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NEUROSCIENCE
Imaging membrane potential in dendritic spines



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*Howard Hughes Medical Institute, Department of Biological Sciences, and
Department of Chemistry, Columbia University, New York, NY 10027
Contributed by Kenneth B. Eisenthal, November 21, 2005
| Abstract |
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Dendritic spines mediate most excitatory inputs in the brain. Although it is clear that spines compartmentalize calcium, it is still unknown what role, if any, they play in integrating synaptic inputs. To investigate the electrical function of spines directly, we used second harmonic generation (SHG) imaging of membrane potential in pyramidal neurons from hippocampal cultures and neocortical brain slices. With FM 4-64 as an intracellular SHG chromophore, we imaged membrane potential in the soma, dendritic branches, and spines. The SHG response to voltage was linear and seemed based on an electro-optic mechanism. The SHG sensitivity of the chromophore in spines was similar to that of the parent dendritic shaft and the soma. Backpropagation of somatic action potentials generated SHG signals at spines with similar amplitude and kinetics to somatic ones. Our optical measurements of membrane potential from spines demonstrate directly that backpropagating action potentials invade the spines.
second-harmonic imaging | backpropagation | action potential | pyramidal | cortex
Recent data have reopened this debate and suggest that spines could have a significant effect on altering synaptic transmission. First, active conductances, including calcium (2), potassium (11), and probably even sodium (12) channels, seem to be located in spines, rendering passive models inadequate to explore the effect of the spine on EPSPs. Second, spines with different morphologies have differences in calcium compartmentalization (13) and in amplitude and kinetics in response to glutamate uncaging (14), raising the suspicion that the spine neck has a major functional role.
Direct measurement of electrical function of spine has eluded scientists due to lack of suitable experimental approaches. Although fluorescent voltage-sensitive dyes have been used to image dendrites (15), their lack of sensitivity, partly resulting from the lack of specificity when staining plasma vs. intracellular membranes, and poor spatial resolution make it very difficult to perform quantitative voltage measurements at spines with them. As an alternative technique, we have imaged membrane potential in spines using second harmonic generation (SHG). SHG is a nonlinear optical phenomenon that occurs specifically at interfaces with oriented arrays of chromophores (16). The exquisite sensitivity of SHG to membrane interfaces and linear dependence on electric field make it ideally suited to image membrane potential (17) or, more generally, membrane-specific cellular functions. During the last decade, the groups of Loew and Lewis (18) have designed a variety of chromophores and carried out SHG measurements of membrane potential in cultured cells. Further work from them and other groups has extended SHG measurements of voltage to invertebrate and vertebrate neurons (1921). Our study demonstrates a further application of SHG, providing experimental measurements of voltage at spines.
| Results and Discussion |
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To establish the voltage sensitivity of the SHG signal, we first used FM 4-64 with extracellular bulk loading of dissociated hippocampal neuronal cultures and tested the SHG response to different voltage protocols, generated with whole-cell recording (Fig. 1). Specifically, we examined the voltage sensitivity of SHG by measuring SHG signals from the somata of whole-cell recorded neurons during different voltage-clamp protocols synchronized with frame acquisition imaging at slow (
1 s per frame, the "framescan") temporal resolution (see Materials and Methods). We found that SHG was remarkably linear with voltage, with a relative change of 14.0 ± 0.3% per 100 mV depolarizing step (Fig. 1E). The relative change in SHG is defined as:
![]() | [1] |
where
is the membrane potential. As opposed to SHG, the two-photon fluorescence of the same pixels did not show any modulation with voltage (data not shown). Also, neurons that were not patched did not show any corresponding modulation in SHG intensity (data not shown).
We then switched to perform SHG measurements from neurons in brain slices. To increase the dye concentration in the membrane and be able to image dendritic spines, we loaded FM 4-64 dye intracellularly by a patch pipette in pyramidal neurons from mouse hippocampal and neocortical slices. After 30 min, the dye diffused far beyond the soma (Fig. 2A), and apical and basal dendrites, including dendritic spines, were clearly resolved (Fig. 2 A Inset). As with cultured cells, we examined the voltage sensitivity of SHG in intracellularly loaded cells by measuring SHG signals from the somata of patched neurons during voltageclamp protocols with a slow frame acquisition (
1 s per frame). In 16 experiments on 12 cells, we found that the SHG response for the cell soma was on average 11.9 ± 0.8% per 100 mV (at 900 nm excitation). An estimate of the noise was obtained from three series of experiments (four frames each) taken at a constant voltage. The coefficient of variation (SD divided by the mean) was 2.8 ± 0.8%. By using
3% frame to frame variability in the SHG intensity, we estimate the signal-to-noise (S/N) to be
4 for a voltage step of 100 mV. Again, simultaneously measured two-photon fluorescence signals (Fig. 2B) did not show any modulation by voltage (Fig. 2C).
