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Applied and Environmental Microbiology, February 2000, p. 763-768, Vol. 66, No. 2
0099-2240/00/$04.00+0
Copyright © 2000, American Society for Microbiology. All rights reserved.
An Improved Spectrophotometric Method To Study the
Transport, Attachment, and Breakthrough of Bacteria through
Porous Media
P. A.
Deshpande and
D. R.
Shonnard*
Department of Chemical Engineering, Michigan
Technological University, Houghton, Michigan 49931
Received 8 July 1999/Accepted 22 November 1999
 |
ABSTRACT |
This study reports an improved spectrophotometric method for
studying bacterial (Pseudomonas fluorescens UPER-1)
transport and attachment in saturated porous media (silica sand). While studying the effect of ionic strength by the traditional packed-column spectrophotometric method, we encountered an artifact. The absorbance of a well-stirred bacterial suspension was found to decrease with time
in the presence of high concentrations of sodium and potassium phosphate salts (
10
2 M) as the cells continued to age
in a resting stage. Our results show that collision efficiency and a
bed ripening index will be in error by as much as 20% if breakthrough
is measured by the traditional spectrophotometric technique. We present
an improved experimental technique that will minimize the artifact and
should substantially advance the understanding of bacteria transport in
porous media.
 |
INTRODUCTION |
Bacterial transport through
saturated porous media has received increased attention in the past
decade, spurred by the need to understand and engineer subsurface
bioremediation. In particular, bioaugmentation involves injecting
specific strains of bacteria into the subsurface. The success of this
approach requires that the bacteria be transported to the zone of
contamination and attach to the solid matrix in a controlled fashion.
Prior information about the effect of geochemistry on bacterial
transport and attachment is therefore very important.
Using the terminology from the filtration of inorganic colloids in
porous media, bacterial transport may be characterized by two
parameters, collector efficiency (
) and collision efficiency (
).
Collector efficiency is defined as the fraction of approaching colloids
which strike a collector and collision efficiency is defined as the
fraction of colliding particles which are successful in attaching to
the collector. Using the packed-bed technique (4), bacteria
can be passed through a porous medium packed column and the effluent
concentration (C/Co as defined below) can be
monitored with respect to time. Accurate measurements of these data
(breakthrough data) are essential to correctly obtain the values of
collision efficiency as seen from the following equation for a deep-bed
filter (4):
|
(1)
|
In equation 1, ac is the radius of a
collector (meters),
is the bed porosity, L is the bed
length (meters), and C and Co are
effluent and influent concentrations of cells (cells per milliliter), respectively. Thus, errors in the breakthrough data
(C/Co) will have a logarithmic effect on the
calculated values of
.
Examples of experimental techniques to study the deposition of cells
and other colloids in porous media are (i) packed-bed technique
(3, 4, 5, 7, 9, 18), (ii) stagnation point flow technique
(4), (iii) rotating disk system (17), and (iv)
parallel-plate channel technique (4); however, the packed-bed technique has been the most widely used. The influence of
various physical and chemical factors on microbial transport through
packed-bed porous media was studied by Fontes et al. (5). Bacteria were found to be retained more on the porous media at high
ionic strength (0.0089 M) compared to a lower ionic strength (0.00089 M) of artificial groundwater. A packed-column technique involving
radiolabeled cells which gives a direct measurement of bacterial
attachment in packed-column sections has been reported (7,
9). Use of a rotating disk system in quantifying the bacterial
collision efficiency has also been reported (17), which also
pointed out the increase in bacterial collision efficiency with the
increase in ionic strength. McCaulou et al. described a short-pulse
technique to calculate bacterial collision efficiencies in packed-bed
columns, used to study the collision efficiencies of hydrophilic and
hydrophobic bacteria (18).
The concentration of the bacteria in the effluent stream of a
packed-bed column can be measured with either of the following techniques: (i) counting of CFU (2, 10, 23), (ii) acridine orange direct microscopic counting (8), (iii) radiolabeling of cells followed by scintillation counting (13, 14, 16), and (iv) spectrophotometric analysis (3, 4). Microscopic counting is tedious, prone to the researcher's judgment, and not amenable to a large number of samples. In addition, there are safety
concerns associated with the use of radioactive labeling.
The use of a spectrophotometric technique is not new to the study of
transport in porous media of both colloids (20, 12) and
bacteria (21) or for the study of bacterial adhesion to host
components of cells and tissues (22). When this technique is
used to investigate the effects of solution properties such as ionic
strength, it is important to minimize or eliminate experimental artifacts which will interfere with the light absorbance properties of
the suspension. The aim of this study is to present an improved method
which is demonstrated to be less prone to such artifacts. The proposed
method addresses these concerns by building on an experimental
methodology suggested for inorganic colloids (4).
The traditional method for studying bacterial transport in porous
medium columns involves the use of a packed-bed technique. A schematic
diagram of this experimental setup is shown in Fig. 1. The system typically includes a
feeding reservoir containing the bacterial suspension and the salt
solution (5, 7, 9, 16, 21), a metering or peristaltic pump
to convey the suspension, and a column packed with the granular porous
medium. A surge bottle is sometimes added after the peristaltic pump to
obtain a smooth flow.

