Next Article 
Applied and Environmental Microbiology, November 1998, p. 4115-4127, Vol. 64, No. 11
0099-2240/98/$04.00+0
Copyright © 1998, American Society for Microbiology. All rights reserved.
Automated Confocal Laser Scanning Microscopy and
Semiautomated Image Processing for Analysis of Biofilms
Martin
Kuehn,1
Martina
Hausner,1
Hans-Joachim
Bungartz,2
Michael
Wagner,3
Peter A.
Wilderer,1 and
Stefan
Wuertz1,*
Institute of Water Quality Control and Waste
Management, Technical University of Munich, D-85748
Garching,1 and
Department of
Computer Science2 and
Department of
Microbiology,3 Technical University of
Munich, D-80290 Munich, Germany
Received 16 March 1998/Accepted 23 July 1998
 |
ABSTRACT |
The purpose of this study was to develop and apply a quantitative
optical method suitable for routine measurements of biofilm structures
under in situ conditions. A computer program was designed to perform
automated investigations of biofilms by using image acquisition and
image analysis techniques. To obtain a representative profile of a
growing biofilm, a nondestructive procedure was created to study and
quantify undisturbed microbial populations within the physical
environment of a glass flow cell. Key components of the
computer-controlled processing described in this paper are the on-line
collection of confocal two-dimensional (2D) cross-sectional images from
a preset 3D domain of interest followed by the off-line analysis of
these 2D images. With the quantitative extraction of information
contained in each image, a three-dimensional reconstruction of the
principal biological events can be achieved. The program is convenient
to handle and was generated to determine biovolumes and thus facilitate
the examination of dynamic processes within biofilms. In the present
study, Pseudomonas fluorescens or a green fluorescent
protein-expressing Escherichia coli strain, EC12, was
inoculated into glass flow cells and the respective monoculture biofilms were analyzed in three dimensions. In this paper we describe a
method for the routine measurements of biofilms by using automated image acquisition and semiautomated image analysis.
 |
INTRODUCTION |
Biofilms are formed by colonies of
microorganisms embedded in a matrix of extracellular polymeric
substances (EPS), and they accumulate rapidly wherever surfaces
immersed in water offer favorable physiological conditions (11,
13). They are controlled by the growth kinetics of cell clusters
influenced by diffusion and mass transport processes and are subject to
the hydrodynamics of aqueous environments. To study the development and
architecture of undisturbed biofilms in flow cells, nondestructive
procedures including microscopic techniques and image analysis (5,
8, 9, 15, 16, 30, 36, 44), spectrochemical methods such as
Fourier transform-infrared spectroscopy (50, 54), or
electrochemical and piezoelectric approaches (47) have been
the focal point of basic research interests. Conventional concepts
concerning the internal structure of biofilms assume a rather
homogeneous layer of cells. This view has been questioned since
observations of intact and undisturbed biofilms by confocal laser
scanning microscopy (CLSM) have revealed heterogeneous spatial
structures consisting of clusters of bacteria as well as voids and
channels (16, 31, 33, 36, 40). For the geometric description or modeling of such porous media, several simplifying and statistical approaches such as capillary models (60), the hydraulic
radius theory (49), or packed beds (55) have been
developed. Recently, the concept of fractals (37, 38) has
been applied to the description of the geometric structure of biofilms
(23). The density of the biofilms under investigation
increased in the direction of the flow, which led to a characteristic
increase in the fractal nature. The biofilms became more dense and more
compact with age, suggesting that existing pores and channels inside
the biofilm decrease over time (3, 23).
Channels within biofilms obviously allow flow. By the use of
fluorescent beads, it was demonstrated that even layers close to the
substratum were accessible to particulate material introduced into the
bulk phase above the biofilm (53). Using fluorescent dextrans, Lawrence et al. (33) showed that soluble
substrates could penetrate biofilms through pores and channels. The
calculated diffusion rates were always lower than the corresponding
rates in water, and the decrease was dependent on the molecular weight of the dextrans used. Investigating local diffusion coefficients in a
heterogeneous biofilm, de Beer et al. (18) demonstrated that
low-molecular-weight compounds such as fluorescein had the same
diffusivity in cell clusters, interstitial voids, and sterile medium.
The diffusivity of higher-molecular-weight substances such as
phycoerythrin was impeded in cell clusters but not in voids. These and
similar observations give rise to different biofilm models. van
Loosdrecht et al. (57) proposed that a biofilm is influenced
by substrate availability as well as detachment forces. Wimpenny and
Colasanti (63, 64) suggested a unifying hypothesis for
the structure of microbial biofilms based on cellular automaton models
which indicated that biofilm structure was determined mainly by
substrate concentration. van Loosdrecht et al. (58)
responded by suggesting that biofilm structure is determined by
a balance between substrate gradient and the shear rate at
the biofilm surface. The same authors paraphrased
Wimpenny's theory by stating that "biofilm structure was
largely determined by the substrate concentration gradient at the
biofilm-liquid interface." Little is known, however, about the
relevance of flow within the biofilm and the resulting convective
transport (62). Bulk flow velocity influences mass transport
(17) and the flow in biofilms. Based on oxygen concentration gradients, it was reported that convective transport did not play a
role in terms of mass transport until a minimum flow velocity is
