Abstract
Voltage sensitive dye (VSD) imaging was used to quantify in-vivo, network level spatiotemporal cortical activation in response to electrical microstimulation of the thalamus in the rat vibrissa pathway. Thalamic microstimulation evoked a distinctly different cortical response than natural sensory stimulation, with the response to microstimulation spreading over a larger area of cortex and being topographically misaligned with the cortical column to which the stimulated thalamic region projects. Electrical stimulation with cathode-leading asymmetric waveforms reduced this topographic misalignment while simultaneously increasing the spatial specificity of the cortical activation. Systematically increasing the asymmetry of the microstimulation pulses revealed a continuum between symmetric and asymmetric stimulation that gradually reduced the topographic bias. These data strongly support the hypothesis that manipulation of the electrical stimulation waveform can be used to selectively activate specific neural elements. Specifically, our results are consistent with the prediction that cathode-leading asymmetric waveforms preferentially stimulating cell bodies over axons, while symmetric waveforms preferentially activate axons over cell bodies. The findings here provide some initial steps toward the design and optimization of microstimulation of neural circuitry, and open the door to more sophisticated engineering tools, such as nonlinear system identification techniques, to develop technologies for more effective control of activity in the nervous system.
Keywords: Thalamic microstimulation, neural prosthetics, cortex, tactile, voltage sensitive dye imaging
1. Introduction
Electrical stimulation of neural tissue has been utilized for more than a century to either probe neural circuitry [1-9] or create desired percepts [10-16] (for a review, see [17; 18]). Following the success of cochlear implant technology, numerous efforts have been carried out to electrically stimulate various sensory cortical regions to provide surrogate sensory signals for applications in visual and somatosensory prostheses [19-22], to restore sensory function and aid in sensori-motor learning for closed loop brain computer interfaces and motor prosthetics [23; 24]. Although recent advancement in technology has enabled cell-type selective activation of neurons through optical stimulation [25], the barriers to clinical implementation for these techniques make electrical microstimulation the most likely route in the near term for clinical means of controlling neural circuitry on relatively fast time scales for sensory prosthetics in humans.
Despite intense investigation of the anatomy and physiology of sensory pathways in the nervous system, beyond the sensory periphery little is known about how to generally and systematically control activity in these pathways. Although recent work has successfully demonstrated that it is possible for electrical microstimulation to produce simple tactile and visual percepts that contain the same information as those generated by natural sensory stimuli [10; 12], it is currently unclear how to control neural circuitry on a temporal and spatial scale that relates to more complex, naturalistic sensory inputs. In the context of sensory prostheses, given the prevalence and preservation of well-organized topographic maps in all sensory modalities, it is likely that the similarity between neuronal activation patterns evoked by electrical microstimulation and those evoked by natural sensory stimuli plays a key role in minimizing training time and mental load in disabled individuals who use the sensory prostheses. Few studies have systematically compared cortical activation patterns evoked by electrical microstimulation and those evoked by natural sensory stimuli, or investigated how the various parameters of microstimulation may play a role in shaping the spatiotemporal activation of the circuitry (one such study is [26]). The neural responses to electrical stimulation have primarily been studied at the single cell level [17; 27-29] and the behavioral level [17; 30; 31], with comparatively few studies investigating how electrical stimulation activates a network [32; 33]. In awake behaving animals, electrical stimulation has been shown to deliver enough information to the brain to allow animals to perform equally well in sensory discrimination tasks as compared to their performance with natural sensory stimuli [10; 12]. However, in humans, electrical stimulation has occasionally been described as painful [34; 35], unnatural [34; 35], or discordant [36]. These results are hypothesized to derive from the activation of axons residing close to the electrode tip, but originating from cell bodies far from the electrode, instead of direct stimulation of cell bodies in the immediate vicinity of the electrode. Single cell electrical stimulation studies lend support to this hypothesis [28; 29].
Definitive support has been supplied by a recent study in which the composite neural activity of an in-vivo network was recorded in response to direct electrical stimulation of the circuit, indicating that axonal elements near the electrode are activated to produce a sparse and distributed activity within the network [37]. In this study and others, neuronal excitability as a function of electrical microstimulation parameters such as pulse duration, current amplitude, pulse frequency, and polarity of the leading phase has been experimentally investigated [17]. However, recent modeling work has suggested that microstimulation waveform shape may play a significant role in the preferential activation of cell bodies versus axons [38], and this hypothesis has not been experimentally validated [39].
Here, we used voltage sensitive dye (VSD) imaging to quantify in-vivo, network level spatiotemporal cortical activation in response to electrical microstimulation of the thalamic region that provides direct input to cortex in the rat vibrissa pathway. In general, thalamic microstimulation evoked cortical activation that was both more spatially spread and topographically biased compared to that evoked from natural sensory stimulation. However, utilizing electrical microstimulation with cathode-leading asymmetric waveforms significantly reduced the bias of cortical activation and also increased the spatial specificity of cortical activation. Systematically increasing the asymmetry of the microstimulation pulses gradually reduced the topographic cortical activation bias. Our data strongly support the hypothesis that electrical pulses with cathode-leading asymmetric waveforms preferentially activate cell bodies over axons, while electrical pulses with either symmetric or anode-leading asymmetric waveforms preferentially activate axons over cell bodies. The findings here provide some initial steps toward the design and optimization of microstimulation of neural circuitry, and open the door to more sophisticated engineering tools, such as nonlinear system identification techniques, to develop technologies for more effective control of activity in the nervous system.
2. Materials and Methods
2.1. Surgery and preparation
Fourteen female adult albino rats (220-350g; Sprague Dawley, Charles River Laboratories, Wilmington, MA) were used in the study. All procedures were approved by the Institutional Animal Care and Use Committee at the Georgia Institute of Technology, and were in agreement with guidelines established by the National Institutes of Health. Briefly, female albino rats were sedated with 2% vaporized isoflurane and anesthetized with sodium pentobarbital (50 mg/kg, i.p., initial dose); supplemental doses were given as needed to maintain a surgical level of anesthesia, confirmed by measurements of heart rate, respiration and eyelid/pedal reflexes to averse stimuli (toe or tail pinch). In all experiments, body temperature was maintained at 37 °C by a servo-controlled heating blanket (FHC, Bowdoinham, ME). After initial anesthesia, the animal was mounted on a stereotactic device (Kopf Instruments, Tujunga, CA) in preparation for the surgery and subsequent recordings. Atropine (0.5 mg/kg, s.c.) was injected, and Lidocaine was applied to the tissue on top of the head. After the initial midline incision on the head, tissue and skin were resected, and connective tissue was carefully removed. A craniotomy (~ 3 × 4mm) was made on the left hemisphere over the barrel cortex (stereotactic coordinates: 1.0-4.0 mm caudal to the bregma, and 3.5-7.0 mm lateral to the midline) and over the ventroposterior medial nucleus (VPm) of the thalamus (2.0-4.0 mm caudal, 2.0-3.5mm lateral to the midline [40]). A dam was constructed with dental acrylic around the craniotomy over the barrel cortex to contain the voltage sensitive dye solution (RH1691, 1.5mg/ml, Optical Imaging Ltd, Rehovot, Israel) for staining. Mineral oil was periodically applied to the cortical surface over VPm to keep the brain moist. After the recording session, the animal was sacrificed with an overdose of sodium pentobarbital. A subset of the animals were transcardially perfused with 4% paraformaldehyde, and their brains removed for histologically producing the anatomical barrel cortex map.