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FIG. 1.
Schematic diagram of the traditional experimental
technique used to collect bacterial breakthrough data.
|
|
The absorbance of the bacterial suspension, measured with a
spectrophotometer, is assumed to be a constant value for the inlet to
the column for the entire experiment. The experiment is then started by
switching the inlet flow to the bacterial suspension. Effluent
bacterial absorbance is spectrophotometrically monitored with respect
to time. The ratio of the inlet to the outlet absorbance at any time is
used to construct the relative concentration breakthrough curve
(C/Co).
Absorbance (A) is an indirect measure of the bacterial
concentration in a suspension. It is directly related to turbidity (
) by
|
(2)
|
where
l is the path length of the suspension
(
6). Turbidity is further defined as
|
(3)
|
where
N is the number concentration of the bacteria and
Cs is the scattering cross section of the
bacteria.
Cs depends on
the size and refractive
index of the bacteria and on the wavelength
of the incident light
(
6). As the size of the bacteria decreases
well below the
wavelength of light, values of the scattering coefficient
become close
to zero, resulting in a decrease in the
turbidity.
Operating in the linear range of the spectrophotometer provides a
direct correlation between the absorbance values and bacterial concentration. Absorbance measurements can therefore be directly converted to cells per milliliter using a calibration curve. It is very
convenient to operate a spectrophotometer with a low-volume flowthrough
cell, which allows continuous monitoring of the bacterial concentration.
 |
MATERIALS AND METHODS |
Growth of microorganisms.
Because the conditions for cell
growth (pH, ionic strength, etc.) and transport may be very different,
there are two main approaches in conducting these experiments. One
approach allows the cells to adapt to the transition from bioreactor to
experimental conditions, i.e., allows cells to undergo natural changes
to cellular properties. The main advantage is that the resulting
transport characteristics are more reflective of the evolved
properties. The disadvantage is that the resulting transport
characteristics are not necessarily responding to the manipulated
experimental variable (ionic strength in this work) but rather are
influences by cellular properties in ways that are not well understood
and may vary with time. Another approach introduces the cells to the experimental conditions (different ionic strengths in this work) very
quickly prior to the experiment, thus eliminating adaptation. The
advantages and disadvantages in this latter case are just the opposite
compared to the prior approach. We have adopted the latter approach in
this work because our primary interest is in understanding the
influences of ionic strength (the introduction of cations and anions)
on bacterial transport and attachment in porous media. The influence of
adapted cellular properties on bacterial transport is obviously an
important area of investigation as well but was not a part of this work.
The bacterium used in these experiments was
Pseudomonas
fluorescens UPER-1, a rod-shaped, gram-negative microorganism.
More
details about the bacterium, growth media, and growth conditions
in the bioreactor can be found elsewhere (
3). The growth
conditions
were maintained constant in the bioreactor so that the
bacterial
properties did not change from experiment to experiment. At
the
harvesting stage, the bacteria were pumped out of the bioreactor
and 960 ml of the cells was centrifuged in a Marathon 22 K centrifuge
(Fisher Scientific) at 11,000 rpm (13,900 ×
g) for 5 min. The
cells were resuspended in deionized water and spun down two
more
times to wash the medium off the cells. The concentrated cell
suspension was then added to approximately 2 liters of deionized
water
in a glass beaker until the
A500 of the cell
suspension
became approximately 0.35. This value of absorbance is
equivalent
to 3.6 × 10
8 cells/ml, as determined using
phase-contrast microscopy and a
counting chamber (
15). This
suspension was constantly stirred
for the entire duration of the column
transport experiments to
keep the cell suspension well
mixed.
Improved spectrophotometric method.
The sand used in these
studies was coarse silica sand (Agsco Corp.) having a weighted mean
diameter of 740 µm (company literature). The sand was cleaned with
the aid of only deionized water, and no harsh reagents were used.
Details concerning the sand cleaning and column packing procedures can
be found elsewhere (3). The column used in the studies was a
glass chromatography column (Adjusta-Chrom; Ace Glass Inc.) with an
internal diameter of 2.5 cm. The column was always packed to a settled
bed height of 30 cm in such a way as to minimize the trapping of air
bubbles (3). A schematic diagram of the experimental setup
(Fig. 2) shows two separate reservoirs
for the bacterial suspension and the salt solution. The salt solution
was an equimolar mixture of sodium phosphate (dibasic)
(Na2HPO4) and potassium phosphate (dibasic)
(K2HPO4). Before the bacterial injection was
started, the salt solution with no bacteria was passed through the
column for 2 h at twice the flow rate used in the experiment. This
was found to be sufficient to stabilize the pH of the sand and to flush
out residual fine particles. The bacterial suspension was then pumped
into the column at a constant flow rate of 5.0 ± 0.3 ml/min
(interstitial velocity = 2.6 cm/min). The bacterial suspension was
pumped using a metering pump (model QG 150; Fluid Metering Inc.).
Another peristaltic pump (Minipuls 3; Gilson Inc.) was used to add
concentrated salt solution to be mixed in line with the bacterial
suspension, creating the desired salt concentration. Four
contraction-expansion joints were provided to promote in-line mixing,
the effectiveness of which was verified in separate phenol red dye
injection tests. Two spectrophotometers were connected in-line, one at
the inlet and the other at the outlet of the column, to monitor the
absorbance of bacterial suspensions. Absorbance data can therefore be
easily converted into breakthrough data by the following relationship:
|
(4)
|
A personal computer equipped with data acquisition software
(LabView; National Instruments) recorded the spectrophotometer
absorbance values at the inlet as well as at the outlet of the
column
at fixed time intervals of 30 s during breakthrough and
elution
and for every 5 min during the rest of the experiment.
The breakthrough
data were subsequently normalized to obtain relative
bacterial
concentration (
C/Co) versus pore volume. The
experiment
was continued until the desired pore volumes (approximately
25
pore volumes) of the bacteria were passed through the column.
The
bacterial injection was then stopped and the elution was started
using
a cell-free salt solution of identical concentration. It
was continued
until the
A500 reached a low value of

