ox,an
!
qS,of ,en = qS,of " qS,of ,an
!
S
!
qA = qof ,enRA / S
!
qS,ox,an = qS,oxYX S,ox
CX
CS
!
µ = qS,oxYX S,ox + qS,ofYX / S,of
!
CO2
!
X
!
A
MODELING THE TEMPERATURE-DEPENDENT RATES
32
The glucose uptake rate is assumed to follow Monod kinetics:
!
qS = qS,maxS
S + KS
(12)
qS is the specific rate by which the culture takes up glucose, qSmax is the maximum qS. S is the
concentration of glucose in the medium and Ks is the saturation constant for glucose uptake.
At low glucose concentrations all glucose is metabolized by the oxidative metabolism.
!
qS,ox = qS (13)
The flux to anabolism (qS,ox,an, eq. 14) is obtained from a carbon mass balance. The rate of
carbon uptake to the anabolism, qS,ox,anCS (g carbon per g biomass per hour) equals the rate of
carbon accumulation in the cells, qS,oxYX/S,oxCX. CS and CX are the carbon concentrations in
glucose and biomass, respectively.
!
qS,ox,an = qS,oxYX S,ox
CX
CS
(14)
The glucose flux for the energy metabolism becomes:
!
qS,ox,en = qS " qS,ox,an (15)
The respiration rate for re-oxidation of the co-enzymes (Fig 12) is dependent on the glucose
flux for energy metabolism, which is combusted into carbon dioxide:
!
qO = qS,ox,enRO / S (16)
The coefficient RO/S is the stoichiometric ratio between oxygen and energy substrate in the
respiration (6 moles of oxygen per mole of glucose).
The glucose flux towards the overflow metabolism can be calculated with the concept of
maximum respiration rate (qO,max). Thus, if the rate of respiration (eq. 16) becomes higher
than qO,max, the fluxes to oxidative anabolism (qS,ox,an) and oxidative energy metabolism
(qS,ox,en) are adjusted to fit qO,max and the remaining total substrate uptake is directed to
overflow metabolism:
!
qS,of = qS " (qS,ox,an + qS,ox,en ) (17)
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
33
The acetylCoA metabolized from glucose (fig 12) destined for the overflow metabolism (eq.
17) is converted to acetate with concomitant generation of ATP, providing energy for
additional growth, although with a lower yield coefficient (YX/S,of) than that of the oxidative
growth (YX/S,ox). The specific growth rate becomes:
!
µ = qS,oxYX S,ox + qS,ofYX / S,of (18)
The glucose fluxes into anabolism (eq 19) and energy metabolism (eq. 20) in the overflow
metabolism is further modeled in analogy with the fluxes of the oxidative metabolism:
!
qS,of ,an = qS,ofYX / S,ofCX
CS
(19)
!
qS,of ,en = qS,of " qS,of ,an (20)
The rate of acetate formation, qA is obtained from the stoichiometric ratio of glucose
conversion to acetate (RA/S) of the flux diverted to energy metabolism:
!
qA = qS,of ,enRA / S (21)
The rate equations 12, 16, 18 and 21 were inserted in corresponding mass balance equations
(table 3) for the dynamic simulations of both the pH-auxostat and the TLFB process.
Table 3. The equations used for the dynamic simulations of both the pH-auxostat and the TLFB process.
state variable mass balance rate equation
biomass
!
dX
dt= X ("
F
V+ µ)
!
µ = qS,oxYX S,ox + qS,ofYX / S,of
acetate
!
dA
dt= A("
F
V) + qA X
!
qA = qS,of ,enRA / S
glucose
!
dS
dt= (Si " S)
F
V" (qS,ox + qS,of )X
!
qS = qS,maxS
S + KS
dissolved oxygen
!
dDOT
dt= KLa(DOT *"DOT ) "HqOX
!
qO = qS,ox,enRO / S
Temperature-dependent metabolic rates (III)
To use the model equations for pH-auxostat or TLFB process simulations (fig 13 and table 3),
the temperature-dependent maximum specific rates of oxygen and glucose were determined in
pH-auxostat cultures (paper III).
MODELING THE TEMPERATURE-DEPENDENT RATES
34
The specific growth rate (µ) describes a linear relationship with the reciprocal of the
temperature in a log-scaled diagram within the temperature range 20-37 °C (Herendeen et al.
