## Introduction

Biological functions rely on blood vessels for oxygen and nutrient delivery. Nutrient exchange happens at the capillary level, where the small vessel diameter (~10 µm) allows for maximum contact between the red blood cell (RBC) surface and vessel wall. The pericapillary tissue (tissue between capillaries) plays a critical role in regulating capillary function through mechanical and chemical signaling pathways1,2. For example, angiogenesis, the growth of new blood vessels and modification of existing ones, is a complex process involving angiogenic mediators, vessel endothelial cells, the extracellular matrix (ECM), and, in the brain, neurons, and glial cells3,4. The ability to quantify the microvascular network and pericapillary tissue is highly sought after, since alterations to these structures are manifested in several diseases, including cancer, inflammatory processes, hypertension, diabetes mellitus, chronic kidney disease, and neurodegenerative diseases5,6,7,8,9. In particular, monitoring capillary-level oxygen saturation (sO2) can indirectly assess local tissue oxygenation and metabolic function. In the case of diabetes mellitus and tumor development, angiogenesis is induced by local hypoxia and can be reflected by abnormal local oxygenation levels10,11. Furthermore, it has been shown that the level of collagen crosslinking in the ECM, which is a nanoscale modification, can also influence angiogenesis12. Therefore, measuring the true in vivo nature of capillary oxygenation and nanoscale pericapillary tissue is a highly desirable goal that, to the best of our knowledge, has not yet been achieved. As a non-invasive imaging modality, optical coherence tomography (OCT) has recently shown promise in reaching this goal.

OCT is an optical imaging modality that provides cross-sectional morphology of tissue in vivo using the coherent backscattered light from a sample13. OCT offers a simple, practical method to image three-dimensional (3D) tissue morphology with microscopic resolution (1–10 µm) without using ionizing radiation. In addition to 3D morphological imaging, the coupling of new signal analysis and light sources has enabled OCT to obtain functional angiography with spatially resolved sO2, flow rate, and oxygen delivery rate (drO2)14,15,16,17,18,19. Until now, OCT has only demonstrated the ability to extract sO2 from larger arteriolar-level vessels and has not shown the capability of capillary-level sO2 monitoring. The scattering signal from a single RBC contains information about its size, orientation, and sO220. If the size and orientation information of an RBC are unknown, the ability to decouple this information from the sO2 is believed to be impossible. Larger vessel cross sections contain several RBCs, resulting in an average RBC signal that reveals sO2. However, the capillary cross section contains only one or two RBCs, removing the ability to instantaneously average and obtain a meaningful capillary sO2 signal. This is problematic since the site of oxygen exchange at the capillary level cannot be properly monitored. Therefore, it is highly desirable to advance the capabilities of OCT to provide in vivo capillary-level sO2.

While OCT can provide microscopic details and functional information, sensing the nanoscale structures that influence microvascular alterations, such as collagen crosslinking, is challenging. Detecting nanoscale structures is beyond the resolution limit of conventional OCT. Inverse spectroscopic OCT (ISOCT) is a new method for sensing tissue ultrastructure (structural information below the imaging resolution of microscopic histopathology). ISOCT is sensitive to structures from 30 to 450 nm and can reveal valuable tissue information, such as changes to nuclear chromatin compaction and ECM crosslinking21,22. As a result, coupling ISOCT with OCT angiography would allow one to isolate the pericapillary space and sense the ultrastructural changes occurring during microvascular alterations.

To address the shortcomings of capillary-level sO2 and pericapillary ultrastructural sensing, we developed a novel optical imaging system called dual-band dual-scan ISOCT (D2-ISOCT). We show for the first time that from a single measurement using endogenous contrast in vivo, D2-ISOCT can obtain the capillary-level sO2, arteriolar-level blood flow rate, drO2, and oxygen metabolic rate (mrO2) functional microvascular parameters, and characterize pericapillary space morphology and ultrastructure. As an illustration of the capabilities of D2-ISOCT, we monitored the wound-healing response of a mouse model. The multi-metric quantifications of capillary sO2, blood flow rate, drO2, mrO2, and pericapillary ultrastructure were temporally analyzed and show D2-ISOCT has the promise to become a powerful new non-invasive imaging tool.

