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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1218179</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2023.1218179</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Optical coherence tomography angiography allows longitudinal monitoring of angiogenesis in the critical-sized defect model</article-title>
<alt-title alt-title-type="left-running-head">Shen et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphy.2023.1218179">10.3389/fphy.2023.1218179</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Shen</surname>
<given-names>Yiyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2301263/overview"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Bu</surname>
<given-names>Jin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Lan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yao</surname>
<given-names>Lin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Feng</surname>
<given-names>Xiaoyan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2378548/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lin</surname>
<given-names>Jun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2022602/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Peng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1130775/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Stomatology</institution>, <institution>Key Laboratory of Oral Biomedical Research of Zhejiang Province</institution>, <institution>The First Affiliated Hospital</institution>, <institution>School of Stomatology</institution>, <institution>College of Medicine</institution>, <institution>Zhejiang University</institution>, <addr-line>Hangzhou</addr-line>, <addr-line>Zhejiang</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>State Key Laboratory of Modern Optical Instrumentation</institution>, <institution>College of Optical Science and Engineering</institution>, <institution>Zhejiang University</institution>, <addr-line>Hangzhou</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>The Affiliated Lihuili Hospital</institution>, <institution>Ningbo University</institution>, <addr-line>Ningbo</addr-line>, <addr-line>Zhejiang</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Intelligent Optics and Photonics Research Center</institution>, <institution>Jiaxing Research Institute</institution>, <institution>Zhejiang University</institution>, <addr-line>Jiaxing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1746670/overview">Chunhui Li</ext-link>, University of Dundee, United Kingdom</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/343640/overview">Mehmet Burcin Unlu</ext-link>, Bo&#x11f;azi&#xe7;i University, T&#xfc;rkiye</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2373570/overview">Duo Zhang</ext-link>, Johns Hopkins Medicine, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jun Lin, <email>linjun2@zju.edu.cn</email>; Peng Li, <email>peng_li@zju.edu.cn</email>
</corresp>
<fn fn-type="equal" id="fn001">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1218179</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Shen, Bu, Yu, Yao, Feng, Lin and Li.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Shen, Bu, Yu, Yao, Feng, Lin and Li</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>
<bold>Purpose:</bold> This study aims to evaluate the capability of optical coherence tomography angiography (OCTA) for imaging the microvasculature within a critical bone defect, to longitudinally observe vascular alterations, and quantify the microvascular density and morphology in a model of a critical-sized defect.</p>
<p>
<bold>Methods:</bold> An OCTA system was used to longitudinally monitor angiogenesis in four rat models presenting critical-sized defects with observations recorded on days 7, 14, and 28 post-defect creation. Simultaneously, angiogenesis in three additional rat models was evaluated through a conventional histological analysis involving hematoxylin and eosin staining.</p>
<p>
<bold>Results:</bold> OCTA was successful in acquiring <italic>in vivo</italic> 3D vascular perfusion mapping within the critical-sized defect, and it allowed for quantitative analysis of the microvasculature&#x2019;s density and morphology. The OCTA imagery of the blood microvasculature revealed a noticeable augmentation in the number and size of vessels, with more extensive vessel convergence observed on day 14 compared to both days 7 and 28. Complementing these observations, quantitative analysis demonstrated that the vessel area density (VAD) and maximum vascular diameter index (MVDI) were significantly larger on day 14 in comparison to measurements taken on days 7 and 28.</p>
<p>
<bold>Conclusion:</bold> Leveraging its ability to capture high-resolution images, OCTA facilitated longitudinal monitoring of angiogenesis in models of critical-sized defects. Therefore, it potentially serves as a non-invasive experimental tool beneficial for bone regeneration research.</p>
