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Biophys J, September 2000, p. 1655-1669, Vol. 79, No. 3
Department of Physics and Biophysics Research Division, University of Michigan, Ann Arbor, Michigan 48109 USA
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ABSTRACT |
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Although reversible chemistry is crucial to dynamical
processes in living cells, relatively little is known about relevant chemical kinetic rates in vivo. Total internal reflection/fluorescence recovery after photobleaching (TIR/FRAP), an established technique previously demonstrated to measure reversible biomolecular kinetic rates at surfaces in vitro, is extended here to measure reversible biomolecular kinetic rates of actin at the cytofacial (subplasma membrane) surface of living cells. For the first time, spatial imaging
(with a charge-coupled device camera) is used in conjunction with
TIR/FRAP. TIR/FRAP imaging produces both spatial maps of kinetic
parameters (off-rates and mobile fractions) and estimates of kinetic
correlation distances, cell-wide kinetic gradients, and dependences of
kinetic parameters on initial fluorescence intensity. For microinjected
rhodamine actin in living cultured smooth muscle (BC3H1) cells, the
unbinding rate at or near the cytofacial surface of the plasma membrane
(averaged over the entire cell) is measured at 0.032 ± 0.007 s
1. The corresponding rate for actin marked by
microinjected rhodamine phalloidin is very similar, 0.033 ± 0.013 s
1, suggesting that TIR/FRAP is reporting the dynamics of
entire filaments or protofilaments. For submembrane fluorescence-marked actin, the intensity, off-rate, and mobile fraction show a positive correlation over a characteristic distance of 1-3 µm and a negative correlation over larger distances greater than ~7-14 µm.
Furthermore, the kinetic parameters display a statistically significant
cell-wide gradient, with the cell having a "fast" and "slow"
end with respect to actin kinetics.
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INTRODUCTION |
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Active cellular processes involving morphology, such as endo- and exocytosis, ruffling, lamellipodial extension, and cell motility, probably require reversibility in the binding events among submembrane structural proteins and lipids. However, few techniques are available for measuring or imaging in vivo binding/unbinding kinetic rates of proteins in cells. Standard nonimaging techniques for measuring kinetics rates in vitro, such as stop flow, concentration jumps, pressure jumps, and temperature jumps, are difficult to apply to single living cells. Total internal reflection/fluorescence recovery after photobleaching (TIR/FRAP), as described below, is shown in this study to measure and spatially map the varied submembrane binding kinetic rates of fluorescence-marked actin in living cells.
TIR fluorescence (TIRF) is an optical technique used to excite
fluorophores within ~80 nm of a water-glass or cell-glass interface (Axelrod et al., 1992
). The illumination intensity decays exponentially with distance from the surface with a characteristic length that depends on the illumination angle, indices of refraction at the interface, and illuminating wavelength. When applied to a living cell
adhering to a coverslip and injected with a fluorescent actin marker,
TIRF preferentially excites fluorophores at or near the plasma membrane
at the cell-glass contact regions, while not exciting fluorophores
deeper in the cytosol (see Fig. 1).
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TIRF combined with FRAP can measure kinetic rates of fluorescent
molecules in reversible equilibrium with binding sites at a surface
(Thompson et al., 1981
). TIR/FRAP previously has been used to measure
unbinding rates (also called "off-rates") of cytoplasmic proteins
(McKiernan et al., 1997
) and immune system proteins (Hsieh and
Thompson, 1995
; Sheets et al., 1997
; Gesty-Palmer and Thompson, 1997
)
from supported lipid bilayers, and the unbinding rates of hormones from
biological cell surfaces (Hellen and Axelrod, 1991
; Fulbright and
Axelrod, 1993
), all in nonliving systems and in a nonimaging mode.
In this paper, actin in living BC3H1 (mouse smooth muscle-like) cells
is fluorescently labeled by microinjection of either rhodamine-labeled
g-actin or rhodamine-labeled phalloidin (a toxin that binds strongly to
f-actin). Actin kinetics are measured by TIR/FRAP in the presence or
absence of cytochalasin B (which blocks monomer
association/disassociation at the barbed (fast) end of actin polymers;
MacLean-Fletcher and Pollard, 1980
; Cooper, 1987
), sodium azide and
2-deoxyglucose (which block ATP production), and unlabeled phalloidin.
Rhodamine-phalloidin kinetics are also measured in the absence of
further treatment. The spatially resolved kinetic data are displayed as
spatial maps ("images") and analyzed by spatial autocorrelations,
linear gradient fits, and dependence on initial intensity. We find that
the average off-rate of actin is spatially nonuniform and
sensitive to drug treatments. The optical and analysis techniques used
here should be generally applicable to many other membrane or
submembrane binding proteins.
Actin kinetics near the membrane may result from several phenomena:
binding/unbinding of a polymerized f-actin filament side or tip to any
of dozens of membrane-anchoring proteins or protein complexes in the
membrane, binding of monomeric g-actin to specific anchoring proteins,
binding of either type of actin directly to membrane lipids, or
exchange of monomers at the filament tip. F-actin binding directly to
lipid has been detected in vitro, using differential scanning
calorimetry and electron microscopy, and in ionic conditions found in
vivo (Gicquaud, 1993
, 1995
). Rates of turnover in actin filaments in
the cytosol of Swiss 3T3 cells, fibroblast cell lines, and goldfish
epithelial keratocytes have previously been measured by Wang (1987)
,
Theriot and Mitchison (1992)
, and Tardy et al. (1995)
, using FRAP and
fluorescent photoactivation techniques in non-TIR modes.