## Results

### D2-ISOCT imaging system

D2-ISOCT combines visible light interferometry and near-infrared (NIR) light interferometry to allow for the comprehensive quantification of capillary sO2, blood flow, and pericapillary ultrastructure. This study used an open-air Michelson interferometer for the visible band and a fiber-based Michelson interferometer for the NIR band. The concept of using Michelson interferometry, as depicted in Fig. 1a, is based on the interference between backscattered light from the tissue with a reference reflection to coherently gate the light from different depths in a sample. This allows the visible and NIR interferometers to obtain the 3D spectroscopic information used in computing D2-ISOCT metrics. Two broadband sources provided visible and NIR illumination, and two spectrometers individually recorded the interferogram in the visible and NIR bands. Using a dichroic mirror placed before a galvanometric mirror scanning system, the two bands were combined to allow for simultaneous scanning of each band across the sample. This is shown in the detailed schematic in Figure S1, and the additional optical components of the D2-ISOCT system are described in the Materials and methods—System setup section.

Fig. 1b demonstrates the principle behind D2-ISOCT’s spectroscopic analysis. By sweeping a Gaussian window through the visible interferometric spectrum, a short-time Fourier transform (STFT) can be applied to yield spectrally dependent OCT images. The visible angiogram allowed the hemoglobin spectroscopic signal to be analyzed separately from the pericapillary space scattering. Fitting hemoglobin light attenuation models across the 520–600 nm windows revealed sO2 contrast (see Supplementary Information—Microvascular Spectra and sO2), while fitting the tissue mass density autocorrelation function “shape factor”, D, across the entire visible range characterized pericapillary space ultrastructure15,23 (see Supplementary Information—Tissue Spectra and D Values).

Tissue can be characterized as a continuously varying refractive index medium with a refractive index autocorrelation function Bn:22

$$B_n\left( r \right) = A_n\left( {\frac{r}{{l_c}}} \right)^{\frac{{D - 3}}{2}}K_{\frac{{D - 3}}{2}}\left( {\frac{r}{{l_c}}} \right)$$
(1)

where An is the amplitude of the refractive index fluctuations, lc is a length scale parameter, K{.} is the modified Bessel function of the second type, and r is the distance between any two points for which the autocorrelation function is being calculated. When D is between 0 and 3, Bn behaves as a power law and D then physically describes the fractal dimension of tissue ultrastructure. D values between 3 and 4 result in Bn having a stretched exponential shape, and as D approaches infinity Bn is a Gaussian. D can be related to the normalized backscattering spectra, μb, of each imaging voxel by (2), and normalized μb can be related to the spectral dependent OCT A-line intensity, I(k), at each voxel by (3):22

$$\mu _{\mathrm{b}}\left( k \right)\sim k^{4 - D}$$
(2)
$$I^2\left( k \right)\sim \mu _{\mathrm{b}}\left( k \right)$$
(3)

where k is the wavenumber. Therefore, by fitting D to the precapillary space μb measured by D2-ISOCT, one can characterize ultrastructural modifications such as collagen crosslinking, which has been shown to lead to an increased D22. The tissue ultrastructural change was represented by ΔD, i.e., the difference from the mean D value.

The NIR band allowed for deeper penetration to resolve larger vessels. NIR spectrum Doppler analysis, which measured interferogram phase shifts due to sample flow, provided a large vessel flow velocity contrast that, combined with the local microvascular sO2, led to drO2. En face projections of capillary sO2, pericapillary ultrastructure, arteriolar flow rate, and drO2 are shown in Fig. 1b.

### System calibration and characterization

The spectral performance of the D2-ISOCT imaging system was characterized by comparing measured normalized backscattering coefficient (µb) spectra of polystyrene beads with theoretical results calculated by Mie theory. The experimental results of beads with sizes of 650, 370, and 100 nm match well with Mie theory, as shown in Fig. 1c, with root mean square errors (RMSE) of 0.1457, 0.1243, and 0.0452, respectively. sO2 contrast was verified by measuring the attenuation coefficient (µt) from the top 22 microns of oxygenated and deoxygenated blood samples. The blood µt spectra matched well with theoretical predictions (RMSE of 0.0449 and 0.0578 for oxygenated and deoxygenated blood, respectively) as shown in Fig. 1d and served as the calibration spectra for in vivo sO2. blood flow measurements with NIR Doppler analysis were calibrated by measuring the phase shifts from a microtube phantom with known flow velocities24. A syringe pump delivered bovine blood to a microtube with a speed range of 0.483–8.694 mm/s, covering the normal range of flow speeds in arteries, veins, and capillaries25,26. The Doppler angle of the microtube was 0.28 rad, giving the range of the projective flow velocities along the beam axis to be 0.13–1.22 mm/s. The results of the phantom measurements, as shown in Fig. 1e, produced a calibration curve with an excellent linear relationship between the phase shift and projective flow velocity (R2 = 0.999 to a linear model). This allowed for absolute blood flow rates to be calculated from phase shifts in vivo.