2.2. VSD imaging
Voltage sensitive dye imaging was achieved by using a high speed, low noise camera coupled with a tandem lens (MiCAM 2, SciMedia, Tokyo, Japan). After the craniotomy over the barrel cortex, the dura mater was allowed to dry for 15 minutes [41]. The cortex was stained with dye RH1691 solution (1.5mg/mL; Optical Imaging) for two hours, during which the dye solution was circulated every 5 minutes to prevent the cerebral spinal fluid from impeding the staining. After staining, saline was applied generously to wash off the dye residue. Then the dam was filled with saline and a glass cover slide was placed on top of the dam to prevent the saline from vaporizing. The dye was excited by a 150W halogen lamp filtered to pass wavelengths only in the 615-645nm band. In all experiments, a 1.0x magnification lens was used as the objective lens in conjunction with a 0.63x condenser lens to provide 1.6x magnification, forming a tandem lens as shown in Figure 1A. Twenty trials of VSD data were collected for each stimulus and they were averaged offline for the data analysis (see response analysis section below).
2.3. Electrophysiological recordings
Extracellular recordings in the VPm were obtained by using single tungsten microelectrodes (~1MOhm, 75um in diameter, FHC, Bowdoinham, ME). The detailed procedure was described previously [42]. Briefly, after the craniotomy, a tungsten microelectrode was slowly advanced into VPm using a hydraulic micropositioner (Kopf Instruments, Tujunga, CA). During electrode advancement through VPm, individual whiskers were stimulated manually to identify the principal whisker (PW), i.e. the whisker that evokes the strongest response. In a subset of experiments, the single-unit responses to the principal whisker and the adjacent whiskers were recorded, a typical example of which is shown in Figure 2B. We aimed to recruit barrel fields in the E and D rows, which are located close to the center of imaging field in our preparation. In 14 experiments, the D1 barreloid was accessed 6 times, the D2 barreloid was accessed once, the D3 barreloid was accessed 5 times, the E1 barreloid was accessed once, and the E3 barreloid was accessed once. Neuronal signals were amplified, band-pass filtered (500-5kHz), digitized at 30 kHz/channel, and collected using a 96-channel data-acquisition system (Blackrock Microsytems, Salt Lake city, UT, USA).
2.4. Thalamic microstimulation
After the principal whisker was identified, the thalamic electrode was used to deliver single electrical current pulses to evoke cortical responses in the somatosensory pathway. The electrical stimuli were created using a digital stimulus generator (Model: DS8000, WPI Inc., Sarasota, Florida) and delivered using a digital linear stimulus isolator (Model: DLS 100, WPI Inc., Sarasota, Florida) acting in current source mode. Additionally, a fast switching relay was used to prevent charge accumulation on the electrode tip. All individual electrical stimuli were charge balanced. Three type of stimulus waveforms were used in this study: 1) a cathode-leading, symmetric biphasic waveform of 200 microseconds duration per phase (Symm), 2) a cathode-leading, asymmetric biphasic waveform with 1 millisecond of cathodal duration and 200 microseconds of anodal duration (ASymC), and 3) an anode-leading, asymmetric biphasic waveform with 1 millisecond of anodal duration and 200 microseconds of cathodal duration (ASymA). In the last part of this study, the asymmetry of the cathode-leading asymmetric, i.e. ASymC, waveform was systematically changed to more precisely determine the effect of the asymmetry on the specificity of electrical stimulation. Asymmetry was defined as the ratio of the duration of the first phase to the duration of the second phase minus one, such that the Symm waveform had an asymmetry of zero and the ASymC waveform had an asymmetry of four. Waveforms were delivered over a range of current amplitudes (30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 120, 150 microamps). In each experiment, eight amplitudes were randomly chosen.
2.5. Whisker stimulation
Sensory stimulation (S-Stim) was applied through computer controlled whisker deflections. Whiskers were trimmed at approximately 12mm from the face, and were inserted into a glass pipette fixed to the end of a calibrated multi-layered piezoelectric bimorph bending actuator (range of motion, 1 mm; bandwidth, 200 Hz; Physik Instrumente (PI), Auburn, MA) positioned 10 mm from the vibrissa pad. Vibrissae were always deflected in the rostral-caudal plane. Punctate deflections consisted of exponential rising and falling phases (99% rise time, 5 ms; 99% fall time, 5 ms) and angular deflection velocities of 75, 150, 225, 300, 450, 600, 900, and 1200 deg/s were used as mechanical probe stimuli (S-Stim).
2.6. Histology
Methods were adapted from Wong-Riely (1979)[43], with modifications adapted from Silverman and Tootell (1987) [44]. Briefly, the cortex was flattened to 1mm and fixed in 4% paraformaldehyde for 12 hours. Tangential sections of 70um were washed for 10 minutes in 10% sucrose in 0.1M phosphate buffer, 10 minutes in 10% sucrose in 0.05M Tris with 275mg/L cobalt chloride, then 3 times in PBS before being incubated at 37C for 5 hours in the staining solution (0.5g/L DAB, 50g/L sucrose and 75mg/L cytochrome c in 0.1M PB).
2.7. Barrel mapping
The VSD data collected in response to whisker stimulation was functionally registered to the histological map of the barrel cortex [45]. The contours of the barrel cortex columns, shown in Figure 1C, were outlined using the Neurolucida software (MBF Bioscience, Williston, VT) and imported into Matlab. The cortical columns were determined in the VSD data by deflecting a single whisker using a piezoelectric actuator and recording the cortical response. An example of the spatiotemporal VSD response to a single whisker deflection is shown in Figure 1B. The initial frame of cortical activation, which has previously been shown to be restricted to a single cortical column [46], was captured for individual deflection of 4-6 different whiskers during each experiment. An example of the VSD response to the deflection of four different whiskers is overlaid in Figure 1D. A least-squares algorithm was used to map the histologically identified anatomical barrel cortex map to the functional barrel cortex map measured through the VSD imaging. The histologically identified barrel map was registered with the functional column mapping from VSD by solving the following linear inverse problem [47]:
(1) |
where the set of ui and vi are the coordinates of the center of mass of VSD activation following each whisker deflection, xi and yi are the coordinates of the centroid of each barrel column in the histology frame of reference, and A, θ, tx, and ty represent the scale, rotation, and translation, respectively, to register the two coordinate axes.
If histology was not available for a given experimental day, the histological map from other experimental sessions that produced the best fit was used. We have found that histologically identified anatomical barrel cortex maps were consistent across animals in terms of structure, and there was no qualitative difference in the results when histological maps were interchanged across experiments.
2.8. VSD response analysis
All analyses were conducted using Matlab (Mathworks, Natick, MA). Voltage sensitive dye responses to mechanical deflection of whiskers (S-Stim) and to thalamic electrical stimulation, i.e. Symm, ASymC and ASymA, were averaged over 20 trials. The averaged responses at each frame were then fitted with 2D Gaussians [48]. The center of the 2D Gaussian was considered as the center of cortical activation. To estimate the area of cortical activation, the frames prior to the stimulus onset were used to estimate the background noise. Only activation greater than 3 times the level of the background noise was considered. The area of the intersection of the 2D Gaussian and the plane of 3 times the background noise was defined as the activation area, as shown in Figure 3B. If the magnitude of the 2D Gaussian was less than 3 times the background noise, the activation area was considered to be zero.