1979). It is a relationship known as the Arrhenius equation (eq. 22). k is a constant, specific to
each reaction, Ea is the energy of activation, G is the general gas constant and T is the absolute
temperature.
!
µ = keEa GT (22)
The specific rates were experimentally determined in a pH-auxostat (paper III) and were
plotted in an Arrhenius plot (eq. 22). The specific uptake rates of glucose and oxygen (Fig
14A) and the specific production rates of growth, acetate and carbon dioxide (Fig 14B)
deviated from the linear relationship described by Arrhenius at 18 °C.
A: The specific rate of glucose and oxygen B: The specific rate of biomass, acetate and CO2
0,01
0,1
1
10
3,23,253,33,353,43,45
Specific
rate
(g g
-1 h
-1)
Reciprocal temperature 1000 T-1 (K-1)
18 °C
20 °C
23 °C
26 °C
28 °C
33 °C
37 °C
qS
qO
0,001
0,01
0,1
1
0,01
0,1
1
10
3,23,253,33,353,43,45
Specific
rate
of C
O2 (g
g-1
h-1)
Spec. ra
te o
f A
(g g
-1 h
-1)
and X
(h
-1)
Reciprocal temperature 1000 T-1 (K-1)
18 °C
20 °C
23 °C
26 °C28 °C
33 °C37 °C
µ
qA
qCO2
Figure 14. Arrhenius plots of the maximum specific rates as a function of the reciprocal temperature. A:
glucose, qS (open triangles) and oxygen, qO (filled triangles). B: growth, µ (open circles), carbon dioxide,
qCO2 (open triangles) and acetate, qA (filled squares). Solid lines represent exponential fits according to the
Arrhenius equation in the range 20-37 °C. Dashed lines connect the fitted lines with the corresponding points
at 18 °C. The deviation from the fitted line was largest at 18 °C (from paper III).
Since the TLFB process runs with a temperature limitation below 20 °C for a significant
period of time (fig 15), a polynomial fit of the 3rd order of the experimental data was used
instead of the Arrhenius equation to describe the temperature-dependent maximum specific
rate of glucose uptake. The maximum specific rate of oxygen uptake was described as a linear
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
35
function of that of glucose (fig 4 in paper III). A simulation and corresponding experimental
data are shown for a TLFB culture in figure 15.
In the culture performed, the DOT was regulated around 30 % air. sat. (data not shown) by the
temperature. The temperature profile decreased from 37 °C down to 18 °C, the biomass
reached 27 g l-1 and the specific growth rate gradually declined to 0.02 h-1 (Fig 15A). The
glucose was manually regulated to a concentration of about 0.2 g l-1, the final acetate
concentration was about 1 g l-1 and the feeding rate was about 40 ml h-1 (Fig 15B). The initial
volume was 5 l.
The conclusion is that the simulations (Fig 15) fit reasonably well with experimental data. It
may be used to predict the temperature profile (Fig 15A) and a suitable glucose feeding rate in
order to avoid acetate accumulation (fig 15B). The temperature profile together with the
oxygen consumption rate is needed for estimation of the cooling demand (paper III).
A: temperature biomass and the specific growth rate B: Glucose and acetate concentration and feeding rate
0
10
20
30
40
0
0,2
0,4
0,6
0,8
1
0 4 8 12 16
Te
mp
era
ture
(°C
) a
nd
bio
ma
ss (
g l
-1)
Sp
ecific
gro
wth
rate
(h-1)
time (h)
X
µ
T
0
20
40
60
0
1
2
3
0 4 8 12 16
Fe
ed
ing
ra
te (
ml h
-1)
Ace
tate
an
d g
luco
se
(g l -1)
time (h)
F
A
S
Figure 15. A simulation of a TLFB culture and experimental data of the The temperature decreased from 37
°C down to 18 °C. A: Experimental data of the biomass (filled circles, X) growth rate (open circles, µ) and
temperature (crosses, T). B: Experimental data of the feeding rate (dashed line, F), glucose concentration
(dotted line, S) and acetate (squares, A). The volume was 5 l at fed-batch start (2 h). The simulated
parameters are indicated as solid lines. (Data retrieved from paper III.)
