Abstract
In this study functional ultrasound (fUS) imaging has been implemented to explore the local hemodynamic response induced by electrical epidural stimulation and to study real-time in vivo functional changes of the spinal cord, taking advantage of the superior spatiotemporal resolution provided by fUS. By quantifying the hemodynamic and electromyographic response features, we tested the hypothesis that the transient hemodynamic response of the spinal cord to electrical epidural stimulation could reflect modulation of the spinal circuitry and accordingly respond to the changes in parameters of electrical stimulation. The results of this study for the first time demonstrate that the hemodynamic response to electrical stimulation could reflect functional organization of the spinal cord. Response in the dorsal areas to epidural stimulation was significantly higher and faster compared to the response in ventral spinal cord. Positive relation between the hemodynamic and the EMG responses was observed at the lower frequencies of epidural stimulation (20 and 40 Hz), which according to our previous findings can facilitate spinal circuitry after spinal cord injury, compared to higher frequencies (200 and 500 Hz). These findings suggest that different mechanisms could be involved in spinal cord hemodynamic changes during different parameters of electrical stimulation and for the first time provide the evidence that functional organization of the spinal cord circuitry could be related to specific organization of spinal cord vasculature and hemodynamic.
Significance Statement Electrical epidural stimulation (EES) has been successfully applied to control chronic refractory pain and was evolved to alleviate motor impairment after spinal cord injury, in Parkinson’s disease, and other neurological conditions. The mechanisms underlying the EES remain unclear, and current methods for monitoring EES are limited in sensitivity and spatiotemporal resolutions to evaluate functional changes in response to EES. We tested the hypothesis that the transient hemodynamic response of the spinal cord to EES could reflect modulation of the spinal cord circuitry and accordingly respond to the changes in parameters of EES. The proposed methodology opens a new direction for quantitative evaluation of the spinal cord hemodynamic in understanding the mechanisms of spinal cord functional organization and effect of neuromodulation.
Introduction
Electrical epidural stimulation (EES) of the spinal cord has been implemented earlier to alleviate chronic pain and in the last decade, clinical trials have shown that EES can restore volitional, motor function in patients suffering spinal cord injury to some extent (references). Interestingly, participants on those trials have also experienced improvements in autonomic function, namely cardiovascular, sexual, and voiding, among others. Additionally, reports on other neurological conditions have shown benefits from EES [1–10]. Regardless the wide application of this technique, there is still limited understanding of the mechanisms of EES effect on spinal circuitry.
Computational models [1, 11, 12] and available in vivo and in vitro electrophysiological assessments [13–17] have shed some light on the potential components of neural circuits activated by EES, although, this information is limited and cannot provide deep insight into neurophysiologic mechanisms of EES effect. This is largely due to the absence of sensitive and reliable tools that could provide critical information about spatial-temporal activation of spinal circuits. For instance, current approaches aim to target the spinal circuitry by using neuromodulation with electrical, magnetic, or pharmacological influence, while using electrophysiological assessment for output measuring i.e. electromyography (EMG). This wide used recording technique provides one dimensional signal reflecting the electrical activity produced by skeletal muscles as a reflection of activation level of neural circuit and although useful, is susceptible to the noise generated by movements during breathing or during muscle contraction caused by electrical stimulation.
Functional neuroimaging techniques, such as fMRI, PET, and MEG are successful in mapping functional organization of the brain [20–22]; however, these methods have not yet been very effective in mapping organization of spinal cord due to challenging location and anatomy of the spinal cord. Recently, functional ultrasound imaging (fUS), a sensitive imaging modality with the use of plane-wave ultrasound illuminations at high frame rate, has achieved valuable spatiotemporal resolution to capture the transient hemodynamic response [23–26]. As an emerging novel technique, fUS has been successfully employed to investigate the transient changes in blood volume in the whole brain on animal models with better spatiotemporal resolution compared to the aforementioned functional brain imaging modalities [23, 24].
Previously we reported hemodynamic changes in the spinal cord during EES in two animal models as monitored by fUS. We also described that fUS offers a better sensitivity in mapping and quantifying hemodynamics in the spinal cord and quantifying the spinal cord activity during subthreshold-to-threshold motor responses produced by EES compared to electrophysiological assessment [25]. These results suggests that fUS can provide assessment of spinal circuitry at subthreshold level of stimulation, when only low threshold afferents are active, which significantly improves capacity to evaluate the spinal circuitry organization in vivo.