A vectorized method was used to capture both the magnitude and direction of the offset between the VSD center of mass and the center of the barrel electrophysiologically matched to the electrode location (principal barrel). The center of the principal barrel was defined as the origin of the coordinate system. Because the barrel map orientation within the VSD imaging window was not strictly the same for each experimental session, another reference location was needed to ensure consistency of the coordinate system from day to day. The vector, (black vectors in Figure 4C), given by the whisker immediately caudal to the principal whisker is used to define the zero degree direction. Within this coordinate system the magnitude and direction of the VSD response relative to the principal barrel are given by the vector, (blue and red vectors in Figure 4C), connecting the origin to the center of mass of the VSD response. The distance metric used in Figures 4 and 5 is given by the average of the magnitude of across experimental sessions. The topographic bias measurement used in Figure 4 is given by the angle between and . The coherence in this bias across experiments is calculated using the vector strength given by the equation below, where θ is the angle from ith experimental session [49]:
(2) |
3. Results
All measurements were conducted in the thalamocortical circuit of the rodent vibrissa/whisker pathway in-vivo. The basic setup for whisker stimulation, thalamic recording and microstimulation, and imaging of cortical activation is shown in Figure 1A (see Methods). The spatiotemporal dynamics of whisker-driven cortical responses were measured using voltage-sensitive dye (VSD) imaging in-vivo. Deflection of a single mystacial whisker attached to a computer controlled multilayer piezoelectric actuator (see methods) evoked a robust cortical response 15-25ms following the facial whisker deflection, consistent with previous studies [46]. An example cortical response is shown in Figure 1B, with a sequence of VSD frames following the whisker deflection displaying the fluorescence generated through changes in membrane voltage. Note that the histologically generated column/barrel map is superimposed for reference (black traces). Each cortical column is primarily associated with one facial whisker, termed the principal whisker. Figure 1C shows the histological map of the barrel cortex, and Figure 1D illustrates the histologically generated columnar map (see Methods) superimposed on the optical image of the brain surface. The initial cortical activations induced by deflection of the E2, D1, D2, and C2 whiskers are color-coded and superimposed here, for illustration (note that here we use the classical nomenclature for naming the facial whiskers [50]). Although the cortical activation was initially topographically restricted in and around the column/barrel associated with the PW, the cortical response quickly spread across a large number of adjacent columns following a single whisker deflection, as seen in Figure 1B. The example in Figure 1E shows the mean activation within several nearby cortical columns (D1, D2, D3, and D4) following the deflection of the D1 whisker, illustrating the time-course of the spatial spread of cortical activation.
Functional validation of thalamic electrode placement
A critical analysis here is that of the comparison of the cortical response to stimulation of a single whisker (Sensory Stimulation, or S-Stim) with that induced by thalamic microstimulation (Electrical Stimulation, or E-Stim). It is thus necessary to precisely map the position of the stimulating electrode within the thalamic VPm relative to the whisker array on the face. This was achieved by recording whisker-driven spiking activity in response to a punctate deflection applied to individual whiskers in the array. The principal whisker was defined as that whisker which evoked the strongest spiking activity in terms of the mean spike count within a 30ms window following the whisker deflection [42]. Figure 2A shows typical single-unit activity recorded in VPm, with a trace of the raw signal (left) and overlaid spike waveforms (right). Figure 2B shows the peri-stimulus time histograms (PSTHs) for the VPm recording in response to a single punctate stimulus (see methods) of different whiskers (E1, E2, E3, D1, D2, D3, C2), where the D2 whisker evoked the largest response in this particular case, and was therefore the primary whisker for this electrode placement. On average, the PW elicited significantly more spikes per deflection as compared to the adjacent whiskers (AWs) (p=0.01, Mann-Whitney U-test, n=7, Figure 2C), consistent with previous studies [51].
Quantification of the VSD response
To quantify the cortical activation evoked by whisker deflection and thalamic microstimulation, the VSD images were each fitted with a two dimensional Gaussian function (see methods). A typical VSD sequence following whisker stimulation is shown in Figure 3A. The raw sequence is shown in the top row, and the corresponding colormap of the Gaussian fit is shown in the bottom row. Note that despite the topographic relationship between the facial whisker and a particular cortical column (as outlined in black, where the primary column/barrel is denoted with a black dot), following the activation onset at 20ms post-stimulus, there was a significant spread of the activation across a large region of the cortical barrel map, consistent with previous findings [46]. To quantify the nature of the cortical response, the magnitude of the cortical response was defined as the magnitude of the Gaussian fit, and the area of the cortical activation was defined as the region of intersection of the Gaussian fit with a plane positioned at 3 times the standard deviation of the pre-stimulus VSD signal (i.e. noise), as illustrated in Figure 3B.
Thalamic microstimulation results in a systematic topographical bias in cortical activation
The locus of activation of the primary somatosensory cortex carries important information about the somatotopy of the body surface. Activation of cortex through thalamic microstimulation revealed a systematic bias in the locus of activation that was not seen for the sensory stimulus. Figure 4A shows a typical VSD response, where the top row is the sequence of VSD images taken following a punctate deflection of a single whisker (S-Stim), and the bottom row is the sequence of VSD images taken after a single microstimulation pulse was delivered to the corresponding topographically aligned region in the VPm thalamus (E-Stim). The E-Stim was a conventional symmetric biphasic current pulse waveform (60 uA in amplitude, 200us per phase). It is qualitatively apparent from this example that the locus of cortical activation was different between the S-Stim and E-Stim cases, and that the initial onset of activation from E-Stim was not topographically aligned with the cortical column/barrel to which this region of VPm thalamus projects (denoted with black dot in center of overlaid columnar map) as it is for the S-Stim response (top row).
The centroid of the Gaussian fit of the VSD signal was then used to quantify this effect, specifically through the distance between the centroid measured from the VSD signal (at onset frame) and the actual center of the column. On average, the centroid of cortical activation in response to the sensory stimulus was within the cortical column/barrel (distance less than 250um, which is approximately the radius of a cortical column/barrel, denoted by dashed line in Figure 4B). In contrast, the centroid of the Gaussian fit of the VSD signal in response to thalamic microstimulation diverged significantly from the center of the actual cortical column (distance of centroid to actual center >850um, Figure 4B). The mis-alignment of the cortical activation with the actual barrel/column corresponding to the whisker/electrode location was significantly greater for the thalamic microstimulation than for the whisker stimulation (p<0.001, Wilcoxon signed-rank test, Figure 4B, n=9). Furthermore, we have found that there was no correlation between topographic bias and stimulus intensity (p = 0.539, Mann-Whitney U test).
