Abstract
Gamma activity arising from the interplay between pyramidal neurons and fast-spiking parvalbumin (PV) interneurons is an integral part of higher cognitive functions and is assumed to contribute significantly to brain metabolic responses. Cerebral metabolic rate of oxygen (CMRO2) responses were evoked by optogenetic stimulation of cortical PV interneurons and pyramidal neurons. We found that CMRO2 responses depended on neuronal activation, but not on the power of gamma activity induced by optogenetic stimulation. This implies that evoked gamma activity per se is not energy demanding. Optogenetic stimulation of PV interneurons during somatosensory stimulation reduced excitatory neuronal activity but did not potentiate O2 consumption as previously hypothesized. In conclusion, our data suggest that activity-driven CMRO2 responses depend on neuronal excitation rather than the cerebral rhythmic activity they induce. Excitation of both excitatory and inhibitory neurons requires energy, but inhibition of cortical excitatory neurons by interneurons does not potentiate activity-driven energy consumption.
Introduction
Fast-spiking (FS) parvalbumin (PV)-expressing interneurons are associated with the formation of network gamma oscillations (30–90 Hz),1–3 which are fundamental for cognition, perception and memory formation.4–6 Gamma activity results from the interaction between pyramidal neurons and FS PV interneurons, where PV interneuron synchronization creates “windows of opportunity” for pyramidal neuron spiking.1,2,7
Previous studies have indicated a strong link between the blood oxygen level-dependent imaging (BOLD) signal and the gamma component of the local field potential (LFP) band.8,9 In addition, more recent studies have described a link between gamma oscillations and the oxygenation of brain tissue where ultra-slow fluctuations enveloping the gamma band modulate vasomotion.10,11 Since PV interneurons are fast spiking, they have a greater energy demand than regular spiking neurons 12 and are dependent upon a continuous delivery of oxygen and glucose to provide sufficient amounts of adenosine triphosphate (ATP).13,14 It is thought that deficits of either oxygen or glucose supply to PV interneurons will decrease gamma activity. 15
Assessing oxygen consumption due to interneuron inhibition in intact neuronal networks is complicated by non-linear gain modulation of principal cell excitatory input, resulting in progressively increasing feedforward inhibition of PV interneurons with progressively increasing excitatory drive. 16 Increasing near-concomitant excitation and hyperpolarizing inhibition potentiates ion displacement across the cell membrane without necessarily affecting either spike rate or membrane potential. 17 Due to the potentiated ion displacement, increasing excitation and inhibition concomitantly are hypothesized to augment oxygen consumption non-linearly. 17
PV interneurons may also play a role in generating stimulus-evoked cerebral blood flow (CBF) responses, as optogenetic stimulation of γ-aminobutyric acid GABAergic (γ-aminobutyric acid) interneurons induces CBF responses that are not due to disinhibition of surrounding pyramidal neurons.18–21 While some interneurons express vasoactive substances thought to contribute to stimulation-induced blood flow responses,19,22 no vasoactive substances are known to be released by PV interneurons. Nonetheless, some studies have shown that PV interneurons do influence blood flow and artery diameter.23,24
Taken together, PV interneurons appear to be centrally placed between gamma activity, brain oxygen consumption and CBF. In the present study, we examined the relationship between PV interneuron activity, gamma activity and brain oxygen use in vivo. Due to the high energy demands of PV interneurons generating gamma oscillations, we hypothesized that stimulation-induced network gamma oscillations determine CMRO2. We found that in vivo optogenetic stimulation of PV interneurons expressing channelrhodopsin-2 (ChR2) did induce CMRO2 responses and did so independently of pyramidal neuron or other interneuron involvement. Whisker pad stimulation of pyramidal neurons induced gamma activity that was halved by concurrent optogenetic stimulation of PV interneurons, while CMRO2 responses remained unchanged. Thus, gamma oscillations per se did not evoke greater oxygen consumption than the activity of the constituent neurons of the gamma circuit. We also examined the notion that concurrent excitation and inhibition evoke a larger ion flux than the sum of ion fluxes evoked by excitation and inhibition separately, which is the basis of the non-linear gain modulation of principal cell excitation. We found that the excitation-inhibition balance of the neural network was an important determinant of CMRO2 response amplitude to whisker pad stimulation and that CMRO2 responses could not be used as an indirect measure of stimulus-evoked ion flux.
Materials and methods
Animal handling
All procedures involving animals were approved by the Danish National Committee according to the ARRIVE guidelines and those set forth in the European Council’s Convention for the Protection of Vertebrate Animals used for Experimental and Other Scientific Purposes. Mutant knock-in transgenic mice expressing ChR2 25 in either parvalbumin positive interneurons (PV/ChR2 mice, n = 9) or in Ca2+/calmodulin-dependent protein kinase IIα (CamKIIα) positive pyramidal neurons (Pyramidal/ChR2 mice, n = 9) were used. These mice were generated by cross-breeding B6.Cg-Gt(ROSA)26Sor™ 32 (CAG-COP4*H134R/EYFP)Hze/J with either B6.129P2-Pvalb™ 1 (cre)Arb /J or with B6.Cg-Tg(Camk2a-cre)T29-1Stl/J mice strains. All three strains (Jackson Laboratory, USA) were homozygous and F1 progeny of both sexes, 4–6 months old were used.
Animals were anaesthetized with xylazine + ketamine (induction: 10 + 60 mg/kg i.p., supplement: 30 mg ketamine/kg/20 min i.p.). The trachea and left femoral artery and vein were cannulated for mechanical ventilation (SAR-830/P, CWE, Pennsylvania, USA), for measuring arterial blood pressure and blood gases, and for infusion of anaesthesia, respectively. The head was secured with a metal plate glued to the scull (cyanoacrylate glue, Loctite®, Henkel, Germany + accelerator, Insta-Set®, Bob Smith Industries, CA, USA). A craniotomy (diam. 4 mm) was placed over the sensory barrel cortex (0.5 mm caudal, 3 mm lateral to bregma). After dura removal, the brain was covered with artificial cerebrospinal fluid (aCSF; in mM, NaCl 120, KCL 2.8, NaHCO3 22, CaCl2 1.45, NaHPO4 1, MgCl2 0.876, glucose 2.55, HEPES 10; pH = 7.4 at 22°C).