</abstract>
<kwd-group>
<kwd>optical coherence tomography angiography</kwd>
<kwd>critical-sized defect</kwd>
<kwd>angiogenesis</kwd>
<kwd>skull bone</kwd>
<kwd>histological analysis</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Optics and Photonics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>On a global scale, countless individuals grapple with alveolar bone deficiencies due to trauma, periodontal disease, and oral tumors [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>].The restoration of alveolar bone defects holds immense clinical significance [<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B4">4</xref>]. The bone, a highly vascularized tissue, demonstrates an exceptional ability for incessant healing and remodeling [<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B6">6</xref>]. Angiogenesis, which refers to the emergence of new microvessels from pre-existing capillary networks, is commonly recognized as a critical factor in osteogenesis, particularly when considering successful bone restoration [<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B8">8</xref>]. An ample early-stage blood supply often heralds a favorable prognosis for bone restoration [<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B10">10</xref>]. Therefore, acquiring real-time data on the formation of blood vessels in a deficient bone milieu is paramount.</p>
<p>The critical-sized defect model is widely utilized to gauge the efficacy of alveolar bone regeneration, following various surgical interventions; it is defined as the smallest defect size that precludes self-restoration [<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>]. However, in this framework, angiogenesis&#x2014;the essential precursor to osteogenesis in critical-sized defects&#x2014;proves challenging to assess [<xref ref-type="bibr" rid="B13">13</xref>]. Micro-CT and H&#x26;E staining are typically employed to evaluate the vascularity of the defect area [<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B11">11</xref>]. However, micro-CT necessitates invasive equipment, highly skilled personnel, and toxic contrast agents. In contrast, histological analysis requires animal sacrifice and is a time-intensive method due to the need for serial sectioning.</p>
<p>Optical coherence tomography angiography (OCTA) is an evolving optical imaging technique that facilitates the <italic>in vivo</italic> visualization of functional blood vessels by detecting OCT signal changes triggered by moving particles (such as red blood cells) [<xref ref-type="bibr" rid="B14">14</xref>&#x2013;<xref ref-type="bibr" rid="B16">16</xref>]. With its non-invasive characteristics and high-resolution capabilities [<xref ref-type="bibr" rid="B17">17</xref>, <xref ref-type="bibr" rid="B18">18</xref>], OCTA has swiftly found applications in scientific research and various clinical fields, including ophthalmology [<xref ref-type="bibr" rid="B19">19</xref>&#x2013;<xref ref-type="bibr" rid="B21">21</xref>], dermatology [<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B23">23</xref>], and stomatology [<xref ref-type="bibr" rid="B24">24</xref>&#x2013;<xref ref-type="bibr" rid="B27">27</xref>]. Recently, OCTA&#x2019;s potential has been harnessed to visualize cerebral microcirculation in animal models [<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>]. For instance, Li et al. deployed OCTA to longitudinally image cortical blood perfusion and tissue destruction in PT stroke models [<xref ref-type="bibr" rid="B30">30</xref>]. Recent investigations have evidenced OCTA&#x2019;s capacity to longitudinally monitor blood perfusion dynamics in the cerebral cortex of conscious mice, following ischemia [<xref ref-type="bibr" rid="B13">13</xref>]. In a chronic rat photothrombotic stroke model, Yang et al. effectively developed a chronic optical window and produced OCTA images to monitor blood supply [<xref ref-type="bibr" rid="B31">31</xref>]. However, to the best of our knowledge, no existing studies have documented the use of angiogenic OCTA imaging for regenerating skull bones.</p>
<p>In this study, we first performed a longitudinal examination of angiogenesis during bone healing in a critical-sized calvarial defect rat model by OCTA. Additionally, we quantified the angiogenic condition of the skull bone in terms of both density and morphology. The formulation of this method could provide a non-invasive experimental tool for the visualization and quantitative screening of angiogenesis in bone regeneration, especially in the early stages. Furthermore, it may also assist in investigating angiogenesis and osteogenesis mechanisms in critical-sized defect models.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 OCTA setup and scanning protocol</title>