0.005.
The
glass containers at the inlet and outlet were weighed to accurately
determine the constant flow rate. Some of these experiments were
conducted in duplicate and some were conducted in triplicate to
assess
the method reproducibility.

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FIG. 2.
Schematic diagram of the modified experimental technique
used to collect bacterial breakthrough data.
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|
 |
RESULTS AND DISCUSSION |
The first results to be presented illustrate the experimental
artifacts obtained with the traditional packed-bed technique. Figure
3 illustrates the effect of phosphate
salt concentrations on the bacterial breakthrough curves when the
breakthrough data are obtained by the traditional packed-bed technique
shown in Fig. 1. Only the effluent concentration data were monitored,
and the breakthrough data were obtained by assuming a constant influent concentration. The phosphate salts were dissolved in an inlet reservoir
in which the bacterial suspension was being stirred for the entire
duration of the experiment. The breakthrough curves show a significant
dependence on the concentration of phosphate dissolved in the bacterial
suspension. As the concentration of the phosphates increases from zero
to 10
1 M, the breakthrough curves progressively achieve
smaller values, indicating greater attachment of bacteria to the porous
media. To confirm our assumption of a constant value of
Co, we checked the bacterial concentration in
the inlet beaker with a spectrophotometer. This concentration was also
found to decrease with time.