### Functional and ultrastructural imaging

To demonstrate D2-ISOCT’s capabilities, the wound-healing process in a mouse model was monitored. Wounds were introduced into a mouse ear using a 0.35 mm biopsy punch. Large field-of-view (FOV) images (4 × 4 mosaics) of microangiography, blood flow, and ultrastructural properties are shown in Fig. 2. The images were taken from a completely healed ear, with white circles indicating two initial puncture wounds. As shown in Fig 2a, b, the visible microangiography clearly displays capillary networks, while the NIR microangiography reveals dermal arterioles and venules. A higher density of disorganized microvasculature at the wounded areas is shown in Fig. 2b, indicating angiogenesis during the wound-healing response. Blood flow velocity, which is shown in Fig. 2c, was calculated by averaging the projective blood flow velocity (Vp) along the beam axis over depth. The decreased Vp in the wounded areas of Fig. 2c reflects microvascular remodeling during wound healing, corresponding well with the angiogenesis shown in Fig. 2b. Apart from neovascularization, wound healing also involves the formation of granulation tissue. To detect this formation, we used ΔD to quantify the ultrastructural properties of the pericapillary space. ΔD was calculated from the dermal layer, approximately 90–200 μm from the skin surface for a mouse ear27, where granulation tissue is formed during the wound-healing process28, as shown in Figure S6. It is clearly reflected in Fig. 2d that the wounded pericapillary space of the dermis has a higher ΔD.

### Longitudinal monitoring of wound healing with D2-ISOCT

Tissue remodeling was longitudinally quantified with D2-ISOCT metrics (microvascular sO2, blood flow rate, drO2, and ΔD) up to 36 days after the ear punch, as shown in Fig. 3. The complete set of D2-ISOCT metrics from eight different dates, including sO2 measurements of dermal arterioles and venules before and after the ear punch, is shown in Figure S7. Ear punches were performed on day 1 and are marked by the dashed white circles in Fig. 3.

The sO2 contrast from an arteriole and a venule could roughly be distinguished at the bifurcation in Fig. 3a, day 0 (no wound/control), indicated by the white arrow. When the wound was made at this bifurcation, skin tissue was removed and the major blood vessels at this branch were disrupted. This led to local ischemia and a lower sO2, as shown in Fig. 3a, day 1. As the wound began, to heal there was a rapid increase in the microvascular sO2, as noted by the white arrows on Fig. 3a, day 7 and day 14. As the wound progressively healed, the local oxygenation level gradually returned to a state similar to that of day 0. Furthermore, in Fig. 3a, day 36 the same pair of arteriole and venules seem to reestablish their day 0 sO2, as noted by the white arrow. Single capillary sO2 sensitivity was obtained by averaging the spectra of a capillary segment over nine time points to obtain meaningful hemoglobin oxygenation spectra. The sO2 of a single capillary is demonstrated by the white box blow up in Fig. 3a, day 36, which had an inner diameter of ~18 µm and length of 170 µm. The segment had a sO2 of 72.3 ± 2.9%, which is different from the sO2 calculated by averaging the signals of the local capillary network, 58.5 ± 4.3%. The discrepancy in these two calculations could be due to the spatial sO2 heterogeneity of the capillary network.

Longitudinal blood flow rates were calculated by multiplying a vessel’s displayed cross-sectional area with its corresponding projective flow velocity. The validity of in vivo flow rates can be supported by a bifurcation flow calculation. On Fig. 3b, day 36 the flow rate before the branch (0.127 ± 0.012 μL/min) approximately matches the sum of the flow rates of the downstream branches (0.085 ± 0.004 μL/min + 0.029 ± 0.012 μL/min = 0.114 ± 0.016 μL/min), indicating reasonable in vivo performance. It can be seen in Fig. 3b that the flow rates of vessels could be clearly distinguished. The flow rates drastically dropped on day 1 and then increased on day 7. Once the wound was completely healed on day 36, the flow rate returned to the control levels. A correlation between flow rate and capillary oxygenation could be seen across all days, since flow rate and capillary oxygenation increased and decreased together, as shown in Fig. 3a, b.

drO2 was estimated using the sO2 of the deeper arterioles and venules. The trend of the drO2 matched that of the sO2 and flow rates. As seen in Fig. 3c, drO2 dropped when the wound was induced, increased during wound healing, and returned to a control-like state on day 36. We also estimated the mrO2 by calculating the drO2 difference between the arteriole and the venule. The mrO2 follows the same tendency as drO2. mrO2 dropped when the wound was induced, peaked during the healing process, and finally returned to a level slightly lower than the control on day 36, as shown in Fig. 4a.