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MATERIALS AND METHODS |
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Biological preparation
The cell chamber consisted of a 35-mm plastic culture dish with a 3/4" diameter hole drilled out and a cleaned coverslip glued over it onto the outside of the dish with Sylgard 182 epoxy resin (Dow Corning Corp., Midland, MI). Coverslips were previously cleaned by boiling in a porcelain holder in 5% Linbro 7× cleaning solution (Flow Laboratories, McLean, VA) for at least 45 min, followed by rinsing in running deionized water, dipping in acetone three times, and heating at 110-150°C to dryness for several hours.
BC3H1 cells are flat, adherent, irregularly shaped cells on the order of 50 µm across that are a few microns thick at most in extranuclear regions. Injected BC3H1 cells were plated directly into the glass-bottomed dishes described above by standard procedures and incubated for at least 2 days at 37°C, 9% CO2 in Dulbecco's modified Eagle's medium containing 10% heat-inactivated fetal bovine serum (GIBCO, Grand Island, NY). Before microinjection, the medium was replaced with room temperature Dulbecco's phosphate-buffered saline with 1 g/liter glucose (PBSg) (GIBCO).
Microinjection protocol
Cell microinjection was performed on a Leitz Diavert moving stage focus microscope; the same microscope was used for the subsequent optical observations. The entire microinjection positioner setup (as custom-assembled from standard precision translators) was firmly bolted to a microscope support column that moves vertically along with the stage focus mechanism. Starting from the bolting point, the setup consisted of a mechanical x-y-z translator (Line Tool Co., Allentown, PA) onto which was mounted a piezoelectric transducer (Physik Instruments, Costa Mesa, CA) driven by a standard 24-V power supply. To prevent sheer forces on the piezotranslator, the moving end of the piezoelectric transducer was glued to the moving platform of a one-dimensional miniature ball slider (model 0611; Daedel, Harrison City, PA), the frame of which was fixed to the x-y-z translator. A universal joint that held a micropipette holder/pressure tubing assembly (General Valve, Fairfield, NJ) was affixed to the ball slider's moving platform.
Microinjection pipettes (with filaments) were pulled with a Flaming Brown pipette puller (Sutter Instrument, Novato, CA) to a tip inside diameter of ~0.2 µm. Continuous rather than pulse pressure, at 5-20 psi, was used during injection to prevent pipette clogging. Also to prevent pipette clogging, the protein was prefiltered through a 0.22-µm centrifuge filter tube (SpinX; Costar, Cambridge, MA) at ~1000 × g for 5 min. The injection solution was delivered into about four pipettes (with the delivery close to the pipette tip to prevent clogging) with a 5-µl Hamilton syringe (Hamilton Company, Reno, NV). After each use, the syringe was cleaned with ethanol and blown out with nitrogen gas. After the pipette was swung into place on the universal joint and the tip was centered in the field of view, using a 3× objective and darkfield illumination, the pipette tip was brought down with the mechanical translator to touch the cell membrane. With a 40× phase-contrast objective, a dimple could be seen where the pipette touched the membrane. The piezoelectric translator was then transiently powered to give the pipette a ~2-µm fast poke. A ripple throughout the cell indicated that liquid was injected. A slow, contained ripple was found to correlate with probable cell survival, whereas a faster, more violent ripple was found to correlate with probable cell death. If the injection was judged as good, the cell coordinates were recorded. Fig. 2 shows phase-contrast images of several BC3H1 cells, two of which were microinjected. Actin is particularly difficult to microinject because it tends to polymerize where the injection solution contacts the cell buffer solution; after the pipette clogged, it was sometimes intentionally broken on the coverslip and further used at a lower pressure.
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Injection solutions
Three different protein combinations were microinjected, which were prepared as follows.
Rhodamine actin
Actin was purified from rabbit skeletal muscle by the method of Pardee and Spudich (1982)
70°C. The labeled actin was used
within 1 h of being thawed and filtered.
Rhodamine phalloidin
Rhodamine phalloidin was obtained from Molecular Probes (Eugene, OR) and stored in a stock concentration of methanol recommended by Molecular Probes, at ~6 µM at
20°C. For microinjection, the stock solution was ~90% evaporated under nitrogen and reconstituted at 6-12 µM in deionized water. In this form, stored at 10°C, it could be used for up to several days without refiltering.
Rhodamine actin and unlabeled phalloidin
Unlabeled phalloidin from Molecular Probes was stored in a stock solution of ~46 µM in methanol at
20°C and was added without evaporation to rhodamine actin before filtering in a 1:8 (v/v) ratio
for microinjection.
Biochemical disruption treatments
Some of the rhodamine-actin-labeled cell dishes were subject to
specific biochemical disruption. Disruptive treatments consisted of 50 µl of one of the following stock solutions added to the 2 ml of PBSg
already on the cells and triturated ~20 times: 1) cytochalasin B
stock solution (5 mg of cytochalasin B in 1.25 ml ethanol, stored at
20°C; 0.1 mg/ml final concentration of cytochalasin B, a
concentration more than sufficient to totally disrupt actin filaments)
or 2) sodium azide stock solution (5 ml of H2O,
0.33 g of 2-deoxyglucose, 0.13 g of sodium azide, and 0.06 g of NaCl; 10 mM final concentration of both sodium azide and
2-deoxyglucose). For nondisrupted controls, the same solvents (ethanol
or 100 mM NaCl) were added to cells in the same volume but without the
cytochalasin or sodium azide solutes. No significant differences were
seen between the ethanol-based and NaCl-based controls, so results for
these two preparations are pooled where averaging is appropriate.