In this study we extend our previous observations and hypothesized that the spinal cord hemodynamic response to EES reflects a transient modulation of spinal cord circuitry and, accordingly, responds to the changes in parameters of electrical stimulation. In order to test this hypothesis, we evaluated the spinal cord hemodynamic response to the different frequencies, electrodes configurations, as well as different voltage intensities; and quantified the features of hemodynamic response, such as peak increase in blood volume change, the response rate, and the total amount of blood volume change over the time. With this study, we for the first time provide evidence that functional organization of the spinal cord circuitry is related to organization of spinal cord hemodynamic as revealed by implementation of a novel fUS approach.
Materials and Methods
Animal preparation procedure
Experiment procedures were approved by the Mayo Clinic Institutional Animal Care and Use Committee. The National Institutes of Health Guidelines for Animal Research (Guide for the Care and Use of Laboratory Animals) were observed rigorously. Animals were kept in controlled environment (21°C, 45% humidity) on a 12-h light/dark cycle with ad libitum access to water and food.
Eight male Sprague-Dawley rats (325-350 gr) were anesthetized with 1.5%-3% isoflurane. The spinal cord was exposed by removing lamina T13-L2 (corresponding approximately to L2 and S1 segments of the spinal cord). Teflon coated stainless steel wires were placed at T13 and L2 and then sutured on dura. A 0.5mm notch facing the spinal cord was made on the wires, serving as the stimulating electrode. The spine was fixed to minimize the breathing motion with a custom-made frame composed of a clamp holding the Th12 spinous process and two pieces retracting back muscles on both sides. In addition, the pelvic girdle was held with two rods secured over the coxal bones. Dorsal skin flaps were attached around the frame to form a pool facilitating transducer positioning. Warm saline solution (1.5 ml) was administered S.C. every 2 h. At the end of experiment, animals were euthanized using pentobarbital (150 mg/kg I.P.).
Experiment Setup
A Verasonics Vantage ultrasound system (Verasonics Inc., Kirkland, WA) and a Verasonic high frequency linear array transducer L22-14v (Verasonics Inc., Kirkland, WA) were used in this study to provide transmission waveforms with 15.625 MHz center frequency and 67% bandwidth. The transducer was placed between the T13 and L2 vertebrae with an ultrasound imaging field of view (FOV) align with the spinal cord and intersect with the central canal, as shown in Fig. 1(a) and 1(b). The transducer was fixed thoroughly throughout the experiment. Mineral oil was used as acoustic coupling between the spinal cord and ultrasound transducer.
To increase the imaging signal-to-noise-ratio (SNR), ultrafast compounding plane wave imaging sequence was used with five steered plane waves transmitted with each steering angle (−4°, −2°, 0°, 2°, 4°) for three repetitions [27]. With a pulse repetition frequency (PRF) of 28.6 kHz, it took 525 μs to complete the 15 transmissions. A no operation period of 1475 μs was added to the end of the 15 transmissions, to achieve a post-compounding PRF of 500 Hz. The total data recording time was 120 s with 200 ensembles in each second.
In the rat experiment, the stimulation protocol was set as 30 s baseline measurements, 20 s EES measurements, and 70 s recovery measurements. Five trials were repeated with the exactly same EES configurations.
ESS parameters and electrodes configurations
EES was delivered on the spinal cord of a rat at vertebrae levels T13 and L2. Different stimulation polarities, including monopolar and bipolar stimulations, were used. Monopolar stimulation was applied with the cathode (−) placed on the T13 spinal cord and anode (+) placed in rat’s back muscle. In bipolar stimulation, the anode and cathode electrodes were either placed on T13 and caudal L2 spinal cord segments (R+C−, “R” for rostral and “C” for caudal accordingly), or in L2 and T13 spinal cord segments (R-C+), respectively. Both low frequency ranges of EES (20 Hz and 40 Hz) and high frequency EES (200 Hz and 500 Hz) were used in this study and were chosen based on our previous findings with significantly variations of stepping performance with EES applied with these two frequencies in spinal rats [28–33]. Both sub-threshold intensity and supra-threshold intensity electrical stimulation were tested. Due to the difference in motor threshold across the animals, stimulation voltages were carefully selected based on real-time evaluation of EMG signal and gradual increase and decrease of intensity of EES. The supra-threshold intensity was determined by increasing the voltage to a maximum level at which stimulation produced a strong contraction, without tremble affecting the fUS imaging. The sub-threshold intensity was determined by decreasing the voltage to a subthreshold level where EMG signal was undistinguished from noise. A summary for the detailed EES parameters and electrode configurations can be found in Fig. 1(c).