During the wound-healing process, ΔD of the dermal pericapillary space increased. An increase in ΔD (indicated by the white arrow) can clearly be noted in Fig. 3d on day 7. This increase in ΔD during the wound-healing process is supported by a statistical analysis on the wounded areas. As shown in Fig. 4b, from day 14 to day 36 there was a significant difference (p < 0.05) between the control and wounded area ΔDs.

## Discussion

We developed a novel optical imaging system called D2-ISOCT, which enables in vivo multi-metric quantification using endogenous contrast without ionizing radiation. It was demonstrated that from a single D2-ISOCT measurement, the capillary sO2, arteriolar-level blood flow rates, drO2, and mrO2, as well as the pericapillary space ultrastructure, could be quantified. Using these metrics, a microvascular niche of the wound-healing process in a mouse ear was monitored over time. During the wound-healing process, sO2, blood flow rate, drO2, and mrO2 initially decreased due to microvascular damage and were then observed to have increased 1 week after injury, a physiologic response consistent with the intensive oxygen and nutrient demands of the healing process. Once the wound was fully healed, the microvascular metrics returned to a state similar to the control. The pericapillary space ultrastructure, quantified by ΔD, increased during wound healing, indicating that the scar tissue had a higher ultrastructural fractal dimension than non-perturbed tissue.

Microvascular metrics corroborated well with each other. The low oxygenation levels on day 7 could be attributed to low flow rates, which would result in less oxygen being supplied to the area, and thus lower the mrO2. Increased flow rates should result in an increase in the supply of oxygenation to the wounded area, which is supported by the increase in sO2 on day 7. In addition to the bifurcation flow calculation, the in vivo flow performance of D2-ISOCT is supported by the observation of a similar flow trend during a mouse wound-healing model from a previous study29. D2-ISOCT achieved capillary sO2 sensitivity by spatially averaging the visible spectrum to obtain local capillary sO2 or temporally averaging the visible spectrum (over approximately 170 s) to obtain single capillary sO2. The limitation of this current work is the time required to obtain single capillary sO2. Our simulations show that by moving to the recently developed 250 000 lines/s spectrometers and increasing sample power, this time frame can be drastically reduced.

The longitudinal monitoring of the pericapillary space ultrastructure of five to six wound sites revealed a statistically significant (p < 0.05) difference in the ΔD between the post-wounded and pre-wounded sites. Furthermore, as the wounds healed, the ΔD was sustained instead of gradually diminishing. This increase is most likely due to the formation of granulation tissue, which occurs during the wound-healing process28,30. Granulation tissue contains highly crosslinked collagen, which has previously been reported to result in an increase in D22. Hence, it is expected that the wounded area ΔD would increase from its non-perturbed state. This could be explained by the granulation tissue being replaced by a relatively acellular and permanent scar with a similar mass fractal dimension to the granulation tissue30,31. The variations in ΔD could be attributed to different healing speeds among wounds. Furthermore, the faster the wounds healed, the sooner a higher ΔD was observed, suggesting earlier collagen deposition and crosslinking.

Pioneering OCT sO2 work showed values ranging from 25 to 73% in a mouse dorsal window for arteriolar-level vessels19, which is a smaller range than that noted on day 0 in Fig. 3. However, the capillary sO2 values for the mouse ear are in a reasonable range in comparison with previously measured capillary sO2 using photoacoustics32. The sO2 value range in this work is larger than those derived from previous OCT measurements because of D2-ISOCT’s ability to measure smaller vessels through the utilization of spatial and temporal averaging. Smaller vessels contain fewer RBCs and should therefore have a larger range of sO2 values than vessels with sizes on the order of 10’s of microns. Furthermore, previous methods have only considered absorption in the blood attenuation model and have measured the spectra from depths just immediately below vessels19. Our method presented herein considers scattering and absorption in the blood attenuation model and accounts for the incident light intensity on the vessel by taking the difference in the spectra from above and below the vessel. These two advances should result in more accurate measurements of sO2 values since the complete attenuation model is considered and light attenuation from tissue above the vessel is accounted for.

In extracting the attenuation coefficient, μt, from blood vessels for sO2 calculation, we assumed the accumulative attenuation of light by nonvascular tissues to be negligible compared to the attenuation of light by blood. Specifically, the backscattering coefficients from tissue above and below capillaries were approximated to be the same, such that the hemoglobin-related spectral contrast can be revealed when taking their difference, as in Eq. (6) of Materials and methods—Data processing for microvascular sO2 measurements. Although in principle the form of μt can change with depth depending on the scatterers and absorbers present, the above assumption works well when sufficient averaging is performed, particularly in the spatial domain, as shown in Figure S9. While the local scattering coefficient may be quite unpredictable, the averaging process smoothed the spectra and revealed the hemoglobin oxygenation contrast. Furthermore, since the spectra of blood vessels were obtained by taking the contrast immediately above and below capillaries according to the angiography mask, the accumulated attenuation through the surrounding nonvascular tissue was reduced.