Following surgery, anaesthesia was switched to α-chloralose (α-chloralose-HBC complex, 0.5 g/ml, 0.01 ml/10 g/h i.v.) since ketamine is a N-methyl-D-aspartate receptor (NMDAR) antagonist. Ketamine is metabolized very quickly in mice, the half-life being approximately 13 min. 26 As the last dose of ketamine was given 30–60 min before initiation of the experimental protocol, we surmise that ketamine has had a minor, if any, effect on mouse responses. At the end of the experimental protocol, the mouse was immediately euthanized with ketamine (90 mg i.p.) followed by decapitation.
Blood pressure (BP-1, World Precision Instruments, FL, USA) and end expiratory CO2 (Capnograph type 340, Harvard Apparatus, MA, USA) were monitored continuously and two arterial blood samples were drawn to assess blood gases (ABL 700 Series, Radiometer, Denmark). Body temperature was maintained at 37°C using a rectal temperature probe and a heating blanket (TC-1000 Temperature Controller; CWE).
Stimulation protocol
All stimulations were controlled by a sequencer file driven by Spike2 software (version 7.2, CED, Cambridge, England). Three stimulation protocols were employed as follows.
Whisker-Pad stimulation (WP stimulation)
The mouse whisker barrel cortex was activated by stimulating the contralateral infraorbital branch of the trigeminal nerve (1.5 mA, 2 Hz, 1 ms, 15 s). A set of custom-made bipolar electrodes was inserted percutaneously into the infraorbital foramen (cathode) and the ipsilateral masticatory muscles (anode). Stimulation of the infraorbital nerve corresponds to stimulation of the entire ipsilateral whisker pad (Figure 1(e)).

Experimental setup. (a) A schematic of the experimental setup showing the placement of multichannel electrode measuring extracellular electrical activity, oxygen electrode measuring tissue oxygen partial pressure, optical fibre used to activate ChR2-expressing neurons with blue light (473 nm) and electrode in the whisker pad for infraorbital nerve stimulation. An optical fibre with red laser light (785 nm) and laser speckle camera used for measuring blood flow were positioned ∼9 cm above the craniotomy and are therefore not included in the schematic. The blue circle indicates the cortical area stimulated during optogenetic illumination. (b) A laser speckle image of the craniotomy, where the placement of the measuring electrodes and the optical fibre can be discerned in the lower left corner. (c–g) Schematics showing the stimulation types used in the present study. (c) Optogenetic PV stimulation: blue laser light directly activates PV interneurons. (d) Combined PV stimulation: WP stimulation excites pyramidal neurons and PV interneurons via thalamocortical afferents, while PV interneurons are additionally directly activated by blue laser light. (e) WP stimulation excites pyramidal neurons and interneurons via thalamocortical afferents. (f) Optogenetic Pyramidal stimulation: blue laser light directly activates pyramidal neurons. (g) Combined Pyramidal stimulation: WP stimulation activates pyramidal neurons and PV interneurons via thalamocortical afferents while pyramidal neurons are additionally directly activated by blue laser light. (h) A schematic of the experimental protocol showing the four stimulation periods interleaved with three periods in which treatment was applied and allowed to work. There was no wash-out between treatments. Thus, treatments were cumulative. The individual stimulation protocol is also shown with 30 s baseline before and 120 s recovery period after each 15 s stimulation train. (i–j) Typical CBF and CMRO2 responses showing how AUCCBF (i) and AUCCMRO2 (j) were calculated.
Optogenetic stimulation of PV interneurons or pyramidal neurons in the whisker barrel cortex (Optogenetic PV or Pyramidal stimulation)
A blue laser light-transmitting fibre (473 nm, 2 mW at the fibre tip; DL 473-050-O, CrystaLaser, NV, USA) was placed just above the whisker barrel cortex. Stimulation parameters for Pyramidal/ChR2 mice were 2 Hz, 100 ms, 15 s and for PV/ChR2, 100 Hz, 7.5 ms, 15 s (Figure 1(c) and (f)). The spatial distribution of photon density delivered by blue laser light (473 nm) in mouse whisker barrel cortex has previously been estimated using Monte Carlo simulation. These calculations reveal that beam power is reduced by ∼90% at cortical depth of 200 µm, 19 thus limiting optogenetic activation of ChR2 to L1 and L2/3.
Combined WP and optogenetic stimulation (Combined PV or Pyramidal stimulation)
In Pyramidal/ChR2 mice using combined sensory and optogenetic stimulation protocols, stimulation pulses occurred simultaneously. In PV/ChR2 mice using combined protocols, stimulation pulses were in phase but occurred simultaneously once out of every 50 pulses due to different stimulation frequencies (Figure 1(d) and (g)).
Experimental protocol
In PV/ChR2 mice, the three stimulation protocols were applied during control conditions, after the addition of NMDAR + α-amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid receptor (AMPAR) blockers (Dizocilpine hydrogen maleate (MK-801, 300 µM) + FG 9202 disodium salt hydrate (NBQX, 200 µM), after the addition of the GABAAR blocker (GABAzine (20 µM)), and lastly, after the addition of the voltage-sensitive Na+ channel blocker, Tetrodotoxin (TTX, 20 µM). The blockers were applied in a slightly different order in Pyramidal/ChR2 mice, the three stimulation protocols being given during control conditions, after the addition of MK-801 alone, after the addition of NBQX, and lastly, after the addition of TTX.
All blockers were applied topically to the cortex 20 min before stimulation commenced. For each combination of blockers, three WP stimulation trains, three combined stimulation trains and three optogenetic stimulation trains were applied in random order. Each stimulation train of 15 s was preceded by a 30 s baseline and followed by a 120 s recovery time (Figure 1(h)).
TTX was obtained from VWR International (Søborg, Denmark), all other substances were obtained from Sigma-Aldrich (Copenhagen, Denmark).
Electrophysiology
The total electrical signal (0.5–3000 Hz) was recorded with a vertical 16-channel linear multiarray probe with 50 µm between electrode sites (NeuroNexus, Michigan, USA) and a 16-channel amplifier (gain 1000×, bandwidth 1–10,000 Hz; PGA16, Multichannel system). The probe was inserted vertically into the barrel cortex with the top electrode at the level of the pial surface and the bottom electrode extending to a depth of 750 µm, encompassing the barrel cortex from layers 1 to 5. Electrical analogue signals were digitally sampled at 9000 Hz using a Power1401 mk II interface (CED, Cambridge, UK).