Data Processing
After coherent compounding, B-mode ultrasound images were processed with phase correlation based sub-pixel motion registration [34] and singular-value-decomposition (SVD) based cluttering filtering [35, 36] to accumulate one frame of Power Doppler (PD) image in each second.
Ultrasound PD signal was measured at each imaging pixel to reflect the local blood volume. The spinal cord hemodynamic response to EES was evaluated by the spinal cord blood volume change (ΔSCBV), which defines the PD signal intensity variation along with the EES process in the unit of percentage,
A ΔSCBV response curve under an EES configuration was obtained by averaging the ΔSCBV response curve of each pixel inside a selected region of interest (ROI) and averaging all 5 repeated trials under this EES configuration. The ROIs used in this study include the whole ultrasound FOV, dorsal ROI, ventral ROI, rostral ROI, and caudal ROI. From a ΔSCBV curve, quantitative parameters, including the peak response, ascending slope of the response curve (response rate), and area under the curve (AUC) were measured, as illustrated in Fig. 2(a). Detailed data processing approach could be found in our previous study [25].
EMG signals from the tibialis anterior and gastrocnemius hind limb muscles were recorded simultaneously in experiments. The fluctuated zero-line of each EMG signal (Fig. 2(b)) was first extracted and then subtracted from the EMG signal (Fig. 2(c)). Then, the root mean square (RMS) of the EMG signal during EES and the RMS of background activity before EES were measured and ΔEMG was calculated in the unit of percentage, where RMSbaseline and RMSstim indicates the RMS of the signal during “Stim OFF” and “Stim ON” in Fig. 5(c). ΔEMG was averaged for the 5 repeated trials for each of the four hind limb muscles where EMG signals were recorded from. The largest ΔEMG among the four was selected to represent the neuromuscular electrophysiological change under the given EES.
Results
A. fUS is a sensitive tool in quantifying the subthreshold-to-threshold motor activation response to EES
During initial testing, we found that fUS offers valuable sensitivity in quantifying the hemodynamic response in the spinal cord during subthreshold EES, this is even when the amplitude of motor responses are not distinguishable from electrical noise in the EMG recording. A typical hemodynamic response to the sub-threshold EES intensity is shown in Fig. 3(a) and Supplemental video 1, where the ultrasound power Doppler (PD) images were color coded with the measured blood volume change, ΔSCBV. The corresponding ΔSCBV curve is shown in Fig. 3(b), from which an obvious hemodynamic response to the EES can be observed primary in the dorsal part of the spinal cord. At the same time, no statistically significant changes in the EMG signal were observed due to the sub-threshold intensity of EES (Fig. 3(c)).
EES voltage intensity inducing subthreshold level of motor responses varied across animals and for sub-threshold motor potentials evoked by EES, the intensity was determined by gradually decreasing the voltage from a readily observable EMG response to a subthreshold level with no obvious EMG signal. Among EMG recordings with sub-threshold EES, we applied an offline processing, where an EMG signal was considered as “silent EMG” only when its root mean square (RMS) increase of EMG signal to the baseline, ΔEMG, is lower than 8% (see Supplemental Fig. S1(a)). During experiments we collected 25 cases (a case means data collected from a given animal with a given EES parameter and electrode configuration) with sub-threshold EES, among which 8 cases met the criteria and considered as silent EMG. In these 8 cases EES was applied at sub-threshold level with frequencies of 20 Hz, 40 Hz, and 200 Hz, and also with monopolar electrode configurations, with bipolar R−C+ configuration, and with bipolar R+C− configuration. Similarly, a ΔSCBV with a peak response increase greater than 3% was considered reliable in hemodynamic response parameter measurements (see Supplemental Fig. S1(b)-1(c) and Supplemental video 2 and video 3). The peak response of the ΔSCBV curve was measured for the aforementioned 8 cases, where silent EMG signals were observed. Seven cases of the 8 exhibited obvious responses in fUS imaging with a peak response above the preset cutoff, as shown in Fig. 3(d), suggesting that evaluation of spinal cord hemodynamic with fUS is more sensitive compared to EMG monitoring during EES.