The dual-wavelength bands of D2-ISOCT simultaneously provide important complementary information to offer synergistic insight into tissue functionality. While the visible light channel offers quantification of sO2 and ultrastructural properties, the NIR channel is complimented with better penetration to quantify the underlying blood flow, as shown in Figure S11. It can be seen in Figure S5 that the NIR deep penetration also allowed the imaging of vessels, which could not be seen in the visible channel. Additionally, this study lays the ground work for other research applications and clinical implementation of the technology.

D2-ISOCT provides a powerful new toolbox for existing OCT imaging applications in both laboratory and clinical settings. In the brain D2-ISOCT may allow researchers to probe the functional vascular changes that occur during organ development or disease progression33,34. In the clinic, integrating D2-ISOCT into endoscope measurements might further enrich the contrast for OCT endoscopic imaging35,36,37,38. For example, in the colon, it has been shown that the D2-ISOCT metrics D and the vessel organization can be used in evaluating colorectal cancer risk39,40. Additionally, it is well known that changes in the local oxygenation and metabolic rate are hallmarks of tumorigenesis41. Therefore, clinical endoscopic D2-ISOCT imaging systems may provide novel insights and diagnostic information.

To summarize, we have demonstrated for the first time in vivo single capillary oximetry and pericapillary ultrastructural sensing using a novel imaging system called D2-ISOCT. We obtained measurements of sO2, blood flow rate, drO2, and tissue ultrastructural properties during the wound-healing process in a mouse ear. Our D2-ISOCT system successfully detected microvascular alterations and tissue remodeling during wound recovery, indicating the potential of D2-ISOCT as a powerful new imaging tool. Future plans will aim to reduce single capillary sO2 measurement time and explore optical clearing agents to aid in deep sO2 calculations.

## Materials and methods

### Interferogram preprocessing

Visible and NIR interferograms were preprocessed before calculating the D2-ISOCT metrics. The interferograms were first normalized to the reference arm intensity followed by the DC removal. The data were then resampled into k-space (wavenumber space) and digitally compensated for dispersion42 before the STFT for the visible and the Fourier transform for the NIR. The visible spectral dependent OCT A-lines, I(λ,z), were normalized to a Rayleigh scattering reference medium and multiplied by a correcting factor of k4, where λ is the center wavelength of the STFT Gaussian window, z is the depth, and k is the wavenumber (k = 2π/λ). The normalized µb spectra of the samples were calculated by utilizing the relation that I2(λ,z) ~ μb(λ,z)22.

### Imaging standards

The Rayleigh scattering reference medium was prepared by diluting an 80 nm polystyrene latex bead solution (Molecular Probes by Life Technologies) to 4% w/v with deionized water. The beads used to characterize the spectral performance (Molecular Probes by Life Technologies; sizes: 100, 370, and 650 nm with coefficient of variations 15%, 3%, and 3%, respectively) were also diluted to 4% w/v with deionized water. Each bead solution was pipetted onto a glass slide before scanning with D2-ISOCT. The normalized bead µb spectra were calculated by analyzing the OCT signal from the top 45 μm of the beads.

Oxygenated and deoxygenated bovine blood samples (Quad Five) used to obtain the sO2 calibration spectra were prepared in glass Petri dishes with each containing approximately 10 mL of blood. For the deoxygenated samples, 10% w/v sodium dithionite (Na2S2O4) in phosphate-buffered saline (PBS) was added to the bovine blood at a ratio of 3:1. For the oxygenated samples, the bovine blood was exposed to air for 1 h after adding PBS at a ratio of 3:1. A commercial oxygen probe (MI-730, Microelectrodes, Inc.) measured the blood oxygen pressure (pO2) to ensure they were either fully oxygenated and deoxygenated. For the deoxygenated samples, each D2-ISOCT measurement was taken within 10 min of the preparation with Na2S2O4 to avoid oxygenation from air exposure. The normalized blood µt was extracted by analyzing the OCT signal from the top 22 microns of the blood samples. The µt was calculated according to a simplified OCT backscattering model for sO2 quantification (described in Data processing for microvascular sO2 measurement)43.

The calibration curve for the Doppler blood flow measurements was carried out using a syringe pump (Harvard Apparatus PhD 2000) and plastic micro-tubing (inner diameter 0.353 mm). The flow rates of the bovine blood in the microtube were set by the syringe pump from 3 to 54 µL/min, with intervals of 3 µL/min.