Extracellular local field potentials
To obtain LFPs, the total electrical signal was low-pass filtered at 300 Hz. The LFP for each stimulation train was averaged across stimulation impulses and LFP amplitude was taken as the greatest negative deflection occurring within 20 ms after the stimulus artefact. LFP amplitudes were then averaged across stimulation trains for each stimulation modality and treatment.
Gamma oscillations
To calculate the power of gamma oscillatory activity (30–90 Hz; gamma power), stimulus artefacts were removed from the total electrical signal. A Fourier transformation in Matlab (function bandpower) calculated the gamma power for each stimulation train and preceding 15 s of baseline in layer 2/3 corresponding to the cortical depth of 250 µm. Mean baseline and stimulation-evoked gamma powers were averaged across stimulation trains, then across mice, for each stimulation modality and treatment.
Laser speckle contrast imaging
Laser speckle contrast imaging (LSCI) was performed using infrared coherent light (785 nm, LP 785-SF 100, Thorlabs) controlled by a diode driver (CLD 1011, Thorlabs). Laser diode output power was 40 mW and illuminated area was approximately 4 cm2, resulting in the power density of approx 10 mW/cm2 at the surface of the cortex. 27 A CMOS camera (acA2000-165umNIR, Basler, Germany) equipped with a zoom lens (VZMTM 450i Zoom Imaging Lens, Edmund Optics, Germany) was used for signal collection. Exposure time was set to 4 ms and field of view to 800 × 800 pixels. Zoom was 1x leading to digital resolution of 5 µm per pixel. To prevent contamination of the laser speckle signal by laser light emitted during optogenetic stimulation, the lens was fitted with a red color filter with a cut-on wavelength of 600 nm (#46-539, Edmund Optics, Germany).
Raw data images were acquired at 25 fps. To estimate the so-called “blood flow index”, temporal laser speckle contrast analysis was applied, 28 resulting in the reduction of frame rate to 1 fps while preserving the spatial resolution of the raw data. Blood flow dynamics were averaged over a circular ROI (Ø 40 pixels) corresponding to the cortical area monitored by the multiarray probe and oxygen electrode.
Local tissue oxygen partial pressure (tpO2)
tpO2 was measured amperometrically in layer 2/3 at cortical depth of 250 µm using a modified Clark-type polarographic oxygen electrode (OX-10, tip diameter: 10 µm, field of sensitivity diameter: 20 µm; Unisense A/S, Denmark). The oxygen electrode was calibrated in air-saturated and oxygen-free saline (0.9%) at room temperature. The oxygen electrode was connected to a high-impedance picoamperemeter (PA 2000, Unisense A/S), and oxygen signals were A/D converted, sampled at 100 Hz using a Power 1401 A/D converter (CED) running with Spike2 software (CED), and averaged to give an effective sampling rate of 1 Hz.
Calculation of CMRO2
CMRO2 was calculated from tpO2 and CBF.29,30 The relationship between these three variables is given by
Immunohistochemistry
Immunohistochemistry was used to evaluate the co-expression of enhanced yellow fluorescent protein-tagged ChR2 with PV, respectively CaMKIIα, in the whisker barrel cortex. Deeply anaesthetized mice were perfused with 4% paraformaldehyde (PFA). The brains were post-fixed overnight in 4% PFA, transferred to 30% sucrose in 0.1 M phosphate buffered saline (PBS) for 2–3 days and sectioned (20 µm) with a cryostat. Free floating sections from PV/ChR2 mice were blocked with 0.3% Triton X-100 and 3% normal goat serum (NGS) in PBS for 1 hour at room temperature (RT) and incubated overnight at 4°C with the primary antibodies: anti-GFP (green florescent protein; chicken, 1:600, AB13970, Abcam) and anti-PV (rabbit, 1:1000, AB11427, Abcam). After washing, the sections were incubated with secondary antibodies for 2 h at RT: Alexa Fluor 647-conjugated goat anti-chicken antibody (1:600, A21449, ThermoFisher) and Alexa Fluor 568-conjugated goat anti-rabbit antibody (1:1000, A11036, ThermoFisher). A sequential protocol was employed for free floating sections from Pyramidal/ChR2 mice. Sections were blocked with 0.2% Triton X-100, 5% NGS and 2.5% bovine serum albumin in PBS for 1 h at RT, incubated 36 h at 4°C with anti-CaMKIIα primary antibody (rabbit, 1:50, SAB4503250, Sigma-Aldrich), extensively washed and incubated with Alexa Fluor 568-conjugated goat anti-rabbit antibody at RT for 2 h. Subsequently, the sections were incubated with anti-GFP primary antibody overnight at 4°C followed by incubation with Alexa Fluor 647-conjugated goat anti-chicken antibody for 2 h at RT. Sections were washed and mounted on glass slides (Superfrost Plus Gold, Menzel-Gläser, Thermo Scientifica) with Slowfade Diamond Antifade Mountant (Invitrogen). Hoechst (1:5000, H3570, Invitrogen) was added for 7.5 min during one of the washes. All antibodies were dissolved in the blocking solution of the mouse strain being evaluated. Images were captured using an upright laser scanning confocal microscope (LSM 700 or 710, Zeiss) at 20× or 63× magnification.
Calculations and statistics
Despite the cut-on filter preventing contamination of the laser speckle signal by light with wave lengths under 600 nm, we found that optogenetic stimulation of ChR2 triggered fluorescence of the fused enhanced yellow florescent protein (EYFP) and interfered with recordings from Pyramidal/ChR2 mice, but not PV/ChR2 mice. Accordingly, no data points for Pyramidal/ChR2 mice are shown during optogenetic stimulation in CBF and CMRO2 time lines. However, when quantifying time line curves for Pyramidal/ChR2 mice, areas under the curve (AUCs) included estimations of the responses during stimulation achieved by linearly interpolating the last baseline points with the first points after the termination of the optogenetic stimulation. This approach was adopted to be able to compare responses between stimulation modalities and between mouse strains.
CBF and CMRO2 is given as percent of baseline (% baseline) in time line plots and as % baseline*s in AUC graphs. AUC was calculated as the integral of the positive CBF or CMRO2 response from start of stimulation to return to baseline (Figure 1(i) and (j)).