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FIG. 3.
Effect of phosphate salt concentration on bacterial
breakthrough curves; data obtained by traditional packed-bed technique.
DI, deionized.
|
|
To investigate this decrease in the influent cell concentration, we
performed an experiment in which the bacteria were suspended in
deionized water in the same beaker and at the same volume, concentration, and stirring speed as used in the column transport experiments. A flowthrough cell inserted within a visible
spectrophotometer was connected to the cell suspension. The metering
pump used in the column transport studies was used to pump the bacteria
through the flowthrough cell at the same flow rate (5.0 ± 0.3 ml/min). Phosphate salts corresponding to a concentration of
10
2 M were added to the stirred cell suspension at time
zero, and the absorbance of the cell suspension was monitored with
respect to time. The data are shown in Fig.
4. As seen from the graph, the absorbance
begins to decrease with time after about 1 h and then remains
constant after about 4 h. This shows the effect of high phosphate
concentration on the light absorbance properties of the cell suspension
as the cells continue to age in the resting state in the presence of
the salt. This experiment points out the importance of mixing the salts
with the cell suspension in-line rather than in the beaker. This is
done to minimize the amount of time that the cells are exposed to high
salt concentrations and the potential for cell aggregation or osmotic
stress.

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FIG. 4.
Effect of 10 2 M phosphate concentration on
the absorbance of a well-stirred bacterial suspension measured using a
flowthrough cell. Data for bacterial suspension in deionized water are
shown in Fig. 11.
|
|
To further investigate the contribution of this time-dependent decrease
in the influent cell absorbance to the observed decrease in the column
effluent cell absorbance, a control experiment was carried out. The
experimental assembly used for the control experiment was similar to
that shown in Fig. 2 in all respects, except that no sand was packed in
the column. A bacterial suspension was passed through a 30-cm-long
empty column, and a 10
2 M phosphate salt solution was
created using in-line mixing. Both the inlet and outlet concentrations
were monitored as proposed in our improved method, and breakthrough
data were collected. The experiment was performed in duplicate, and the
average data are shown in Fig. 5. The
figure does not show a significant decrease in the relative outlet
concentration (C/Co) with respect to time. This
data indicate that the sand column breakthrough data obtained by using
our method (Fig. 6) are not affected by
any artificial decrease in the cell absorbance properties, as the cells
travel through the sand column. Rather, the observed breakthrough
curves are a result of cell attachment to the porous medium packed in the column.

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FIG. 5.
Control (empty) column experiment indicating
insignificant decrease in C/Co at a phosphate
concentration of 10 2 M.
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FIG. 6.
Effect of phosphate salt concentration on bacterial
breakthrough curves; data obtained by modified packed-bed technique.
DI, deionized.
|
|
Another set of experiments was conducted using the new experimental
assembly and procedure. In Fig. 6, bacterial breakthrough curves are
again shown as a function of phosphate concentration. There is a
significant difference between the two data sets (Fig. 3 and 6),
especially at higher phosphate concentrations. Data in Fig. 6 show
lower bacterial attachment (higher breakthrough curves) than data in
Fig. 3, even though the experiments were conducted under similar
conditions of ionic strength but using different spectrophotometric
monitoring methods. Further, the magnitude of collision efficiency
(
) is dependent on the height of the breakthrough curve as discussed
in the introduction (equation 1). Thus, the two methods will yield
different values of
under identical conditions.
The breakthrough curves in Fig. 6 are shown for each salt concentration
in Fig. 7 to 11 along with the influent and effluent bacterial
suspension absorbance data. A bacterial breakthrough curve at a
phosphate concentration of 3 × 10
2 M is shown in
Fig. 7. A breakthrough curve referred to
as uncorrected C/Co is calculated by assuming a
constant Co with respect to time. The figure
points out a decrease in the inlet absorbance
(A500,o) with time despite the use of in-line
mixing of salts, a procedure meant to minimize this effect. However,
the effect of this decrease in A500,o over time
is minimized in the new setup compared to the traditional packed-bed
technique, which would have led to the markedly different breakthrough
data shown as the uncorrected C/Co. The new
method for collecting breakthrough data takes into account the dynamic
values of A500 and A500,o
and leads to more accurate breakthrough data.