The discrepancy between the centroid of cortical activation in response to thalamic microstimulation and the centroid of the principal barrel column might be due to increased variability in the measurement of the centroid of the VSD in the case of the thalamic microstimulation. In this scenario, we would expect the centroid of the cortical activation to be randomly located relative to the actual center of the barrel/column. Figure 4C shows the distribution of vectors computed as the difference between the centroid of cortical activation and the actual center of the cortical column/barrel, capturing both magnitude and direction. While the vectors measuring discrepancy for the S-Stim case exhibited a more dispersed distribution and an overall difference well within the actual column (left plot, light blue line is average, relative to column denoted by dashed circle), the vectors associated with the thalamic microstimulation exhibited a strong bias along the cortical columns associated with a row of whiskers (right plot). To quantify this notion, we used vector strength to measure how well the vectors were aligned along a common direction, as opposed to randomly dispersed [49] (see Methods). Indeed, the vectors in the thalamic microstimulation case were more locked to the direction along the barrel row (vector strength: 0.91, Figure 4C: right) than in the whisker deflection case (vector strength: 0.63, Figure 4C: left), pointing to a systematic bias in the cortical activation in response to thalamic microstimulation.
Cathode-leading asymmetric microstimulation significantly improved the topographic activation of cortex
Modeling studies have suggested that the conventional symmetric, charge-balanced current waveform pulse (utilized in Figure 4) may preferentially activate axons as opposed to cell bodies [38]. In contrast, it has been asserted that using biphasic current pulses with asymmetric waveforms can preferentially activate cell bodies. If the bias in cortical activation exhibited in Figure 4 is due to the activation of fibers of passage rather than cell bodies local to the electrode tip, then an asymmetric pulse design may alleviate some of this problem. Using a cathode-leading asymmetric waveform for the thalamic microstimulation significantly decreased the discrepency between the centroids of cortical activation and the actual center of the barrel/column. This is first shown qualitatively in Figure 5A, where the top row is again the sequence of VSD images following whisker stimulation, the middle row following thalamic microstimulation with a symmetric current injection waveform, and the third row following thalamic microstimulation with an asymmetric, cathode-leading current injection waveform. Qualitatively, we see that the asymmetric microstimulation results in an initial onset of cortical activation that is more topographically aligned with the response to the whisker stimulation, as compared to the symmetric microstimulation. The Quantification in Figure 4B was repeated for the asymmetric, cathode-leading case, and resulted in a significant decrease in the topographic discrepency (from >850um to 617um, p=0.003, Wilcoxon signed-rank test, Figure 5B, n=9). Therefore, cathode-leading asymmetric microstimulation significantly diminished the discrepancy between the centroids of cortical activation and the centroid of the principal barrel, improving the topographic activation of cortex. To rule out the possibility that this improvement was due to the difference of the derivative of charge delivered (the total charge per phase was the same for both AsymC and Symm, and the amplitudes of the anodal phase was the same), we also tested the anode-leading asymmetric waveform, which is the flip of the cathode-leading asymmetric waveform. In contrast to the cathode-leading asymmetric waveform, the cortical activation induced by the anode-leading asymmetric waveform diverged even further from the correct topographic location than that for the symmetric microstimulation waveform (p<0.001, Wilcoxon signed-rank test, Figure 5B, n=9). Interestingly, the difference in the topographic localization of the cortical responses induced by the different microstimulation waveforms was most prominent at the onset of cortical activation (initial frame), and was reduced as the VSD signal propagated beyond the initial frame (Figure 5C).
The topographic alignment of the cortical activation was enhanced with increasing asymmetry of the microstimulation waveform
To measure the effects of temporal asymmetry in the charge delivery of the microstimulation on the localization of the cortical response, the degree of asymmetry in the microstimulation pulse was systematically varied. Specifically, a measure of asymmetry was defined as the duration of the cathodal phase over the duration of the anodal phase minus one, where the perfectly symmetric waveform has an asymmetry measure of zero, and increasing the duration of the initial cathodal component of the waveform increases the measure of asymmetry, as shown in Figure 6A. Note that the waveform in each case was charge balanced, yielding a net charge delivery of zero over the duration of the waveform. The discrepancy between the centroid of cortical activation and the center of the actual column/barrel exponentially decayed with the asymmetry of the waveform, and saturated at approximately 650um (Figure 6B).
Cathode-leading asymmetric waveform also improved the specificity of thalamic microstimulation
In addition to affecting the locus of activation following thalamic microstimulation, the waveform properties also had a significant effect on the magnitude and area of cortical activation following microstimulation. As shown in Figure 3B, the magnitude of the cortical response was defined as the magnitude of the two-dimensional Gaussian fitted to the cortical VSD signal, and the area of cortical activation was defined as the size of the cortical region spanned by the two-dimensional Gaussian at a magnitude of three times the standard deviation of the background noise. In general, the area and magnitude of the cortical activation increased with increasing stimulus strength. Figure 7A shows the relationship between increasing angular velocity of the punctate whisker deflection and the magnitude (left) and area (middle) of cortical activation, with a monotonic increase in each. The area of activation was coupled to the magnitude, with a fairly linear relationship (Figure 7A, right). Similarly, with the thalamic microstimulation, there was an increase in the magnitude and area of cortical activation with increasing amplitude of the current pulse, shown for the symmetric and asymmetric cases in the left and middle panels of Figure 7B and C. Again, in both of these cases, the magnitude and area of cortical activation were coupled, exhibiting a fairly linear relationship for each (Figure 7B and C, right panels). In utilizing the thalamic microstimulation as a surrogate input to the pathway, the nominal goal is to activate cortex in a manner that is consistent with that of sensory stimulation (S-Stim, Figure 7A). To activate the appropriate area of cortex associated with a particular angular velocity of the tactile input, for example, the current amplitude of the microstimulation pulse can be adjusted. However, for the symmetric waveform, the cortical response was quite widespread, resulting in an area of activation that would be substantially greater than that corresponding to the sensory stimulation, even for relatively low values of current near threshold. Furthermore, the coupling of the area and magnitude of activation was such that if the magnitude of activation were matched to that of the sensory stimulation, the area of activation would be too great, and if the area of activation were matched to that of the sensory stimulation, the magnitude would be too low. This was not the case for the asymmetric microstimulation waveform. This is well captured by comparing the slopes of the relationships between the area and magnitude of activation for each case, as shown in Figure 7D, where the slope for the symmetric case was significantly lower than that for sensory stimulation, but using an asymmetric waveform resulted in a slope much closer to that of the sensory stimulation.
4. Discussion
Here, we characterized the response of primary somatosensory cortex to both peripheral tactile stimulation and electrical stimulation of the thalamic region providing direct input to barrel cortex. Conventional symmetric biphasic electrical stimulation activated a broad region of the cortex centered at a region that was multiple cortical columns away from the cortical column which was topographically aligned with the electrode location. Although not directly assessed here, the consequences of this topographic mismatch would likely produce undesired percepts because previous work with brain imaging has suggested that there is a strong correlation between cortical activation and perception [52; 53]. Previous studies using thalamic stimulation in humans have reported that percepts induced by electrical stimulation are often unnatural or discordant with relation to the anatomical electrode position [34-36], potentially linked to the phenomena we describe here.