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40 trials per point) were necessary to obtain sufficient S/N levels. We were concerned that, at these faster temporal resolutions, it is possible that the SHG voltage dependency could be substantially different compared with a slower framescan method. We therefore also calibrated the SHG of the pointscans with both depolarizing and hyperpolarizing somatic current injections (Fig. 2D). As with the slower measurements, pointscan data indicated that SHG is linear with voltage (9.96%/100 mV, R = 0.97) and changed signs at the zero voltage crossing. Both results are telltale signs of an electro-optic effect (25). Moreover, the slope of the voltage sensitivity with pointscans was similar to that obtained with framescans, indicating that the electro-optic mechanism was likely the same. The coefficient of variability of this measurement as defined above was 2.4 ± 0.7% (n = 4), with a S/N value of
4 for a voltage change of 100 mV. In addition, for intracellularly applied dye, SHG signals increased upon depolarization and decreased by hyperpolarizing the neuron, i.e., showing opposite polarity to the response of extracellularly loaded neurons (compare Fig. 1E and 2 C and D). This reversed polarity is expected because, in the case of extracellular loading, the dye molecules should decorate the outer leaflet of the membrane's lipid bilayer (see Mathematical Methods). Although the electric field set by the resting membrane potential was always in the same direction (pointing toward the cytoplasm), the direction of the charge transfer in the dye molecule (and therefore the induced dipole moment) is reversed from the situation when the dye is at the inner leaflet. Thus, SHG response to a depolarizing step should have the opposite sign, but similar sensitivity. This result also indicates that the response is predominately electro-optic in nature rather than a reorientation effect (25).
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40 stimulus presentations per point) showed good correspondence of SHG and recorded membrane potential change at soma (Fig. 3 D1 and D2) in current-clamp configuration with S/N
4.
We then turned our attention to image AP responses of spines. For these experiments, we focused exclusively on spines located on basal dendrites of layer 5 pyramidal neurons from mouse primary visual cortex, a population of spines electrotonically very close to the soma, which we have previously investigated anatomically and functionally (26, 27). When APs were generated at the soma, we imaged a corresponding increase in SHG at the head of the spine (Fig. 3D3). These increases were instantaneous with the somatic voltage deflections and had similar risetime and decay times as the voltage signal (Fig. 3D1). In fact, SHG signals at spine heads generated by APs were indistinguishable in amplitude and kinetics from SHG signals measured at the soma under identical protocols (spine, 10.8 ± 1.4%; soma, 11.1 ± 0.9%; n = 15 for spines and n = 17 for somata; S/N
3.5). These measurements required extensive averaging and showed large variability from spine to spine (Fig. 4). Because of the low S/N, we cannot ascertain whether this variability represents true biological variability.
We conclude that single backpropagating APs invade the head of the dendritic spine without any substantial decrement in voltage or major electrical filtering. This result is in principle consistent with passive cable models, which have highlighted the electrical impedance mismatch between the dendrite and the spine, which should enable the efficient propagation of electrical pulses into the spines from the dendrites (5, 7). At the same time, it is possible that the electrical structure of the spine could be very different from that assumed by passive cable models so it seems pertinent to be cautious in the further interpretation of our measurements.