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FIG. 7.
Effect of 3 × 10 2 M phosphate
concentration on bacterial influent and effluent concentration and
breakthrough data.
|
|
Figure 8 also shows a slight decrease in
cell absorbance at the inlet at a salt concentration of
10
2 M. However, the importance of monitoring both the
inlet and outlet concentrations is again evident from the different
breakthrough curves designated C/Co and
uncorrected C/Co. Figures
9 to 11 show data for phosphate
concentrations of 10
3 and 10
4 M and for
deionized water, respectively. The difference between the
C/Co and uncorrected C/Co
breakthrough curve is slight or negligible for these dilute salt
concentrations.

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FIG. 8.
Effect of 10 2 M phosphate concentration on
a representative bacterial influent and effluent concentration and
breakthrough data. Average data with error bars are shown in Fig. 6.
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FIG. 9.
Effect of 10 3 M phosphate concentration on
representative bacterial influent and effluent concentration and
breakthrough data. Average data with error bars are shown in Fig. 6.
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|
Figures 7 to 11 demonstrate that the impact of the salts on the aging
resting-state cells is important at higher salt concentrations (>10
3 M). The decrease in the absorbance of the influent
bacteria was not observed for lower salt concentrations of
10
3 M (Fig. 9) and 10
4 M (Fig.
10) and when the bacteria were
suspended in deionized water (Fig. 11).
This further indicates that stirring alone is not the reason for
decrease in bacterial absorbance but stirring for longer times and
subjecting cells to high salt concentrations is. Mixing of salts
in-line for the purpose of minimizing inlet absorbance changes has been
previously suggested as part of a packed-bed technique for deposition
kinetics of inorganic colloids (4). However, for bacterial
systems, the assumption of constant inlet particle concentration is not
valid at high salt concentrations even with this configuration. Thus,
in-line mixing as well as continuous monitoring of the cell
concentration entering the column is essential.

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FIG. 10.
Effect of 10 4 M phosphate concentration
on bacterial influent and effluent concentration and breakthrough data.
Average data with error bars are shown in Fig. 6.
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FIG. 11.
Representative bacterial influent and effluent
concentration and breakthrough data when bacteria are suspended in
deionized water. Average data with error bars are shown in Fig. 6.
|
|
Our results show clearly that only at unnaturally high ionic strengths
would the artifacts be a problem. However, such high ionic strengths
might be encountered during engineered bioremediation where the
presence of inorganic nutrients might be high enough to induce these
artifacts. Long-term experiments requiring long-term contact between
the salt and the bacteria indeed would be very useful, and our results
show the precautions that researchers should take before conducting
such experiments.
Change in bacterial transport and attachment model parameters due
to the improved method.
The transport and attachment of bacteria
in the porous media can be mathematically described by using an
advection-dispersion equation coupled with rate equations, which relate
to the attachment and detachment of bacteria to and from the porous
media. A set of such mathematical equations which simulate the
bacterial breakthrough curves shown in Fig. 6 is discussed elsewhere
(3). These equations use two bacterial attachment
parameters:
, which is described in the introduction, and
n, which is a bed ripening index. Bed ripening is an
observed increase in bacteria attachment rate with time of filtration
and is attributed to previously attached bacteria acting as additional
attachment sites. These model parameters cannot be theoretically
predicted with sufficient accuracy, but their values can be obtained by
fitting the numerical simulations to the experimental breakthrough
data. Accurate measurement of breakthrough data is therefore important.
Values of

and
n (Table
1)
were obtained by fitting the model to the breakthrough data shown in
Fig.
7 to
9. Two sets of
parameter values were obtained, one by fitting
the model to the
breakthrough data obtained by the improved method and
the other
by fitting the model to the uncorrected data. The improved
method
has corrected the value of