Postinjection protocol
After microinjection of many cells in one dish under dim epiillumination, the cell PBSg was replaced by 2 ml of fresh PBSg. A layer of mineral oil on top of the PBSg prevented evaporation. In this preparation, cells have been observed to live for more than 1 day. At least 15 min after injection, one injected cell was selected based on viable appearance in phase contrast and an acceptable amount of fluorescence gauged with dim epiillumination. In the case of rhodamine-actin-injected cells, a coin was flipped to randomly determine whether the cell dish would receive a disruptive treatment or control treatment as above. TIR/FRAP experiments were carried out at least 1 h after treatment with a computer-controlled laser/charge-coupled device (CCD) setup. All experiments were performed at 25°C. During or after the TIR/FRAP experiment, a phase-contrast time lapse movie (at 2 frames/min) of at least 15 min duration was taken to assay cell viability. A cell was defined to be "alive" if one or more lamellipodia were extended during the 15-min observation period.
The results are based on experiments on seven "control" rhodamine-actin-injected cells left untreated by disruptive agents, three rhodamine-actin-injected cells treated with cytochalasin B, three rhodamine-actin-injected cells treated with azide solution, five rhodamine-actin-injected cells treated with unlabeled phalloidin, and five rhodamine-phalloidin-injected cells. Of these, most were also used for spatial analysis, although some cells were too noisy or ill behaved for spatial analysis.
Cell fixation
For rhodamine-actin-labeled fixed cells, cells were
microinjected and incubated for 1 h, then fixed according to the
method of Bloch et al. (1989)
. Rhodamine-phalloidin-labeled fixed cells were fixed according to the method of Bloch et al., then labeled with 5 µl of rhodamine phalloidin methanol stock solution in 200 µl PBSg.
Optical setup
A 3-W CW argon laser (model 2020; Spectra Physics, Mountain View, CA) was used to provide excitation at 514.5 nm. An acoustooptical modulator and a solenoid-operated shutter controlled the laser illumination duration. The laser was focused by a 9-cm focal length lens to an elliptical region 40 µm wide and 100 µm long. All experiments were conducted with a power of ~0.04 W incident upon the cell substrate surface. Our novel TIR setup, shown in Fig. 3, was specially designed to 1) allow complete access to the cells by a microinjection pipette from above and 2) provide the large incidence angle needed for TIR in cell-glass interfaces. This setup requires the use of an air or water immersion objective. ("Prismless" (through-the lens) TIR excitation with a 1.4 NA objective (Stout and Axelrod, 1989
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Data acquisition
Data were collected with a CCD camera (Photometrics Star 1, Tucson, AZ). Data acquisition was automated and was controlled with a custom-written PC program and hardware consisting of a CTR-05 counter-timer board (Computer Boards, Inc.) interfaced to the acoustooptical modulator and laser shutter, and a GPIB board (National Instruments, Austin, TX) interfaced to the camera. The probe excitation light was provided as a flash of 1/60 s duration (to eliminate effects of 60-Hz noise in the laser power), synchronously with the CCD's mechanical shutter opening. Each probe exposure bleached no more than 0.5% of the surface-bound fluorescence per probe frame, as estimated by bleaching surface-bound rhodamine-bovine serum albumin (BSA) under the same conditions. The bleach was accomplished by increasing the illumination duration by a factor of 100-200 for a single flash, without changing the intensity. This protocol allows the use of simple on/off laser shuttering rather than graded analog control of laser intensity and is easier to implement where total laser output power is limited. The average bleach amplitude ranged from 0.5 to 11 counts per pixel in different runs, which gave adequate signal to noise when 5 × 5 pixel groups were fitted. Data were collected at 10 frames/min. The spatially resolved intensities were recorded in a stack of successive CCD image frames.
TIR/FRAP theory
The surface binding/unbinding kinetic equation can be expressed as
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(1) |
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(2) |
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(3) |
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(4) |
Parameter definitions
The "prebleach intensity," f(
), is the average
of ~10 prebleach frames at each pixel location or binned group. The
bleach occurs at t = 0, the intensity just after the
bleach is f(0+), and the observed
postbleach fluorescence for t > 0 is
f(t). The fit parameters are defined as follows.
The "bleach amplitude" L is defined to be the amount of
fluorescence lost as a result of the bleach pulse:
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(5) |
is the fraction of the bleach
amplitude that recovers:
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(6) |
as the average of
f in the five last (i.e., largest t) frames to occur.
The "off-rate," koff, is the
exponential recovery rate, k, of the fit (Eq. 2). This
identification of k as koff
depends on the process being in the "reaction limit" rather than
the "diffusion limit" (see Appendix A) (Thompson et al., 1981
).
The "average off-rate,"
koff
, is the product of the
off-rate and the mobile fraction:
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(7) |
,
koff,
koff
, and f(
). The
first three are "kinetic parameters" and should be independent of
the illumination intensity, bleach intensity, bound fluorophore
distance from the coverslip, or any other nonkinetic variable. One
nonkinetic variable, the "bleach fraction" (defined as the
normalized bleach amplitude L/f(
)) displays an
interesting behavior in our data but is more difficult to interpret
(see Appendix B).
