Abstract
Neural activity in the brain is followed by localized changes in blood flow and volume. We address the relative change in volume for arteriole vs. venous blood within primary vibrissa cortex of awake, head-fixed mice. Two-photon laser-scanning microscopy was used to measure spontaneous and sensory evoked changes in flow and volume at the level of single vessels. We find that arterioles exhibit slow (<1 Hz) spontaneous increases in their diameter, as well as pronounced dilation in response to both punctate and prolonged stimulation of the contralateral vibrissae. In contrast, venules dilate only in response to prolonged stimulation. We conclude that stimulation that occurs on the time scale of natural stimuli leads to a net increase in the reservoir of arteriole blood. Thus, a “bagpipe” model that highlights arteriole dilation should augment the current “balloon” model of venous distension in the interpretation of fMRI images.
Keywords: blood oxygen level-dependent functional MRI, neurovascular coupling, two-photon imaging, vasomotion, vibrissa somatosensation
Localized changes in the flow and volume of oxygenated blood in the brain are commonly used as a correlate of heightened neural activity. For two important imaging modalities, blood oxygen level-dependent functional magnetic resonance imaging (BOLD fMRI) (1) and intrinsic optical signal imaging (IOS) (2), the signals are generated by a complex interplay of the rate of oxidative metabolism, the flux of blood in the underlying angioarchitecture, and changes in vascular volume (3). The locus for the increase in vascular volume that follows sensory stimulation (i.e., arterioles or venules) is an enduring controversy that bears directly on interpreting and quantifying fMRI signals (4–6). To resolve this question, we used in vivo two-photon laser-scanning microscopy to image spontaneous and sensory evoked vascular dynamics in the vibrissa area of parietal cortex of awake, head-fixed mice. All data were collected through a reinforced thin-skull window (7) (Fig. 1A); this method obviates potential complications from inflammation or changes in cranial pressure that may occur with a craniotomy (8).
Results
Images of the pial surface and measurements of the diameter of the lumen of surface arterioles and venules were performed while the mouse sat passively (Fig. 1B). Dilations greater than 5% of the baseline diameter occurred with frequencies of 0.07 ± 0.05 Hz (mean ± SD, n = 118 arteries in six mice). The diameters of short segments of arterioles (red in Fig. 1B) exhibited relatively large spontaneous increases in the spectral range between 0.1 Hz and 1 Hz (Fig. 1 C and D). The peak amplitude of these fluctuations was 23% ± 10% of the initial vessel diameter across all arterioles, with instances of a 50% increases in diameter. Further, these low-frequency oscillations were strongly coherent and synchronous over a distance of several hundred micrometers across cortex (198 pairs of vessels, in six mice, that were separated by 20–315 μm; slope of coherence = 0.001 μm−1 [nonsignificant (NS)] and slope of phase shift = 0.0009 rad/μm (NS)) (red in Fig. 1E). In contrast, the coherence in fluctuations in diameter across midrange frequencies, defined as 1–3 Hz, was substantially reduced (red in Fig. 1E). Last, the slow spontaneous oscillations in arterial diameter seen in awake animals (Fig. 1C and Fig. S1) are greatly attenuated by urethane anesthesia (Fig. S2).
In contrast to the case for arteries, spontaneous changes in the diameter of surface venules are relatively small (Fig. 1 B and C and Fig. S2). The spectral content of these signals is similar to that seen for arterioles, although the amplitudes at low frequencies are substantially reduced (Fig. 1 C and D). Further, there was significant yet greatly reduced spatial coherence between pairs of venules (33 pairs of vessels), or even pairs of venules and arterioles (124 pairs of vessels), compared with pairs of arterioles in the 0.1- to 1-Hz range (Fig. 1D). The coherence at the midrange of frequencies remained low (Fig. 1E). We conclude that spontaneous fluctuations are relatively weak within the venous return from cortex, consistent with the dearth of contractile tissue in these vessels.
