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2 BioProcess International JANUARY 2007 SUPPLEMENT
B I O R E A C T O R S VENDOR VOICE
A Sensitive, Compact, In Situ
Biomass Measurement System
Controlling and Monitoring Microbial Fermentations
Using Radio-Frequency Impedance
Christian Kaiser, John P. Carvell, and Reiner Luttmann
O
f all available on-line biomass
assays, the radio-frequency
impedance (RFI) method has
a clear advantage for process
development and manufacturing: It is an
unambiguous reflection of viable cell
biovolume rather than the total number
of cells. Viable cell concentration is of
prime importance in metabolic studies
and others relating to the efficiency of
target protein production. RF impedance
is also suitable for measuring live cell
densities in bioreactors when cells are
attached to microcarriers or inert discs.
Measuring optical density (OD) using
light absorption (usually at the 600 nm
wavelength) is widely used to monitor
biomass off-line during bacterial
fermentations. In-line optical sensors have
been developed for that purpose, and they
rely on transmittance, absorbance, and/or
backscattering measurements. In general,
their performance is acceptable for high-
viability cell culture applications, but light-
based probes do not distinguish between
the viable and nonviable cells. They will
also detect debris, aggregates, and other
noncellular particles that can collect
during fermentation (1, 2). Moreover, the
optical sensors are prone to fouling from
the attachment of proteins over extensive
production runs. In highly aerated
fermentors, light-based sensors are prone
to interference from gas bubbles during
aeration, and calibration must be
conducted by polynomial approximation
of the relationship between in-line and off-
line optical density.
Here, we describe the development of
a more sensitive and compact biomass
monitoring system based on radio-
frequency impedance. This can be used
in bacterial fermentations and other
applications with both low and high
concentrations of biomass in a fermentor.
We show how probe configurations,
sensitive electronics, and an advanced
electronic filtering system have been
used to date. Examples are given for
monitoring highly aerated bacterial
fermentations at laboratory and
production scales using in-line radio-
frequency impedance.
PROBE DEVELOPMENTS FOR
BACTERIAL FERMENTATIONS
RFI probes for estimating viable biomass
by capacitance have traditionally used a
four-pin platinum electrode system. For
applications such as brewing or
mammalian cell culture (in which cell
densities are high), such probes have
performed well (3–5).
Cells with intact plasma membranes
act like tiny capacitors under the
influence of an electric field. The
nonconducting nature of plasma
membranes allows charge to build up.
The resulting capacitance can be
measured and is usually expressed in
picofarads per centimeter (pF/cm). It
depends on the cell type and is directly
proportional to the membrane bound
volume of viable cells.
The Biomass Monitor RFI probe from
Aber Instuments is steam-sterilizable in
situ and uses four platinum electrodes to
apply a radio-frequency field to live cells.
Figure 1: Diagram showing ideal RF impedance electrical field with Aber’s annular probe
Photo 1: Flush electrode probe developed
initially for cell culture and brewing
JANUARY 2007 BioProcess International 3SUPPLEMENT
Nonviable and leaking cells are
effectively invisible to this detection
system. Electronic processing of the
resulting electrical signal produces a
highly accurate measurement of viable
cell concentration. The probes are
insensitive to gas bubbles and, moreover,
they can monitor very high biomass
concentrations in a wide range of
complex media.
In brewing applications,
concentrations of live yeasts in excess of
109 cells/mL found in recovered slurries
can provide capacitances well in excess
of 50 pF/cm. In animal cell cultures, the
large average size of the cells typically
leads to a capacitance in excess of 20 pF/
cm. For more demanding applications
with lower levels of biomass, it became
clear that more sensitive electronics were
required, with a new probe design, which
could accurately measure capacitance
values of less than 1 pF in highly aerated
and agitated fermentors.
The probe design chosen incorporates
four annular-ring electrodes. This
provides the optimum radio-frequency
field for measuring live cell biomass in
microbial fermentations (Figure 1). The
probe’s sensitivity to cells is distributed
over a larger volume than the four-pin
electrode design, and it reduces the size
of disturbances caused by large gas
bubbles in the fermentor. The new
annular-ring design is advantageous
because it has no sharp or protruding
edges, making it ideal for adherent or
filamentous cell types. It can be used in
12-mm or 25-mm bioreactor ports. The
new design is more sensitive in
applications with highly aerated mycelial
bacterial processes (6).