at the highest salt
concentration,
3 × 10
2 M, by 17%. This difference
is less for the lower salt concentrations.
The value of
n
has been corrected by 20% at 3 × 10
2 M salt
concentration, and this difference also narrows for lower
salt
concentrations. Thus, use of the traditional method could
yield model
parameter values that are in error by as much as 20%.
The expected
uncertainty in the experimental data obtained using
the improved method
is less than ±6%, as seen from Fig.
6. This
uncertainty is smaller
than the 20% variance between the results
in Table
1, indicating that
the proposed method leads to an improvement
in the calculated transport
and attachment parameters.
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TABLE 1.
Values of bacteria transport and attachment parameters
obtained by using the proposed method and the
uncorrected methoda
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Analysis of the decrease in the cell absorbance at column
inlet.
To further investigate the reasons for the decrease in cell
suspension absorbance at the column inlet, it was necessary to study
the effects of stirring and/or long-time contact with the phosphate
salts on bacterial absorbance. Contact with the phosphate salts might
cause the cells to shrink in size if the cells adjust to the higher
salt concentrations by excreting some liquids (19).
Microscopic counts (phase contrast, magnification of ×400) were
conducted to look for evidence of cell lysis, but no evidence
for this
was found. Shrinkage was not detectable at a magnification
of ×400,
though this cannot be ruled out due to the limitations
of our
microscope. Microscopic observations did not show any cell
aggregates
either. Stirring of the bacterial suspension as a cause
of the decrease
in cell absorbance was ruled out because the
Co values were constant for low salt concentrations as shown in Fig.
9 to
11. Stirring in the presence of salts was investigated by
using the
criterion for cell aggregation (
1).
In equation 5,
|
(5)
|
rp is dimensionless average interparticle
spacing,
Co is the number concentration of the
particles in bulk, and
ap is the
particle
radius. The relationship between the
A500 of the
bacterial
suspension and the bacterial concentration,
C
(cells per milliliter),
is obtained using microscopic direct counts
(
15) as follows:
C = 1.03 × 10
9 A500. For systems in which
rp 
[
1 + 1/(
ap)], the suspension
is considered dilute
enough to neglect interparticle interactions
in bulk, where

is the
Debye-Huckel parameter. For our system,
rp = 87 from equation 5, and

= 6.4 × 10
9
m
1 at 0.1 M phosphate salts, and
ap = 10
6 m, which makes the
term [1 + 1/(
ap)] close to unity.
This indicates
that the suspension was dilute enough with salts and
cells to
avoid cell aggregation in the
bulk.
One possible reason for the observed decrease in the column inlet cell
suspension absorbance readings is a change in the cell
dimensions due
to changes in salt concentration and osmotic pressure.
Koch
(
11) had attributed the optical changes in
Escherichia coli due to osmotic change to shrinkage. Another possibility is
a
change in the refractive index of the bacterial cell surface
over time.
For the spectrophotometric method to be an even more
useful cell
detection technique, more research is needed to investigate
the
physiological response of microorganisms in the subsurface
to high salt
concentrations.
Conclusions.
We have described an improved method to study the
effects of ionic strength on bacterial transport in a porous medium of
a clean-quartz coarse sand. The method modifies the traditional packed-bed technique by minimizing the time of contact between salts
and bacterial suspension before entry into the porous media. Further,
continuous monitoring of inlet bacterial suspension is shown to be
essential in order to account for a small transient in the inlet cell
absorbance readings which occurs at higher salt concentrations. The
method is fast and simple, and it leads to more accurate breakthrough
data. This method can also be used to study the effect of other
solution properties such as pH or surface-modifying agents, where it is
desired to minimize the impact of these parameters on bacterial
concentration monitoring using light absorbance during long-term
bacterial transport experiments.
 |
ACKNOWLEDGEMENTS |
Support for this research was provided by the National Science
Foundation's combined Research and Curriculum Development Program award EEC-9420526. A Ph.D. fellowship for P.A.D. was provided by
Michigan Technological University.
David Marion and Mike Shafer assisted in the column transport experiments.
 |
FOOTNOTES |
*
Corresponding author. Mailing address: Department of
Chemical Engineering, Michigan Technological University, Houghton, MI 49931. Phone: (906) 487-3468. Fax: (906) 487-3213. E-mail:
drshonna{at}mtu.edu.
 |
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Applied and Environmental Microbiology, February 2000, p. 763-768, Vol. 66, No. 2
0099-2240/00/$04.00+0
Copyright © 2000, American Society for Microbiology. All rights reserved.