reached, i.e., when the mass transfer boundary layer follows the
heterogeneity of the biofilm surface (17). To model these transport phenomena, a three-dimensional (3D) approach is required.
The direct observation of microbial populations and biological activity
is necessary to provide exact information on cluster and population
dynamics, metabolic processes, resistance to antimicrobial agents, or
predation within an organized functional biofilm structure. It is of
paramount interest to acquire numerical information about biofilm
morphology. This is done by digital image processing. Its use in
microbiology, especially in combination with CLSM, has been extensively
summarized (10, 11, 22). Principally, it can be emphasized
that digital image processing is time-consuming and tedious. Previous
attempts have been made to detect bacterial cells semiautomatically in
aquatic samples (4, 21, 52, 59) or automatically in soil
smears (5, 6). However, these methods are based on
delineating individual cells by applying algorithms for automatic edge
detection of bacteria (52, 60) and counting the number of
pixels per cell to determine cell volumes (6). An automated
image analysis technique for quantification of growth-related
parameters in surface-growing bacterial cells was developed by Moller
et al. (41) based on object recognition with the Cellstat
program. However, the system is not suitable for the analysis of
multilayer biofilms. The approach taken in the present study was to
scan through a biofilm and collect quantitative information about the
individual components such as microbial species or EPS based on
specific fluorescence signals. Striving for automation, CLSM
streamlined by the application of digital image processing software,
currently "off the shelf," offers a possible means of improving
biofilm examination. Depicting a preset 3D domain, we developed a
procedure which operates automatically in the CLSM mode and is capable
of storing series of sequential images. The on-line collection of
confocal 2D cross-sectional images is followed off-line by
semiautomated image analysis. We deliberately designed this part to be
semiautomated to allow the researcher to define basic image analysis
parameters like the threshold settings and mathematical filters used.
Once these values have been set, image analysis proceeds automatically.
To test our method, we investigated two different pure-culture
biofilms. Pseudomonas fluorescens is a common environmental isolate and is known to readily colonize surfaces (31, 34). In addition, we chose to investigate biofilm formation by a green fluorescent protein (GFP)-expressing Escherichia coli
strain. GFP from the bioluminescent jellyfish Aequorea
victoria (43) has been gaining increasing importance as
a reporter protein for the visualization of gene expression (7,
14, 27, 56) and protein subcellular localization (61).
However, its expression in biofilms has seldom been evaluated. The use
of oligonucleotide probes for the identification, localization, and
quantification of microorganisms in biofilms is also on the rise
(24, 39, 42). Taking into account the percentage of the area
covered by microorganisms in relation to a lens-dependent reference
area, microbial distribution may be determined for each confocal
optical section. Finally, biovolumes can be obtained by a numerical
integration algorithm. Due to reflected- and dissipated-light phenomena
caused by the flow cell surface, some images of P. fluorescens biofilms could not be used directly for evaluation.
However, a numerical approximation method incorporated into the
commercial image analysis software package enabled the quantitative
evaluation of biofilm growth directly on the surface by extrapolation
with sufficient accuracy.
 |
MATERIALS AND METHODS |
Microscopy and image generation.
A series of images in the
z direction (z series) were digitized in selected
optical planes with a CLSM 410 confocal laser scanning microscope
coupled to an AXIOVERT 135M inverse microscope (both instruments from
C. Zeiss, Jena, Germany). The system used a motorized computer-assisted
device to control the vertical positioning during optical sectioning of
the biofilm. Image scanning was carried out with the 488- and 543-nm
laser lines. Images were obtained with a 100×/1.3 NA Plan-Neofluar oil
immersion lens.
Images could be generated either interactively by calling appropriate
command line scripts by using the dialog and menu facilities of the
CLSM software (Zeiss) or by applying user-specified macro sequences. We
used the technique of automated microscope image acquisition in situ by
applying macro routines. After manually setting the calibration value
corresponding to lens magnification and the contrast and gain levels
for the microscope, we programmed the system to acquire images
automatically without any operator intervention. The images were saved
on an external 1-GByte hard disc or on a streamer before being analyzed.
Automated image acquisition.
As reported by Engelhardt and
Knebel (20), sagittal (xz) sectioning produces
axial aberrations, which skew the results if they are not taken into
account. Depending on the resolution of the objective lens, the margin
of the relative error may be as high as 75% (28). To cope
with this problem, only the xy register for horizontal
sectioning was used for image generation during CLSM. As shown in Fig.
1 the stacks are composed of horizontal image sections separated by vertical step intervals
z.
The pixel resolution in correspondence with the lens magnification
defined the reference length. Each package consisted of le
images, and each image stack contained ke image packages.
The desired number of images in the x and y
direction (ie and je, respectively) determines the total number, ne, of stacks. Variable distances,
dx and dy, between the image stacks can be chosen
independently. Based on a user-specified macro procedure, the image
generation was automated.