Although it has been hypothesized that the aberrant sensations resulting from microstimulation are due to activation of axons passing by the electrode tip in addition to the nearby cell bodies, the downstream neural response causing these sensations has not been studied in detail for functional validation. Beyond the sensory periphery, the anatomy of the circuitry places neuronal cell bodies and axonal fiber tracts within close proximity of one another. As a result, microstimulation can activate neurons with cell bodies that are quite far from the site of stimulation [37; 54], beyond that predicted by conventional understanding of how electric fields grow with the magnitude of the current injection. What has been observed is that neurons with cell bodies very distal to the stimulation site can still be activated for very small currents, attributed to the crossing of fiber tracts through the volume of tissue affected by the electric field, resulting in what Butovas and Schwarz refer to as a spatiotemporal “blurring” of the activation. In a more recent study, two-photon microsocopy was utilized to observe the neural responses to nearby electrical stimulation in-vivo. Through this technique, the authors provide strong evidence that electrical stimulation principally activates axons within a very short radial distance from the electrode [37].
Previous modeling work predicts that alterations in the stimulation waveform change the relative stimulation thresholds for cell bodies near the electrode and passing axons [38]. This is hypothesized to occur through differential inactivation of sodium channels at the cell body and nearest node of Ranvier caused by the long subthreshold cathodal phase of the asymmetric stimulus waveform [38; 55]. The sodium channels at the node of Ranvier are inactivated by the depolarizing cathodal pulse and then the subsequent short duration, high current anodal phase preferentially stimulates the nearby cell bodies. Although this study does not provide observation at this level of detail, functionally we observed a distinct difference in cortical response when using symmetric vs asymmetric stimulation that is consistent with this notion. Whereas the response to symmetric stimulation was centered multiple cortical columns away from the cortical column topographically matched to the electrode position, the response to asymmetric stimulation was shifted more closely to the anatomically expected cortical column. Additionally, recent work in awake behaving rats has shown that cathode-leading asymmetric waveforms had higher detection thresholds than symmetric waveforms for intracortical microstimulation [56]. This finding is consistent with our results and together they suggest that asymmetric and symmetric stimulation likely activate different neural elements. Further investigation is necessary to more directly determine whether asymmetric pulses provide increased selectivity of cell bodies over axons.
Although the exact anatomy of the projecting fibers from the VPm thalamus to layer 4 of the primary somatosensory cortex has not been fully understood, histological evidence suggests that fibers from VPm regions (barreloids) associated with more rostral tactile input pass by the VPm barreloids associated with more caudal input on the way to primary somatosensory cortex [57; 58]. Given this anatomical arrangement, we would expect that if symmetric stimulation preferentially activates axons as opposed to cell bodies, the cortical activation would be centered in the cortical columns corresponding to whiskers more rostral than the whisker corresponding to the electrode location. Indeed, we observed a systematic topographic bias in the center of mass of the cortical response towards cortical columns representing rostral inputs when using symmetric stimulation. The systematic topographic bias, in concert with previous histological evidence, strengthens the support for the hypothesis that asymmetric stimulation increases the selectivity stimulation of cell bodies vs. axons.
While the results presented here are specific to stimulation of the VPm region of the somatosensory thalamus in the rodent, we expect the phenomenon to be consistent in other regions of the brain, and thus the findings here are general. We use thalamic stimulation due to the extensive literature detailing the anatomical and functional characterization of the thalamocortical circuit in the rodent vibrissa system [59-61], and the fact that it provides direct, mono-synaptic input to cortical layer 4 in the vibrissa region. Furthermore, stimulation in the thalamus paired with recording in cortex allows us to observe the direct neural response to electrical stimulation on a network level by recording only two synapses downstream of the stimulation, with voltage sensitive dye imaging of layer 2/3 cortical activity. Importantly, the site of the stimulating electrode in the VPm thalamus is approximately four millimeters from the site of the VSD imaging in cortex, implying that the observed cortical activation is due to engagement of the thalamocortical circuit, rather than passive conduction through the tissue. The voltage sensitive dye imaging proves ideal for this study due to its high spatial and temporal resolution, allowing a full characterization of the spatiotemporal cortical response to a point source of current in the thalamus [41; 62]. While the voltage sensitive dye signal is limited to layer 2/3 activity due to light scattering, it has been shown that early periods of activation in layer 2/3 reflect the activation patterns within layer 4, suggesting that the VSD imaging at the activation onset is likely very similar to the activity of the input layer 4 [46]. It should be noted that the topographic misalignment of the cortical activity in response to thalamic microstimulation is most pronounced at the onset of cortical activation. However, the later stage of activation spreads across a large region of cortex and even so, some degree of disrupted somatotopy does persist following the initial activation. The coding of any sensory stimuli more complex than the unitary impulses we utilize here could thus not rely on later stages of cortical activation to alleviate the problem. Initial activation of areas not topographically aligned with the desired percept would preclude subsequent or concurrent activation of that region in the context of more rich, spatiotemporal sensory stimuli. Finally, although the VSD activity has been linked to sub-threshold membrane potentials, and thus the measured signals do not directly reflect action potentials, action potentials do obviously accompany strong depolarizations and the hard-thresholding we apply to the VSD imaging likely captures the distinction.
Our findings have strong implications for delivering information to the brain for sensory prosthetics applications. Microstimulation disrupts the somatotopy that the brain strives to maintain throughout development, possibly through the activation of passing axon fiber tracts, which would be a problem in almost all brain regions including the most simply arranged anatomy of the periphery. This could lead to nearby electrodes producing similar or overlapping perceptions if the same axons pass by each electrode. For instance, Grill et al. reported that humans, in response to thalamic microstimulation, often experience parathesias that are localized to a different somatotopic region than the mapped sensory receptive field of the stimulating electrode, a phenomenon termed “discordant parethesia” [36]. While it is clear that the capabilities for plasticity and learning in the brain improve the likelihood of success in interpreting this surrogate signaling to the brain, there is a fundamental limit in that the sensations must be discriminable to be functionally useful [63]. This problem could be alleviated by ensuring that a one-to-one topographic map is preserved, even if different from the one of the normal physiology. By more closely adhering to the normal somatotopy, asymmetric stimulation pulses ensure that sensations produced by nearby electrodes are less affected by the underlying axonal anatomy and more likely to be distinct and natural sensations. Additionally, asymmetric stimulation pulses result in cortical responses that have a higher spatial specificity, and much closer to normal sensory stimulation, than symmetric biphasic pulses. Given that the discriminability of information delivered to the brain is likely affected by the overlap of the cortical responses to neighboring inputs, asymmetric cathodal stimulation would thus likely increase the functional resolution of a sensory prosthetic.
Given that this study was focused on electrical microstimulation, it is unclear how these findings might impact newly developed techniques for optical activation of neural tissue. Just as injection of even very small (~10uA) currents into cortex can activate thousands of neurons proximal to the electrode tip [64], optical stimulation at typical experimentally applied power ranges may activate tissue in a region on the order of a cubic millimeter [65]. Furthermore, the axonal tracts of neurons expressing optogenetic proteins contain a high enough concentration of the light-activated channels to generate action potentials via optical stimulation [66], potentially leading to the same issues faced with electrical microstimulation. However, unlike electrical microstimulation, optogenetic-based techniques may provide the much-needed selectivity that will permit differential activation of sub-populations of neurons that are not segregated spatially. Through genetic expression or viral transfection, different cell types can be targeted to express specific channels that can be optically activated to depolarize or hyperpolarize the cell [67]. If this type of selectivity can be extended to differentially activate cell bodies and axons, the issue of somatotopic misalignment we describe here may be further resolved.