In summary, our results demonstrate that optical measurements of membrane potential in spines are possible and that the mechanism of voltage sensitivity of FM 4-64 SHG is electro-optic in nature and similar regardless of whether the chromophore is adsorbed to the somatic or spine plasma membrane. We also show that back-propagating APs invade most spines without significant voltage attenuation. Although passive electrotonic invasion of the spine by APs could occur, it is also possible that spines have Na+ channels and themselves produce regenerative spikes. Further experiments are needed to address the exact mechanisms of this AP invasion, as well as the behavior of spines under synaptic stimulation conditions. Finally, because spines are very heterogeneous in their structure and in some of their functions (1, 28, 29), it is possible that a different population of spines, or spines from a different cell type, could behave very differently.
| Materials and Methods |
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) that contained 135 mM KMeSO4, 5 mM NaCl, 10 mM KCl, 2.5 mM Mg-ATP, 0.3 mM Na-GTP, and 10 mM Hepes at pH 7.3. For Cs-based internal solution, the solution was changed to 110 mM cesium-gluconate, 20 mM CsCl, 2 mM EGTA, 10 mM Hepes, 0.3 mM Na-GTP, 1 mM Mg-ATP, and 5 mM QX-314, pH 7.3. In brain slices, when loading the cells intracellularly, we added 0.21 mM FM 4-64 dye (Biotium, Hayward, CA) to the internal solution. In culture, cells were loaded extracellularly with 50 µM FM 4-64.
Imaging. SHG imaging was performed by using a custom-made two-photon laser scanning microscope (30) with an Nd:glass laser at 1,064 nm (IC-100; HighQ Laser, Hohenems, Austria) or a Ti-Sapphire laser (Chameleon; Coherent, Santa Clara, CA) tuned to 900 nm. The illumination power of two lasers was independently modulated by Pockels cells [Conoptics (Danbury, CT) 350-50, and Quantum Technology (Lake Mary, FL) 327] with typical power of 110 mW on the sample. SHG signals were collected with a photomultiplier tube (H7422P-40; Hamamatsu, Hamamatsu City, Japan) after narrow band-pass filters (530/20 for 1,064 nm and 450/20 for 900 nm) and analyzed directly (for pointscan) or with FluoView (Olympus, Melville, NY) (for framescan). For framescan imaging, the laser raster scanned the sample with pixel dwell time of 6.4 or 16 µs. Pointscan experiments were performed by illuminating a laser at a target position for
40 times at 2 Hz each 30 ms, with simultaneous current injection in every other cycle, with no apparent photo-bleaching. Data were analyzed by custom written software by using MATLAB (Mathworks, Natick, MA). Averaged SHG signals from control and stimulation conditions were calculated with 2 ms of window-smoothing filtration and used to calculate the percentage of changes in SHG signals. All data are reported as mean ± SEM.
Mathematical Methods. Following is a brief description that accounts for both the linear dependence of the SHG I2
, on the potential
across the membrane, and the opposite polarity of I2
vs.
when the chromophore is at the extracellular vs. intracellular side of the membrane. The light at frequency
incident on the membrane induces a nonlinear polarization, which generates the second-harmonic (SH) field E2
at 2
. It can be written as
![]() | [2] |
where
(2) and
(3) are the second and third order susceptibilities and E
is the amplitude of the incident electric field.
is the plasma membrane thickness, which is a constant and is omitted in the following derivations for simplicity. The observed SH I2
is then given by
![]() | [3] |
The second order term
(2) is much larger than the higher order
(3)
. Consequently, the |
(3)
|2 is much less than
(2)
(3)
and can be neglected. In this way, we obtain
![]() | [4] |
The linear dependency of I2
on the potential
is directly seen. If we now consider the polarity dependence on the location of the chromophore, we note that it has the opposite orientation when located inside vs. outside because of symmetry. It therefore follows that
(2) has the opposite sign at the two locations. For the dye loaded inside, as
increases, the relative SHG increases (Fig. 2D), whereas the relative SHG becomes negative for negative
. For the dye on the opposite side,
(2) is opposite in sign. For positive
, the relative SHG is negative; for negative
, it is positive (Fig. 1E). This result is precisely what we observed.
| Acknowledgements |
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| Footnotes |
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Abbreviations: EPSP, excitatory postsynaptic potential; SHG, second harmonic generation; AP, action potential; S/N, signal-to-noise; TPF, two-photon excitation fluorescence.
M.N., J.J., and B.N. contributed equally to this work. ![]()
¶ Rall, W. & Rinzel, J. (1971) Soc. Neurosci. Abstr. 1, 64. ![]()
To whom correspondence may be addressed. E-mail: eisenth{at}chem.columbia.edu or rmy5{at}columbia.edu.
© 2006 by The National Academy of Sciences of the USA
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