To examine the responses of cerebral vasculature to sensory stimuli, contralateral vibrissae were deflected with puffs of air; puffs aimed at the tail served as a control for general arousal (Fig. 2A). Repetitive stimulation for 30 s, similar to that used in fMRI experiments with anesthetized rodents (4) but much longer than the 0.5–2 s required for decision making in a vibrissa-based discrimination task with mice (9), caused a rapid and transient dilation of arterioles that was followed, on average, by a steadily increasing dilation (Fig. 2 A–C). The high variance of the latter dilation results in part from intermingled transient events (Fig. S3). The same stimulus caused only a slow distension in venules that was also substantially weaker than the distension in arterioles (Fig. 2 B and C); control puffs did not lead to sustained distension (Figs. S3 and S4). These changes do not result from a change in blood gases, which remained unchanged across the period of stimulation, with pCO2 = 31.1 ± 1.7 mm Hg; pO2 = 108 ± 8 mm Hg, and pH = 7.37 ± 0.01 (four animals). Shorter periods of stimulation accentuated the difference between arteriole and venuole responses. In particular, a single air puff led to a transient dilation of the arterioles, with a peak amplitude of 7.3% ± 6.5% of the initial vessel diameter, but produced no discernable venous dilation (Fig. 2C and Table 1).
Table 1.
Punctate |
10-s stimulus |
30-s stimulus |
||||
Parameter | Average (0.5–1.5 s after onset) | Peak | Average (0.5–10.5 s after onset) | Peak | Average (0.5–30.5 s after onset) | Peak |
Surface arteries | ||||||
Vibrissa (%) | 4.4 ± 4.5 (P < 10−4) | 8.9 ± 6.1 (P < 10−5) | 13.7 ± 7.0 (P < 10−4) | 22.0 ± 8.4 (P < 10−5) | 17.0 ± 9.6 (P < 10−4) | 25.8 ± 12.5; early* (P < 10−5) 27.8 ± 10.7; delayed† (P < 10−5) |
Control (%) | 1.9 ± 3.0 (P < 3 × 10−3) | 5.0 ± 3.8 (P < 10−5) | 3.2 ± 3.3 (P < 10−3) | 9.6 ± 7.1 (P < 10−5) | 2.9 ± 4 (P < 10−4) | 12.1 ± 8.6; early* (P < 10−5) 9.7 ± 8.4; delayed† (P < 10−5) |
Sample (n) | 28 | 17 | 39 | |||
Diameters (μm) | 27.9 ± 13.7 | 16.5 ± 10.4 | 13.1 ± 7.5 | |||
Surface veins | ||||||
Vibrissa (%) | −0.7 ± 0.8 (NS) | 1.2 ± 1.2 (NS) | 1.8 ± 3.5 (NS) | 5.6 ± 3.3 (P < 10−5) | 4.1 ± 4.2 (P < 10−4) | 10.2 ± 6.2 (P < 10−5) |
Control (%) | −0.1 ± 0.1 (NS) | 0.8 ± 0.9 (NS) | 0.8 ± 1.4 (NS) | 5.3 ± 4.1 (P < 3 × 10−3) | 0.5 ± 3.3 (NS) | 6.8 ± 5.7 (P < 10−5) |
Sample (n) | 7 | 8 | 45 | |||
Diameters (μm) | 50.7 ± 23.7 | 17.0 ± 16.4 | 13.9 ± 8.3 | |||
Capillaries | ||||||
Vibrissa (%) | −0.1 ± 3.0 (NS) | 2.0 ± 5.1 (NS) | ||||
Control (%) | −0.2 ± 1.7 (NS) | 0.3 ± 2.5 (NS) | ||||
Sample (n) | 13 | 19 | ||||
Diameters (μm) | 3.3 ± 0.6 | 2.9 ± 0.5 | ||||
Depth | 30–50 μm below pia | 20–50 μm below pia |
All numbers are mean ± SD.
*Early peak, which occurs in the 1- to 10-s period after stimulation.
†Delayed peak, which occurs 10–31 s after stimulation.
The time constant for the rise and fall of the averaged change in dilation of individual arteriole diameters was 8 ± 8 s, whereas that for the change in the venous time constants was 44 ± 35 s (Fig. 2). After the termination of prolonged vibrissae stimulation, arteries constricted below their initial diameter (−2.2% ± 4.6% averaged 20–60 s after stimulus offset; P < 0.005). Urethane anesthesia greatly reduced the arterial response and completely blocked venous distension to sensory stimulation (Fig. S2 C–F). Nonetheless, the biphasic behavior seen in arterioles matched that observed after strong stimulation to anesthetized rodents (10).
The calculated blood volume changes in the arterial and venous compartments associated with different stimuli showed an approximately fourfold greater change in the arterial volume than in veins, as well as a slight poststimulus decrease in arterial blood volume (right-hand scale in Fig. 2C). Because the venous component of total blood volume is thought to be approximately three to four times that of the arterial component (6), the arterial volume changes dominate for brief stimuli and are likely to exceed the venous changes even for long stimuli. Finally, the diameter of subsurface capillaries (diameter = 2.9 ± 0.5 μm) was unchanged for all conditions of stimulation (Fig. S4), although capillaries with twice these diameters are reported to constrict in response to neuromodulation by central neurons in in vitro cerebellar and retina preparations (11).