### Animal preparation

All the experimental procedures were approved by the Northwestern University Institutional Animal Care and Use Committee. We monitored the healing process of six ear wounds (two on the left ear and four on the right ear) on one SKH1-Elite (Crl: SKH1-Hrhr) hairless albino mouse for 36 days to demonstrate D2-ISOCT capabilities. We used a 0.35 mm reusable biopsy punch (WPI, World Precision Instruments) to remove cylindrical tissue cores along six different major artery/vein pairs of two ear pinnae, creating six independent wounds. Each wound location was imaged with D2-ISOCT on day 0 (no wound/control), day 1 (wound made), and days 7, 14, 23, 27, 33, and 36 post biopsy punch. For each imaging acquisition, the hairless mouse was first anesthetized with 2.5% isoflurane in 3 standard liter per minute (SLPM) air mixed with pure oxygen for 5 min. After the initial anesthesia, the animal was transferred to an imaging stage and anesthetized with 1.5% isoflurane in 1.5 SLPM air. To ensure the ear was stationary it was attached to a glass slide with double-sided tape. A heating pad was used to maintain the animal’s body temperature.

### Scanning protocols

The visible and NIR bands were simultaneously acquired with each spectrometer collecting 45 000 A-lines/s at an exposure time of 18 µs. Two scanning protocols were used during the data collection.

The first protocol was used for microangiography, sO2 measurement, and tissue ultrastructural property analysis. The protocol covered a square FOV of 1.77 × 1.77 mm and was composed of repetitive (4×) unidirectional B-scans of the same cross section. Each B-scan consisted of 400 A-lines per repetition. A total of 512 B-scans × 4 repetitions was sequentially acquired to cover the full FOV, taking a total of 18.2 s to obtain local capillary sO2. Single capillary oximetry was carried out by continuously acquiring nine volumetric scans over the same location, equating to a total acquisition time of approximately 170 s.

The second protocol was used for Doppler blood flow measurements, covered a FOV of 1.77 × 1.77 mm and was composed of repetitive counter-directional B-scans of the same cross section. Each B-scan consisted of 2000 A-lines for each direction. A total of 256 B-scans × 2 (for bidirectional scanning) were sequentially acquired to cover the full FOV, taking a total of 22.8 s.

The large FOV image seen in Fig. 2 was collected by utilizing scanning protocols 1 and 2 over a 4 by 4 mosaic, increasing the FOV to approximately 6.0 × 6.5 mm. The imaging site was shifted using the mechanical stage first horizontally using LabVIEW software and then vertically with manual adjustments. We allowed some overlap between adjacent scans for better stitching of individual images of the mosaic. The total time for the large FOV under protocol 1 was ~4.8 min and under protocol 2 was ~6.1 min.

### Data processing for microangiography

The sweeping Gaussian window for visible microangiography sampled the spectrum into 18 equally spaced narrow bands in k-space. The swept wavelength range was 507–702 nm, and the size of the Gaussian window was 0.35/µm. This gave a STFT bandwidth of 20.3 nm at 603 nm and relaxed the axial resolution to 7.88 µm. For the NIR microangiography, the size of the Gaussian window was 0.37/µm and covered a wavelength range of 1233–1386 nm. This gave a STFT bandwidth of 100 nm at 1309.5 nm and relaxed the axial resolution to 7.55 μm. Angiography contrast originates from the decorrelation between repetitive B-scans due to the sample movement found in blood vessels. Therefore, bulk sample movement must be mitigated to increase the contrast of blood vessels. We adopted a three-step digital approach to correct for the bulk sample movement44. First, four B-scans of the same cross-sectional area were co-registered according to their cross-correlation functions. The axial global phase fluctuations between the four scans were then corrected with two phase-modifiers. Finally, the motion-corrected data were obtained by calculating the expected value of the amplitude between the four scans. The 3D angiography data were then averaged spatially and across different STFT windows to reduce the background noise. The visible and NIR en face microangiography images had values set to zero, which were <~1.5 times their mean intensity. The 2D binary mask used in the D calculations was obtained by thresholding the visible en face microangiography to ~1.5 times its mean from the surface to 150 μm. The 3D microangiography binary mask used in sO2 calculations was obtained by thresholding each visible microangiography cross section to ~1.5 times the mean intensity from the surface to 150 μm in depth.

