Abstract
The detection of action potentials and the characterization of their waveform represent basic benchmarks for evaluating optical sensors of voltage. The effectiveness of a voltage sensor in reporting action potentials will determine its usefulness in voltage imaging experiments designed for the study of neural circuitry. The hybrid voltage sensor (hVOS) technique is based on a sensing mechanism with a rapid response to voltage changes. hVOS imaging is thus well suited for optical studies of action potentials. This technique detects action potentials in intact brain slices with an excellent signal-to-noise ratio. These optical action potentials recapitulate voltage recordings with high temporal fidelity. In different genetically-defined types of neurons targeted by cre-lox technology, hVOS recordings of action potentials recapitulate the expected differences in duration. Furthermore, by targeting an hVOS probe to axons, imaging experiments can follow action potential propagation and document dynamic changes in waveform resulting from use-dependent plasticity.
Introduction
Action potentials serve as an elementary all-or-none electrical signal used by the nervous system to perform a form of digitization of information. Action potentials come in elaborate trains in which the frequency of firing and precise temporal sequence is thought to serve important roles in neural network function [1,2]. Decoding these complex processes with voltage imaging techniques thus places a premium on the detection of action potentials. Furthermore, action potentials are not simple binary events, and their dynamic properties can vary widely. Action potential shapes differ between neuronal cell types and are often taken as a defining characteristic. For example, some inhibitory interneurons have narrow action potentials and are commonly referred to as ‘fast-spiking’ [3]. Action potential shapes can also vary at different stages of development [4]. Spikes generally rise more rapidly than they fall, and this asymmetry can vary between types of neurons [5]. Action potential shapes have an important impact on function. The amount of transmitter released from a synaptic terminal increases steeply with action potential duration [6–8]. Dynamic changes in action potential durations serve as a form of short term plasticity [9], and in nerve terminals are responsible for use dependent increases in secretion [10–12]. Furthermore, action potential shape may differ between cellular compartments [12–15]. Action potentials can be observed in dendrites, somata, or axonal initial segments, and voltage imaging can identify the sub-millisecond timing differences between these compartments [14].
Voltage imaging provides a powerful approach to the study of these dynamic aspects of electrical signaling, and has the potential to investigate cellular compartments that are difficult or impossible to access with electrical recording techniques. However, because action potentials are brief events in which the voltage changes rapidly, their detection requires a voltage sensor with rapid response kinetics. Furthermore, going to the next level of characterizing spike shape makes even greater demands on a voltage sensor. Most synthetic voltage probes, organic molecules that act as voltage sensitive dyes, have rapid response times of 1.2 μs or less [16]. Optical recordings with such probes track action potentials with essentially perfect temporal fidelity [17,18]. Thus, synthetic dyes offer the greatest power for such studies, and have been used to make major contributions to dynamic electrical signaling in neurons [14,19–22].
Unfortunately, synthetic dyes are difficult to target to specific types of cells. Recent advances in harnessing genetic strategies to guide the expression of voltage sensors to neurons suggest that this approach has great potential for probing voltage dynamics in genetically-defined neurons [23–26]. Genetically-encoded voltage sensors can draw upon an extraordinary array of genetic targeting strategies [27]. However, genetically-encoded voltage sensors often depend on conformational transitions of a protein, and these processes generally occur over millisecond timescales. It has proven difficult to create genetically-encoded voltage sensors with response times fast enough for the facile study of action potentials [28,29]. The fast state transitions of opsins allows some opsin-based and hybrid FRET-opsin genetically-encoded voltage indicators to respond with sub-millisecond kinetics [30,31]. Opsin-based arch probes have been used to resolve presynaptic action potential waveforms in cultured hippocampal neurons [15,32], and study action potential repolarization at the Drosophila neuromuscular junction [33]. However, voltage indicators of this genre suffer from poor brightness and have yet to see use in the study of action potential waveforms in intact brain tissue.
This article discusses the requirements of probe response in detail and examines how a voltage sensor’s time response influences the fidelity of action potential recordings. Hybrid voltage sensor (hVOS) imaging [34], offers a means of targeting a voltage sensor genetically [24], and hVOS probes are rapid enough to capture pertinent dynamic properties. These advantages are discussed and illustrated with examples. hVOS imaging tracks individual action potentials very well, follows their propagation, detects differences in spike characteristics between cell types, and reveals use-dependent changes in action potential properties.
Probe Kinetics and Action Potential Dynamics.
Action potentials are often characterized in terms of their width at half maximum (WHM), the interval from when the voltage is half-maximal on the way up to the time when the voltage is half-maximal on the way down. The WHM of action potentials varies widely in mammalian central neurons, with values ranging from 0.18 to 4 msec [3]. Clearly voltage sensors must have msec response times to serve as effective spike detectors, and sub-msec response times to analyze their shapes.