Figure 16 illustrates that the glucose uptake rate influenced the acetate formation differently
in cultures performed by the three different techniques, the pH-auxostat, the TLFB, and the
GLFB technique. In the pH auxostat there was a large excess of glucose in the medium. Thus,
MODELING THE TEMPERATURE-DEPENDENT RATES
36
the specific glucose and oxygen uptake rates were maximum, (qS,max and qO,max). About 10 %
of the carbon taken up by the cell was incorporated in acetate (paper III), hence the rest was
going to the oxidative metabolism. The TLFB culture also exhibited an excess of glucose
allowing qO = qO,max, however the excess glucose concentration in the medium was low to
limit the acetic acid accumulation resulting in a low flux for the overflow metabolism and in a
lower acetate production (about 2 % of the total carbon). The GLFB culture was limited by
the glucose supply, hence the respiration did not reach its maximum capacity.
The acetate production may also be avoided by choosing a low-producing strain. For instance,
E. coli B strains, frequently used by the industry, are low acetate producers and hence less
sensitive to glucose accumulation, while the E. coli K12 strains, used in the present
investigation, and also used by the industry, are high acetate producers (Phue and Shiloach
2004).
Figure 16. Schematic models over glucose fluxes in the cell to the different metabolic pathway destinations in
three different cultivation techniques: pH auxostat, TLFB and GLFB.
Sensitivity analysis performed by simulations (IV)
When two different agitation speeds in TLFB cultures were applied, different temperature
profiles and cell concentrations were obtained (paper IV). Sensitivity analysis was performed
to investigate possible reasons behind the differences. Variables investigated were process
dependent, the oxygen transfer coefficient KLa and the glucose concentration (S), or related to
the cell physiology, the specific cell death rate kd and the maximum specific glucose uptake
rate, qSmax (fig 17).
!
pH auxostat
qS " qSmax
qO = qO,max
!
oxidative metabolism
qSox = qSox,an + qSox,en
!
overflow metabolism
qSof = qS " qSox
!
acetate production
qA max
!
TLFB
qS =qSmax
(S + Ks)
qO = qO,max
!
oxidative metabolism
qSox = qSox,an + qSox,en
!
overflow metabolism
qSof = qS " qSox
!
acetate production
qA
!
GLFB
qS =qSmax "S
(S + Ks)
qO < qO,max
!
oxidative metabolism
qSox = qSox,an + qSox,en
!
no overflow metabolism
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
37
The KLa is dependent on the stirrer rate, the aeration rate and the liquid volume in the reactor.
Hence it is a variable that is controlled by the operator. In paper I it was shown how the final
biomass concentrations and the temperature profile in TLFB cultures depend on the KLa.
Figure 17 A shows two over-lapping simulations, with KLa of 270 h-1 and 470 h-1, of the
increasing final biomass concentrations and the temperature profiles. The temperature profile
remained the same and the biomass productivity increased with increasing KLa.
The excess glucose concentration, S, may be varied in the process. In the simulations, the
temperature profile was somewhat sharper with higher S (1.0 g l-1 instead of 0.2 gl-1, fig 17B).
However, the difference in temperature is insignificant for small differences in S, (e.g. 0.1 gl-
1, paper IV). More importantly, the acetate accumulation is higher for higher S, as explained
above (fig 16) and indicated in paper III. The biomass productivity, assuming not inhibited
by acetate, was not influenced by the glucose concentration.
The specific death rate of the first order, kd, was inserted in the mass balance for biomass (eq.
2) according to equation 23. If given the magnitude of 0.02 h-1, the biomass concentration was
decreased by about 10 % and the temperature profile was less steep, with about 1 °C
difference at 15 hours after TLFB start (Fig 17C).
!
dX
dt= "
F
VX + µX " k
dX (23)
qS,max is another organism-dependent parameter. If a non-competitive inhibitor is present, such
as acetic acid, qS,max may also be reduced. If the temperature-dependent function of qS,max,
derived in paper III, is reduced to half, the temperature profile becomes less steep (fig 17D).
The biomass productivity was similar, however the batch phase was shorter with higher qSmax.
Thus, the biomass curve and the specific growth rate are mainly determined by the KLa, which
does not influence the temperature profile. Parameters influencing the specific uptake rate of
glucose; S and qSmax, influences the temperature but not the biomass concentration profile. The
specific cell death rate, kd influences both the biomass concentration and the temperature
profile.