B. Spinal cord hemodynamic response to EES is spatially dependent
To evaluate the effect of EES-induced changes in blood volume in different regions of the spinal cord, ΔSCBV response curves and their response parameters were measured in selected spinal cord regions under various EES configurations. Figure 4(a) depicts typical color-coded hemodynamic response images at their peak blood volume increasing induced by EES with distinct parameters and electrode configurations (case number, n=4). The ultrasound FOV is divided in dorsal and ventral regions by the white dashed lines and to rostral and caudal regions by the green dashed lines.
B1. Dorsal vs. Ventral
Figure 4(b) and 4(c) show the peak response and AUC in the dorsal and ventral regions of the spinal cord, while Fig. 4(e) and 4(f) are the corresponding bar plots. Data shown in Fig. 4(b) and 4(c), also in Fig. 4(e) and 4(f), includes 8 rats’ responses induced by EES with sub-threshold and supra-threshold intensities, 20 Hz, 40 Hz, 200 Hz, and 500 Hz stimulation frequencies, and monopolar, bipolar R+C−, and bipolar R−C+ electrode configurations (case number, n=78). Each dot on Fig. 4(b) and 4(c) represents the dorsal vs ventral hemodynamic responses from the same rat with the same EES parameter and electrode configuration. Significant differences (paired t-test, p<0.001) were observed in both peak response and AUC between dorsal and ventral spinal cord regions, as illustrated in Fig. 4(e) and 4(f). A significant difference in response rate was also observed between dorsal and ventral regions (paired t-test, p<0.001) at almost all tested EES configurations, as shown in Fig. 4(d) and 4(g) (case number, n=78). Overall, the dorsal region of the spinal cord responded with a higher magnitude and a quicker response rate to the EES compared to the ventral region, independently to the tested stimulation configurations.
B2. Rostral vs. Caudal
To evaluate the role of electrode configurations in spinal cord hemodynamic response, rostral vs. caudal peak responses of ΔSCBV recorded with monopolar stimulation, bipolar R+C−, and bipolar R−C+ stimulation were compared (Fig. 4(h)). Rostral and caudal regions were defined with the middle line perpendicular to the spinal cord FOV, which was between the T13 and L2 vertebrae. Each dot in Fig. 4(h) represents the rostral versus caudal hemodynamic responses from the same rat with the same EES parameter and electrode configuration. Different colors represent cases with different electrode configurations. Results of Fig. 4(h) were recorded from 8 rats with sub-threshold and supra-threshold intensities, 20 Hz, 40 Hz, 200 Hz, and 500 Hz stimulation frequencies, and monopolar and bipolar electrode configurations (case number, n=78). No significant difference between rostral and caudal region was found for either configuration, indicating that the basic configurations of epidural electrodes have no significant influence on the spatial distribution of spinal cord hemodynamic response. At the same time, we observed that the rostral-caudal response pattern varied from animal to animal. Among the 8 tested rats, 5 showed significantly higher ΔSCBV response in the rostral region compared to the caudal region (paired t-test, p<0.001), while the rest of three rats showed significantly higher ΔSCBV response in caudal region compare to the rostral region (p<0.001), regardless of the electrode configuration (results not shown).
C. Spinal cord hemodynamic response to EES is frequency dependent
ΔSCBV peak responses with stimulation frequencies of 20 Hz and 40 Hz compared to stimulation frequencies of 200 Hz and 500 Hz were plotted as a function of ΔEMG, as shown in Fig. 5(a)-(b). Data presented on Fig. 5 were collected from 5 rats with bipolar EES configuration (R+C− and R−C+) and supra-threshold intensity (case number, n=14 and n=13 for Fig. 5(a) and 5(b) respectively). At low stimulation frequencies (20 and 40 Hz), ΔSCBV was positively correlated to ΔEMG (Fig. 5(a)), suggesting that at those frequencies, the spinal cord neuronal activity is related to the hemodynamic response. However, no positive relationship was found in either 200 Hz or 500 Hz (Fig. 5(b)). Figure 5(c) shows the response rate between 40 Hz and 200 Hz EES, chosen based on our previous findings [28–33]. Each data point in Fig. 5(c) represents the response rates measured from the two frequencies, but the same rat and the same electrode configuration (case number, n=13). Comparison of spinal cord hemodynamic response during 40 Hz and 200 Hz indicates that the spinal cord blood flow increases at 40 Hz stimulation significantly faster than at 200 Hz (paired t-test, p<0.001) (Fig. 3(c)).