Analysis methods
The spatially resolved kinetic data were analyzed in several different formats to emphasize particular features. All fitting, analysis, and display software was custom-written in Fortran.
Kinetic parameter spatial maps
Data were binned into nonoverlapping 5 × 5 pixel groups, equivalent to 1.25 µm on a side, to increase signal to noise. Then the fluorescence average in each pixel group is fit by Eq. 2. This results in hundreds to thousands of fits per cell. Each kinetic parameter resulting from fits of data from individual pixel groups (i.e.,
, koff, and
koff
) can be displayed as a
pseudocolor or grayscale spatial map.
Spatial autocorrelations
The spatial autocorrelation function G for a "generic" parameter A was calculated (Wang and Axelrod, 1994
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(8) |
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,
A
is the average of A over the cell, and
H(s) = 1 if s
0, and
H(s) = 0 if s < 0. The
product of the mathematical step functions H ensures that
the summation includes only terms representing radial positions in the
range (r, r + 1) around any position
r'. The spatial autocorrelation function for each parameter
characterizes the spatial persistence of deviations from the
parameter's average value.
An exponential fit to the spatial autocorrelation function
quantitatively reports a characteristic persistence distance
dcorr (the "correlation
distance"), where a nonzero correlation distance indicates that
neighboring locations tend to behave similarly. In many cases here, the
spatial autocorrelation function did not appear to be exponential, but
dipped below zero before returning to or above zero. Nonetheless, all
theoretical fits of G to a simple exponential were assumed
to decay to zero, with all data values far beyond the zero intercept
distance excluded from the fitting procedure. G(0) (which
contains a large "shot noise" spike) was also excluded. An
approximate "zero intercept distance"
dzero was calculated by fitting the
points in the spatial autocorrelation function around the first
negative point with a linear function. As a control, parameter values
were randomly exchanged ("scrambled") among existing locations and
then autocorrelated. This control procedure should obliterate the true
systematic "signal" while preserving a measure of the expected
noise in the autocorrelation function.
Gradient of kinetic parameters
Each spatially resolved parameter
,
koff,
koff
, or f(
) (here
again denoted as generic parameter A) was fit to a
hypothetical flat plane:
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(9) |
reveal the
absence or presence of cell-wide trends, e.g., a tendency of one end of
the cell to exhibit faster off-rates, for example, than the opposite
end. As a control, parameter values were scrambled among existing
locations and then fit with a hypothetical flat plane as a measure of
expected noise in slope m.
Dependence of kinetic parameters on local brightness
Spatial variations in prebleach fluorescence intensity f(
) could be due to variations in the concentration of
surface binding sites, the equilibrium constants of binding at the
surface, or the distance from the cytoskeletal protein to the glass. To
reveal the presence or absence of correlations between the prebleach intensity and various kinetic parameters, pixels in a TIR/FRAP time
sequence image stack were grouped ("binned") according to the
average prebleach intensity f(
) of each pixel. The total fluorescence in each such group of pixels was then followed through the
TIR/FRAP time sequence and fit according to Eq. 2. The various kinetic
parameters were compared for different f(
) bins, and the
dependence of the various kinetic parameters upon f(
) was graphed.
Cross-correlations
Cross-correlations can be calculated quantitatively between either 1) two different types of parameters after the same bleaching event (e.g., to determine if brighter locations tend to be less mobile); or 2) parameters of the same type after two different bleaching events (e.g., to determine if the results are repeatable). In general, the cross-correlation
(A,B) between the
parameters A and B can be calculated by the
following equation:
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(10) |
brackets depends on the application.
Note that
(A, B) is 0 if A and B
are uncorrelated, 1 if they are perfectly correlated, and
1 if they
are perfectly anticorrelated.
Kinetics averaged over the whole cell
To calculate kinetic rates averaged over each entire cell, the fluorescence signal f(x, y, t) (from Eq. 3) was summed over all x and y and fit by Eq. 2, using the Levenberg-Marquardt algorithm (Press et al., 1994Estimated concentration of labeled protein in microinjected cells
For rhodamine-dextran-injected cells, the ratio of the TIR fluorescence intensity from the injected cell (at the brightest locations) versus the same rhodamine-dextran solution deposited straight onto the coverslip was ~0.10, meaning that the cytoplasmic volume was ~10 times the microinjected solution volume. Therefore, because the concentration of injected rhodamine-actin was ~25 µM, the concentration of rhodamine-actin in injected cells is estimated to be on the order of 2 µM. Because the concentration of injected rhodamine-phalloidin was 6-12 µM, its final concentration in rhodamine-phalloidin-injected cells is estimated to be on the order of 1 µM.| |
RESULTS |
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Spatially resolved kinetics
Spatial maps
For the seven rhodamine-actin-injected nondisrupted "control" cells, Fig. 5 shows computer-constructed spatial maps of
koff
alongside
the corresponding TIRF intensity images. The
kinetic parameter
koff
clearly
shows a nonrandom trend in most cells, with one end of the cell
typically showing faster average actin kinetics than the other.
Typically, the spatial variations in
koff
throughout the cell range
over an order of magnitude, from ~0.01 to 0.1 s
1. Fig. 6 shows
spatial maps of the related kinetic parameters (koff and the mobile fraction
) for
one of these cells (cell A). Although trends from one side of the cell
to the other are evident, these trends do not obviously correspond with
the filamentous structures seen in the TIRF intensity images.