<p>The imaging system used in this study is rooted in a swept-source OCT configuration, featuring a line scan rate of 100&#xa0;kHz. The swept source (SL131090, Thorlabs, Inc.) operated at a central wavelength of 1,300&#xa0;nm with a spectral bandwidth of 100&#xa0;nm, thereby delivering a measured axial resolution of 16&#xa0;&#xb5;m in air. As shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, the light source was bifurcated into two beams via Coupler1, subsequently traversing the sample and reference arms separately, which converged and interfered in Coupler2. Ultimately, a balanced detector was utilized to register interference signals and mitigate common-mode noise. Within the sample arm, an x&#x2013;y galvanometer was incorporated for 3D volume scanning, and a telecentric scan lens (<italic>f</italic> &#x3d; 36&#xa0;mm) was used to concentrate the probing light beam onto the area of interest. This configuration achieved a lateral resolution of approximately 23.4&#xa0;&#xb5;m and a depth of focus of approximately 108&#xa0;&#xb5;m.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic representation of the system setup.</p>
</caption>
<graphic xlink:href="fphy-11-1218179-g001.tif"/>
</fig>
<p>For volumetric imaging, a stepwise raster scanning protocol (z-x-y) was implemented, consisting of 2,048 pixels in each A-scan, 350 A-lines per B-scan (fast-scan, <italic>x</italic> direction), and 1,750 B-scans per volume (slow-scan, <italic>y</italic> direction). At 350 tomographic positions, five successive B-frames were obtained to compute dynamic flow signals and reduce the decorrelation noise in blood flow imaging. Each volume dataset required an acquisition time of 13.4&#xa0;s and spanned a 7&#x2a;7&#xa0;mm<sup>2</sup> spatial region in the x&#x2013;y plane.</p>
</sec>
<sec id="s2-2">
<title>2.2 Animal preparation</title>
<p>We procured male Sprague&#x2013;Dawley rats, aged 7&#xa0;weeks and weighing between 160 and 200&#xa0;g, from Hangzhou Medical College (certificate no. SCXK2019-0002). All rats were accommodated in individually ventilated cages within an experimental animal room (22&#xb0;C, 55% humidity, and 12/12-h light/dark cycle) and were provided with a standard laboratory diet and water. The Animal Experimentation Committee of The First Affiliated Hospital of Zhejiang University Medical College approved this study (no. 2022-1,125). After taking the measurements, the rats were humanely euthanized via excess anesthesia, effectively minimizing their discomfort.</p>
</sec>
<sec id="s2-3">
<title>2.3 Rat calvarial bone defect model</title>
<p>Following the establishment of general anesthesia with chloral hydrate (5%, 8&#xa0;mL/kg), the surgical area was shaved and the skin was cleansed with 70% ethanol. The dorsal region of the cranium was shaven and prepared aseptically for the surgical procedure. Skull bone exposure was achieved through a midline incision and spreading of the skin, fascial, and periosteal layers overlaying the calvarium&#x2019;s sagittal suture [<xref ref-type="bibr" rid="B32">32</xref>]. In rats, 5-mm calvarial defects are classified as critical-sized bone defects [<xref ref-type="bibr" rid="B33">33</xref>]. Initially, a 5-mm circular bone defect was created on the calvarial bone using a dental surgical drilling unit, consistently cooled with sterile saline. Subsequently, the calvarial bone was gently elevated to prevent dura tears. Concurrently, the midsagittal suture was circumvented to eliminate its contribution to bone restoration and minimize the risk of superior sagittal sinus damage 11. After thoroughly cleaning the area with physiological saline to remove all bone debris, the periosteal layer was meticulously sutured with 4-0 silk sutures (Ethicon, Somerville, NJ, United States) and the skin was closed using 3-0 silk sutures (Ethicon, Somerville, NJ, United States). The surgery day was designated as day 0.</p>
</sec>
<sec id="s2-4">
<title>2.4 OCT angiography for calvarial vascular imaging</title>
<p>On days 7,14, and 28, rats were individually restrained in the stereotaxic instrument under chloral hydrate (5%, 8&#xa0;mL/kg) anesthesia. The calvarial bone was exposed by reopening the midline incision and spreading the skin, fascia, and periosteal layers covering the sagittal line of the skull. Subsequently, the established OCT system was utilized to capture microvessel images at different time stages.</p>
</sec>
<sec id="s2-5">
<title>2.5 Data processing</title>