Taken together, the results here provide some initial directions in the design of charge delivery for topographically activating downstream circuits through electrical microstimulation. Future experimental and modeling studies may further optimize the stimulus design and expand the problem to more complex patterns of microstimulation across electrode arrays, which are requisite to deliver the high amount of information embedded in the sensory environment. Just as this study sought to characterize and control the nonlinearities involved in the spatial activation profile of a single stimulus pulse, future work must also address the dynamic nonlinearity that governs the neural response to temporal sequences of stimulation in order to gain precise control of complex neural circuits, which is essential for high fidelity sensory prosthetic technology.
Acknowledgments
This work was supported by the National Institutes of Health (NIH Grant R01NS48285). The authors would like to thank Clare Gollnick for the assistance in histology.
Contributor Information
Qi Wang, Email: qi.wang@bme.gatech.edu.
Garrett B. Stanley, Email: garrett.stanley@bme.gatech.edu.
References
- 1.Fritsch Eduard, Hitzig Gustav. Uber die elektrische erregbarkeit des grosshims. Arch Anat Physiol wiss Med. 1870;37:300–332. [Google Scholar]
- 2.Salzman C Daniel, Britten Kenneth H, Newsome William T. Cortical microstimulation influences perceptual judgements of motion direction. Nature. 1990;346(6280):174–177. doi: 10.1038/346174a0. [DOI] [PubMed] [Google Scholar]
- 3.Swadlow Harvey A, Lukatela Katarina. Cross-correlation and microstimulation: complementary tools in the extracellular analysis of synaptic interactions. Journal of Neuroscience Methods. 1996;64(2):219–225. doi: 10.1016/0165-0270(95)00137-9. [DOI] [PubMed] [Google Scholar]
- 4.Graziano Michael SA, Taylor Charlotte SR, Moore Tirin. Complex movements evoked by microstimulation of precentral cortex. Neuron. 2002;34(5):841–851. doi: 10.1016/s0896-6273(02)00698-0. [DOI] [PubMed] [Google Scholar]
- 5.Moore Tirin, Armstrong Katherine M. Selective gating of visual signals by microstimulation of frontal cortex. Nature. 2003;421(6921):370–373. doi: 10.1038/nature01341. [DOI] [PubMed] [Google Scholar]
- 6.Tolias Andreas S, Sultan Fahad, Augath Mark, Oeltermann Axel, Tehovnik Edward J, Schiller Peter H, Logothetis Nikos K. Mapping cortical activity elicited with electrical microstimulation using fmri in the macaque. Neuron. 2005;48(6):901–911. doi: 10.1016/j.neuron.2005.11.034. [DOI] [PubMed] [Google Scholar]
- 7.Butovas S, Hormuzdi SG, Monyer H, Schwarz C. Effects of electrically coupled inhibitory networks on local neuronal responses to intracortical microstimulation. Journal of Neurophysiology. 2006;96(3):1227–1236. doi: 10.1152/jn.01170.2005. [DOI] [PubMed] [Google Scholar]
- 8.Yang Yang, DeWeese Michael R, Otazu Gonzalo H, Zador Anthony M. Millisecond-scale differences in neural activity in auditory cortex can drive decisions. Nat Neurosci. 2008;11(11):1262–1263. doi: 10.1038/nn.2211. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Gaunt RA, Hokanson JA, Weber DJ. Microstimulation of primary afferent neurons in the l7 dorsal root ganglia using multielectrode arrays in anesthetized cats: thresholds and recruitment properties. Journal of Neural Engineering. 2009;6(5) doi: 10.1088/1741-2560/6/5/055009. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 10.Romo Ranulfo, Hernandez Adrian, Zainos Anotonio, Salinas Emilio. Somatosensory discrimination based on cortical microstimulation. Nature. 1998;392(6674):387–390. doi: 10.1038/32891. [DOI] [PubMed] [Google Scholar]
- 11.Humayun Mark S, Weiland James D, Fujii Gildo Y, Greenberg Robert, Williamson Richard, Little Jim, Mech Brian, Cimmarusti Valerie, Van Boemel Gretchen, Dagnelie Gislin, de Juan Eugene. Visual perception in a blind subject with a chronic microelectronic retinal prosthesis. Vision Research. 2003;43(24):2573–2581. doi: 10.1016/s0042-6989(03)00457-7. [DOI] [PubMed] [Google Scholar]
- 12.Pezaris John S, Reid R Clay. Demonstration of artificial visual percepts generated through thalamic microstimulation. Proceedings of the National Academy of Sciences. 2007;104(18):7670–7675. doi: 10.1073/pnas.0608563104. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.Butovas S, Schwarz C. Detection psychophysics of intracortical microstimulation in rat primary somatosensory cortex. European Journal of Neuroscience. 2007;25(7):2161–2169. doi: 10.1111/j.1460-9568.2007.05449.x. [DOI] [PubMed] [Google Scholar]
- 14.Houweling Arthur R, Brecht Michael. Behavioural report of single neuron stimulation in somatosensory cortex. Nature. 2008;451(7174):65–68. doi: 10.1038/nature06447. [DOI] [PubMed] [Google Scholar]
- 15.Parker Rebecca A, Davis Tyler S, House Paul A, Normann Richard A, Greger Bradley. Chapter 11 - the functional consequences of chronic, physiologically effective intracortical microstimulation. In: Garwicz Martin, Schouenborg Jens, Danielsen Nils., editors. Brain Machine Interfaces: Implications for Science, Clinical Practice and Society, of Progress in Brain Research. Vol. 194. Elsevier; 2011. pp. 145–165. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 16.Venkatraman S, Carmena JM. Active sensing of target location encoded by cortical microstimulation. Neural Systems and Rehabilitation Engineering, IEEE Transactions. 2011;19(3):317–324. doi: 10.1109/TNSRE.2011.2117441. [DOI] [PubMed] [Google Scholar]
- 17.Tehovnik EJ, Tolias AS, Sultan F, Slocum WM, Logothetis NK. Direct and indirect activation of cortical neurons by electrical microstimulation. Journal of Neurophysiology. 2006;96(2):512–521. doi: 10.1152/jn.00126.2006. [DOI] [PubMed] [Google Scholar]
- 18.Clark Kelsey L, Armstrong Katherine M, Moore Tirin. Probing neural circuitry and function with electrical microstimulation. Proceedings of the Royal Society B: Biological Sciences. 2011;278(1709):1121–1130. doi: 10.1098/rspb.2010.2211. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 19.Normann Richard A, Greger Bradley A, House Paul, Romero Samuel F, Pelayo Francisco, Fernandez Eduardo. Toward the development of a cortically based visual neuroprosthesis. Journal of Neural Engineering. 2009;6(3):035001. doi: 10.1088/1741-2560/6/3/035001. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 20.Bradley DC, Troyk PR, Berg JA, Bak M, Cogan S, Erickson R, Kufta C, Mascaro M, McCreery D, Schmidt EM, Towle VL, Xu H. Visuotopic mapping through a multichannel stimulating implant in primate v1. Journal of Neurophysiology. 2005;93(3):1659–1670. doi: 10.1152/jn.01213.2003. [DOI] [PubMed] [Google Scholar]