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Autocorrelations
A spatial autocorrelation function of a particular parameter displays the spatial persistence of deviations from the average. Fig. 8 shows the spatial autocorrelation functions for
koff
for the seven
rhodamine-actin-injected, nondisrupted cells. The correlation distance
dcorr of
koff
is on the order of 2-5
µm (average 3.5 ± 0.6 µm (SE)). Moreover,
koff
shows not just a positive
correlation over short distances, but also a negative correlation over
larger distances, crossing to a negative correlation at distances
dzero ranging from 7 to 14 µm
(average 11 ± 1 µm (SE)), which is a significant fraction of
the cell size.
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spatial maps for one of
the cells.
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Gradients of kinetic parameters
Spatially dependent data for each particular parameter was fit to the hypothetical plane of Eq. 9. The slope m of the fit plane is the cell-wide gradient of the parameter, i.e., a measure of the polarization of the cell with respect to that parameter. For each of the parameters and for each type of cell treatment that displayed a kinetic recovery, Table 2 summarizes the resulting gradients (both absolute and normalized). Note that the normalized gradient is greater for kinetic parameters than for the prebleach intensity. The orientation angles
of the gradient axis
for the different parameters do not show significant correlation with each other, except for koff and
koff
, which are generally within 20° of each other. The gradients are statistically significant as
judged by two criteria: 1) the fitting errors in the gradients are
small compared to the gradient values, and 2) the error bars of the
gradient fits to actual kinetic parameter data do not overlap with the
error bars of the gradient fits to spatially scrambled data. Fig. 6
shows the direction of the gradient on one particular cell for
prebleach intensity, off-rate koff,
and mobile fraction
.
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Cross-correlations
Significant nonzero cross-correlations occur in rhodamine-actin-labeled cells among pairs of kinetic parameters. Using Eq. 10 with index i referring to 5 × 5 binned spatial locations and
referring to a spatial average over the cell, we
obtain
= 0.47 ± 0.18 for the pair
koff and
koff
, and
= 0.53 ± 0.18 for the pair
koff
and
. There is also a slight anticorrelation of
=
0.16 ± 0.04 for the pair koff and
.
There is no consistent correlation or anticorrelation between prebleach
intensity f(
) and any of the kinetic parameters.
In all of these tests, n = 7 and the errors are SE.
In an alternative test of the dependence of kinetic parameters on
intensity, data can be grouped by initial intensity; we used five
intensity groups for each cell. In each separate group, TIR/FRAP
recovery data were averaged and fit. Although some individual cells
showed modest but clear trends, there is no consistent sign to the
trends for all cells.
Repeatability of spatial patterns
To determine if the spatially resolved variations of kinetic parameters could be measured reproducibly, TIR/FRAP was repeated on the same cell, with the bleaches separated by ~6 min. This was done in four rhodamine-actin-injected control cells. The spatially resolved kinetic parameters were cross-correlated using Eq. 10, where Ai represents a parameter from the first TIR/FRAP experiment at the 5 × 5 pixel bin centered at (xi, yi), and Bi represents the same parameter at the same bin (xi, yi) for the second TIR/FRAP experiment on the same cell, and
refers to a spatial average. The
resulting cross-correlations
(± SE) averaged over the four cells
are 0.40 ± 0.03, 0.18 ± 0.13, and 0.95 ± 0.05 for
koff,
, and f(
),
respectively. The agreement in
(the orientation of the gradient)
between the two experiments was high for
koff: the average magnitude difference
was only 8 ± 7°. The average magnitude difference in
for
the
and f(
) were larger (69 ± 40° and 45 ± 33°, respectively) as expected, because the mobile fraction did
not exhibit high correlation between bleaches and the intensity did not
exhibit a high normalized gradient (see Table 2).
Kinetics averaged over the whole cell
Kinetic rates with and without biochemical disruption
Table 3 shows the mobile fraction
, off-rate koff, and average
off-rate
koff
for 1)
rhodamine-actin-injected cells in the absence and presence of unlabeled
phalloidin, cytochalasin B, and sodium azide and 2)
rhodamine-phalloidin-injected cells. Rhodamine-actin-injected cells in
the absence of further treatment with cytochalasin B or azide generally
displayed a significant (one-half to two-thirds) mobile fraction.
However, cytochalasin B and sodium azide-treated
rhodamine-actin-injected cells displayed a significantly smaller mobile
fraction (although with a large cell-to-cell variability in the case of
cytochalasin B). Surprisingly, phalloidin had little effect on the
fluorescence-marked actin kinetics, regardless of whether labeled or
unlabeled phalloidin was used.
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Calculation of C/A
C/A is the ratio of concentrations of surface bound to free cytoplasmic protein, with units of length. It is essentially the depth in the bulk that contains the same number of labeled molecules as are bound at the surface. C/A is a useful quantity because 1) given a characteristic evanescent field depth
(80 nm in our case), C/A
is the fraction of the fluorescence
signal that arises from the surface-bound protein; 2) C/A
can be used to calculate whether the experiment is in the reaction or
diffusion limit (Thompson et al., 1981
30 nm, and for rhodamine-phalloidin-injected
cells C/A
16 nm. The lower-bound values are valid under
the assumptions that the bound protein is at z = 0 and has the
same bleachability as rhodamine-bovine serum albumin absorbed to glass
in water. At these C/A values, exchange of molecules on the
surface with those in the bulk would not be limited by bulk diffusion
toward the surface in the time ranges of interest here (see Appendix A). Therefore, the TIR/FRAP recoveries observed here are very likely in
the "reaction limit," in which the recovery rate is truly a measure
of koff. Last, given the measured
off-rate koff (see Table 3), the
on-rate kon*, defined as
konB, is calculated from the
quantity koffC/A to be
kon*
10
8 cm/s.