Linear mixed effects modeling (MEM) analyses were performed in R using 33 functions lme4 34 or glmmPQL. 35 As the data comprised measurements from many time points from each animal, MEM was employed to account for the non-independence of the data. Treatment, stimulation type, and their interaction were included as fixed effects; mouse was included as random effect. Bonferroni corrections were applied to post hoc t-tests. α was taken as 0.05. Data are shown as mean ± standard deviation.
Results
Whisker pad stimulation involves a multisynaptic signalling pathway that initially targets L4 pyramidal neurons of the barrel cortex via the ventral posterior thalamic nucleus, and subsequently projects to L2/3 and L5.36,37 Thalamocortical as well as inter- and intracortical input to the barrel cortex is glutamatergic and is modulated by interneuronal GABAergic activity in the form of disinhibition, feedforward and feedback inhibition.16,38 Optogenetic stimulation bypasses the initial part of the somatosensory signalling pathway that leads to L4, L2/3 or L5 target cells and therefore interrogates post-target cell processing. In the present study, we have employed optogenetic activation of ChR2-expressing pyramidal neurons and PV interneurons as well as WP stimulation to investigate gamma generation and the relation between gamma activity, neuron and interneuron activation, and cortical oxygen use. Simultaneous activation of pyramidal neurons by WP stimulation and PV interneurons by optogenetic stimulation was employed to evaluate the effect of inhibitory input on excitation. CMRO2 responses were taken as expression of the workload necessary to restore ionic gradients after depolarisation.
Characterization of cells containing channelrhodopsin
To directly activate neurons and interneurons that are part of the sensory input processing pathway, we employed two mouse lines, one with ChR2-expressing PV interneurons (PV/ChR2), the other with ChR2-expressing pyramidal neurons (Pyramidal/ChR2). In both mouse strains, ChR2 was tethered to EYFP. In PV/ChR2 brains, >90% of PV interneurons expressed EYFP-conjugated ChR2, while all cells expressing EYFP-conjugated ChR2 were PV interneurons (Figure S1(d) to (f)). In Pyramidal/ChR2 brains, EYFP staining was extensive due to labelling of the ubiquitous processes of pyramidal neurons and EYFP rings representing ChR2 in pyramidal neuron somata were not distinguishable (Figure S1(b)). Pyramidal/ChR2 neurons were found in all neocortical layers from L2/3 to L5 (Figure S1(a)). Large, intensely staining Pyramidal/ChR2 somata were found in L2/3. Smaller, less intensely staining Pyramidal/ChR2 somata were found in L4, although the density of Pyramidal/ChR2 somata was the same in both layers (Figure S1(g) and (i)). PV interneurons displaying equal EYFP intensity were evenly distributed across all neocortical layers (Figure S1(h) and (i)).
Optogenetic stimulation of PV interneurons or pyramidal neurons under control conditions induces O2 use and increases local blood flow
The whisker barrel cortex was activated in three ways, by (1) direct optogenetic activation of either PV interneurons or pyramidal neurons (Optogenetic PV or Optogenetic Pyramidal stimulation, Figure 1(c) and (f)), (2) somatosensory stimulation of the contralateral whisker pad (WPPV or WPPYR stimulation, Figure 1(e)) or (3) combined direct optogenetic activation and concurrent WP stimulation targeting the whisker barrel cortex of the same hemisphere (Combined PV or Pyramidal stimulation, Figure 1(d) and (g)). Note that in the case of Combined PV stimulation, both PV interneurons and pyramidal neurons were activated, while in the case of Combined Pyramidal stimulation, only pyramidal neurons were activated (see the Materials and methods section).
In control conditions, we found that stimulation of PV interneurons or pyramidal neurons using any of the three stimulation types evoked robust metabolic (Figure 2(c) and (d)) and neurovascular responses (Figure 2(a) and (b)). Optogenetic activation of PV interneurons during Combined PV stimulation diminished the gamma activity evoked by whisker pad stimulation (compare WPPV vs Combined PV stimulation, Figure 2(e)), confirming that the output of PV interneurons induces inhibition. Likewise, Combined PV stimulation evoked LFP amplitudes that were half as large as those induced by WPPV stimulation (Figure 3(a) and (d)), indicating that Combined PV stimulation induced less net excitation of pyramidal neurons compared to WPPV stimulation. Interestingly, Combined PV stimulation and WPPV stimulation evoked CMRO2 responses of equal magnitude, despite the greater inhibition during Combined PV stimulation (Figure 2(c)).

Evoked CBF, CMRO2 and gamma frequency activity during control conditions in PV/ChR2 mice and Pyramidal/ChR2amidal mice. Evoked CBF responses in (a) PV/ChR2 mice and (b) Pyramidal/ChR2 mice. Left panels (a, b) show CBF time courses during optogenetic, WP and combined stimulations and right graphs (a, b) show the corresponding calculated AUCCBF. Note the biphasic CBF response to optogenetic stimulation in PV/ChR2 mice, which peaks ∼21 s after the CBF responses to WP and Combined PV stimulations. Evoked CMRO2 responses in (c) PV/ChR2 mice and (d) Pyramidal/ChR2 mice. In graphs (c) and (d), left panels show CMRO2 time courses during optogenetic, WP and combined stimulations and right panels show the corresponding calculated AUCCMRO2. Evoked gamma activity in (e) PV/ChR2 mice and (f) Pyramidal/ChR2 mice during baseline (to the left) and stimulation (to the right). The CBF and CMRO2 stimulation time courses are averaged across animals. Each CBF time course was extracted from a ROI (40 pixels in diameter) placed next to the insertion points of the oxygen electrode and the multichannel electrode in the laser speckle recordings and used for calculating CMRO2 time courses, AUCCBF and AUCCMRO2. Green fields represent 15 s stimulation trains. We were not able to register the CBF signal during optogenetic stimulation in Pyramidal/ChR2 mice (graphs (b) and (d) to the left) and therefore the CBF and CMRO2 responses are not depicted (see the Materials and methods section). All data are presented as mean ± SD. n = 9 for all groups. Significant difference is shown by asterisk(s): *P < 0.05, **P < 0.01 and ***P < 0.005.