Discussion
The results of this study for the first time show differential hemodynamic responses in dorsal vs. ventral spinal cord during EES evidenced by fUS. We found specific features related to parameters of stimulation: (1) even at low stimulation intensities (subthreshold to EMG response), EES induced clear hemodynamic changes in the dorsal, but not ventral spinal cord, even though the EMG output was silent, which may indicate on critical role of the dorsal horn neurons cumulatively processing a greater amount of the sensory information from dorsal roots afferents compared to low threshold muscle afferent activating the motoneurons and premotor interneurons; (2) significantly higher and faster hemodynamic responses in dorsal regions compared to the ventral spinal cord, and (3) significant differences in spinal cord hemodynamic responses at low and high stimulation frequencies, with a positive relation between the hemodynamic and the EMG response observed at lower frequencies (20 Hz and 40 Hz), but not at higher frequencies (200 Hz and 500 Hz). These results support our initial observation that evaluation of spinal cord hemodynamic provides significantly higher sensitivity compared to in vivo electrophysiological assessment, such as EMG monitoring.
Motor threshold responses during EES were determined based on EMG amplitude, which was higher than background level of activity, so results with ΔEMG lower than a given cutoff were considered as silent EMG data (Supplemental Fig. S1(a)). As we demonstrate in this study, EES facilitated hemodynamic response primary in dorsal regions of spinal cord, regardless of parameters and electrodes configurations, which further support high sensitivity of fUS in evaluation of local changes in the spinal cord during EES. This further suggests that evaluation of spinal hemodynamic changes may help in optimizing electrodes location and expanding our understanding of the mechanisms of spinal cord neuromodulation and spinal cord functional organization.
The observed hemodynamics changes are likely correlated with spinal cord functional neuroanatomy and particularly with specific organization of vasculature for the dorsal and ventral spinal cord. The ventral part of the spinal cord has predominantly segmental organization, arranged as a string of beads, while the dorsal regions are usually arranged as one solid column, although varying in thickness at different levels [37–39]. This specific anatomical organization of the spinal cord vasculature and unique distribution of dorsal and ventral spinal arteries, to some extent divides the spinal cord into two functionally different areas of hemodynamics [40, 41], which could to some extent explain different response of the dorsal vs. ventral parts to EES. Although, this unique anatomical difference in organization of the spinal cord vasculature has been known for years, the results of this study for the first time show that similar difference exists in functional organization of the dorsal vs. ventral parts of the spinal cord.
Interestingly, in this study the orientation of electric field adjusted by variations in polarity of stimulating electrodes did not induce significant changes in spinal cord hemodynamics, as shown in Fig. 2(h), although the rostral-caudal distribution of hemodynamic response was variable between tested animals, which could be due to the two-dimension-sectional nature of fUS FOV, which images one longitudinal cross-section of the spinal cord, considering the 3mm spinal cord diameter is thicker than the elevational resolution of the high-frequency transducer used in the study.
The results of this study suggest that fUS has relatively high spatial and temporal resolution in monitoring the localized hemodynamic response at different spinal cord segments [25]. Although other functional imaging modalities, such as PET and fMRI, have their distinct advantages, such as high sensitivity and excellent imaging contrast and imaging depth, their spatial and/or temporal resolution are far below what is required for evaluation of the spinal cord functional changes, particularly during neuromodulation with EES. For instance, the imaging FOV of the presented fUS images was 9.9 mm ×12.8 mm with a spatial resolution of 98.56 μm (the wavelength of ultrasound pulses, as well as the pixel size of fUS image) and a temporal resolution of 500 Hz. In contrast, typical spatial resolution of fMRI is 1.5 mm −3 mm. fMRI with a 7 Tesla machine reaches a spatial resolution of 750 μm by sacrificing the tSNR and detecting sensitivity [42, 43]. In addition, the size of MR or PET machine can be prohibitive for an intraoperative monitoring. Although functional neuroimaging techniques including EEG and MEG have very high temporal resolution, they could not be applied to study the stimulation related hemodynamic response, where fUS is able to complement.
Factors such as temperature change, autonomic regulation, strenuous activities, etc., may also induce changes in spinal cord blood flow, which can be detected by fUS. Our previous study [25] demonstrated that during background fUS recording of the spinal cord without electrical stimulation no increase of blood flow signal was observed across multiple trials.