Cell-to-cell variations
The error bars of the individual kinetic parameter fits do not overlap for different cells. For example, the average fit error in koff is ±12%, whereas the variations from cell to cell are ± 61% (SD). Each cell generally retained its whole-cell-averaged parameters over two successive TIR/FRAP bleach-recovery cycles. For example, those cells with a generally high koff measured after the first bleach also displayed a relatively high koff measured after the second bleach, where the two bleaches were separated by ~6 min in four control treated rhodamine-actin-injected cells. The cell-averaged kinetic parameters were cross-correlated using Eq. 10, where Ai represents a parameter from the first TIR/FRAP experiment on cell i (averaged over the whole cell); Bi represents the same averaged parameter for the second TIR/FRAP experiment on the same cell i; and the summation and
averages are taken over all
of the cells. The cross-correlations are
= 0.50 for koff and
= 0.83 for
. This
implies that at least part of the cell-to-cell variation in the fit
parameters reflects some cellular individuality rather than a random
instrumental artifact.
Ruling out possible artifacts in the recoveries
Diffusion of fluorophore in the bulk cytosol
The evanescent field, with its 80-nm 1/e depth, can excite some cytosolic fluorescence-marked molecules that are near the surface but are not surface bound. These molecules might become bleached during the prolonged bleach illumination pulse, and the fluorescence signal might subsequently recover by diffusion in the bulk. To help rule out the possibility that such a bulk diffusion process contributed to the TIR/FRAP recovery in our experiments, TIR/FRAP was done on cells injected with rhodamine-dextran (MW 70,000) (Molecular Probes), an inert water-soluble polysaccharide larger than an actin monomer. No decrease in fluorescence was observed because of the bleach pulse in rhodamine-dextran-injected cells. This means that the recovery time of the rhodamine-dextran due to diffusion in the cytosol is shorter than our present setup can observe (~1 s), and shorter than the times observed for rhodamine-actin-injected cells. As an additional control intended to show that the bleach pulse was adequate in total energy, bleach of the same intensity was applied to immobile rhodamine-BSA adsorbed irreversibly to a coverslip. A deep bleach was observed, but (as expected) without any recovery.Reversibility in bleaching or fluorophore attachment
To determine whether our observed fluorescence recoveries might be due to reversible photobleaching or (in the case of rhodamine-phalloidin) reversible attachment of the fluorescent toxin to actin, TIR/FRAP was done on paraformaldehyde-fixed rhodamine-actin- or rhodamine-phalloidin-labeled cells. A significant bleach depth without recovery was observed in both cases. TIR/FRAP was also done on a motionless rhodamine-actin-injected cell (i.e., "dead" as judged by inactivity in time lapse phase contrast). Again, a significant bleach depth without recovery was observed. These results rule out the possibilities that the TIR/FRAP recoveries on unfixed, viable cells are due to reversible photobleaching or reversible attachment of the fluorescent marker.Faster rates
To rule out the possibility that our setup with its relatively slow CCD camera might obscure a somewhat faster recovery rate, a nonimaging TIR/FRAP setup with a single-channel avalanche photodiode detector (SPCM-100; EG&G Optoelectronics) was utilized at sample bin durations of 40 or 80 ms, a factor of 100 shorter than durations attainable in our CCD-based setup; this setup was able to observe rates up to ~10 s
1. On two different
rhodamine-actin-injected cells, the recovery curves fit well to a
single exponential with koff of
0.050 ± 0.008 s
1 and 0.023 ± 0.006 s
1; these rates are consistent with the
koff rates measured by our CCD setup.
Therefore, the actin-marked cells contain no actin kinetic rates up to
~10 s
1 that cannot not be recorded in imaging
mode by the present CCD camera TIR/FRAP setup.
Photochemical damage
To check for the possibility that light-induced damage might affect the results, a TIR/FRAP experiment was done with one-quarter the usual illumination for both probe and bleach on a rhodamine-actin-injected cell. The measured off-rate of 0.036 ± 0.022 and mobile fraction of 0.7 ± 0.2 agree well with the results obtained with full illumination.| |
DISCUSSION |
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Overview
This report describes the first application of TIR/FRAP in imaging mode to living cells, used here to measure actin kinetic unbinding rates ("off-rates") at the submembrane. Regardless of whether the actin in living BC3H1 cells is marked by injected rhodamine-labeled actin monomers or by injected rhodamine-phalloidin, the TIR/FRAP measurements show similar off-rates and fractions of marked actin that are reversibly bound ("mobile fraction"). The kinetic parameters derived from the TIR/FRAP results show considerable variations, both between different cells and spatially within a single cell. However, as could be seen from multiple TIR/FRAP experiments on the same cell, some spatial and cell-to-cell variations are repeatable and consistent features of the cells.