In animal cell culture, a 25-mm probe
with “flush” platinum electrodes (Photo
1) is the preferred choice for CGMP
production applications. The new RFI
probe was originally developed for
nonaerated brewing fermentors, in which
it prevents problems associated with
yeasts settling onto pin-type electrodes.
But this design is also ideal for “sticky”
animal cell lines that can adhere to or
wrap around those pin-type electrodes in
certain situations. The “flush” probe
design also can be used in bacterial
fermentors with 25-mm ports. It was
used successfully for monitoring viable
cell concentrations of Escherichia coli
growing in a 200-m3 fermentor at SA
Bioproducts in South Africa, in an amino
acid manufacturing process (Figure 2).
For probes used in a CGMP
environment, all wetted materials are
required to conform to FDA regulations.
Probes used with the latest Aber RFI
instruments have a main body
constructed of polished 316L stainless
steel (with an option for electropolishing
and passivation). The electrode end is
made from an inert and dielectrically
stable polymer. Options include probes
using high-performance polymers
(polyetheretherketone, PEEK, and
polyphenylene sulphide, PPS) and a
modified epoxy resin. PEEK and PPS are
commonly used in the biopharmaceutical
industry and have USP class VI and FDA
21 CFR 177.2415 accreditation for repeated
food contact. Tests have shown that such
probes can withstand more than 100
steam-in-place (SIP) or autoclave cycles.
RFI INSTRUMENT DEVELOPMENTS
FOR BACTERIAL FERMENTATIONS
The Biomass Monitor Model 220 from
Aber Instruments of Aberystwyth, UK
(www.aber-instruments.co.uk), has been
highly specified for flexibility in process
development and has a number of
features that are not always required for
simple bacterial fermentations. Such
features include a built-in PC, frequency
scanning, multiplexing, and the ability to
store individual calibration graphs for each
cell type or strain. In 2006 a version of the
instrument (Model 200) was introduced
for simplified use, and it is relatively
compact, low in cost, and flexible with
communications. Illustrated in Photo 2,
this instrument was designed to GAMP4
requirements, with password protection.
Because RFI is a relatively new
technology for many companies, there is
often a requirement to test an
instrument, particularly if it is intended
for CGMP production. A communication
system and software package was
specifically developed to simplify the
evaluation process. In its present format,
the Model 200 can be connected to an
available PC by a USB port. AI Lab
Workbench software (ideally using
Windows XP) allows both capacitance
and conductivity to be logged, data
which can then be exported into an Excel
worksheet.
The instrument is configured to run in
four different configuration modes. They
allow end users to quickly use preset
frequencies and filter settings known to be
appropriate for the type of cells being
monitored (bacterial, microbial, and cell
culture modes). A fourth “custom mode”
allows an end user to change those
Figure 2: Aber probe (flush) trace in 200-m3
E. coli fermentation (SA BIOPRODUCTS, WWW.BIOPRODUCTS.CO.ZA)
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Photo 2: Aber Biomass Monitor Model 200
4 BioProcess International JANUARY 2007 SUPPLEMENT
frequencies and filtering. That mode is also
used for checking instrument electronics
with a calibrated probe simulator (which
traces back to an instrument calibrated to
national standards by a third-party
calibration house).
MONITORING E. COLI
FERMENTATIONS
Three different cultivation runs at
Hamburg University of Applied Sciences
provided the first results from an
annular-ring electrode with the Biomass
Monitor 200 for monitoring capacitance
and conductivity in a genetically
modified E. coli fermentation grown on
minimal M9 media. The fermentations
were performed in a stainless-steel 15-L
BIOSTAT C vessel from Sartorius BBI
Systems of Germany (www.sartorius.
com). Excellent, reproducible
correlations were found between
capacitance and cell dry weight up to a
value of 50 g/L and for the OD at 600 nm
up to a value of 120 AU (Figures 3 and 4).
Because cell density is a key variable for
bioprocess automation and for on-line
calculations of cell-specific and
volumetric reaction rates, the Biomass
Monitor 200 offers a reliable on-line
signal for determination of the living cell
mass during a cultivation run.
Figure 5 shows the time course of a
typical fed-batch production process
using the common host system E. coli.
Data include
• profiles for OD at 600 nm
• off-line cell density cXL_CDW
• calculated cell density cXL_cap
using
capacitance (converted to g/L using the
calibration graph in Figure 3)
• estimated cell density cXL_est
using
off-gas balances
• a reconstructed cell-specific growth
rate μO2
using off-gas balances (7).