MODELING THE TEMPERATURE-DEPENDENT RATES
38
Figure 17. Analysis of the effect on the temperature (T) profile and the biomass concentration (X) from
changes in the culture condition related parameters A: the oxygen transfer coefficient (KLa) and B: the
glucose concentration (S); and changes of the physiological parameters C: the specific cell death rate (kd),
and D: the maximum specific uptake rate (qsmax). The values of the parameters are indicated above the graphs
respectively. qsmax= f(T)= 1.44- 0.186T +0.00754T2-0.0000693T3 (paper III). (From paper IV)
The sensitivity analysis in paper IV resulted in an increasing understanding of the TLFB
process, demonstrating the usefulness of a simulation model. It indicates that the temperature
profile may be used as a control parameter. If the temperature profile deviates from the
normal slope (empirically determined), the possibility of an altered culture physiology
prevails. Such physiological conditions could be infection, plasmid loss, inhibitors or cell
A. KLa= 270 h-1(thick lines) and 470 h-1 (thin lines) B. S= 0.2 g l-1(thick lines) and 1 g l-1 (thin lines)
0
10
20
30
40
50
60
20
25
30
35
40
-5 0 5 10 15
Bio
ma
ss (
g l
-1)
Te
mp
era
ture
(°C)
time (h)
KLa
T X
0
5
10
15
20
25
30
35
40
20
25
30
35
40
-5 0 5 10 15
Sset= 1G/L.txt
Bio
mass (
g l
-1)
Tem
pera
ture
(°C)
time (h)
S
X
T
C. kd= 0 (thick lines) and 0.02 h-1 (thin lines) D. qsmax= f(T)(thick lines) and 0.5*f(T) (thin lines)
0
10
20
30
40
50
20
25
30
35
40
-5 0 5 10 15 20
TLFB III.txtT
em
pe
ratu
re (°C
)Bio
ma
ss (
g l
-1)
time (h)
T
X
Kd
0
10
20
30
40
50
60
20
25
30
35
40
-5 0 5 10 15 20 25 30 35
Bio
ma
ss (
g l
-1)
Te
mp
era
ture
(°C)
time (h)
qSmax
T X
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
39
death. The concentrations of endotoxins and proteins corresponded to cell lysis of at least 10
% of the total cell concentration in the culture with the unusual temperature profile (paper
IV). The sensitivity analysis implies that cell death of this magnitude may contribute to the
different temperature profiles obtained.
MODELING THE TEMPERATURE-DEPENDENT RATES
40
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
41
CONCLUDING REMARKS
The TLFB cultivation technique offers several advantages over the more frequently used
GLFB technique for production of recombinant proteins in small to medium scale processes.
The main feature of the technique is the repressed release of the high amounts of endotoxins.
Consequently, the health risks associated with the exposure to aerosols containing endotoxins
from the outlet air of the bioreactor should be reduced. Furthermore, the purification costs of
extracellular products should be reduced, although few such recombinant proteins are
produced using E. coli as the host. However many recombinant proteins are secreted to the
periplasmic space. Thus, the increased stability of the cytoplasmic membrane obtained in the
cells grown with the TLFB technique, offers the benefit of less contaminated osmotic shock
extracts, with respect to DNA and protein concentrations. Yet, the endotoxin concentration
was equally high in extracts from GLFB and TLFB cultures.
A higher solubility fraction was obtained when the TLFB technique was applied to a
production process forming partially inclusion bodies. Unpredictably, the solubility soon
decreased to the same level as the reference, which reflects the necessity of further
investigations in this matter. Many processes use a one-step reduction of the temperature to
increase the solubility of partially aggregated recombinant proteins. The TLFB technique
offers a smoothly declining temperature and a specific glucose uptake rate near maximum,
reassuring high production of energy for protein synthesis. Furthermore, although not studied
in this project, the degradation rate of proteolytically susceptible proteins should be lower for
thermodynamic reasons, which could be an interesting task for prospect investigations.
The apparent drawback for the TLFB technique is the increasing cooling demand, since the
temperature gradient between the cooling water and the bioreactor gradually declines. The
main heat evolution in an aerobic bioreactor is caused by the respiration. The temperature
profile and the respiration rate can be calculated from the mathematical model developed in
this study. Thus, the TLFB model offers a means for the calculation of the cooling liquid
demand, which adds to the production cost.
CONCLUDING REMARKS
42
The significantly increased endotoxin release in a TLFB culture at a higher agitation speed
was unexpected due to the small size of the E.coli cell. However, such energy dissipation
rates (16 kW m-3) are never reached in a large-scale bioreactor. Thus, this phenomena is not
necessary a limitation, although it should be further investigated before considering scale-up.