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FIG. 1.
Stepwise acquisition of confocal images by means of a
user-defined processing routine (see the text for details). i, j, k,
l = loop indices; n = image stack count index; ie = number of image stacks in direction x; je = number of
image stacks in direction y; ke = number of image
packages P(k) within image stack S(n); le = number of horizontal
image sections I(l) within image package P(k); and ne = total
number of image stacks S(n) within the area of interest.
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|
Digital image processing and analysis.
Digital image
processing and analysis (Fig. 2) were
performed with a QUANTIMET 570 computer system (Leica, Cambridge,
United Kingdom). The morphological processor enhanced images, discarded unwanted details, and accelerated grey-scale processing. Computerized image analysis comprises a sequence of operations dependent on the
specimen being studied. Before the automated image processing on the
QUANTIMET was activated, pixel calibration and image setup were defined
relative to the calibration value used for image generation on the CLSM
system. In this dialog, the size and position of the "area of
interest" for measurements were specified manually. The QUANTIMET was
programmed to perform a sequence of automated operations such as image
acquisition, grey image analysis, detection, measurements, volume
integration, and data recording and display. Image acquisition involved
loading a series of CLSM images from an external hard disc into the
QUANTIMET memory. Morphological transforms on grey images were carried
out by applying the mathematical filters WSharpen in conjunction with
WTopHat or the Median filter. Detection involves setting thresholds and
allows us to score binary images identified as 0 or 1. Field
measurement sequences were made within the measurement frame by using
binary images. In this dialog, the area covered by microbial growth was
measured for each confocal plane relative to the thickness of the
biofilm. The measuring parameter was defined as the area fraction,
i.e., the ratio of detected pixels in the image to the area of the
measurement frame. The calculation of biovolumes was guided by a
numerical integration method by following the trapezoidal rule. Data
recording and display encompassed procedures such as saving the
measured parameters in an ASCII file for the off-line design of
Microsoft EXCEL diagrams for documentation or optional on-line
screening of data tables, histograms, or grey profile plots on the
monitor for a quick examination. The QUANTIMET image analyzer was
operated from a graphical user interface with an interactive image
analysis software package. The command line scripts of QUIN (QUANTIMET under Windows) allowed a stepwise interactive protocol. The syntax of
this interpreter-based language is similar to that of popular PC
languages such as QBASIC. Repeatable measurement routines were rapidly
created with the built-in image-processing macro software QUIPS
(QUANTIMET Image Processing System). The programming codes are
available from the authors on request.