Voltage sensors are characterized dynamically in terms of their exponential relaxation in response to a voltage step. To gain insight into how probe response time influences the observed properties of action potentials we start with an exponential relaxation function that describes the response kinetics of a generic probe.
(1) |
For a stepwise change in voltage from V0 to Vf, the fluorescence, F, will relax exponentially from its initial value, F0, at t=0, to its final value, Ff, at very large t. τ is the time constant, which depends on the dynamics of the particular probe. For a fixed voltage, fluorescence is proportional to voltage, Ff = αVf. When V varies with time then the dynamics of F can be understood by replacing Ff with αV, taking the time derivative of Eq. 1, and rearranging:
(2) |
The solution is
(3) |
where the initial value of F was arbitrarily set to 0. Since α is the proportionality constant it can be set to one in order to focus on the dynamic relation between F and V.
The Hodgkin-Huxley equations were used to generate an action potential triggered by a brief current pulse [35]. Taking this action potential as V(t) and resetting the resting initial voltage to 0, this simulated action potential has an amplitude of 106 mV and a WHM of 1.48 msec (Fig. 1A). The fluorescence signals were then computed from the simulated Hodgkin-Huxley action potential using Eq. 3, with τ = 0.5, 1 and 5 msec (Fig. 1A). These plots illustrate that even with a one msec time constant, a voltage probe will reduce the amplitude and increase the WHM by ~60%. For a range of τ values, Fig. 1B plots the decrease in amplitude and Fig. 1C plots the increase in WHM. As noted above, action potential properties vary between cell types. The Hodgkin-Huxley equations represent the action potential of the squid giant axon, and this can be taken as a generic spike. The results in Fig. 1 thus provide a rough guide for how voltage sensors with different dynamic responses will impair detection and distort the shape of an action potential. However, it should be noted that briefer action potentials will be distorted more and longer action potentials will be distorted less.
Action Potential detection with hVOS
hVOS works through an optical (FRET) interaction between a membrane tethered fluorescent protein and a small non-fluorescent absorber, dipicrylamine (DPA) [34]. DPA has the unusual combined properties of charge and hydrophobicity. It partitions into the lipid bilayer and its negative charge allows it to be pulled from one side of the membrane interior to the other by changes in voltage (Fig. 2A). The distance between the DPA and the chromophore within the fluorescent protein determines the strength of the FRET interaction between the two molecules. Thus, at negative membrane potentials the DPA is far from the fluorescent protein, FRET is weak, and fluorescence emission is high. Depolarization moves the DPA closer to the fluorescent protein and the stronger FRET interaction reduces emission. The original hVOS technique employed EGFP anchored to the membrane by an h-ras motif [34]. Testing a variety of probes and anchoring motifs led to a substantially better probe, composed of cerulean fluorescent protein anchored to the membrane by a truncated h-ras motif [36].
The response time of the hVOS technique depends on the time it takes DPA to traverse the membrane in response to voltage. This has been determined to be about 0.1 msec in guinea pig cardiac myocytes, Xenopus oocytes [37], squid axon [38], frog nerve [39], and HEK cells [40]. Thus, according to the above analysis (Fig. 1) hVOS probes should detect action potentials with high fidelity and produce minimal distortion of shape. In a study of probe performance in brain slices [41], hVOS probe was expressed in brain by two techniques, a non-specific technique, in utero electroporation, and a general neuron-specific technique, from the pan-neuronal thy1 promoter in transgenic mice [42]. An hVOS recording of an action potential from a patch clamped neuron illustrates that the fluorescence signal tracks the voltage change without a time lag (Fig. 2B). Note that the traces diverge at negative membrane potentials due to the nonlinearity of hVOS [34][36]. hVOS recordings from neurons in brain slices from cortex and hippocampus illustrate that action potentials produce fluorescence changes of ~3% with a signal-to-noise ratio of 9–16 [41].
Action potential dynamics were also tested by targeting probe expression to specific types of cells. Using an hVOS Cre reporter mouse (Ai35-hVOS 1.5; available from JAX), the probe was targeted to various neuronal cell types by crossing with the appropriate Cre driver line [24]. Fig. 2C illustrates hVOS recordings of action potentials in calretinin interneurons (hVOS::Calb2), hilar mossy cells (hVOS::CalCrl), parvalbumin interneurons (hVOS::Parv), and inhibitory neurons defined by expression of the enzyme glutamic acid decarboxylase (hVOS::GAD2). WHM values for these and a few other cell types are presented in Fig. 2D. Some of these values differ significantly from one another and they follow a general trend of recapitulating known spike characteristics of different types of neurons [24].