- 21.Tehovnik Edward J, Slocum Warren M, Smirnakis Stelios M, Tolias Andreas S. Microstimulation of visual cortex to restore vision. In: Hol Elly M, Huitenga Inge, Wijnholds Jan, Bergen Arthur B, Boer Gerald J, Verhaagen Joost, Dick F Swaab., editors. Progress in Brain Research. Vol. 175. Elsevier; 2009. pp. 347–375. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 22.Pezaris John S, Eskandar Emad N. Getting signals into the brain: visual prosthetics through thalamic microstimulation. Neurosurgical Focus. 2009 Jul 01;27(1):E6. doi: 10.3171/2009.4.FOCUS0986. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 23.O’Doherty Joseph E, Lebedev Mikhail, Hanson Timothy L, Fitzsimmons Nathan, Nicolelis Miguel AL. A brain-machine interface instructed by direct intracortical microstimulation. Frontiers in Integrative Neuroscience. 2009;3(20) doi: 10.3389/neuro.07.020.2009. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 24.James M Rebesco, Lee E Miller. Enhanced detection threshold for in vivo cortical stimulation produced by hebbian conditioning. Journal of Neural Engineering. 2011;8(1):016011. doi: 10.1088/1741-2560/8/1/016011. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.Boyden Edward S, Zhang Feng, Bamberg Ernst, Nagel Georg, Deisseroth Karl. Millisecond-timescale, genetically targeted optical control of neural activity. Nat Neurosci. 2005;8(9):1263–1268. doi: 10.1038/nn1525. [DOI] [PubMed] [Google Scholar]
- 26.Weber DJ, London BM, Hokanson JA, Ayers CA, Gaunt RA, Torres RR, Zaaimi B, Miller LE. Limb-state information encoded by peripheral and central somatosensory neurons: Implications for an afferent interface. Neural Systems and Rehabilitation Engineering, IEEE Transactions. 2011 Oct;19(5):501–513. doi: 10.1109/TNSRE.2011.2163145. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 27.Stoney SD, Thompson WD, Asanuma H. Excitation of pyramidal tract cells by intracortical microstimulation: effective extent of stimulating current. Journal of Neurophysiology. 1968;31(5):659–669. doi: 10.1152/jn.1968.31.5.659. [DOI] [PubMed] [Google Scholar]
- 28.Nowak LG, Bullier J. Axons, but not cell bodies, are activated by electrical stimulation in cortical gray matter i. evidence from chronaxie measurements. Experimental Brain Research. 1998;118(4):477–488. doi: 10.1007/s002210050304. [DOI] [PubMed] [Google Scholar]
- 29.Nowak LG, Bullier J. Axons, but not cell bodies, are activated by electrical stimulation in cortical gray matter ii. evidence from selective inactivation of cell bodies and axon initial segments. Experimental Brain Research. 1998;118(4):489–500. doi: 10.1007/s002210050305. [DOI] [PubMed] [Google Scholar]
- 30.Murasugi CM, Salzman CD, Newsome WT. Microstimulation in visual area mt: effects of varying pulse amplitude and frequency. The Journal of Neuroscience. 1993;13(4):1719–1729. doi: 10.1523/JNEUROSCI.13-04-01719.1993. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 31.Tehovnik EJ, Slocum WM, Carvey CE, Schiller PH. Phosphene induction and the generation of saccadic eye movements by striate cortex. Journal of Neurophysiology. 2005;93(1):1–19. doi: 10.1152/jn.00736.2004. [DOI] [PubMed] [Google Scholar]
- 32.Civillico EF, Contreras D. Comparison of responses to electrical stimulation and whisker deflection using two different voltage-sensitive dyes in mouse barrel cortex in vivo. Journal of Membrane Biology. 2005;208(2):171–182. doi: 10.1007/s00232-005-0828-6. [DOI] [PubMed] [Google Scholar]
- 33.Logothetis Nikos K, Augath Mark, Murayama Yusuke, Rauch Alexander, Sultan Fahad, Goense Jozien, Oeltermann Axel, Merkle Hellmut. The effects of electrical microstimulation on cortical signal propagation. Nat Neurosci. 2010;13(10):1283–1291. doi: 10.1038/nn.2631. [DOI] [PubMed] [Google Scholar]
- 34.Ohara Shinji, Weiss Nirit, Lenz Fred A. Microstimulation in the region of the human thalamic principal somatic sensory nucleus evokes sensations like those of mechanical stimulation and movement. Journal of Neurophysiology. 2004;91(2):736–745. doi: 10.1152/jn.00648.2003. [DOI] [PubMed] [Google Scholar]
- 35.Patel S, Ohara S, Dougherty PM, Gracely RH, Lenz FA. Psychophysical elements of place and modality specificity in the thalamic somatic sensory nucleus (ventral caudal, vc) of awake humans. Journal of Neurophysiology. 2006;95(2):646–659. doi: 10.1152/jn.00756.2005. [DOI] [PubMed] [Google Scholar]
- 36.Grill Warren M, Simmons Adam M, Cooper Scott E, Miocinovic Svjetlana, Montgomery Erwin B, Baker Kenneth B, Rezai Ali R. Temporal excitation properties of paresthesias evoked by thalamic microstimulation. Clinical Neurophysiology. 2005;116(5):1227–1234. doi: 10.1016/j.clinph.2004.12.020. [DOI] [PubMed] [Google Scholar]
- 37.Histed MH, Bonin V, Reid RC. Direct activation of sparse, distributed populations of cortical neurons by electrical microstimulation. Neuron. 2009;63(4):508–522. doi: 10.1016/j.neuron.2009.07.016. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 38.McIntyre Cameron C, Grill Warren M. Selective microstimulation of central nervous system neurons. Annals of Biomedical Engineering. 2000;28(3):219–233. doi: 10.1114/1.262. [DOI] [PubMed] [Google Scholar]
- 39.Grill WM, Norman SE, Bellamkonda RV. Implanted neural interfaces: biochallenges and engineered solutions. Annual Review of Biomedical Engineering. 2009;11:1–24. doi: 10.1146/annurev-bioeng-061008-124927. [DOI] [PubMed] [Google Scholar]
- 40.Paxinos George, Watson Charles. The Rat Brain in Stereotaxic Coordinates. Academic Press; 1998. [DOI] [PubMed] [Google Scholar]
- 41.Lippert Michael T, Kentaroh Takagaki, Xu Weifeng, Huang Xiaoying, Jian-Young Wu. Methods for voltage-sensitive dye imaging of rat cortical activity with high signal-to-noise ratio. J Neurophysiol. 2007;98:502–512. doi: 10.1152/jn.01169.2006. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 42.Wang Qi, Webber Roxanna, Stanley Garrett B. Thalamic synchrony and the adaptive gating of information flow to cortex. Nat Neurosci. 2010;13(12):1534–1541. doi: 10.1038/nn.2670. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 43.Wong-Riley Margaret. Changes in the visual system of monocularly sutured or enucleated cats demonstrable with cytochrome oxidase histochemistry. Brain Research. 1979;171(1):11–28. doi: 10.1016/0006-8993(79)90728-5. [DOI] [PubMed] [Google Scholar]