### Data processing for microvascular sO2 measurement

The μt of blood vessels were extracted according to the following simplified OCT backscattering model for sO2 quantification43. In this model, the intensities for the hemoglobin absorption bands (520–610 nm) along the axial direction of the OCT A-line separated by a distance z can be related to each other through μt:

$$I\left( {\lambda ,z_0 + z} \right)^2 = C\rho I\left( {\lambda ,z_0} \right)^2e^{ - 2\mu _t(\lambda )z}$$
(4)

where C is a constant, ρ is the local reflectance, and I(λ,z0) is the OCT A-line intensity at depth z0. We simplified μt(λ) as:

$$\mu _t(\lambda ) = a\left( {g\left( \lambda \right)} \right) \times \mu _{\mathrm{s}}(\lambda ) + \mu _{\mathrm{a}}(\lambda )$$
(5)

where a is a function of the hemoglobin anisotropic factor g, and μs and μa are the scattering and absorption coefficients of blood, respectively. This simplified relation was verified using Mie theory for the attenuation coefficients of oxygenated and deoxygenated blood, as shown in Fig. 1d. According to (4), the µt of a blood vessel could be written as the following, where z0 is the depth location for the top of the blood vessel, and z is the axial length of the blood vessel on the thresholded visible angiogram:

$$\mu _t\left( \lambda \right)\sim \frac{1}{2}{\mathrm{log}}\left( {\frac{{I\left( {\lambda ,z_0} \right)^2}}{{I\left( {\lambda ,z_0 + z} \right)^2}}} \right){\mathrm{/}}z$$
(6)

Provided there is sufficient signal across the spectrum at the measured blood vessel, it can be seen in (6) that the normalized μt used in calculating sO2 can be extracted regardless of scattering above the vessel. This is because (6) only considers the contrast in the spectrum through the vessel’s axial length on the angiogram mask.

The I(λ,z) used in calculating sO2 with the above relation was generated using an STFT Gaussian window size of 0.91/μm. The windows were equally spaced in wavenumber from approximately 520 to 610 nm, totaling 18 windows. This produced a measured axial resolution of 8.5 μm in tissue, as shown in the Supplementary Information-System Sensitivity and Resolution Measurements section. To calculate the μt of blood vessels, their spatial location needed to be identified. This was accomplished using the threshold microangiography generated by the visible windows as described in the Materials and methods—Data processing for microangiography section. The microangiography STFT windows were not the same as the sO2 STFT windows because the additional windows from 610 to 702 nm helped improve the signal-to-noise ratio. Furthermore, a smaller window size was necessary to prevent low-pass filtering the sO2 contrast from the spectra. However, the sO2 STFT windows could still sense capillaries, as shown in the Supplementary Information-sO2 STFT Window Capillary Sensing section.

To isolate regions for spatial spectral averaging, lateral regions of interest (ROIs) were manually drawn on the en face projective visible microangiography to select a single arteriole/venule or a local microvascular network. Then, a 3D ROI was generated by extruding the manually selected lateral ROI along depth, corresponding to a thickness of ~150 μm from the skin top surface. Next, blood vessels were segmented from this 3D ROI for each microangiographic wavelength band using a threshold-based algorithm. In each A-line of the 3D microangiography, the top and bottom of the elliptically shape vessels were calculated. Blood vessel μt in this ROI was then calculated by setting z in (6) to the mean segmented vessel size. The local capillary sO2 in the ROI was then generated using least squares fitting for the vessel μt to the sO2 calibration curves.

The sO2 of a single capillary (demonstrated in Fig. 3a, day 36) was calculated using the same method, except that I(λ,z) was obtained by averaging OCT signals over nine consecutive volumetric scans. This resulted in a total temporal average of 170 s. Nine consecutive volumetric scans were co-registered according to their cross-correlation functions before averaging to remove the possible movement of the animal between scannings.

Example spectra of blood vessels and their quantified sO2 fitted spectra are shown in the Supplementary Information-Microvascular Spectra and sO2 section.

### Data processing for microvascular flow rate measurement

Flow calculations assumed consecutive A-lines to be at the same location due to the high density of A-lines per B-scan. Thus, the phase shifts between any two consecutive A-lines was proportional to the blood flow velocity projected along the beam axis. The Doppler phase images were obtained by taking the first derivative of the phase of complex OCT B-scans. When phase wrapping was observed, a correction was applied to resolve any 2π ambiguity. To reduce the phase shifts caused by the instrumental raster scan, each pair of counter-directional phase shift B-scans were averaged.