Conductivity determined by the Biomass
Monitor 200 is also included because it can
provide valuable additional information on
the consumption and/or production of
dissolved nutrients. Cell density calculated
from capacitance and the estimated cell
density show excellent correlation with the
off-line–determined cell dry weight. About
31 hours after inoculation, the cell-specific
growth rate (controlled by an exponential
open loop control) had to be reduced to
prevent oxygen limitation (data not shown).
Also, a sterile ammonium stock solution was
added to ensure optimal nitrogen supply.
Those changes to the culture
significantly influenced the various
methods for cell mass determination.
Presumably that influence was caused by
cell death during recombinant protein
production as well as a very low carbon
supply. Change in the cell membrane
composition and the shape or size of cells
would also influence in-line capacitance
measurements. Off-line determination of
cell density by OD does not differentiate
between viable and dead cells, so that
method provides the highest values.
Release of components from cells during
lysis will cause a sharp increase in OD and
a subsequent overestimation of the
biomass present.
Figure 3: Correlation between dry cell weight and capacitance (using the
Biomass Monitor 200) for E. coli culture
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Figure 5: Genetically modified E. coli DH5alpha (pTrcHisB_T-Sapphire) grown on M9 media in a
10-L Biostat C fermentor from Sartorius BBI Systems — comparing capacitance and cell dry weight.
(C. KAISER, RESEARCH CENTER OF BIOPROCESS ENGINEERING AND ANALYTICAL TECHNIQUES, HAMBURG UNIVERSITY OF APPLIED
SCIENCES, HAMBURG, GERMANY).
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Figure 4: Correlation between OD at 600 nm (off-line) and capacitance
(determined by the Biomass Monitor 200) for E. coli culture
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JANUARY 2007 BioProcess International 5SUPPLEMENT
NEW AND IMPROVED
The sensitivity of RFI measurements has
been greatly improved by using probes
designed with smooth annular-ring (or
flush) electrodes. The new probe design is
suitable for highly aerated bacterial
fermentations. A new compact instrument
for monitoring RF impedance has been
found ideal for monitoring bacterial
fermentations. Measured capacitance was
found to correlate well with cell dry
weight and off-line absorbance.
REFERENCES
1 Junker BH, et al. On-Line and In Situ
Monitoring Technology for Cell Density
Measurement in Microbial and Animal Cell
Culture. Bioprocess Eng. 10, 1993: 195–207.
2 Konstantinov K, et al. Real Time
Biomass Concentration Monitoring in Animal
Cell Cultures. TIBTECH 12, 1994: 324–333.
3 Maca HW, et al. The Use of Radio
Frequency Capacitance for the Measurement
of Yeast Viable Biomass and Its Use in the
Automatic Pitching of Fermentations. MBAA
Techn. Quart. 31, 1994: 146–148.
4 Carvell J, Dowd JE. On-Line
Measurements and Control of Viable Cell
Density in Cell Culture Manufacturing
Processes Using Radio-Frequency Impedance.
Cytotechnology 50 (1–3) 2006: 35–48.
5 Carvell JP. Vendor Voice: Monitoring
“Live” Cell Concentrations in Real Time: Using
RF Impedance to Optimize Fermentation and
Cell Culture Processes. BioProcess International
1(1) 2003: 70–76.
6 Ferreira AP, et al. Evaluation of a New
Capacitance Probe for Biomass Monitoring in
Industrial Pilot-Scale Fermentations.
J. Biotechnol. 116(4) 2005: 403–409.
7 Luttmann R, Bitzer G, Hartkopf J.
Development of Control Strategies for High
Cell Density Cultivation. Math. Comp. Simul. 37,
1994: 153–164. 
Christian Kaiser is a research associate at the
Research Center of Bioprocess Engineering and
Analytical Techniques at Hamburg University of
Applied Sciences in Hamburg, Germany.
Corresponding author John P. Carvell is sales
and marketing director at Aber Instruments
Ltd., Science Park, Aberystwyth, SY23 3AH, UK;
johnc@aberinstruments.com. Second
corresponding author Reiner Luttmann is a
professor in the Research Center of Bioprocess
Engineering and Analytical Techniques at
Hamburg University of Applied Sciences in
Hamburg, Germany; reiner.luttmann@rzbd.
haw-hamburg.de.