- 44.Silverman Martin S, Tootell Roger BH. Modified technique for cytochrome oxidase histochemistry: increased staining intensity and compatibility with 2-deoxyglucose autoradiography. Journal of Neuroscience Methods. 1987;19(1):1–10. doi: 10.1016/0165-0270(87)90016-1. [DOI] [PubMed] [Google Scholar]
- 45.Wallace DJ, Sakmann B. Plasticity of representational maps in somatosensory cortex observed by in vivo voltage-sensitive dye imaging. Cerebral Cortex. 2008;18(6):1361–1373. doi: 10.1093/cercor/bhm168. [DOI] [PubMed] [Google Scholar]
- 46.Petersen Carl CH, Grinvald Amiram, Sakmann Bert. Spatiotemporal dynamics of sensory responses in layer 2/3 of rat barrel cortex measured in vivo by voltage-sensitive dye imaging combined with whole-cell voltage recordings and neuron reconstructions. J Neurosci. 2003;23(4):1298–1309. doi: 10.1523/JNEUROSCI.23-04-01298.2003. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 47.Millard DC, Wang Qi, Stanley GB. Nonlinear system identification of the thalamocortical circuit in response to thalamic microstimulation. Neural Engineering (NER), 2011 5th International IEEE/EMBS Conference on. 2011:1–4. [Google Scholar]
- 48.Chen Yuzhi, Geisler Wilson S, Seidemann Eyal. Optimal decoding of correlated neural population responses in the primate visual cortex. Nat Neurosci. 2006;9(11):1412–1420. doi: 10.1038/nn1792. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 49.Goldberg JM, Brown PB. Response of binaural neurons of dog superior olivary complex to dichotic tonal stimuli: some physiological mechanisms of sound localization. Journal of Neurophysiology. 1969;32(4):613–636. doi: 10.1152/jn.1969.32.4.613. [DOI] [PubMed] [Google Scholar]
- 50.Diamond Mathew E, von Heimendahl Moritz, Knutsen Per Magne, Kleinfeld David, Ahissar Ehud. “where” and “what” in the whisker sensorimotor system. Nat Rev Neurosci. 2008;9(8):601–612. doi: 10.1038/nrn2411. [DOI] [PubMed] [Google Scholar]
- 51.Bruno Randy M, Khatri Vivek, Land Peter W, Simons Daniel J. Thalamocortical angular tuning domains within individual barrels of rat somatosensory cortex. J Neurosci. 2003;23(29):9565–9574. doi: 10.1523/JNEUROSCI.23-29-09565.2003. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 52.Chen Li M, Friedman Robert M, Roe Anna W. Optical imaging of a tactile illusion in area 3b of the primary somatosensory cortex. Science. 2003;302(5646):881–885. doi: 10.1126/science.1087846. [DOI] [PubMed] [Google Scholar]
- 53.Benoit Margo McKenna, Raij Tommi, Lin Fa-Hsuan, Jskelinen Iiro P, Stufflebeam Steven. Primary and multisensory cortical activity is correlated with audiovisual percepts. Human Brain Mapping. 2010;31(4):526–538. doi: 10.1002/hbm.20884. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 54.Butovas S, Schwarz C. Spatiotemporal effects of microstimulation in rat neocortex: A parametric study using multielectrode recordings. Journal of Neurophysiology. 2003;90(5):3024–3039. doi: 10.1152/jn.00245.2003. [DOI] [PubMed] [Google Scholar]
- 55.Grill WM, Mortimer JT. Inversion of the current-distance relationship by transient depolarization. IEEE Transactions on Biomedical Engineering. 1997;44(1):1–9. doi: 10.1109/10.553708. [DOI] [PubMed] [Google Scholar]
- 56.Koivuniemi AS, Otto KJ. Asymmetric versus symmetric pulses for cortical microstimulation. Neural Systems and Rehabilitation Engineering, IEEE Transactions. 2011 Oct;19(5):468–476. doi: 10.1109/TNSRE.2011.2166563. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 57.Haidarliu Sebastian, Ahissar Ehud. Size gradients of barreloids in the rat thalamus. The Journal of Comparative Neurology. 2001;429(3):372–387. doi: 10.1002/1096-9861(20010115)429:3<372::aid-cne2>3.0.co;2-3. [DOI] [PubMed] [Google Scholar]
- 58.Wimmer Verena C, Bruno Randy M, de Kock Christiaan PJ, Kuner Thomas, Sakmann Bert. Dimensions of a projection column and architecture of vpm and pom axons in rat vibrissal cortex. Cerebral Cortex. 2010;20(10):2265–2276. doi: 10.1093/cercor/bhq068. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 59.Simons DJ, Carvell GE. Thalamocortical response transformation in the rat vibrissa/barrel system. Journal of Neurophysiology. 1989;61(2):311–330. doi: 10.1152/jn.1989.61.2.311. [DOI] [PubMed] [Google Scholar]
- 60.Sherman SM, Guillery RW. Functional organization of thalamocortical relays. Journal of Neurophysiology. 1996;76(3):1367–1395. doi: 10.1152/jn.1996.76.3.1367. [DOI] [PubMed] [Google Scholar]
- 61.Miller Kenneth D, Pinto David J, Simons Daniel J. Processing in layer 4 of the neocortical circuit: new insights from visual and somatosensory cortex. Current Opinion in Neurobiology. 2001;11(4):488–497. doi: 10.1016/s0959-4388(00)00239-7. [DOI] [PubMed] [Google Scholar]
- 62.Grinvald Amiram, Hildesheim Rina. Vsdi: a new era in functional imaging of cortical dynamics. Nat Rev Neurosci. 2004;5(11):874–885. doi: 10.1038/nrn1536. [DOI] [PubMed] [Google Scholar]
- 63.Wall JT, Kaas JH. Long-term cortical consequences of reinnervation errors after nerve regeneration in monkeys. Brain Research. 1986;372(2):400–404. doi: 10.1016/0006-8993(86)91153-4. [DOI] [PubMed] [Google Scholar]
- 64.Tehovnik Edward J. Electrical stimulation of neural tissue to evoke behavioral responses. Journal of Neuroscience Methods. 1996;65(1):1–17. doi: 10.1016/0165-0270(95)00131-x. [DOI] [PubMed] [Google Scholar]
- 65.Bernstein Jacob G, Han Xue, Henninger Michael A, Ko Emily Y, Qian Xiaofeng, Franzesi Giovanni Talei, McConnell Jackie P, Stern Patrick, Desimone Robert, Boyden Edward S. Proceedings of the Society of Photo-Optical Instrumentation Engineers. San Jose, CA, USA: 2008. Prosthetic systems for therapeutic optical activation and silencing of genetically-targeted neurons; pp. 6854–68540H. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 66.Cruikshank Scott J, Urabe Hayato, Nurmikko Arto V, Connors Barry W. Pathway-specific feedforward circuits between thalamus and neocortex revealed by selective optical stimulation of axons. Neuron. 2010;65(2):230–245. doi: 10.1016/j.neuron.2009.12.025. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 67.LaLumiere Ryan T. A new technique for controlling the brain: optogenetics and its potential for use in research and the clinic. Brain Stimulation. 2011;4(1):1–6. doi: 10.1016/j.brs.2010.09.009. [DOI] [PubMed] [Google Scholar]