In this work, the absolute blood flow rate of vessels was calculated by multiplying a vessel’s xy plane (plane orthogonal to the beam axis) displayed cross-sectional area, Adisp, with its corresponding projective flow velocity,Vp. The principle flow rate, F, can be calculated using (7) where A is a vessel’s cross-sectional area and v is the flow velocity:

$$\begin{array}{*{20}{c}} {F = vA} \end{array}$$
(7)

v can be related to Vp through (8) and A can be related to Adisp through (9):

$$\begin{array}{*{20}{c}} {v = \frac{{V_{\mathrm{p}}}}{{{\mathrm{cos\theta }}}}} \end{array}$$
(8)
$$\begin{array}{*{20}{c}} {A = A_{{\mathrm{disp}}}{\mathrm{cos}}\theta} \end{array}$$
(9)

where θ is the angle between the blood vessel axis and the beam axis45. It can be seen that the cosine term cancels out when calculating F from Vp and Adisp and, therefore, the angle does not need to be considered. The en face projective flow maps were produced by assigning each pixel to the mean flow rate of all vessel segments projected onto this pixel from the surface to a depth of 300 μm. Adisp was measured by binarizing the absolute value of the phase shift intensity thresholded at π/50, while Vp was related to the phase shift from the calibration shown in Fig. 1e.

### Data processing for microvascular drO2 estimation

To estimate the mouse ear microvascular drO2 during the wound-healing response, we calculated the oxygen consumption (gas volume of the oxygen consumed per unit time) of major blood vessels18 according to the blood flow rate and sO2 measured by D2-ISOCT. We obtained an en face projection map of drO2 according to:

$${\mathrm{drO}}_2 = 1.34 \times C_{{\mathrm{Hb}}} \times F \times {\mathrm{sO}}_2$$
(10)

where 1.34 is the oxygen-binding capacity of hemoglobin (mL/g), CHb is 0.13 gm/L as the total hemoglobin concentration46, F is the microvascular blood flow rate of the major blood vessels, and sO2 is the approximate oxygen saturation of major blood vessels.

### Data processing for microvascular mrO2 estimation

To estimate the mouse ear microvascular mrO2 during the wound-healing response, we calculated the oxygen consumption difference between the arteriole and the venule18 according to their upstream mean blood flow rates and sO2 measured by D2-ISOCT:

$${\mathrm{mrO}}_2 = 1.34 \times C_{{\mathrm{Hb}}} \times (\bar F_{{\mathrm{arteriole}}} \times \overline {{\mathrm{sO}}_2} _{{\mathrm{arteriole}}} \\ - \bar F_{{\mathrm{venule}}} \times \overline {{\mathrm{sO}}_2} _{{\mathrm{venule}}})$$
(11)

where F¯arteriole and F¯ venule are the upstream mean flow rates of the arteriole and venule, respectively, and $$\overline {{\mathrm{sO}}_2} _{{\mathrm{arteriole}}}$$ and $$\overline {{\mathrm{sO}}_2} _{{\mathrm{venule}}}$$ are the upstream mean sO2 of the arteriole and venule, respectively.

### Pericapillary ultrastructural sensing

Pericapillary ultrastructural sensing was conducted by quantifying D from the directly measured visible STFT A-line intensity. In-depth details of how D can be related to the STFT A-line intensity are provided in the Supplementary Information- Approach for Obtaining Shape Factor D section. STFT A-lines used in the ultrastructural sensing were obtained using a Gaussian window size of 0.49/μm, which sampled the visible spectrum into 13 equally spaced narrow bands in k-space. The swept wavelength range was 507–702 nm. This gave an STFT bandwidth of 26.8 nm at 585.5 nm and relaxed the axial resolution to 12.6 μm. Normalized μb was first calculated using a STFT according to the above sweeping Gaussian window, followed by a least-square fitting to obtain D from the relationship that μb ~ k4−D. This relationship assumes that the tissue is a continuously random media21,23. The D values from blood vessels were excluded using the microangiography mask and the average D value for the pericapillary space was calculated from 90 to 200 µm in depth for each FOV. The en face ΔD projection maps (average of ΔD along depth from 90 to 200 µm) were shown with their value being the difference from their FOV average D value.

To illustrate the process of calculating D values from the spectra of nonvascular tissues, visible OCT measured spectra of nonvascular tissues and their D-fitted spectra are shown in Supplementary Information- Tissue Spectra and D Values. Example spectra are from nonvascular tissues within large and small ROIs, respectively.

### Statistical analysis of ultrastructure during wound healing

D2-ISOCT wound recovery monitoring was statistically investigated by performing a one-tailed Student’s t-test on the ΔD values from the pre-wounded (control) and wounded pericapillary tissue. The ΔD in the wounded sites was calculated from a manually placed ROI circle approximately 0.8 mm in diameter around the wound. The results are presented as the mean ± SEM. In principle, the granulation tissues formed during wound recovery consisted of highly disorganized collagen with higher intensities compared with normal non-invasive skin, leading to higher ΔD. Thus, we applied a one-tailed Student’s t-test for five or six independent wounds and calculated their p values at different time points from comparison with non-invasive control.