Although different parts of a typical cell show different kinetic rates, the kinetic rates are generally similar over distances on the order of 3 µm. This is quantitatively clear from the spatial autocorrelation functions for initial intensity, mobile fraction, off-rate, and average off-rate, which display a positive correlation over short distances, with a characteristic distance of 1-3 µm, and a negative correlation over larger distances greater than ~7-14 µm. Furthermore, cells exhibited significant cell-wide gradients of kinetic parameter polarity, with an apparent "fast" and "slow" end in the off-rate, mobile fraction, and average off-rate (and also bleach fraction). However, the prebleach fluorescence intensity exhibited somewhat smaller relative cell-wide gradients.
Some cells exhibited a dependence of the off-rate on initial intensity. However, the direction of the dependence was inconsistent from cell to cell. If we simplistically assume that the on-rate and local density of actin-binding sites are spatially invariant, then we might expect that areas with a faster off-rate would coincide with areas of lower prebleach intensity. However, the opposite was true in several cells: brighter locations coincided with faster off-rates. Therefore, the simplistic assumption cannot be true, and therefore the density of actin-binding sites and/or the on-rate must vary spatially in the cell.
In principle, recovery after TIR photobleaching could arise from
nonkinetic processes, such as reversible photobleaching, recovery by
diffusion, and recovery arising from membrane motion. The first two
possibilities were refuted by control experiments. The third appears
unlikely because the fluorescence at each pixel after bleach recovery
is complete was found to be highly correlated (
= 0.94) with
the prebleach fluorescence at that pixel. If recovery were due to
membrane motion, we would expect little correlation between initial and
final intensities at particular pixels.
R-Actin kinetics
Theriot and Mitchison (1991
, 1992
) measured the dissipation times
of fluorescence-photoactivated actin from actin filaments in
lamellipodia as observed by epiillumination. In two different fibroblast cell lines, actin dissipation times were found to be 55 ± 28 s and 181 ± 99 s. In highly motile goldfish
epithelial keratocytes, the actin dissipation time was observed to be
23 s. These dissipation times were reasonably interpreted as the average time in which a marked actin remains incorporated in an actin
polymer filament, i.e., the characteristic time for depolymerization. Our TIR/FRAP measurements yielded an average residency time of 31 ± 7 s for actin to remain at or near the cytoplasmic membrane in
BC3H1 smooth muscle cells. The characteristic times provided by these
two very different techniques might be viewed as "consistent" with
each other (although it is surprising that the turnover rates in the
keratocytes are not significantly faster than in our less mobile BC3H1
cells). However, the cell types were different (keratocytes, for
example, do not have stress fibers), and the optics were different: dissipation of photoactivated fluorescence preferentially probes actin
depolymerization in lamellipodia at the cell periphery, whereas
TIR/FRAP can probe cell-substrate contact regions underlying even
rather thick central parts of a cell.
The time scales of actin kinetics as seen by TIR/FRAP can be compared to time scales of cellular motion. If, for example, actin kinetic time scales are much longer than time scales of cellular motion, then actin binding and unbinding at the cytoplasmic submembrane are probably not involved in cell motility. On the other hand, if the time scales of actin kinetics are short compared to cell motility, then there is ample time for the actin cytoskeleton to reshuffle during the morphological alterations of motility. Of course, the time scale for cellular motion can be a somewhat ambiguous concept because it would depend on an arbitrary assignment of a characteristic distance. We estimated the time scales of cellular motion by an autocorrelation technique that reports the average time that the local cell boundary remains within ~0.4 µm of its original position, about one pixel here (see Appendix C). Although arbitrary, this characteristic distance is clearly much smaller than any dimension of the cell. In several experiments with four cells, time scales for cell morphological alterations ranged from 50 to 200 s for local motions of <0.4 µm. These time scales are somewhat longer than the actin off-rate, measured as 31 s, thereby allowing for the possibility that the actin cytoskeleton does reorganize with binding/unbinding events during cell motion.
Treatment of rhodamine-actin-injected cells with sodium azide results
in a reduction in mobile fraction by a factor of 10. Furthermore,
TIR/FRAP on a "dead" cell with no motile activity (shown by a
phase-contrast movie) shows zero average kinetic rates. These results
confirm that the reversible chemistry of actin at the cell submembrane
as detected by TIR/FRAP is an active, energy-dependent process.
Patterson and Spudich (1995)
have suggested (for a very different cell
type, Dictyostelium) that azide may disrupt some actin
involved in cellular spreading and flattening. In general, stress on
the cell (including the response to microinjection itself) may affect
the actin network. Treatment with cytochalasin B also results in a
10-fold reduction in the average mobile fraction of injected
rhodamine-actin. Cytochalasin B (at much lower concentrations than used
here) is known to block polymerization of actin into a filament (at the
barbed end) and to decrease interfilament interactions (MacLean-Fletcher and Pollard, 1980
). If cytochalasin B decreases the
polymerization "on-rate" of monomeric actin onto filaments but the
filaments do not change their length by a significant factor
(MacLean-Fletcher and Pollard, 1980
), then perhaps the off-rate is also
reduced. TIR/FRAP directly measures "off-rates"
either marked
actin departing from filaments or marked filaments leaving the
submembrane under illumination. At our concentrations, it is likely
that actin filaments are more extensively disrupted. The cytochalasin B
effect seen here may suggest that cytochalasin B at high concentration
inhibits the motion of whole filaments.