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  • 1. 2 BioProcess International JANUARY 2007 SUPPLEMENT B I O R E A C T O R S VENDOR VOICE A Sensitive, Compact, In Situ Biomass Measurement System Controlling and Monitoring Microbial Fermentations Using Radio-Frequency Impedance Christian Kaiser, John P. Carvell, and Reiner Luttmann O f all available on-line biomass assays, the radio-frequency impedance (RFI) method has a clear advantage for process development and manufacturing: It is an unambiguous reflection of viable cell biovolume rather than the total number of cells. Viable cell concentration is of prime importance in metabolic studies and others relating to the efficiency of target protein production. RF impedance is also suitable for measuring live cell densities in bioreactors when cells are attached to microcarriers or inert discs. Measuring optical density (OD) using light absorption (usually at the 600 nm wavelength) is widely used to monitor biomass off-line during bacterial fermentations. In-line optical sensors have been developed for that purpose, and they rely on transmittance, absorbance, and/or backscattering measurements. In general, their performance is acceptable for high- viability cell culture applications, but light- based probes do not distinguish between the viable and nonviable cells. They will also detect debris, aggregates, and other noncellular particles that can collect during fermentation (1, 2). Moreover, the optical sensors are prone to fouling from the attachment of proteins over extensive production runs. In highly aerated fermentors, light-based sensors are prone to interference from gas bubbles during aeration, and calibration must be conducted by polynomial approximation of the relationship between in-line and off- line optical density. Here, we describe the development of a more sensitive and compact biomass monitoring system based on radio- frequency impedance. This can be used in bacterial fermentations and other applications with both low and high concentrations of biomass in a fermentor. We show how probe configurations, sensitive electronics, and an advanced electronic filtering system have been used to date. Examples are given for monitoring highly aerated bacterial fermentations at laboratory and production scales using in-line radio- frequency impedance. PROBE DEVELOPMENTS FOR BACTERIAL FERMENTATIONS RFI probes for estimating viable biomass by capacitance have traditionally used a four-pin platinum electrode system. For applications such as brewing or mammalian cell culture (in which cell densities are high), such probes have performed well (3–5). Cells with intact plasma membranes act like tiny capacitors under the influence of an electric field. The nonconducting nature of plasma membranes allows charge to build up. The resulting capacitance can be measured and is usually expressed in picofarads per centimeter (pF/cm). It depends on the cell type and is directly proportional to the membrane bound volume of viable cells. The Biomass Monitor RFI probe from Aber Instuments is steam-sterilizable in situ and uses four platinum electrodes to apply a radio-frequency field to live cells. Figure 1: Diagram showing ideal RF impedance electrical field with Aber’s annular probe Photo 1: Flush electrode probe developed initially for cell culture and brewing
  • 2. JANUARY 2007 BioProcess International 3SUPPLEMENT Nonviable and leaking cells are effectively invisible to this detection system. Electronic processing of the resulting electrical signal produces a highly accurate measurement of viable cell concentration. The probes are insensitive to gas bubbles and, moreover, they can monitor very high biomass concentrations in a wide range of complex media. In brewing applications, concentrations of live yeasts in excess of 109 cells/mL found in recovered slurries can provide capacitances well in excess of 50 pF/cm. In animal cell cultures, the large average size of the cells typically leads to a capacitance in excess of 20 pF/ cm. For more demanding applications with lower levels of biomass, it became clear that more sensitive electronics were required, with a new probe design, which could accurately measure capacitance values of less than 1 pF in highly aerated and agitated fermentors. The probe design chosen incorporates four annular-ring electrodes. This provides the optimum radio-frequency field for measuring live cell biomass in microbial fermentations (Figure 1). The probe’s sensitivity to cells is distributed over a larger volume than the four-pin electrode design, and it reduces the size of disturbances caused by large gas bubbles in the fermentor. The new annular-ring design is advantageous because it has no sharp or protruding edges, making it ideal for adherent or filamentous cell types. It can be used in 12-mm or 25-mm bioreactor ports. The new design is more sensitive in applications with highly aerated mycelial bacterial processes (6). In animal cell culture, a 25-mm probe with “flush” platinum