Local field potentials during control conditions in PV/ChR2 and Pyramidal/ChR2 mice and during all treatments in Pyramidal/ChR2 mice. (a, d) In PV/ChR2 mice in control conditions, LFP amplitude evoked by WP stimulation was significantly reduced by simultaneous optogenetic stimulation of PV interneurons (Combined PV stimulation), demonstrating that optogenetic stimulation activated PV interneurons and increased inhibitory input to pyramidal neurons. Combined PV stimulation gave a jagged LFP trace due to the optogenetic stimulation frequency of 100 Hz. (b, e) In Pyramidal/ChR2 mice in control conditions, optogenetic stimulation of pyramidal neurons (impulse duration, 0.1 s) evoked a rapid deflection which partially decayed during illumination followed by a slight rebound hyperpolarization after termination of the stimulus. The same response pattern was seen during Combined Pyramidal stimulation. WP stimulation-evoked LFPs from the same mice is also shown. WP stimulation-evoked LFP amplitudes from the two mouse strains were not significantly different. (c, f) In Pyramidal/ChR2 mice, blocking NMDAR reduced LFP amplitude and greatly so after the subsequent application of AMPAR blocker. LFP amplitude was not altered by the further application of TTX. We surmise that LFP in the presence of TTX represents the opening and gradual closing of ChR2 pores.
Optogenetic activation of pyramidal neurons and Combined Pyramidal stimulation induced substantial CMRO2 responses. In contrast, CMRO2 responses to WPPyr stimulation were smaller (WPPyr vs Optogenetic Pyramidal: p = 0.048, WPPyr vs Combined Pyramidal: p = 0.014), although all three stimulation types targeted pyramidal neurons of the same whisker barrel cortex. This finding may reflect either greater numbers of activated neurons or greater ion fluxes in activated neurons during Optogenetic Pyramidal neuron activation and Combined Pyramidal stimulation, which is indicated by the greater evoked gamma activities and LFPs during Optogenetic Pyramidal and Combined Pyramidal stimulations than during WPPyr stimulation (Figures 2(f), 3(b) and (d)).
Thus, we found that under control conditions, optogenetic activation of PV interneurons evoked substantial CMRO2 and CBF responses without evoking gamma activity; that evoked CMRO2 responses and gamma activity were proportional during whisker pad stimulation or optogenetic activation of pyramidal neurons alone; and that activation of pyramidal neurons and PV interneurons together disrupted this relation evoking less gamma activity without diminishing CMRO2 responses.
Optogenetic PV stimulation, WPPV stimulation and Combined PV stimulation all evoked greatly different CMRO2 responses, evoked LFP amplitudes and gamma activities, while evoking CBF responses of the same amplitude and AUCCBF (Figure 2(a), Figure S2(a)). Notably, CBF responses evoked by Combined PV stimulation were not less than CBF responses evoked by WPPV stimulation alone despite decreased gamma activities and LFP amplitudes (described above), implying that mechanisms distinct from postsynaptic excitation determine CBF response magnitude. Also, the time course of CBF responses differed between Optogenetic PV and WPPV stimulations. Optogenetic PV stimulation evoked a biphasic CBF response (Figure 2(a)), which reached its maximum 21.0 ± 3.4 s later than the monophasic CBF responses evoked by WPPV stimulation (Figure S2(b)). In contrast, the CBF responses in Pyramidal/ChR2 mice to all stimulation types in control conditions paralleled the CMRO2 responses (Figure 2(b)). Since there was no difference between Optogenetic Pyramidal and Combined Pyramidal responses, we will from now on only refer to Optogenetic Pyramidal stimulation results. WP stimulation evoked unequal CBF responses in the two mouse strains, (WPPV vs WPPYR, p = 0.039; Figure 2(a) and (b)), although the WP stimulation-evoked LFPs in the two strains were statistically not different (p = 0.139; Figure 3(c) and (d)). Thus, although the excitatory input to pyramidal neurons in PV/ChR2 and Pyramidal/ChR2 mice was similar, post-synaptic processing of the signal leading to vasodilation in the two mouse strains differed.
Blockade of NMDAR, AMPAR and GABAAR potentiated O2 use while blockade of voltage-gated Na+ channels abolished it in PV/ChR2 mice
To ensure that the responses described above represent innate properties of PV interneurons and not neuronal interactions, we applied iGluR and GABAAR blockers (MK801+NBQX and GABAzine, respectively) topically to the brain to inhibit collateral stimulation, inhibition and disinhibition. Lastly, we applied TTX to block voltage-gated Na+ channels and inhibit action potentials. We found that the CMRO2 and CBF responses to Optogenetic PV stimulation were not by-products of interneuron or pyramidal neuron interactions as these responses were also present during ionotropic glutamate receptors (iGluR)+GABAAR blockade (Figure 4(a) and (b)). Thus, PV interneuron activity per se was found to be energy demanding and able to induce CBF responses.

Evoked CMRO2, CBF and gamma power responses during blockade of NMDAR, AMPAR, GABAAR and Na+ channels in PV/ChR2 mice. Optogenetic PV stimulation-evoked CBF, CMRO2 and gamma power responses in (a–c), WP stimulation-evoked CBF, CMRO2 and gamma power responses in (d–f) and Combined PV stimulation-evoked CBF, CMRO2 and gamma power responses in (g–i). CBF and CMRO2 responses are calculated as AUC. The evoked gamma power responses shown are calculated as the gamma power responses minus baseline gamma values. Ionotropic GluR blockade abolished evoked gamma power for all stimulation types (c, f, i) and abolished CBF and CMRO2 responses to WP stimulation (d, e). Ionotropic GluR+GABAAR blockers augmented and subsequent TTX abolished both CBF and CMRO2 responses to Optogenetic PV and Combined PV stimulation. Data are presented as mean ± SD. n = 9 for all groups. Significant differences are shown by asterisk(s): *P < 0.05, **P < 0.01 and ***P < 0.005.
In PV/ChR2 mice, iGluR blockade significantly increased CMRO2 and CBF responses to Optogenetic PV stimulation (Figure 4(a) and (b)). In contrast, the CMRO2 and CBF responses to Combined PV stimulation during iGluR blockade were not significantly potentiated (Figure 4(g) and (h)). Ionotropic GluR blockers abolished all responses to WPPV stim indicating that NMDAR and AMPAR activation was indeed suppressed (Figure 4(d) and (e)). 39 Abolishing the GABAAergic inhibitory tonus further potentiated optogenetic CMRO2 and CBF responses, as this inhibitory tonus affects all cortical neuron types. Lastly, application of TTX nearly abolished CMRO2 and CBF responses to Optogenetic PV and Combined PV stimulations (Figure 4(a), (b), (g) and (h)), indicating the almost 100% dependence of these responses on voltage-gated Na+ channels.