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FIG. 2.
Flowchart of the macro routine for image analysis with
the Leica QUANTIMET computer. The software was programmed to perform a
sequence of automated operations including image acquisition, grey
image analysis, detection, measurements, approximation, biovolume
integration, and data recording and display. k, l = loop indices;
n = image stack count index; ke = number of image packages
P(k) within image stack S(n); le = number of horizontal image
sections I(l) within image package P(k); ne = total number of
image stacks S(n) within area of interest.
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Flow cell system.
To cultivate cells under defined
conditions, an aerated and stirred reservoir can be used either as a
fermentor or as a nutrient vessel depending on the mode of operation
(Fig. 3). For microscopic observations
and measurements, the reservoir was connected to a glass flow cell with
silicone tubing. The flow cell was integrated into the suction branch
of the hydraulic loop midway between the displacement pump and the
reservoir. Oxygen and pH probes were used to monitor conditions in the
bulk fluid inside the tubing. A pressure-independent displacement pump
(Netsch, Waldkraiburg, Germany) was used to ensure a constant and
continuous flow. The pump was equipped with a rotating screw spindle.
To keep pulsation effects on the volume flow small, the pump was
operated at higher rotations per minute than needed. The volume flow
could then be adjusted to the desired flow rate by positioning a
thrush-valve downstream. The increasing hydraulic pressure between the
pump and thrush-valve was alleviated by means of a valve incorporated into a hydraulic feedback loop encompassing the displacement pump. By
controlling the rate of pumping in connection with appropriate thrush-valve and hydraulic pressure abatement settings, a fluid velocity essentially free of oscillations could be attained.

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FIG. 3.
Schematic diagram of the experimental setup. The main
components are the nutrient reservoir and the flow cell under a Zeiss
confocal laser scanning microscope coupled to a Leica QUANTIMET image
analysis computer.
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The test setup worked as an open loop. The glass flow cell depicted in
Fig.
4 was 46 mm long, 8 mm wide, and 2.7 mm high and
consisted of two coverslips, each 0.2 mm thick, glued with
silicon
sealant to a stainless steel frame. The area of the canal cross
section,
Ac, measured 21.6 mm
2.