electrodes (Photo 1) is the preferred choice for CGMP production applications. The new RFI probe was originally developed for nonaerated brewing fermentors, in which it prevents problems associated with yeasts settling onto pin-type electrodes. But this design is also ideal for “sticky” animal cell lines that can adhere to or wrap around those pin-type electrodes in certain situations. The “flush” probe design also can be used in bacterial fermentors with 25-mm ports. It was used successfully for monitoring viable cell concentrations of Escherichia coli growing in a 200-m3 fermentor at SA Bioproducts in South Africa, in an amino acid manufacturing process (Figure 2). For probes used in a CGMP environment, all wetted materials are required to conform to FDA regulations. Probes used with the latest Aber RFI instruments have a main body constructed of polished 316L stainless steel (with an option for electropolishing and passivation). The electrode end is made from an inert and dielectrically stable polymer. Options include probes using high-performance polymers (polyetheretherketone, PEEK, and polyphenylene sulphide, PPS) and a modified epoxy resin. PEEK and PPS are commonly used in the biopharmaceutical industry and have USP class VI and FDA 21 CFR 177.2415 accreditation for repeated food contact. Tests have shown that such probes can withstand more than 100 steam-in-place (SIP) or autoclave cycles. RFI INSTRUMENT DEVELOPMENTS FOR BACTERIAL FERMENTATIONS The Biomass Monitor Model 220 from Aber Instruments of Aberystwyth, UK (www.aber-instruments.co.uk), has been highly specified for flexibility in process development and has a number of features that are not always required for simple bacterial fermentations. Such features include a built-in PC, frequency scanning, multiplexing, and the ability to store individual calibration graphs for each cell type or strain. In 2006 a version of the instrument (Model 200) was introduced for simplified use, and it is relatively compact, low in cost, and flexible with communications. Illustrated in Photo 2, this instrument was designed to GAMP4 requirements, with password protection. Because RFI is a relatively new technology for many companies, there is often a requirement to test an instrument, particularly if it is intended for CGMP production. A communication system and software package was specifically developed to simplify the evaluation process. In its present format, the Model 200 can be connected to an available PC by a USB port. AI Lab Workbench software (ideally using Windows XP) allows both capacitance and conductivity to be logged, data which can then be exported into an Excel worksheet. The instrument is configured to run in four different configuration modes. They allow end users to quickly use preset frequencies and filter settings known to be appropriate for the type of cells being monitored (bacterial, microbial, and cell culture modes). A fourth “custom mode” allows an end user to change those Figure 2: Aber probe (flush) trace in 200-m3 E. coli fermentation (SA BIOPRODUCTS, WWW.BIOPRODUCTS.CO.ZA) ��������������������������������������� � � � � � � � �� �� �� �� �� �� �� �� ���������������������������������������������������������������������������������������������������������������������������������������������������������� ���������������������������������������������������������������������������������������������������������������������������������������������������������� ��������������� ��������������� Photo 2: Aber Biomass Monitor Model 200
  • 3. 4 BioProcess International JANUARY 2007 SUPPLEMENT frequencies and filtering. That mode is also used for checking instrument electronics with a calibrated probe simulator (which traces back to an instrument calibrated to national standards by a third-party calibration house). MONITORING E. COLI FERMENTATIONS Three different cultivation runs at Hamburg University of Applied Sciences provided the first results from an annular-ring electrode with the Biomass Monitor 200 for monitoring capacitance and conductivity in a genetically modified E. coli fermentation grown on minimal M9 media. The fermentations were performed in a stainless-steel 15-L BIOSTAT C vessel from Sartorius BBI Systems of Germany (www.sartorius. com). Excellent, reproducible correlations were found between capacitance and cell dry weight up to a value of 50 g/L and for the OD at 600 nm up to a value of 120 AU (Figures 3 and 4). Because cell density is a key variable for bioprocess automation and for on-line calculations of cell-specific and volumetric reaction rates, the Biomass Monitor 200 offers a reliable on-line signal for determination of the living cell mass during a cultivation run. Figure 5 shows the time course of a typical fed-batch production process using the common host system E. coli. Data include • profiles for OD at 600 nm • off-line cell density cXL_CDW • calculated cell density cXL_cap using capacitance (converted to g/L using the calibration graph in Figure 3) • estimated