Blockade of NMDAR and AMPAR increases the evoked CBF while the evoked O2 use is unchanged in Pyramidal/ChR2 mice
A slightly different treatment protocol was followed in Pyramidal/ChR2 mice. Initially, NMDAR blockade alone was applied to evaluate the relation between NMDAR and gamma activities. Following this, AMPAR blocker was added to achieve the same iGluR blockade as in PV/ChR2 mice and lastly, TTX was applied. We found that blocking NMDAR alone did not significantly affect CMRO2 or CBF responses to either optogenetic or WP pyramidal neuron activation, but did reduce LFP amplitude by 17 and 26% (Figure 3(f); LFPWP not shown) and gamma activity by 23 and 37% (see below; Figure 5(a) to (f)). Ionotropic GluR blockade abolished CBF or CMRO2 responses to WP stimulation in Pyramidal/ChR2 mice as expected (Figure 5(d) and (e)). In contrast, it potentiated the CBF response to Optogenetic Pyramidal neuron activation, but did not affect the corresponding CMRO2 response (Figure 5(a) and (b)). Ionotropic GluR blockade reduced the evoked LFP amplitude to Optogenetic Pyramidal neuron activation and WP stimulation by 60% and 67%, but further application of TTX did not reduce LFP amplitude significantly (Figure 3(f); LFPWP not shown). TTX only slightly reduced the CBF responses to Optogenetic Pyramidal stimulation (Figure 5(a)), but reduced the corresponding CMRO2 response to Optogenetic Pyramidal stimulation by two-thirds (Figure 5(b)). Thus, a mismatch between CBF and CMRO2 responses to Optogenetic Pyramidal stimulation was found in Pyramidal/ChR2 mice. The small TTX-induced reduction in CBF suggests a minor dependency of these neurons on voltage-gated Na+ channels and that a large part of pyramidal neuron oxygen consumption is devoted to restoring ionic gradients after ChR2 channel opening.

Evoked CMRO2, CBF and gamma power responses during blockade of NMDAR, AMPAR and Na+ channels in Pyramidal/ChR2 mice. Optogenetic Pyramidal stimulation-evoked CBF, CMRO2 and gamma power responses in (a–c), WP stimulation-evoked CBF, CMRO2 and gamma power responses in (d–f) and Combined Pyramidal stimulation-evoked CBF, CMRO2 and gamma power responses in (g–i). CBF and CMRO2 responses are calculated as AUC. The evoked gamma power responses shown are calculated as the gamma power responses minus baseline gamma values. Treatment with the NMDAR blocker MK801 decreased evoked gamma responses for all three stimulation types (c, f, i). Ionotropic GluR blockade increased evoked CBF responses to Optogenetic (a) and Combined (g) Pyramidal stimulation, while CMRO2 remained unchanged compared to controls (b, h). All evoked gamma responses were abolished by iGluR blockade (c, f, i). TTX reduced CMRO2 responses to Optogenetic and Combined Pyramidal stimulation (b, h), while CBF responses were unchanged compared to control values (a, g). Data are presented as mean ± SD. n = 9 for all groups. Significant differences are shown by asterisk(s): *P < 0.05, **P < 0.01 and ***P < 0.005.
Gamma activity was abolished with NMDAR and AMPAR blockade
We wondered if this difference in CBF and CMRO2 responses between the two mouse strains would be reflected in gamma activity. In both mouse strains, substantial gamma activity was only found when excitatory neurons were activated either by WP or Optogenetic Pyramidal stimulation 40 (Figure (2), (e) and (f); Figure 4(b) to (f)). In PV/ChR2 mice, optogenetic activation of PV interneurons during control circumstances reduced spontaneous, i.e. baseline, gamma activity as well as evoked gamma activity during WPPV stimulation (Figure 4(c), (f) and (i)), confirming that optogenetic activation of PV interneurons induces inhibition of surrounding pyramidal neurons. In Pyramidal/ChR2 mice, all three stimulation types evoked gamma responses (Figure 5(c), (f) and (i)), the smallest response being evoked by WPPyr stimulation, corresponding to the smaller CBF and CMRO2 responses in these mice. A slight but significant decrease in gamma activity was seen for all three stimulation types after NMDAR blockade in these mice (decrease of ∼29% when pooling all stimulation types, p = 4.69 × 10−5; Figure 5(c), (g) and (i)). For both mouse strains and all stimulation types, combined NMDAR and AMPAR blockade nearly abolished gamma responses and total electrical activity (data not shown), resulting in a large decrease in the ratio between gamma and electrical activity (0.5–90 Hz). We found a shift from higher to lower frequency activity during AMPAR+ NMDAR blockade and this shift was not altered by later treatments (Figure S4). These results demonstrate the necessity of pyramidal neuron activation for the induction of gamma activity.
Dissociation between oxygen consumption and gamma activity during optogenetic stimulation of PV interneurons and pyramidal neurons
To evaluate energy consumption of gamma activity, we plotted evoked CMRO2 responses as a function of gamma power (Figure 6). In Pyramidal/ChR2 mice, a linear relationship across treatments was found between WPPyr stimulation-evoked CMRO2 responses on the one hand and corresponding gamma power responses on the other (Figure 6(a)). The same proportionality between CMRO2 responses and gamma activity was found for Optogenetic Pyramidal stimulation during control conditions. During NMDAR blockade, this relationship was not affected as CMRO2 responses and gamma activity decreased proportionally, but during optogenetic stimulation in the presence of AMPAR blockade, gamma activity diminished greatly with no reduction in CMRO2. No relationship was found between optogenetically evoked CMRO2 responses and gamma responses in PV/ChR2 mice. Specifically, in PV/ChR2 mice, large CMRO2 responses were elicited by Optogenetic PV stimulation in the presence of iGluR+GABAergic blockers without evoking any gamma responses (Figure 6(b)). Thus, in both mouse strains, iGluR±GABAergic blockers revealed a dissociation between oxygen consumption and gamma activity.