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FIG. 4.
Detailed view of the glass flow cell. Channel length
(Lc) = 46 mm; channel width (Wc) = 8 mm;
channel height (Hc) = 2.7 mm; channel cross-sectional area
(Ac) = 21.6 mm2.
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Flow cell hydrodynamics and domains of measurement.
Taking
into account the flow rate, Qc, the mean bulk
fluid velocity, vm, in the cell can be
formulated as
|
(1)
|
where
Qc is the flow rate in the flow
cell,
Ac is the cross-sectional area of the
cell, and
vm is the mean bulk velocity
of the
fluid.
To study microbial colonization patterns in continuous- and
laminar-flow environments, images were generated within specific
flow
cell regions (Fig.
5). For experiments
based on autofluorescence
produced by
P. fluorescens, the
domain of measurements had the
following geometry: length in the
x direction, 639 µm; length
in the
y direction,
3,067 µm; and length in the
z direction, 20
µm. This
resulted in a three-dimensional analysis of a 3.92 ×
10
7-µm
3 box with a basic area of 1.96 × 10
6 µm
2. For the treatment of the 3.92 × 10
7-µm
3 box describing the
P. fluorescens culture, 1,920 images were
captured. The procedure was
carried out fully automatically by
using a macro routine running on the
CLSM computer and required
60 min to scan the probe and control the
mechanical movement of
the microscopic stage. To build up a single
horizontal image section
of 512 by 512 pixels, the scanning time was
1 s. The domain of
interest was split into four stacks for the
x direction and 24
stacks for the
y direction,
with 20 horizontal image sections
per stack (Fig.
1 and
5). To obtain
statistically representative
results for a
P. fluorescens
culture, Korber et al. (
25) proposed
the use of an analysis
area exceeding 10
5 µm
2 for each vertical step
within the box of measurement. Comments
about this task may be found in
Discussion. When obtaining images
from the
E. coli EC12
biofilm, a domain of 511.2 µm (
x) by 511.2
µm
(
y) by 5 µm (
z) was scanned. The scanned domain
of interest
consisted of 96 images corresponding to four stacks in the
x direction
and four stacks in the
y direction
with six images per stack.
At each depth, 2.6 × 10
5
µm
2, encompassing a total volume of 1.3 × 10
6 µm
3, was scanned. By choosing a time of
1 s for each scan, the total
computer time of the CLSM device,
including control and mechanical
movement of the microscope stage, was
about 15 min. For both experiments,
the starting points of the
measurements were positioned near the
flow cell wall.

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FIG. 5.
Graphical outline of the flow cell, indicating
qualitatively the velocity profile of the fluid flow and the
geometrical position of the domain of measurement within the cell. The
dimensions given refer to the domain of measurement used on P. fluorescens biofilms. Domain of measurement: length in direction
x, 639 µm; length in direction y, 3,067 µm;
length in direction z, 20 µm.
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Experimental conditions for the measurements of bacterial
autofluorescence.
An overnight culture of P. fluorescens cultivated in 0.1× Merck standard I broth was
inoculated into an aerobic fermentor. The fermentor was connected to
the flow cell with silicone tubing. The hydraulic loop was open, and
the bacterial suspension was circulated through the conduit system at a
constant flow rate, Qc, of 3.0 liters
h
1 by a pressure-independent pump while maintaining a
temperature of 20°C within the fermentor. Merck standard I broth was
added at 5.0 ml min
1. The stirrer device was operated at
150 rpm. The individual components of the complete system were either
autoclaved or sterilized with 0.1× acetyl hydroperoxide and rinsed
with autoclaved distilled water before use. Before inoculation, a blank
solution of autoclaved nutrients consisting of 0.1× Merck standard I
broth was passed through the experimental system to prime the tubes and
to purge air from the system.
The mean flow velocity,
vm, in the observation
cell was 3.5 cm s
1, corresponding to a Reynolds number
Re