<p>Upon acquiring the raw spectral interferogram data <italic>S</italic> (<italic>k, x, y, t</italic>), a series of preprocessing steps and motion contrast OCTA were implemented to extract dynamic blood signals from the critical-sized calvarial defect rat model. Here, k denotes the wave number, x signifies the fast scan direction, y represents the slow scan direction, and t stands for the temporal index of adjacent B-scans at the same location. In detail, by executing a Fourier transformation of the k-direction, we can obtain the depth-resolved complex signal <italic>A</italic> (<italic>z, x, y, t</italic>) and generate a structural cross-sectional image via the amplitude component of <italic>A</italic>. By applying cross-correlation registration between adjacent B-frames, we compensate for minor skull displacement due to respiration [<xref ref-type="bibr" rid="B34">34</xref>]. Subsequently, we calculate the inter-frame complex decorrelation using a local kernel to achieve the OCTA motion contrast. Additionally, by merging the features of the inverse signal-to-noise ratio (SNR) and decorrelation (ID), we apply a vascular morphological mask with the adaptive signal-to-noise ratio to decorrelation mapping, thereby procuring angiography (ID-OCTA) [<xref ref-type="bibr" rid="B18">18</xref>].</p>
<p>To scrutinize the microvascular circulation during the longitudinal growth of the critical skull defect, the acquired angiography was bifurcated into two layers: the surface layer (from the surface to a depth of 483&#xa0;&#xb5;m) and the deep layer (from a depth of 483&#x2013;967&#xa0;&#x3bc;m). For the surface layer, after employing Gaussian filters to minimize noise, angiography was binarized with a global threshold. Subsequently, the parameters of the vessel area density (VAD) and maximum vascular diameter index (MVDI) of the projection view image were calculated to quantify the vascular structure alterations.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
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<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
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</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:msup>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>In this equation, A(x,y) symbolizes the white vessel pixels in the binary image, <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the side length of the image, and <inline-formula id="inf2">
<mml:math id="m4">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents the pixels of the vascular skeleton. VAD is obtained by calculating the ratio of white pixels to total pixels within the modeling area. The largest vascular region is manually selected, and MVDI is calculated by determining the ratio of white pixels to total pixels along the vessel length.</p>
</sec>
<sec id="s2-6">
<title>2.6 H&#x26;E histological analyses</title>
<p>Defect sites, along with surrounding bone and soft tissue, were dissected and preserved in 4% PFA. The specimens were then decalcified through immersion in an EDTA solution for 2&#xa0;weeks and embedded in paraffin. Transverse sections were created through the center of the calvarial defect and subjected to hematoxylin and eosin (H&#x26;E) staining. Histological examination was conducted under a microscope, complemented using a morphometric system connected to a personal computer. Measurements of five random 1-mm<sup>2</sup> fields from 10 slices in each group were used to calculate the microvessel density, with each count performed three times by the same individual, and the mean value was determined.</p>
</sec>
<sec id="s2-7">
<title>2.7 Statistical analysis</title>
<p>Statistical analyses were carried out using SPSS 26 software (IBM Corp., Armonk, NY, USA). All variables were measurement data and presented as mean &#xb1; standard deviation. The Kolmogorov&#x2013;Smirnov test was utilized to examine whether the data were normally distributed. For the variables of vessels with a normal distribution, the repeated measures ANOVA was performed, while the Friedman test was conducted for variables with a non-normal distribution. The bilateral test level was established at <italic>&#x3b1;</italic> &#x3d; 0.05, and <italic>p</italic>-values less than 0.05 were deemed statistically significant.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Result</title>
<sec id="s3-1">
<title>3.1 Histological analysis to visualize angiogenesis in the critical-sized defect model</title>
<p>Histological assessment of the specimens, conducted using H&#x26;E staining, revealed that, on day 7, nascent vessels had emerged from the periphery of the skull defect, accompanied by a small amount of connective tissue (<xref ref-type="fig" rid="F2">Figures 2A, D</xref>) By day 14, the bone had begun to form in the defects, extending from the external bone surface toward the central region of the defect, coupled with a noticeable increase in the number of blood vessels (<xref ref-type="fig" rid="F2">Figures 2B, E, G</xref>). At the 28-day mark, a heightened degree of irregular ossification was observed, with a thicker layer of connective tissue encompassing the critical-sized defects, particularly at the margins (<xref ref-type="fig" rid="F2">Figures 2C, F</xref>). The microvessel density on day 28 showed a marked increase compared to day 7 (<xref ref-type="fig" rid="F2">Figure 