CMRO2 as a function of gamma power. (a) In Pyramidal/ChR2 mice, a linear relation between CMRO2 and gamma power was seen during control conditions and NMDAR blockade, implicating NMDAR activity as a modulator of gamma power. AMPAR blockade disrupted this relation as gamma power was nearly abolished without altering CMRO2 responses (AMPAR response encircled). (b) In PV/ChR2 mice, WP and Combined PV stimulation produced equal CMRO2 responses, although the simultaneous stimulation of pyramidal neurons and PV interneurons during Combined PV stimulation inhibited gamma activity by more than 50%. No relationship between CMRO2 and gamma power in PV/ChR2 mice was evident.
Discussion
While several optogenetic studies have looked at CBF responses to interneuronal activation,18,19 only few studies have studied the corresponding CMRO2 responses. 21 These previous studies have employed a mouse strain in which ChR2 was expressed in all interneurons. In the present study, ChR2 expression was restricted to either PV interneurons or pyramidal neurons using two separate mouse strains. We report here that in control conditions, optogenetic stimulation targeting PV interneurons alone resulted in substantial CMRO2 as well as CBF responses. Notably, blocking iGluRs and GABAARs did not diminish response magnitude. On the contrary, in the presence of these blockers, optogenetic stimulation of PV interneurons evoked CMRO2 and CBF responses that were equally augmented compared to control conditions. In comparison, augmented CBF responses are not seen in the presence of iGluR and GABAAR blockers when all interneuron types are activated by optogenetic stimulation,18,21 in keeping with a stimulation-driven inhibitory action of non-PV interneurons on PV interneurons. The CMRO2 and CBF responses evoked by optogenetic stimulation of PV interneurons in the presence of iGluR and GABAAR blockers were almost abolished by subsequent application of TTX, indicating that these responses were dependent upon voltage-gated Na+ channels in agreement with the supercritical density of these channels in PV interneurons.41
CBF responses evoked by optogenetic stimulation of pyramidal neurons were also augmented by iGluR blockers. In contrast, application of TTX in the presence of iGluR blockers only slightly reduced the CBF response, suggesting that most of the CBF response to optogenetic stimulation of pyramidal neurons was due to cation flux through opened ChR2 pores. The CMRO2 response to optogenetic stimulation of pyramidal neurons differed from the CBF response in that it was not augmented by iGluR blockers and was to a great extent reduced by TTX, suggesting dependency upon opening of voltage-gated Na+ channels rather than ChR2 pores.
We established a model to explain our optogenetically evoked hemodynamic and metabolic responses based on neuronal connectivity16,38 (Figure 7). During control conditions, optogenetic stimulation directly activated channelrhodopsin-expressing neurons and interneurons and thereby indirectly excited or inhibited their target cells as shown by stimulation-evoked LFPs and gamma activities (Figure 7(a) and (b), top panels). During Optogenetic Pyramidal stimulation, application of iGluR blockers abolished recurrent excitation of neighboring pyramidal neurons and feedback inhibition from neighboring interneurons, as evidenced by the greatly reduced LFP amplitude and evoked gamma activity, respectively (Figure 7(b), bottom panel). Addition of TTX to iGluR blockers during Optogenetic Pyramidal stimulation had no further effect on stimulus-evoked LFP, indicating that iGluR blockade had indeed effectively prevented synaptic excitation of pyramidal neurons. The remaining LFP amplitude in the face of iGluR blockade+TTX was likely due to the optogenetically evoked opening of ChR2 pores. We were not able to obtain extracellular LFPs in response to Optogenetic PV stimulation with our experimental setup. However, we surmise that iGluR blockers prevented excitation of PV interneuron-targeting interneurons 42 (Figure 7(a), middle panel) and that subsequent application of GABAAR blockers abolished tonic inhibition and auto-inhibition of PV interneurons (Figure 7(a), bottom panel), as suggested by the step-wise augmentations of the CMRO2 and CBF responses to Optogenetic PV stimulation in the presence of these blockers.

Model of optogenetic stimulation-evoked neuronal and interneuronal activation based on neuronal connectivity patterns in L2/3–L4 of the whisker barrel cortex. Optogenetic PV stimulation shown in (a) and Optogenetic Pyramidal stimulation in (b). In control conditions, Optogenetic PV stimulation (a, upper panel) directly activates PV interneurons (blue wavy line), which in turn inhibit the sparse spontaneous activity of neighboring pyramidal neurons. Combined PV stimulation activates pyramidal neurons as well as PV and non-PV interneurons (not shown). During iGluR blockade (a, middle panel), only PV interneurons are activated both during Optogenetic PV and Combined PV stimulations, as iGluR blockade during Combined PV stimulation prevents recurrent activation of pyramidal neurons as well as activation of their targeted interneurons (not shown). Subsequently, GABAAR and iGluR blockade also blocks all inhibitory input via autoreceptors as well as from other PV and non-PV interneurons, potentiating PV interneuron activation during both Optogenetic PV and Combined PV stimulations (a, lower panel). In control conditions, Optogenetic Pyramidal stimulation activates pyramidal neurons directly, bypassing thalamocortical input (b, upper panel). Activation of pyramidal neurons activates PV interneurons, which in turn inhibit pyramidal neurons via recurrent feedback inhibition. This interaction is the basis of gamma activity. During iGluR blockade (b, lower panel), the recurrent feedback inhibitory loop is disrupted, preventing activation of PV interneurons and thereby inhibitory input to pyramidal neurons. Total activation of the system is likely not altered, as the lack of PV interneuron activation may be compensated by a corresponding increase in pyramidal neuron activation.
A prevailing notion concerning brain metabolism is that co-excitation and -inhibition of the same neuron augment cell energy use due to increased flux of both positively and negatively charged ions across the cell membrane; this increase in ion flux may occur with or without affecting neuronal output or transmembrane potential. 17 In the present study, Combined PV stimulation in which pyramidal neurons simultaneously receive excitatory input from whisker pad stimulation and inhibitory input from activated PV interneurons is therefore expected to allow greater numbers of ions to cross the cell membrane compared to the sum of ions crossing the cell membrane during separate whisker pad stimulation and Optogenetic PV stimulation. CMRO2 is thought to represent the work load necessary to restore ion gradients after depolarization.13,14,43 In cells entirely dependent upon oxidative phosphorylation to supply energy demands, CMRO2 should thus reflect total transmembrane ion flux. In control conditions, we found that the CMRO2 response evoked by Combined PV stimulation which activated both pyramidal neurons and PV interneurons amounted to less than the sum of CMRO2 responses evoked by separate WP and Optogenetic PV stimulations. In contrast, LFPs evoked by Combined PV stimulation were half as large as those evoked by WP stimulation alone, indicating that net pyramidal neuron excitation was halved by inhibitory input from optogenetically activated PV interneurons. Note that the same population of excitatory pyramidal neurons were activated during both WP and Combined PV stimulations as whisker pad stimulation parameters were the same for both. A larger population of PV interneurons were likely activated during Combined PV stimulation as indicated by the decrease in LFP amplitude. However, in spite of the differences in inhibitory activity and the putatively enhanced transmembrane ion flux, the magnitudes of the CMRO2 responses to Combined PV stimulation and to WP stimulation were similar. We surmise that the expected increase in work load may be supported by increased glycolysis, or that an increase in transmembrane ion flux during concurrent excitation and inhibition does not occur.