140. Therefore, adhesion
and growth of bacteria occurred
under laminar-flow conditions
and were influenced by the frictional
forces of the fluid. During
the course of the experiment, the
temperature and pH of the bulk
fluid were continuously monitored. By
applying a laser beam at
a wavelength of 488 nm, cells could be
visualized directly in
the flow cell based on their autofluorescence.
The attachment
of cells was monitored microscopically at a
magnification of ×100.
After 13 h, cells had already settled
along the cell walls. After
14 h, cell attachment in the biofilm
was subjected to CLSM image
acquisition in situ. All the images
generated during the experiment
underwent automated image analysis and
data evaluation on the
QUANTIMET computer
system.
Experimental conditions for the investigation of a biofilm formed
by a GFP-expressing E. coli strain.
The pGFP cDNA
vector (Clontech, Palo Alto, Calif.) was introduced into E. coli DH5
by transformation. The resulting transformants manifested ampicillin resistance (20 µg ml
1) and
fluoresced brightly when illuminated with UV light (365 nm with a
transilluminator). One transformant colony was purified by substreaking
and was termed strain EC12. An overnight culture of E. coli
EC12, grown in Luria broth-ampicillin (20 µg ml
1)
medium was inoculated into the flow cell. The culture was allowed to
reside in the flow cell for 2 h after inoculation to facilitate attachment of the cells to the walls of the flow cell. In this experiment, the setup was also operated as an open system. Luria broth
(0.1×) was pumped through the flow cell at a rate of 15 ml
h
1. This very slow flow minimized medium expenditure and
allowed observable E. coli EC12 biofilm development over a
7-day incubation period. GFP fluorescence was observed with a 488-nm Ar
laser. Light of the desired wavelengths was collected by using a 510- to 525-nm bandpass emission filter. Data collection and image analyses
were carried out as described above.
Hybridization of E. coli EC12 biofilm cells.
On
day 7, the biofilm was hybridized directly in the flow cell with the
probe EUB338, specific for the domain Bacteria
(2). The probe was labeled with the isothiocyanate
derivative CY3 (MWG-Biotech, Ebersberg, Germany). Before hybridization,
the biofilm was fixed with a 4% paraformaldehyde solution (2 h at room
temperature). The paraformaldehyde solution was washed out with
phosphate-buffered saline (NaCl, 8 g liter
1; KCL,
0.2 g liter
1; Na2HPO4,
1.44 g liter
1; NaH2PO4,
0.2 g liter
1 [pH 7.0]). A dehydration step was not
included, to keep the 3D biofilm structure intact. Based on the
dimensions of the flow cell (46 by 8 by 2.7 mm), the volume of the cell
was calculated to be 993.6 mm3. To hybridize cells on both
the top and bottom coverslips, 1 ml of a hybridization solution (30%
formamide, 0.9 M NaCl, 20 mM Tris-HCl [pH 7.2], 100 µl of EUB338
probe [30 ng µl
1]) was introduced into the flow cell.
Hybridization was carried out at 46°C for 2 h. The hybridization
solution was washed out with a wash solution (112 mM NaCl, 20 mM
Tris-HCl [pH 7.2], 5 mM EDTA), and the biofilm was incubated with
fresh wash solution for 30 min at 48°C. Finally, the wash solution
was replaced with phosphate-buffered saline and the labeled biofilm was
observed by CLSM. The CY3-conjugated probe was visualized with the
543-nm line of the HeNe laser, using a 570-nm longpass emission filter. Data collection and image analysis were carried out as described above.
 |
RESULTS |
Biofilm analysis immediately on the substratum surface.
The
images depicting bacterial aggregations of P. fluorescens
adhering to the glass surface (substratum) of the flow cell at position
z = 0 µm were occasionally obscured by diffuse light reflections (Fig. 6). Consequently,
these images could not be used for image analysis. For adhesion
studies, where the growth of biofilms immediately adjacent to the
substratum is of interest, it is essential to include this cell
material in the overall biofilm characterization. For P. fluorescens, it is known that the highest density of cells is
found near the substratum (29, 32). Therefore, a numerical
approximation procedure was integrated into the analysis software for
optional use. The main problem was to find a best-curve-fitting algorithm which estimated the cells directly on the substratum with an
acceptable degree of accuracy. Usually, measured data show a certain
statistical scattering. To extract the essential underlying functional
correlation, linear regression models allow the construction of
polynomials of a certain degree that fit optimally to the measured data
points in a least-squares sense. If the measured data are statistically
relevant (and if there exists a functional relationship that describes
reality with sufficient accuracy), we can then use the polynomial for
interpolation, i.e., for calculation of values between points of
measurement, and for extrapolation, i.e., for approximation of values
in regions where a measurement is not possible or reliable. The main
advantage of least-squares-based methods is their computational
simplicity. They are linear methods and generally do not require any
iteration on the data. Their main disadvantage is that they may lead to
biased estimates in the presence of measurement noise. However, the
experimental data did not show any effect of such measurement noise. In
our case, an approach of polynomial degree 6 turned out to be
sufficient:
|
(2)
|
If necessary, the coefficients
ai must be
determined for the region near
z = 0 µm for each
image stack separately (Fig.
1).
The numerical algorithm is based on
MATHEMATICA routines and is
stated elsewhere (
66). A typical
test sample is given in Fig.
7. The open
symbols feature measured data points and are used
for the calculation
of the coefficients
ai. The figure presents
the
area of microbial colonization plotted against
z-scanning
positions for one stack typical of
P. fluorescens
colonization
within the flow cell. For this stack, the curve-fitting
method
leads to the following coefficients of the polynomial:
a0 = 25.6375,
a1 =

12.2715,
a2 = 2.76465,
a3 =

0.330758,
a4 = 0.0212805,
a5 =

0.000691, and
a6 = 8.85432 × 10
6.

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FIG. 6.
Optical sectioning produced by CLSM, illustrating the
horizontal colonization of P. fluorescens at different flow
cell depths. In some cases, images were affected by light reflections
at the position closest to the substratum.
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FIG. 7.
Typical diagram indicating P. fluorescens
biofilm colonization near the substratum. The numerical approximation
procedure was a least-squares fit of measured data points to a
polynomial function (see the text for details).
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|
Note that, for this stack, the small values of
a5 and
a6 indicate that,
at least for the extrapolation in
z = 0 µm, a
polynomial
of degree 4 might have been sufficient. However, for
reliable
interpolation for larger values of
z, the higher
coefficients
are also
important.
Determination of biovolumes.
Once all the images have been
analyzed (see Materials and Methods), the biovolumes of the individual
stacks are calculated by numerical integration over all packages of a
stack (Fig. 2). Such a summation of the local volumes enclosed in each
package within the respective stack (Fig. 1 and 2) allows the
assessment of the accumulated biovolume within the region of interest.
Thus, our aim is the integral
|
(3)
|
where
V denotes a given stack,
f(x,y,z)
denotes the local density of bacterial accumulation, and
denotes the bacterial accumulation on a horizontal sectional area
as a
function of
z. In our special situation, the numerical
integration
in the
x and
y directions is done
automatically by the image analysis
process, resulting in a table of
discrete values of
F(z). Therefore,
of course, the integral
in the
z direction must also be approximated
numerically,
and this must be done explicitly. The most widespread
algorithms for
the numerical integration of a function
F over
a finite
interval [
za,
ze] are weighted sums of values
F(zm) of
F in a finite number of
nodal points (or optical sections)
zm 
[
za,
ze]. Due to the setting indicated in Fig.
1 (
ke packages
of
le images), we obtain
|
(4)
|
with (usually) nonnegative weights
cm and