The recordings in Fig. 2 were made in single trial recordings without averaging. This is important for characterizing spikes, because the timing of firing is intrinsically variable. Thus, aside from the issues discussed above regarding probe response time, averaging can also distort dynamics. The latency of a response can fluctuate by 1–2 msec from one trial to the next, and averaging will broaden events over this range to increase the WHM by a factor of two or more [24]. Thus, action potential shapes are much more difficult to study when averaging is necessary.
Action Potential Propagation
An hVOS probe has been developed that shows strong preferential targeting of axons [43]. This targeting was effected by incorporation of a sequence from the axonal protein GAP-43 to the N-terminus (the truncated h-ras motif is at the C-terminus) [36]. This hVOS probe variant was designated hVOS 2.0, and provides a unique opportunity to study action potential dynamics in axons with minimal interference from cell bodies and dendrites. A transgenic mouse generated with this axonal hVOS probe under the thy-1 promoter was found to express probe in the axons of granule cells of the dentate gyrus and mossy cells of the hilus (the axons of granule cells are generally referred to as ‘mossy fibers’). Probe expression was high in the regions containing these axons, particularly in the stratum lucidum of the hippocampal CA3 region, which contains the mossy fiber axons of the granule cells (Fig. 3A), and in the inner molecular layer of the dentate gyrus, which contains the axons of hilar mossy cells (Fig. 3B). Traces from different sites illustrate how the action potential propagates away from the site of stimulation along the fiber track (Figs. 3A and 3B).
Traces such as those shown in Figs. 3A and 3B can be used to generate plots of time versus distance. The slopes then give the action potential conduction velocity (Figs. 3C and 3D). Conduction was slow in the finer axons of mossy cells (0.094 mm/ms in 2 μM DPA and 0.087 mm/ms in 4 μM DPA) and faster in the larger axons of granule cells (0.198 mm/sec in 2 μM DPA and 0.228 mm/ms in 4 μM DPA). The slightly lower velocities in higher DPA concentrations reflect the impact of DPA on membrane capacitance. The different velocities in different axons followed the well-established scaling with the square root of the diameter [43]. The WHM also differed between the two types of axons, and the WHM grew larger as the action potentials propagated in mossy cell axons but not in granule cell axons. Since these measurements were from populations of axons the increase in WHM suggests a dispersion of conduction velocities. This broadening of the population would have the potentially important consequence of reducing the synchrony of activation of postsynaptic targets [43].
Action Potential Broadening and Failure
Repetitive firing at high frequencies induced both broadening and failure of action potentials in both granule cell axons and mossy cell axons [43]. Action potential broadening had been demonstrated previously in granule cell axons because their boutons are large enough for patch clamp recording [12]. hVOS imaging in axons confirmed the prior work (Figs. 4A and 4C) and provided the first demonstration of this phenomenon in the much finer mossy cell axons (Figs. 4B and 4D). Action potential broadening became more pronounced as the stimulation frequency increased, but there was a significant difference in the amount of broadening between the two types of axons with trains of 10 Hz [43]. In granule cell axons this broadening had been shown to be associated with enhanced synaptic release [12] and it is likely that broadening of action potentials in the finer mossy cell axons has similar consequences.
Action potentials also fail with repetitive stimulation, and this serves as an important filtering mechanism in neural computation [44]. In both types of axons labeled by the axonal hVOS 2.0 probe, action potentials attenuated with repetitive stimulation. This can be seen when the traces are not normalized to their peaks (Figs. 4E and 4F). Comparisons of failure rates between sites near the site of stimulation and further away suggested that failure was due to an increase in firing threshold rather than conduction failures. Furthermore, the declines in amplitudes were similar between the axons of granule cells and mossy cells [43]. These experiments with an axonally-targeted genetically-encoded voltage sensor thus established fundamental aspects of action potential dynamics in two populations of axons in the hippocampus. One population, the granule cell axons, can be studied by electrical recording, but with considerable difficulty. The other population, the hilar mossy cell axons, are far too small for any existing electrical recording techniques.
Conclusions
hVOS probes can provide sufficiently strong signals and rapid response time to reveal action potential dynamics in neurons. This has been demonstrated by hVOS imaging of voltage from the cell somata of many classes of neurons, and in two classes of axons. Action potentials in somata produce rapid fluorescence changes that are readily detected, often in single trials. Action potential wave forms could be followed with high temporal fidelity to verify spike characteristics known to be specific to a particular type of neuron. Furthermore, action potential properties were shown to change dynamically in response to repetitive firing. These experiments have demonstrated the practical utility of studying action potential dynamics using hVOS probes, providing new insight into the intrinsic excitability in genetically-targeted cell types and revealing basic mechanisms of neural circuit computation.
Acknowledgements
Funded by NIH grants NS093866 and NS105200.
Footnotes
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