The results of the present investigation also demonstrate the feasibility of using a simulation
tool for sensitivity analyses for the purpose of gaining insight into which parameters, both
process control variables and physiological parameters, that may influence the performance of
a cultivation process.
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
43
NOMENCLATURE
Symbol Unit Parameter
A g l-1 acetate concentration
B g l-1 Concentration of an arbitrary state variable B.
CS g g-1 carbon fraction in glucose
CX g g-1 carbon fraction in biomass
DOT % air sat. dissolved oxygen tension
DOT* % air sat. DOT in equilibrium with the oxygen in the gas bubble
Ea J mol-1 energy of activation
F l h-1 flow rate
G J K-1 mol-1
Avogadro’s gas constant
H % air sat. l g-1
Henry’s constant
H+ g l-1 proton concentration
k h-1 reaction specific constant in Arrhenius (eq. 22)
KLa h-1 volumetric oxygen transfer coefficient
KS g l-1 saturation constant for glucose
qA g g-1 h-1 specific acetate production rate
qO g g-1 h-1 specific oxygen consumption rate
qP g g-1 h-1 specific product production rate
qS g g-1 h-1 specific glucose uptake rate
rA g l-1 h-1 volumetric reaction rate of acetate
RA/S g g-1 stoichiometric ratio of acetate per glucose in overflow flux
rB g l-1 h-1 volumetric reaction rate of an arbitrary state variable B.
Symbol Unit Parameter
rH+ g l-1 h-1 volumetric reaction rate of protons.
RH+/A g g-1 stoichiometric ratio of acetate per proton
RH+/NH4+ g g-1 stoichiometric ratio of ammonia per proton
RH+/X g g-1 stoichiometric ratio of biomass per proton
RO/S g g-1 stoichiometric ratio of oxygen consumed per glucose in respiration
rX g l-1 h-1 volumetric reaction rate of biomass
rpm h-1 stirrer speed
S g l-1 glucose concentration in bioreactor
Si g l-1 inlet glucose concentration
T °C or K temperature
V l culture volume in the bioreactor
X g l-1 biomass concentration
YX/S g g-1 yield of biomass per consumed glucose
µ h-1 specific growth rate
Indices
an in flux to anabolism
en in flux to energy metabolism
of flux to overflow metabolism
ox flux to oxidative m etabolism
NOMENCLATURE
44
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
45
ACKNOWLEDGEMENT
This work was partially financed by the Swedish centre for Bioprocess technology to which I would like to express my gratitude.
Professor Sven-Olof Enfors, to whom I am greatly thankful, supervised this work: Your deep knowledge in biotechnology and your enthusiasm has been a great inspiration.
Professor Lena Häggström for thoroughly reviewing this thesis in the last minute.
Ingrid Svensson, Ling Han and Gustav Silfversparre for their contributions in the presented articles. Jan Norling at AstraZeneca AB for the contribution on the solubility work and Cynthia Hassinen for the assisting during the mechanical stress cultivations. Cecilia Heyman and collegues at Albanova library, for rapid delivery of papers.
Associate professor Andres Veide, for his inspiring devotion in research in general and in beer-drinking in particular. Professor Gen Larsson, for handing over interesting articles at times. Tommy, for keeping me alive by giving me warnings of heat and electricity in the lab; Marita, for her effectiveness; Erik and Eric, for all computer support; Ela, for her warm personality and analytical competence; Bato, for the friendly jokes; Magda, for finally speaking Swedish; Katrin, Emma and Ling for lunches and fikas and beers. All the former colleagues at the department.
Erika, for being the devoted planner, always one step ahead of me concerning thesis aspects and party concepts. Helene, for being the organizer of fun stuff such as beer-brewing and “Fjellrypa”. But most of all for the enormous support they have given to me during the last few months. Without you there would not be a thesis to present!
Mamma and pappa, for all the baby-sitting, and for never letting me believe that there were things I simply could not do. Daniel, for being proud of me.
Janne, for all the support and for believing in me, more than myself sometimes. Also, for being an excellent “hemma-pappa” during the last period of time: I owe you and I love you!
Amanda and David, for being the rays of sunshine ✹ in my life.
ACKNOWLEDGEMENT
46
THE TLFB TECHNIQUE FOR CONTROL OF E. COLI CULTURES
47
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