.
Concerning the choice of the weights
cm, the
most simple and popular approach is the trapezoidal sum. The method has
the advantage
of being independent of the number of supporting data
points.
Here, the function
F(z) is replaced by the piecewise
linear function
that interpolates the discrete points
[
zm,
F(zm)], 1
m
me.
This interpolant is now easy to integrate, since it
is just a
sum of trapezoids,
|
(5)
|
which led to the method's name. In our case, we have equidistant
nodal points and thus can note for vertical step intervals
of
horizontal image sections that
zm+1
zm =
z = constant.
Consequently, the approximate integral
Inum for the biovolume
Vn
enclosed in each stack
Sn at a certain
xy position (Fig.
2)
is given by
|
(6)
|
Here,
n denotes the number of the stack and can be
defined as
n = (i
1)
× je + j
with loop indices
i, 1
i
ie, and
j,
1
j
je, in the
x and
y directions, respectively. Note that
the
error caused by approximating the exact integral by the trapezoidal
sum
is proportional to
z2 if
F is
sufficiently
smooth.
Finally, all stack volumes summarized over the predefined area of
interest (Fig.
1 and
5) allow us to assess the total biovolume,
Vt, accumulated in the domain of measurement.
The description
of this process is
|
(7)
|
where
Vr = reference volume
l3, and
lr3 = reference length;
it depends on the magnification of the lens in
use.
Bacterial colonization measured by autofluorescence.
Figure 6
shows a P. fluorescens colonization event at different cell
depths for a representative y section after 14 h of
flow cell operation. Images in the zones near the glass surface
(substratum) of the flow cell were quantified by the numerical
approximation method as described above.
Figure
8 is a 3D representation of the
P. fluorescens culture in the flow cell. The results
represent the onset of cell accumulation.
Featured is the ratio of the
area of microbial colonization,
Am
F(z), to the microscopic area,
Ar =
lr2, for
the
x position at 63.9 µm and all
y stations.
The reference
length
lr depends on the lens
magnification and is given by
lr = 127.8 µm
for the 100× objective lens. The results, expressed
as
percentages, delineate the early stage of cell attachment characterized
by the boundary layer of the fluid. An exponential behavior in
the
vertical and horizontal directions determines cell growth
activity
within the whole domain of measurement controlled by
the
three-dimensional flow profile of a laminar-flow field. In
the initial
phase of colonization, cell aggregates are found where
the flow
velocity is low within the boundary layer, i.e., on the
glass surface
near the flow cell walls.

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|
FIG. 8.
3D representation of a P. fluorescens biofilm
in the flow cell. The biofilm was analyzed after a 14-h test run. The
results characterize the early stage of colonization. During the
experiment, the flow rate setting was 3 liters h 1.
|
|
In Fig.
9, calculated biofilm volume
stacks are presented. At each
xy position, the results for
20 horizontal CLSM sections
were integrated by means of the numerical
procedure discussed
above. The volumes
Vn
occupied by the microbial colonies are featured
as percentages of the
total microscopic volume
Vr =
lr3, with
lr = 127.8 µm. At position
x = 63.9 µm, the calculated
volumes
of the microbial colonization data portrayed in Fig.
8 can be seen as
columns over all
y stations. Stack volumes on display
in
Fig.
9 may be summarized to the total biovolume
Vt in accordance
with equation 7 by using the
macro routine.

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|
FIG. 9.
Calculated biofilm volume stacks in the flow cell. At
each xy position, the areas of microbial colonization
portrayed by 20 horizontal CLSM sections were integrated by the
numerical procedure outlined in the text. During the experiment, the
flow rate setting was 3 liters h 1. The biofilm was
analyzed after a 14-h test run. The results represent the early stage
of colonization of an axenic cell culture of P. fluorescens.
|
|
E. coli EC12 biofilm.
Figure
10 illustrates the E. coli
EC12 biofilm on day 7 as determined by GFP fluorescence and by
fluorescent in situ hybridization with the EUB338 oligonucleotide probe
at position x = 447.3 µm. As depicted in Fig. 10, the
cellular distribution shows that the biofilm was thickest at 1 to 2 µm from the attachment surface. Hence, colonization varied
nonlinearly with depth, in contrast to the colonization of P. fluorescens (Fig. 9). Extrapolation by polynomial approximation to
account for bacterial cells at z = 0 µm was not
necessary since no diffuse light reflections were observed. The
E. coli biofilm consisted primarily of cell clusters
attached by a few cells to the glass surface (data not shown). GFP
fluorescence was also observed in the deeper layers of the biofilm.
Signals from in situ hybridization of the biofilm suggested the same
colonization pattern (Fig. 10). At each xy position, the
results for six horizontal CLSM sections were integrated by the
numerical procedure discussed above. The volumes were calculated as
described above and are displayed in Fig.
11. There was no clear trend in terms
of the distribution of cell material across the flow channel as
measured by biovolumes based on GFP fluorescence. This may be because
the biofilm was older (7 days) and the data represent a mature biofilm,
whereas the P. fluorescens biofilm represented the initial
colonization stages, which are highly influenced by the flow regimen in
the channel.