cell density cXL_est using off-gas balances • a reconstructed cell-specific growth rate μO2 using off-gas balances (7). Conductivity determined by the Biomass Monitor 200 is also included because it can provide valuable additional information on the consumption and/or production of dissolved nutrients. Cell density calculated from capacitance and the estimated cell density show excellent correlation with the off-line–determined cell dry weight. About 31 hours after inoculation, the cell-specific growth rate (controlled by an exponential open loop control) had to be reduced to prevent oxygen limitation (data not shown). Also, a sterile ammonium stock solution was added to ensure optimal nitrogen supply. Those changes to the culture significantly influenced the various methods for cell mass determination. Presumably that influence was caused by cell death during recombinant protein production as well as a very low carbon supply. Change in the cell membrane composition and the shape or size of cells would also influence in-line capacitance measurements. Off-line determination of cell density by OD does not differentiate between viable and dead cells, so that method provides the highest values. Release of components from cells during lysis will cause a sharp increase in OD and a subsequent overestimation of the biomass present. Figure 3: Correlation between dry cell weight and capacitance (using the Biomass Monitor 200) for E. coli culture ������ ����� �� �� �� �� �� �� � ����� ������� �������������������������������������������������������������������������������������������������������������������� ���� ���� ����� ������� ���� �� ������������� �� ������������������ �� ��������� ������� ������ Figure 5: Genetically modified E. coli DH5alpha (pTrcHisB_T-Sapphire) grown on M9 media in a 10-L Biostat C fermentor from Sartorius BBI Systems — comparing capacitance and cell dry weight. (C. KAISER, RESEARCH CENTER OF BIOPROCESS ENGINEERING AND ANALYTICAL TECHNIQUES, HAMBURG UNIVERSITY OF APPLIED SCIENCES, HAMBURG, GERMANY). ������������ ��� ��� ��� �� �� � ��� ��� ��� ��� ��� ��� �� �� �� �� � � �� �� �� �� �� � ��������������������������������������������������������������������������������������������������������������������������������������� ���� ��� ���� � ����� ������� ��� ����� ����� ����� ������� ����� ��������� ���������� ��������� ������������� � ��� � ��� ������� ������� Figure 4: Correlation between OD at 600 nm (off-line) and capacitance (determined by the Biomass Monitor 200) for E. coli culture ������ ����� ��� ��� �� �� � ����� ������� �������������������������������������������������������������������������������������������������������������������� ������ ���� ����� ������� ���� �� ����������� �� ����������������� �� ��������� ����� ��������
  • 4. JANUARY 2007 BioProcess International 5SUPPLEMENT NEW AND IMPROVED The sensitivity of RFI measurements has been greatly improved by using probes designed with smooth annular-ring (or flush) electrodes. The new probe design is suitable for highly aerated bacterial fermentations. A new compact instrument for monitoring RF impedance has been found ideal for monitoring bacterial fermentations. Measured capacitance was found to correlate well with cell dry weight and off-line absorbance. REFERENCES 1 Junker BH, et al. On-Line and In Situ Monitoring Technology for Cell Density Measurement in Microbial and Animal Cell Culture. Bioprocess Eng. 10, 1993: 195–207. 2 Konstantinov K, et al. Real Time Biomass Concentration Monitoring in Animal Cell Cultures. TIBTECH 12, 1994: 324–333. 3 Maca HW, et al. The Use of Radio Frequency Capacitance for the Measurement of Yeast Viable Biomass and Its Use in the Automatic Pitching of Fermentations. MBAA Techn. Quart. 31, 1994: 146–148. 4 Carvell J, Dowd JE. On-Line Measurements and Control of Viable Cell Density in Cell Culture Manufacturing Processes Using Radio-Frequency Impedance. Cytotechnology 50 (1–3) 2006: 35–48. 5 Carvell JP. Vendor Voice: Monitoring “Live” Cell Concentrations in Real Time: Using RF Impedance to Optimize Fermentation and Cell Culture Processes. BioProcess International 1(1) 2003: 70–76. 6 Ferreira AP, et al. Evaluation of a New Capacitance Probe for Biomass Monitoring in Industrial Pilot-Scale Fermentations. J. Biotechnol. 116(4) 2005: 403–409. 7 Luttmann R, Bitzer G, Hartkopf J. Development of Control Strategies for High Cell Density Cultivation. Math. Comp. Simul. 37, 1994: 153–164.  Christian Kaiser is a research associate at the Research Center of Bioprocess Engineering and Analytical Techniques at Hamburg University of Applied Sciences in Hamburg, Germany. Corresponding author John P. Carvell is sales and marketing director at Aber Instruments Ltd., Science Park, Aberystwyth, SY23 3AH, UK; johnc@aberinstruments.com. Second corresponding author Reiner Luttmann is a professor in the Research Center of Bioprocess Engineering and Analytical Techniques at Hamburg University of Applied Sciences in Hamburg, Germany; reiner.luttmann@rzbd. haw-hamburg.de.