2G</xref>). However, there was no significant difference in the number of blood vessels on day 28 compared to day 14 (<xref ref-type="fig" rid="F2">Figure 2G</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Representative photographs that demonstrate the histological appearance of the calvarial defect with H&#x26;E staining on days 7 <bold>(A,D)</bold>, 14 <bold>(B,E)</bold>, and 28<bold>(C,F)</bold>. Scale bars for Figures <bold>(A&#x2013;C)</bold> are set at 400&#xa0;&#x3bc;m. Figures <bold>(D&#x2013;F)</bold> provide a high magnification view of the framed area of the preceding Figures <bold>(A&#x2013;C)</bold>, with scale bars set at 200&#xa0;&#x3bc;m. Newborn vessels are denoted by a red arrow, and the connective tissue is indicated by a black arrow. Microvessel density calculated from measurements of 1-mm<sup>2</sup> fields (Figure <bold>(G))</bold>.</p>
</caption>
<graphic xlink:href="fphy-11-1218179-g002.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 OCTA-enabled capillary level 3D blood perfusion mapping of the rat calvarial defect</title>
<p>Initially, <xref ref-type="fig" rid="F3">Figure 3A</xref> presents the schematic diagram of the areas imaged. As shown in the structure cross section in <xref ref-type="fig" rid="F3">Figure 3B</xref>, which aligns with the green dotted line cross section in 3D OCTA (<xref ref-type="fig" rid="F3">Figure 3E</xref>), the region between the yellow dotted lines marks the area of the critical-sized defect model. Due to the removal of the skull from the defect area in this model, the OCT probe light within the defect area was not attenuated by fibrous bone, thereby making deeper-layer structural information observable. An OCTA cross section was subsequently generated by analyzing the temporal dynamics of OCT scattering signals, resulting in the visualization of the enriched blood vessels in the deep layer. <xref ref-type="fig" rid="F3">Figures 3C, D</xref> showcase the projection view of the surface and deep layers in the depth direction, representing, respectively, the surface (from the surface to a depth of 483&#xa0;&#x3bc;m) and deep (from 483&#xa0;&#x3bc;m to a depth of 967&#xa0;&#x3bc;m) layers. As is evident, the vessel network in the surface tissue primarily consists of capillaries and neovascularization, while the vessel network at the deeper level comprises diving arterioles and ascending venules. A 3D perfusion map (<xref ref-type="fig" rid="F3">Figure 3E</xref>) was further accomplished by stacking a series of sequential cross-sectional angiograms. <xref ref-type="fig" rid="F3">Figure 3F</xref> shows the projection view of the 3D perfusion map in the depth direction, where the surface layer is represented by the pale yellow channel and the deep layer by the red-orange channel. Therefore, given its micron-scale vessel resolution and depth information, OCTA imaging merges as a robust technical method for monitoring 3D dynamic changes in the vascular structure within the critical-sized calvarial defect.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Motion-contrast OCTA-enabled <italic>in vivo</italic> 3D perfusion mapping in the critical-sized calvarial defect. <bold>(A)</bold> Schematic diagram of the imaged areas. <bold>(B)</bold> Cross-sectional structure and OCTA, with the cross-sectional angiogram corresponding to the green dotted line cross-section in 3D OCTA <bold>(E)</bold>. The region between the yellow dotted lines delineates the area of the critical-sized defect. The surface and deep layers are, respectively, located on either side of the red dotted line. <bold>(C)</bold> Surface layer (from surface to a depth of 483&#xa0;&#x3bc;m) and <bold>(D)</bold> deep layer (from 483&#xa0;&#x3bc;m to a depth of 967&#xa0;&#x3bc;m), which are projections of a sequence of cross-sectional OCTA in the depth direction. <bold>(E)</bold> OCTA 3D perfusion map generated by stacking a series of cross-sectional angiograms. <bold>(F)</bold> Projection view of the 3D perfusion map in the depth direction (surface: pale yellow channel and deep: red orange channel). The scale bar is set at 2&#xa0;mm.</p>
</caption>
<graphic xlink:href="fphy-11-1218179-g003.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 OCTA-enabled longitudinal monitoring of vascular response and quantifying microvascular density and morphology in the critical-sized defect model</title>