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|
FIG. 10.
E. coli EC12 biofilm on day 7, shown as
colonization percentage at position x = 447.3 µm.
Both GFP fluorescence and signals from in situ hybridization with the
EUB338 probe are depicted. Note the similar distribution patterns of
GFP and CY3-EUB338 fluorescence.
|
|

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|
FIG. 11.
Calculated E. coli EC12 biofilm volume
stacks at selected positions in the flow cell. At each xy
position, the areas of microbial colonization portrayed by six
horizontal CLSM sections were integrated by using the numerical
procedure outlined in the text. During the experiment, the flow rate
setting was 15 ml h 1. The biofilm was analyzed after a
7-day test run.
|
|
 |
DISCUSSION |
There is certainly no lack of prominent publications on biofilm
studies focusing on technical innovations, especially in the field of
CLSM techniques in connection with analytical imaging (6, 10, 11,
35). However, little attention has been paid to the question of
how to perform an overall analysis covering extended 3D regions of
biofilm structures cultivated under various flow conditions. The
procedure should facilitate a quantitative estimate by means of an
automated approach without any operator intervention.
We presented a method involving an automated procedure for studying
biofilm growth in extended 3D domains. In combining in situ CLSM with
off-line image processing and analysis techniques, we sought to
establish a user-friendly method that would allow automated
quantitative measurements. Designing the routine was a multifaceted
approach enclosing elements of biotechnology, signal processing,
elementary mathematics, and computer programming. The image
analysis processing has been made intentionally semiautomated, since
biofilm research is unquestionably a complex task, based upon the
degree of judgment and experience of the individual researcher. Hence,
before the automated image analysis can begin, pixel calibration and
image setup must be defined with respect to the calibration value used
for the image generation on the CLSM system. In addition, laser
beam, mathematical filter, and threshold settings are not suitable for automation.
To demonstrate the power of this method, we performed biofilm analysis
based on both autofluorescence of P. fluorescens and GFP
expression including in situ hybridization of E. coli EC12. Analysis of the P. fluorescens biofilm revealed that most of
the biomass, expressed as microbial colonization detected by
autofluorescence, was concentrated at the attachment surface
(z position, 0 µm [Fig. 8]). These observations are in
accordance with the results from other investigations (29,
32). P. fluorescens has a tendency to form a tightly
packed surface monolayer of cells which serves as a base for the less
dense biofilm layers that extend into the bulk aqueous phase. In
addition, P. fluorescens, due to its motility, has been
shown to colonize surfaces more rapidly than nonmotile microorganisms
do. Korber et al. (26) confirmed that cellular motility
plays an important role during cell positioning and formation of
biofilm microenvironments in studies with motile (Mot+) and
nonmotile (Mot
) P. fluorescens strains. The
effect of motility on bacterial colonization of surfaces has been
discussed in a review on behavioral strategies of surface-colonizing
bacteria (34). In contrast, the E. coli biofilm
manifested the highest cell density 1 to 2 µm from the attachment
surface, as revealed by GFP fluorescence and in situ hybridization
(Fig. 10). Cellular agglomerates were observed, with a few cells
attached at the surface facilitating a sessile connection with the bulk
of the clusters. Investigating Vibrio parahaemolyticus
biofilms, Lawrence et al. (31) observed that the lowest cell
density was found at the attachment surface whereas the highest cell
density was detected in the outer region of the biofilm. The
researchers suggested that the maintenance of a minimal basal layer was
important in preventing uncontrolled sloughing of the biofilm.
Interestingly, Neu and Lawrence (46) demonstrated in
natural-biofilm studies that substantial cell density was also present
at some distance from the attachment surface and not in the lowest
layers of the biofilm.
Since GFP fluorescence persists even after treatment with formaldehyde,
the detection of GFP-expressing cells may be combined with fluorescent
in situ hybridization with oligonucleotide probes (19). Our
observations confirmed that most cells which exhibited GFP fluorescence
could also be hybridized with the EUB338 probe (Fig. 10). Figure 11
shows that the detected GFP fluorescence occupied on the average a
slightly greater biovolume than that represented by signals from in
situ hybridization. The observed difference in biovolume was not due to
a higher relative signal intensity caused by GFP than that caused by
hybridization. Likewise, the omission of ethanol in the fixation
procedure (see Materials and Methods) did not interfere with
hybridization of E. coli cells. This step was avoided,
to maintain the spatial structure of the biofilm. Moller et al.
(42) reported that the dehydration step caused a biofilm to
shrink in the z direction from an average of 365 µm for
the fully hydrated biofilm to a thickness of 25 to 70 µm. It should
be noted, however, that the application of paraformaldehyde also
results in some loss of water. It is possible that after the experiment
had run for 7 days, the biofilm cells were no longer as active as, for
example, at the beginning of the experiment. Since GFP fluorescence
persists in the stationary phase (56), it is likely that
cells with a lower ribosomal content were detected by GFP fluorescence
but not by the oligonucleotide probe. For example, Kalmbach et al.
(24) showed that the respiratory activity and ribosome
content of adherent bacterial cells decreased continually during the
early stages of development of a drinking-water biofilm. Similarly,
Poulsen et al. (48) demonstrated that the doubling time in
an established biofilm was significantly longer than in a young
biofilm. Amann et al. (1) suggested that nonlogarithmically growing cells of certain bacterial genera were difficult to
detect with oligonucleotide probes because of their low cellular
rRNA content. To test this assumption in our study, it would have been necessary to run parallel setups and to hybridize the biofilm at the
beginning and throughout the experimental period as well. However, this
was not feasible due to the limitations imposed by a single-flow cell.
Another possibility would be to increase the hybridization time. For
example, Moller et al. (42) applied an EUB338 probe to a
multispecies biofilm and carried out the hybridization for 16 h at
37°C. In contrast, the signals obtained from a groundwater biofilm
hybridized with the EUB338 probe for 2 or 16 h did not differ
significantly (45).
Korber et al. (25) were the first to investigate large areas
of microbial biofilms by using statistical assumptions. It is well
known that biofilm habitats cannot be considered to have deterministic
structures on a microscopic scale. Consequently, it is hardly feasible
to predict precisely the parameters of many phenomena occurring in such
systems. These processes are called random processes; therefore, a
reliable method is needed that predicts the smallest possible
domain of interest and also confirms the "representative areas"
within a desired interval of confidence. This means that the biofilm
unit under study should be adequately represented, such that the entire
range of data variability of its architecture is encompassed. The
statistical methods proposed by Korber et al. (25) may in
some cases simplify the experimental design, including data analysis,
in a straightforward manner. Applying the method of representative
elementary area in connection with the method of determined confidence
intervals in practice assumes that the data in hand are normally
distributed or could be normalized through transformation.
Categorizing acceptable variability limits for biofilm data
is a tedious and excessive process. The limit values invariably differ
among species, growth inhibitions, or stimulations by environmental
conditions. They are also influenced by morphological alteration, by
the motility or recolonization behavior, and by the arrangement and
instrumentation of the experimental test setup. Some statistical
methods are distribution hypotheses. In the light of empirical
examinations, estimation functions based upon hypotheses must be
checked before being used. They may be accepted or rejected.
Furthermore, it should be noted that statistical methods have a
generalizing character and so some special information hidden within
the biofilm architecture may be lost. Otherwise, it can be assumed that
not all cell distribution patterns within a biofilm follow the Gaussian
probability distribution function. Up to now, we did not incorporate
statistics in our concept. Nevertheless, it would be good practice to
exercise statistical mathematics in parallel for cross-checking the results.
It should be mentioned that the outlined procedure does not represent a
true 3D approach, even though biovolumes were calculated, indicating
biomass trends. 3D programs are based on volume units, called voxels
(10, 12), and create 3D projections from any viewpoint of
the specimen or region of interest. The 3D imaging software currently
available on the market is very expensive, time-consuming in its
application, memory intensive, and suitable mainly only for descriptive
demonstrations of the object. At the moment, no ready-to-use programs
are able to elucidate and quantify dynamic processes occurring in real
3D biofilm structures. In the method described here, it is assumed that
no gap or wraparound failures are present between adjacent
sampling areas, because backlash margins in maneuvering the scanning
stage may be small. To acquire quantitative data
automatically, we applied macro routines written by the user. The
routines are based on basic 2D computer software. In
evaluating biovolumes, we did not discriminate between cells and
extracellular substances. However, suitable genetic markers, such as
GFP or fluorescently labelled rRNA-directed oligonucleotide probes, as
well as general nucleic acid stains in conjunction with EPS-specific
fluorescent stains or lectins (46), could be used to
quantify defined biofilm entities. In the absence of a true estimate of
cell numbers in an undisturbed biofilm, a semiautomated quantification
of the relative spatial distribution of cellular and extracellular
material presents a promising tool for quantitative biofilm analysis.
 |
ACKNOWLEDGMENTS |
We thank P. Hutzler for critically reading the manuscript. We are
grateful to G. Schaule and R. Amann for donating the P. fluorescens and E. coli DH5
strains, respectively.
This research was supported by grant Wu268/1-2 from the German Research
Foundation (DFG) to S.W. and by the Research Center for Fundamental
Studies of Aerobic Biological Wastewater Treatment (SFB411), Munich, Germany.
 |
FOOTNOTES |
*
Corresponding author. Mailing address: Institute of
Water Quality Control and Waste Management, Technical University of
Munich, Am Coulombwall, D-85748 Garching, Germany. Phone: 49 (89) 2891 3708. Fax: 49 (89) 2891 3718. E-mail:
stefan.wuertz{at}wga.bauwesen.tu-muenchen.de.
 |
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Applied and Environmental Microbiology, November 1998, p. 4115-4127, Vol. 64, No. 11
0099-2240/98/$04.00+0
Copyright © 1998, American Society for Microbiology. All rights reserved.
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