Small arterioles dilated proportionally more than larger arterioles for both spontaneous dilation events and the rapid dilation that followed vibrissa simulation and vibrissae-evoked dilations (Fig. 3 A and B). In contrast, the delayed, second peak in the dilation does not show a significant dependence on vessel size (Fig. 3B), nor does the response to control stimuli (Fig. 3C). Under all conditions, venous distensions had no dependence on initial diameter. The dependence of spontaneous and evoked diameter changes on vessel size and type are similar to those observed under hypercapnia (6). The critical point is that both prompt and delayed arterial responses were similar in magnitude to spontaneous arterial dilations, with typical dilations of 30% and maximum dilations near 50% for both cases (Fig. 3 A and B).
We now ask whether the sensory evoked dilations of surface arterioles are reflected in the velocity of RBCs in the underlying capillaries (Fig. 4A). We find that a single puff of air to the vibrissae causes a transient increase in the speed of RBCs (Fig. 4 B–D and Table 2); systemic changes in blood pressure are unlikely to account for this effect because the increases in speed were not locked to changes in the heart rate triggered by the stimulus (Fig. S5). Further, stimulation for 30 s caused a transient increase in velocity, followed by a progressive increase that parallels the dilation in the surface arteries (Fig. 4D). These increases were not limited to the vibrissa area of parietal cortex, because vessels in the immediately adjacent medial region also respond to sensory stimuli (Fig. 4C). There was no significant difference in the relative increase in speed for vessels inside vs. outside the vibrissa area (P > 0.32, Kolmogorov–Smirnov test); the fraction increase in speed was 1.2 ± 0.1 (n = 28 vessels) within the vibrissa area, compared with an increase of 1.3 ± 0.2 (n = 3 vessels) outside the vibrissae area.
Table 2.
Parameter | Punctate stimulus (0.5–1.5 s after onset) | 30-s stimulus (0.5–30.5 s after onset) |
Vibrissa | ||
Mean (%) | 20.6 ± 12.4 (P < 10−4) | 35.1 ± 15.1 (P < 10−4) |
Peak (%) | 30.1 ± 14.6 (P < 10−5) | 81.8 ± 31.3 (P < 10−5) |
Control | ||
Mean (%) | 7.9 ± 8.4 (NS) | 5.1 ± 14.6 (NS) |
Peak (%) | 13.8 ± 6.0 (NS) | 41.6 ± 38.6 (P < 3 × 10−2) |
Sample | n = 63 | n = 16 |
Diameter = 4.9 ± 1.3 μm | Diameter = 3.2 ± 0.7 μm | |
Depth range = 0–140 μm | Depth range = 20–50 μm |
All numbers are mean ± SD.
Discussion
Our results support a significant arterial contribution to a sensory-induced increase in blood volume, especially during the early portion of a sensory stimulation (Fig. 5). This is consistent with the overshoot of net-oxygenated blood, inferred from fMRI (6) and IOS (2) studies, that occurs after sensory stimulation. The expanded volume of arteriole blood leads to an increase in the velocity, but apparently not volume, of capillary blood. Constant capillary volume is consistent with a lack of capillary dilation even during epochs of seizure activity (12). For prolonged stimulation of the form typically used in fMRI experiments (4), but more than an order of magnitude longer than behavior time-scales, the continuous increase in flux eventually leads to an observable distension of the venules. In this case, the greater total volume of venous vs. arteriole vasculature (6) suggests that the increase in venous volume may be on parity with the increase in arteriole volume. The delayed increase in the volume of venous blood upon prolonged stimulation (Fig. 3), and the subsequent slow return of this volume to baseline levels, has been ascribed as evidence for “windkessel” (5) or “balloon” (4) models, in which the veins form a sink for excess blood. Rather, evolution has developed an arterial “bagpipe” that serves as a reservoir of fresh blood to support the ongoing and anticipated increase in brain metabolic activity.