<p>We monitored the process of angiogenesis in areas exhibiting critical-sized defects on days 7, 14, and 28 post-surgery, utilizing OCTA scanning (<xref ref-type="fig" rid="F4">Figure 4</xref>). On day 7, diminutive blood vessels radiated from the lateral boundaries of the circular defect; however, the capillaries on one side barely connected with those on the opposite side (<xref ref-type="fig" rid="F4">Figure 4A</xref>). By day 14, a conspicuous increase was observed in both the number and size of vessels, which demonstrated extensive convergence within the circular skull defect (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Conversely, the vascular images on day 28 did not reflect a continuous growth in the number and dimensions of vessels (<xref ref-type="fig" rid="F4">Figure 4C</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Projection view of blood microvasculature by OCTA in rat&#x2019;s calvarial defect on days 7 <bold>(A)</bold>, 14 <bold>(B),</bold> and 28 <bold>(C)</bold>. The maximum vessel identified was outlined with a red arrow. The scale bar is set at 1&#xa0;mm.</p>
</caption>
<graphic xlink:href="fphy-11-1218179-g004.tif"/>
</fig>
<p>Additionally, vascular changes were quantified objectively by OCTA in critical-sized models at distinct time stages. Microvascular density was assessed using the VAD metric, while vessel morphology was quantified using the MVDI (<xref ref-type="fig" rid="F5">Figure 5</xref>). The calculated blood vessel density significantly increased to 0.509 on day 14 from 0.368 on day 7. However, the blood vessel density in the OCTA image significantly decreased to 0.374 on day 28 from that on day 14. Likewise, the indicators of the vessel diameter showed a significant increase to 771.50&#xa0;&#xb5;m on day 14 from 284.55&#xa0;&#xb5;m on day 7. The vessel diameter on day 28 (313.20&#xa0;&#xb5;m) significantly decreased compared to day 14.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Calculated blood vessel density <bold>(A)</bold> and maximum vessel diameter <bold>(B)</bold> from the OCTA images on days 7, 14, and 28. &#x201c;&#x2a;&#x2a;&#x201d; represents day 7 versus day 14 with <italic>p</italic> &#x3c; 0.01, and &#x27;&#x23;&#x23;&#x27; denotes day 14 versus day 28 with <italic>p</italic> &#x3c; 0.01.</p>
</caption>
<graphic xlink:href="fphy-11-1218179-g005.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>The present study highlights that three-dimensional imaging of angiogenesis in critical-sized bone lesions is feasible using OCTA methodologies. Additionally, the density and morphology of the microvasculature in rat calvarial bone defects were quantified <italic>in vivo</italic> using OCTA. The detailed and accurate information obtained from OCTA imaging offers a superior perspective in comparison to traditional histological analyses.</p>
<p>The conventional understanding dictates that a 5-mm calvarial bone defect can be classified as a critical-sized defect, suggesting that it represents the smallest defect size that may not spontaneously close without supplemental surgical intervention [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B35">35</xref>]. The critical-sized defect model is a commonly utilized framework in autologous bone grafting and tissue engineering research studies [<xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B12">12</xref>]. This model has the unique advantage of studying healing processes in orthotopic bone sites, making the results more physiologically relevant than those derived from ectopic bone production [<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B36">36</xref>, <xref ref-type="bibr" rid="B37">37</xref>]. It is crucial to note that the microvascular network nourishes surrounding tissues with essential nutrients and oxygen, playing an indispensable role in bone tissue repair [<xref ref-type="bibr" rid="B38">38</xref>]. Clinically, bone regeneration in large defects can only occur gradually, emanating from highly vascularized tissue [<xref ref-type="bibr" rid="B39">39</xref>]. Existing methodologies in bone tissue engineering are often hampered by delayed angiogenesis in the central area of the experimental scaffold, thereby contributing to the failure of defect healing [<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B40">40</xref>].</p>
<p>Historical experimental techniques for monitoring angiogenesis, such as microscopic analysis of histological sections or micro-CT angiography following perfusion, could only offer limited information [<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B42">42</xref>]. Moreover, these traditional methodologies were not viable for use in living animals and were only applicable post-euthanasia, thereby complicating both animal experimentation and clinical applications. OCTA, an emergent optical imaging technique rooted in OCT, facilitates dynamic vessel visualization with non-invasive attributes and micron-level resolution [<xref ref-type="bibr" rid="B43">43</xref>, <xref ref-type="bibr" rid="B44">44</xref>]. Consequently, to illustrate its utility in determining the early prognosis of bone defects, we performed OCTA to capture the healing trajectory of significant bone defects and quantify the acquired vascular information. In the pursuit of more precise and dependable outcomes, we have implemented a series of methodological enhancements in this study. Initially, the central wavelength of 1,300&#xa0;nm was used to augment the penetration depth. The skull bone is highly scattering biological tissue, and the scattering of light in the 1,300-nm band is relatively weak. Selecting a light source with this wavelength can reduce the scattering of light by biological tissue and help obtain reliable OCTA images. Subsequently, the technique of swept-source was adopted in our study. Compared with conventional OCTA technology, its signal-to-noise ratio can be substantially improved. Additionally, a step-by-step raster scanning protocol is also used to enhance the image quality of OCTA.</p>