Another conundrum was found during optogenetic stimulation of pyramidal neurons, where CMRO2 responses were not augmented by iGluR blockade, but CBF responses were, resulting in a mismatch between CMRO2 and CBF. As discussed above, in control conditions, the optogenetically evoked CBF response results from combined reciprocal excitation of pyramidal neurons and recurrent inhibition resulting from collateral activation of all interneuron types, while during iGluR blockade, the evoked CBF response results from excitation of pyramidal neurons alone. LFP amplitude representing net transmembrane ion flux in pyramidal neurons was more than halved by iGluR blockade. The reduction of LFP amplitude here did not indicate that pyramidal neurons received more inhibitory input, as recurrent inhibition was abolished by iGluR blockers. On the contrary, the reduction of LFP amplitude indicated that pyramidal neurons received less excitatory input, due to the lack of reciprocal excitation from neighboring pyramidal neurons. The reduction in excitatory input to pyramidal neurons during iGluR blockade compared to control conditions would be expected to generate a diminished CMRO2 response. However, CMRO2 was not altered by iGluR blockade despite the putative differences in total transmembrane ion flux. To summarize, Optogenetic Pyramidal stimulation during iGluR blockade evoked less inhibition as well as less excitation compared to control conditions. As described above, in control conditions Combined PV stimulation evoked increased inhibition compared to whisker pad stimulation. Nonetheless, CMRO2 remained constant during both procedures. These findings suggest one of the following: (1) that ATP for re-establishing ion gradients is not only supplied by oxidative phosphorylation, but also by aerobic glycolysis 44 ; or (2) that altering the excitatory/inhibitory current balance affects the per ion energy expenditure for re-establishing ion gradients; 45 or (3) that the numbers of translocated ions evoked by pyramidal neuron activation are not altered by varying inhibition levels. 17
Substantial gamma activity was only found when either somatosensory or Optogenetic Pyramidal neuron stimulation was included in the stimulation procedure, demonstrating the necessity of pyramidal neuron activation for the induction of gamma activity in vivo. Indeed, optogenetic stimulation of PV interneurons alone did not induce gamma activity, but did inhibit the little spontaneous gamma activity that was present in the anaesthesized state. Thus, in Pyramidal/ChR2 mice, both somatosensory and optogenetic activation of pyramidal neurons induced proportional gamma activity and CMRO2 responses, in line with previous studies showing that gamma oscillations modulate oxygenation of brain tissue.10,11 In keeping with previous studies, we found that NMDAR blockade reduced gamma activity and CMRO2 responses commensurably in these mice 46 and that AMPAR blockade disrupted the relationship between gamma activity and CMRO2, 1 greatly reducing gamma activity evoked by optogenetic stimulation of pyramidal neurons without affecting CMRO2. The dissociation between gamma activity and CMRO2 was likely due to AMPAR blockade preventing recurrent feedback inhibition as this interaction between pyramidal neurons and PV interneurons is thought to be the basis of gamma oscillations.1,2,7 Dissociated gamma activity and CMRO2 was also seen in PV/ChR2 mice, where robust CMRO2 and gamma responses were evoked in control conditions by WP and Combined PV stimulations. Both stimulation types induced the same CMRO2 responses, but decreased gamma activity was found during Combined PV stimulation, where increased inhibition levels were evoked by optogenetic activation of PV interneurons. Thus, gamma activity was reduced both by blocking AMPARs and by increasing inhibitory input to pyramidal neurons, in both cases without affecting CMRO2. Keeping in mind the caveats described above, these findings suggest that gamma activity per se is not energy consuming, but that the activities of the neuronal components comprising the gamma-inducing circuit are.8–11
In conclusion, we have found that Optogenetic PV stimulation per se was able to induce both CMRO2 and CBF responses independently of pyramidal neuron activation in good agreement with interneuron participation in neurovascular and -metabolic responses. 47 The CMRO2 and CBF responses to Optogenetic PV interneuronal activation were heavily dependent on the opening of voltage-gated Na+ channels. Our data did not support the notion that CMRO2 responses to excitation were potentiated by concurrent inhibition. 17 Lastly, we found that pyramidal neuron activity was necessary for the generation of gamma activity in vivo and that oxygen consumption is largely driven by neuronal activation and not by the synchronized interplay between neuron types, in the form of gamma activity, as has previously been suggested.
Supplemental Material
JCB882787 Supplemental Material - Supplemental material for Modification of oxygen consumption and blood flow in mouse somatosensory cortex by cell-type-specific neuronal activity
Supplemental material, JCB882787 Supplemental Material for Modification of oxygen consumption and blood flow in mouse somatosensory cortex by cell-type-specific neuronal activity by Matilda K Dahlqvist, Kirsten J Thomsen, Dmitry D Postnov and Martin J Lauritzen in Journal of Cerebral Blood Flow & Metabolism
Footnotes
Funding
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This study was supported by the Center for Healthy Aging, University of Copenhagen; the Lundbeck Foundation; the Novo-Nordisk Foundation; and the Danish Council for Independent Research.
Acknowledgements
The authors wish to thank Thomas Hartig Braunstein, PhD and Pablo Hernandez-Varas, PhD at the Center for Integrative Microscopy, University of Copenhagen for their great help with IHC imaging and image analyses; and Micael Lønstrup for his invaluable help with all technical support in the laboratory.
Declaration of conflicting interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Authors’ contributions
The research was designed by MD, KT and ML. Experiments were performed by MD and analysed by MD and KT. The laser speckle system was designed, programmed and implemented by DP. The article was prepared by MD, KT and ML. All authors have approved the article.
Supplementary material
Supplemental material for this article is available online.
References
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