R-phalloidin kinetics
Phalloidin is a toxin that binds very strongly to polymerized
actin, and one might predict that it would inhibit actin
binding/unbinding kinetics. According to the results presented here,
such is not the case; phalloidin (in either unlabeled or labeled form)
does not alter the kinetic off-rate or mobile fraction, relative to rhodamine-actin. Although phalloidin slows locomotion and growth in
tissue culture cells in a dose-dependent manner (Wehland et al, 1977
;
Wehland and Weber, 1981
), cells injected with phalloidin still divide
and move (Wang, 1987
), and phalloidin-labeled f-actin does translocate
in a living cell (Wehland et al., 1980
). A related actin marker,
phallacidin, does not inhibit cytoplasmic streaming in algae (Barak et
al., 1980
). In our experiments, the injected phalloidin concentration
is estimated to be approximately the same as that used by Wang (1987)
.
The similarity of the TIR/FRAP results for fluorescent actin and
fluorescent phalloidin suggests that phalloidin can be a good actin
marker not just for structure but also for dynamics at the submembrane
of living cells.
Such "submembrane dynamics" (as measured by the postbleach
fluorescence recovery of R-phalloidin) could arise, in principle, from
several phenomena falling into two distinct classes: 1) "actin dynamics" involving either exchange of whole fluorescence-marked actin filaments in the evanescent field or depolymerization of R-phalloidin-bound monomers from actin polymers or 2) "phalloidin dynamics" involving reversible dissociation of R-phalloidin from its
actin filament (or other) binding sites. To determine whether our
measured results arise from actin dynamics rather than phalloidin dynamics, we can compare our recovery rates to previous measurements of
phalloidin association and disassociation rates from filamentous rabbit
skeletal muscle actin, reported as 2.9 × 104/M/s and 2.6 × 10
4/s, respectively (de la Cruz and Pollard,
1996
). Based on these figures, phalloidin dynamics would have a
characteristic recovery time of ~3000 s, or ~100 times longer than
our observed times. We can conclude that phalloidin does not bind to
different actin molecules during the course of our experiment, and it
is unlikely that the kinetics we observe are phalloidin-actin
dissociation dynamics. The kinetic process we observe experimentally
with TIR/FRAP on R-phalloidin-injected cells probably results from the
motion of entire filaments or protofilaments.
Because phalloidin binds predominately to polymerized actin, the similarity in the time scales of TIR/FRAP results for R-phalloidin and R-actin cells supports this inference that the kinetics (and intensities) provided by the TIR images arise mainly from the motion of entire filaments or protofilaments. This is not to say that monomeric actin does not engage in significant reversible binding activities with nonactin sites at the submembrane, but only that the effects are dominated by polymerized actin, at least in the cells used here.
Using standard spot FRAP on filaments in the cytoplasm of
phalloidin-injected Swiss 3T3 cells, Wang (1987)
measured the actin recovery time to be 500 ± 65 s. Based on FRAP diffusion
measurements with an epifluorescent focused laser spot, Wang (1987)
attributed this process to attachment/detachment of small actin
filaments to larger bundles of filamentous actin. Because our measured
characteristic time (the reciprocal of the
koff) of actin dynamics at or near the
cytoplasmic membrane in phalloidin-injected cells was only 30 ± 12 s, the dynamic rates of phalloidin-labeled actin located deep
within the cytosol in Swiss 3T3 cells appear to be an order of
magnitude slower than the corresponding rates near the membrane of our
BC3H1 cells.
Imaging TIR/FRAP as a technique
In addition to producing spatially resolved data, an imaging mode for TIR/FRAP has several advantages over a nonimaging mode. Imaging mode TIR/FRAP automatically documents the absence of common problems, such as beam drift, focus drift, or changing interference fringes in the illuminating beam, thereby affording higher confidence in the data. The imaging mode also permits both better background subtraction and possible correction of temporal illumination fluctuations by calibration with the background emission intensity in off-cell regions. The imaging mode is also useful for assaying the cellular state during or after experimentation.
There are also some disadvantages to using the imaging mode. The CCD
has significant readout noise per pixel for each image, somewhat higher
than the noise of a single-channel photodetector (usually a
photomultiplier or avalanche photodiode) typically used in nonimaging
mode. The second disadvantage of imaging is slower speed; nonimaging
mode TIR/FRAP has been used previously at sampling rates as high as
30,000 data bins/s (McKiernan et al., 1997
). Both of these problems can
be partly ameliorated with newer commercial cooled CCD cameras, which
are both quieter and faster than the one used here.
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SUMMARY |
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This paper demonstrates that spatially resolved kinetics can be measured using TIR/FRAP with imaging at the submembrane of living cells. Use of a CCD detector yields orders of magnitude more data than conventional single-channel detectors, from which can be extracted spatial maps and information about cell-wide gradients, dependence of kinetics on initial intensity, and correlations of kinetic parameters with fluorescence structures. This project demonstrates that significant and repeatable variations occur in the kinetic parameters over the surface of the cell and from cell to cell.
Possibile future applications of TIR/FRAP on living cells include the correlation of cell-wide kinetic parameter gradients to external stimulation or cell motion (such as in fast-moving keratocytes); measurements of kinetics of some of the many other submembrane proteins; and comparison of cell-to-cell kinetic variations with the stage of cell division. In particular, TIR/FRAP studies on other proteins crucial to the motile and mechanical properties of the cell surface (such as annexin), but with a less complex (and thereby more interpretable) chemistry or a smaller range of binding sites, appear worthwhile. In addition, the microinjection step may be circumvented in the future by use of cells transfected with genes for specific cytoskeletal protein-green fluorescent protein hybrids.
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APPENDIX A: C/A RATIO |
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