The results of this study for the first time emphasize a coupling between the spinal cord hemodynamics and spinal circuits activated by EES at low frequencies (20 Hz – 40 Hz) compared to high frequencies (200 Hz – 500 Hz) and support the hypothesis that the modulation in parameters of EES may activate different mechanisms and/or different components of the spinal circuitry. Similar results were presented earlier [44] where the cerebral blood flow in rat somatosensory cortex was found to be highly correlated to the field potentials of electrical stimulation on the infraorbital nerve at low frequencies (<2 Hz) and uncoupling at stimulation frequencies of 2– 5 Hz. Although the frequency range in both studies is different that could be due to the different parts of the nervous system and different neural organization. A coupling between the spinal cord hemodynamics and the neuronal activity facilitated at frequency range 20 Hz – 40 Hz is supported by our early findings where facilitation of the spinal circuitry to maintain optimal stepping pattern was successfully achieved with epidural stimulation at the similar frequency range [28–33, 45]. Although current results may not be sufficient to draw a certain conclusion regarding how particular frequency modulates the spinal cord circuitry, the mechanisms responsible for this effect can be evaluated in future studies by selective stimulation of spinal structures and peripheral nerves or by comparing the effect of EES with pharmacological activation or inhibition of the different components of spinal network.
The results of this study also support a great potential of fUS as a research tools to study spinal cord and as a potential diagnostic tool with several critical clinical applications. Currently, there is no available technique that could evaluate functional changes in spinal cord in real time and fUS technique with miniaturized transducer size can be implemented for real-time and long-term monitoring. Spinal cord fUS could also help in evaluation of hemodynamic response during electrode implantation to optimize leads location for neuromodulation therapies and for intraoperative monitoring, which cannot be achieved by other functional imaging modality, such as fMRI or PET. fUS may also help to reveal important information about spinal cord circuitry activated during pharmacological interventions and different modalities of neuromodulation to tune dosage or stimulation parameters for more specific delivery of these therapies. The findings that subthreshold epidural stimulation can selectively increase hemodynamic in the dorsal areas of the spinal cord could also lead to development of novel combined pharmacological and neuromodulation treatments, where local pharmacological effect could be further enhanced by activation of local hemodynamic in target area. Spinal cord fUS can be also utilized to investigate the mechanism of pain development and effect of spinal cord neuromodulation, by characterizing associated neurovascular coupling [46–48]. Other potential applications could include evaluation of spinal cord ischemia and revascularization following SCI, local tumor growth, and others [49–51].
Conclusions
In summary, results of this study indicate that (1) the dorsal regions of the spinal cord have significantly higher and faster blood volume changes compared to ventral spinal cord region during EES, regardless of parameters and electrodes configurations; (2) spinal cord hemodynamic changes are more responsive to the low frequencies (20-40 Hz) of stimulation, at which ΔEMG and ΔSCBV were positively related, that was not observed at high EES frequencies (200-500 Hz), suggesting the frequency-dependent mechanism of spinal cord hemodynamic response; (3) hemodynamic changes recorded with fUS provide more sensitive approach for evaluation of the spinal cord response to neuromodulation compare to currently available in vivo electrophysiological techniques. This study for the first time explores the role of spinal cord hemodynamic in effect of EES and suggests that functional organization of spinal hemodynamics could be coupled with spinal neural circuitry. These findings support future development of neuromodulation techniques where the stimulation parameters, electrodes location, and the orientation of the electric field could be precisely tuned based on real-time evaluation of the local changes in spinal cord hemodynamic. Although the mechanisms of presented here findings need further investigations, spinal cord fUS opens a new direction for quantitative evaluation of spinal cord hemodynamic and understanding the spinal cord functional organization and the mechanisms of spinal cord neuromodulation.
Author contributions
S.T., C.C., P.S., S.C., R.I., and I.L. designed the experiment. S.T., C.C., P.S., R.I., P.G., U.L., and I.L. drafted the manuscript. S.T., C.C., P.S., R.I., C.H. collected experiment data. S.T. and P.S. wrote the algorithms for data processing. C.C., R.I., H.W., B.E.K. conducted the animal surgeries. All authors reviewed and participated in editing the manuscript.
SI Appendix – Video captions
Supplemental Video 1. Hemodynamic response with sub-threshold intensity
Supplemental Video 2. Hemodynamic response - below fUS cutoff
Supplemental Video 3. Hemodynamic response - above fUS cutof
Acknowledgement
Research reported in this publication was supported in part by the Minnesota State Office for Higher Education Spinal Cord Injury and Traumatic Brain Injury Research Grant Program (FP00098975 and FP00093993), by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities (No 17.9783.2017/8.9), and the National Cancer Institute (NCI) of the National Institutes of Health (NIH) under Award Number K99CA214523. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.
Footnotes
↵* Co-first authors