<p>In this research, OCTA was used to procure microvascular data on critical-sized defects on days 7, 14, and 28. Neovascularization was observed to commence from the margin of the defect area on day 7, subsequently growing denser and more numerous on day 14 with extensive interweaving. These OCTA-derived findings corroborated our histological analyses and prior research insights [<xref ref-type="bibr" rid="B11">11</xref>]. Unexpectedly, a general decrease in vessel quantity and diameter in the skull defect location was recorded on day 28. The current literature posits that fibrous and early angiogenic cells infiltrate the defect area 3&#xa0;days following bone defect creation [<xref ref-type="bibr" rid="B45">45</xref>]. Approximately a week post-injury, blood vessels radiate from the peripheral areas of the periosteum [<xref ref-type="bibr" rid="B46">46</xref>]. Connective tissue then starts to envelop the critical-sized defect over roughly 14&#xa0;days [<xref ref-type="bibr" rid="B11">11</xref>]. Following this, initial and secondary bone formation occur from the outer surface of the bone toward the parietal dural surface near the defect approximately 14 and 21&#xa0;days post-fracture, respectively[<xref ref-type="bibr" rid="B46">46</xref>]. Given these established timelines, we hypothesize that, on day 28, the overlying connective tissue and the newly formed bone tissue at the edge impede the optical imaging equipment&#x2019;s light, leading to decreased vascular parameters. Our histological images corroborated this conjecture.</p>
<p>Notwithstanding, our study presents certain limitations. Foremost, our longitudinal studies incorporated few time points. Acquiring multiple blood vessel images heightens the risk of infection in experimental animals as OCTA data collection is time-consuming. Hence, we opted for critical vascularization time points to undertake imaging. In the next phase of research, we are working toward identifying an optimal optical window to enhance our imaging efficiency. This refinement will make the protocol more amenable to studies requiring frequent tracking. Second, as previously elucidated, the OCTA image on day 28 may be obfuscated by the gradual expansion of fibrous connective tissue and bone tissue, consequently affecting angiographic quality. Optical clearing is recognized as a potential technique to enhance bone penetration. However, we did not use this method in the current study due to concerns regarding its potential interference with the bone healing process. In our forthcoming research endeavors, we plan to explore strategies to circumvent this challenge.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>Optical coherence tomography angiography has successfully demonstrated its efficacy in enabling longitudinal tracking of angiogenesis during the bone healing process. When compared to traditional histological methodologies, OCTA delivers higher resolution and more accurate microvascular imaging. The parameters derived from VAD and MVDI show potential to function as objective markers in future vascular observations. Despite certain limitations related to long-term imaging, OCTA represents a promising, non-invasive tool that can substantially contribute to research in the field of bone regeneration.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7">
<title>Ethics statement</title>
<p>The animal study was approved by the Animal Experimentation Committee of The First Affiliated Hospital of Zhejiang University Medical College. The study was conducted in accordance with the local legislation and institutional requirements.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>JL and PL initiated the study design. YS and JB improved the OCTA system, performed the experiment, and wrote the original manuscript. LaY assisted in performing the experiment and editing the original manuscript. LiY and XF assisted in editing the original manuscript. JL and PL provided the essential suggestions. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This research was funded by the National Natural Science Foundation of China (no. 81970978) and the National Natural Science Foundation of China (no. 62075189).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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