The BOLD fMRI signal is determined by an interplay of metabolism, blood flow, and vascular volume (13). Thus, the interpretation of the BOLD signal relies on understanding the changes in each of these components during functional hyperemia. The present optical-based results (Fig. 2) may be combined with MRI-based results (5, 14–17) to synthesize a view in which the relative contributions of changes on arterial and venous volumes depends upon the temporal characteristics of the stimulus. The rapid increase in blood flow to cortex that follows sensory stimulation, which occurs over a period of seconds, is accompanied by an increase in arterial cerebral blood volume. This causes an increase in oxygenation of the venous blood on the time scale of the arterial–venous transit time (16). If the stimulation is prolonged, ≈20 s or more in duration, a slow increase in venous blood volume gradually becomes a significant component of the blood volume change (14, 15). Under some conditions, capillary volume may also increase (18). In summary, transient sensory stimuli evoke substantial changes in the arteriole volume, whereas prolonged stimulation may lead to changes in volume throughout the entire vascular volume.
Our realization of two-photon microscopy (Fig. 1A) allows visualization of blood flow dynamics at the level of single vessels with transcranial illumination and detection in awake animals. However, it is currently limited to imaging the superficial aspects of the cortex, and even with extensive averaging we could not resolve changes in diameter less than 0.2 μm. Thus, changes in venous diameter of less than 2% and changes in capillary diameter of less than ≈7% would not be detected in our experiments but would contribute to total blood volume changes measured with MRI. Future work, using longer wavelengths (19) and adaptive optics (20–23) to correct for scattering by the thinned skull and brain tissue, should enhance the resolution and maximum depth of our images.
A final point concerns the low-frequency, coherent fluctuations in arterial volume that are seen in both the absence (Fig. 1C) and presence of stimulation (Fig. 2B). The typical amplitude of the fluctuations can be larger than the average amplitude of the stimulus-initiated response. Thus, from the perspective of homeostatic regulation, changes in vascular diameter that occur in response to neuronal activation by external stimuli are comparable to spontaneous changes. Further, the frequency dependence and spatial coherence of oscillations seen here for surface arterioles is similar to that observed for slow spontaneous oscillations in the velocity of RBCs across capillaries (7). We conjecture that these result from vasomotion (24). The nature of these fluctuations seems similar to fluctuations in the BOLD fMRI signal in nonhuman (25) and human (26) primates and in the IOS and Doppler signals from rodents (24). Thus, the transcrianal imaging technique we used may be of use to explore the mechanistic basis of these ubiquitous oscillations (27) in behaving mice (28, 29).
Methods
Surgery and Experimental Procedures.
All surgical and experimental procedures were performed in accordance with local Institutional Animal Care and Use Committee guidelines. Our subjects were 21 male c57/bl6 mice with masses greater than 20 g (Charles River). They were implanted with polished and reinforced thin-skull windows (7) over the vibrissa region of primary somatosensory cortex. A head-bolt was glued to the skull, and two or three self-tapping #000 screws (Small Parts) were threaded into the skull and attached to the head-bolt and skull via dental cement. Animals were allowed to recover for 2 d and then were acclimated to head fixation and vibrissa stimulation over 2–7 d. Imaging took place up to 4 mo after the initial surgery. Urethane (Sigma) anesthetized animals (n = 2) were injected with 1 g/kg urethane i.p. and 0.2 mg chlorprothixene (Sigma) i.m. (30). Additional animals for blood gas measurements (n = 3) were acclimated and had catheters inserted in their left femoral artery, as previously described (31), along with a head bolt.
Imaging and Data Analysis.
Animals were imaged (32) using a custom two-photon microscope (33) that employed photon counting detection (34) and was controlled by MPScan software (35). We further used a 10× 0.3 N.A. (Zeiss), 20× 0.5 N.A. (Olympus), 20× 0.95 N.A. (Olympus), or 40× 0.8 N.A. (Olympus) dipping objective. Capillaries were imaged in the upper 200 μm of cortex. Power exiting the objective was typically 15–20 mW for imaging surface vessels and varied from 10 to 200 mW for capillaries. Baseline values of velocity and diameters exhibited no noticeable changes during 3–20 min of prolonged scanning.
Before each imaging session, animals were briefly anesthetized with isoflurane (2% in air) and infraorbitally injected with ≈0.05 mL 5% (wt/vol) 70 kDa fluorescein-conjugated dextran (Sigma) (36). Imaging sessions typically lasted 1 to 2 h. Sensory stimulation to the macrovibrissae of awake animals consisted of single 20-ms puffs of air (20 psi), delivered a distance of 3 cm from the vibrissae, either singly or in 8-Hz trains. This is known to cause a robust electrical response in the primary vibrissa area of the contralateral parietal cortex (37). Control stimuli were presented from an air puffer directed at the tail from 3 cm away. Stimuli were presented with 10- to 20-s interstimulus intervals for single puff stimuli, 60-s interstimulus interval for the 10-s stimulations, and 120-s interstimulus interval for the 30-s stimuli. Control and vibrissa stimuli were randomly interleaved.
For diameter measurements, movies were made from sequences of frames acquired at 6–30 frames per second. Individual frames were aligned to remove motion artifacts by calculating the maximum in the cross-correlation between the 2D Fourier transform of each image, yielding a phase shift that can be converted back to a translation in real space (38). Diameter measurements from frames that contained motion more than 4 μm over the entire field were excluded from further analysis. To determine the diameter of vessels from the movies, a small segment of the vessel, typically 2–5 μm, was manually selected and averaged along the long axis. The diameter was determined from the full width at half-maximum (39); we typically resolved changes down to 0.2 μm. For spontaneous measurements of diameter oscillations, only traces with more than 500 s of continuous data were used. Time series of the diameter were filtered with a three-point median filter, resampled at 25 Hz, and low-pass filtered with a 3-Hz first-order Butterworth filter for peak measurements. Multitaper coherence calculations (40, 41) and their error estimates (42, 43) were performed in MATLAB with the Chronux toolbox (44). Plots of spontaneous dilations were normalized by the median diameter. Those of sensory evoked changes in diameter were normalized to the value of the baseline diameter, defined as an averaged over the 2 s before stimulus onset. To estimate the time constant of the change in vessel diameter, the responses to 30-s stimuli were fit to boxcar functions convolved with an exponential (14); this yields equal rise and fall times.
For velocity measurements in the capillaries, line-scans were made of one or two vessels at a time with the use of arbitrary scan paths (45), from which velocities were calculated using the Radon transform method (46) implemented in MATLAB. Data were windowed into 40-ms windows with 10 ms of overlap. Exceptional points with separability score (46), a bootstrap measure of line-scan quality, of <3, or with a velocity that was less than one fourth or more than four times the mean velocity, were excluded from the averages. Velocity traces were filtered with a three-point median filter. Heart rate was determined from the peak in the power spectrum of the velocity within the 5- to 20-Hz band (7), obtained 0.5–1.5 s after the start of stimulation for the impulse or 0.5–30.5 s for the 30-s prolonged stimulation.
All statistics were performed with a two-sided t test, unless otherwise indicated, and all numbers are reported as mean ± SD. For peak velocities and diameters, the population maxima of the 1 s of baseline data were randomly resampled with replacement to match the duration that the maximum of the stimulus was measured over. A maximum of the resampled baseline data was taken and compared with the evoked response using a Kolmogorov–Smirnov test.
For histological reconstructions, animals were deeply anesthetized and transcardially perfused with PBS (Sigma), followed by 4% parformaldahyde (Sigma) in PBS followed by a 1% (wt/vol) fluorescein-albuminin (Sigma), 2% (wt/vol) gelatin (Sigma) mixture in PBS (47). The brain was extracted, the cortex flattened, fiduciary marks were made, and fluorescence images were taken to identify the locations of pial vessels relative to that of the fiduciary marks. After sinking in 20% (wt/vol) sucrose in PBS, we prepared 100-μm-thick brain sections tangential to the cortical surface and stained for cytochrome oxidase (48). The images of the vascular maps and cytochrome oxidase-stained sections were overlaid in Adobe Illustrator, according to the fiduciary marks, to determine the locations of imaged vessels relative to the cortical representation of the vibrissae (48).
Note Added in Proof.
A recent paper has reported vasomotor oscillations in the intrinsic optical signal of mice (49).
Supplementary Material
Acknowledgments
We thank the two anonymous reviewers for insightful comments; Richard Buxton for critical discussions with regard to stimulation parameters; Seong-Gi Kim and Tae Kim for discussions on models of the functional MRI signal and for graciously sharing unpublished data; Michael Fuentes and Carl Petersen for advice on head fixation; Jonathan Driscoll and Philbert Tsai for assistance with the imaging system; and Jonathan Driscoll and David Matthews for comments on an early version of the manuscript. This work was supported by National Institutes of Health Grants EB003832, MH085499, NS059832, and OD006831 (to D.K.) and by the American Heart Association (A.Y.S.).
Footnotes
The authors declare no conflict of interest.
*This Direct Submission article had a prearranged editor.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1100428108/-/DCSupplemental.
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