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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">1220575</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2023.1220575</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Perspective</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Unraveling the biomechanical properties of collagenous tissues pathologies using synchrotron-based phase-contrast microtomography with deep learning</article-title>
<alt-title alt-title-type="left-running-head">Furlani 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.2023.1220575">10.3389/fphy.2023.1220575</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Furlani</surname>
<given-names>Michele</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Riberti</surname>
<given-names>Nicole</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Di Nicola</surname>
<given-names>Marta</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/566768/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Giuliani</surname>
<given-names>Alessandra</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/417664/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Odontostomatologic and Specialized Clinical Sciences Department</institution>, <institution>Universit&#xe0; Politecnica delle Marche</institution>, <addr-line>Ancona</addr-line>, <country>Italy</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Neurosciences Imaging and Clinical Sciences Department</institution>, <institution>University of Chieti-Pescara</institution>, <addr-line>Chieti</addr-line>, <country>Italy</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Medical Oral and Biotechnological Sciences Department</institution>, <institution>University of Chieti-Pescara</institution>, <addr-line>Chieti</addr-line>, <country>Italy</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/2147666/overview">Sandro Donato</ext-link>, Department of Physics, University of Calabria, Italy</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/2053564/overview">Maria Lasalvia</ext-link>, University of Foggia, Italy</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Alessandra Giuliani, <email>a.giuliani@univpm.it</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1220575</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Furlani, Riberti, Di Nicola and Giuliani.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Furlani, Riberti, Di Nicola and Giuliani</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>Mechanical stimuli are regulators not only in cells but also of the extracellular matrix activity, with special reference to collagen bundles composition, amount and distribution. Synchrotron-based phase-contrast computed tomography was widely demonstrated to resolve collagen bundles in 3D in several body districts and in both pre-clinical and clinical contexts. In this perspective study we hypothesized, supporting the rationale with synchrotron imaging experimental examples, that deep learning semantic image segmentation can better identify and classify collagen bundles compared to common thresholding segmentation techniques. Indeed, with the support of neural networks and deep learning, it is possible to quantify structures in synchrotron phase-contrast images that were not distinguishable before. In particular, collagen bundles can be identified by their orientation and not only by their physical densities, as was made possible using conventional thresholding segmentation techniques. Indeed, localised changes in fiber orientation, curvature and strain may involve changes in regional strain transfer and mechanical function (e.g., tissue compliance), with consequent pathophysiological implications, including developmental of defects, fibrosis, inflammatory diseases, tumor growth and metastasis. Thus, the comprehension of these kinetics processes can foster and accelerate the discovery of therapeutic approaches for the maintaining or re-establishment of correct tissue tensions, as a key to successful and regulated tissues remodeling/repairing and wound healing.</p>
</abstract>
<kwd-group>
<kwd>collagen</kwd>
<kwd>synchrotron radiation</kwd>
<kwd>phase-contrast</kwd>
<kwd>deep learning</kwd>
<kwd>wound healing</kwd>
<kwd>fibrosis</kwd>
<kwd>cancer</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Medical Physics and Imaging</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The collagen family consists of about 30 proteins, all structural molecules of great importance in the human body. The most abundant collagen is type I, which forms fibrillar networks that shape and strengthen tissues such as skin, tendons and bones. The three-dimensional structure and organization of these networks adapt to different tissue-specific functions. For example, collagen in weight-bearing tendons forms thick fibers (200&#xa0;nm) that are aligned along the tendon to optimize force transmission and tendon strength. Conversely, collagen in the cornea forms interwoven sheets of thin (&#x223c;30&#xa0;nm) fibers that provide strength combined with optical transparency. Moreover, collagen in interstitial tissue mainly forms isotropic networks, which provide mechanical strength combined with porosity to facilitate nutrient transport and cell migration [<xref ref-type="bibr" rid="B1">1</xref>].</p>
<p>Structure and mechanics of collagen determine not only the function of the tissue as a whole, but also the functions of the cells residing in the tissue. Collagen fibers provide cells with topographical, biochemical and mechanical signals, which regulate cell proliferation, differentiation, migration and apoptosis [<xref ref-type="bibr" rid="B2">2</xref>]. The mechanobiological interplay between cells and the surrounding collagen extracellular matrix is essential to guide physiological processes such as wound healing, but it can also trigger pathological processes [<xref ref-type="bibr" rid="B1">1</xref>]. Abnormal stiffening of interstitial collagen networks, for instance, promotes cell invasion, which contributes to fibrosis, cancer and metastasis [<xref ref-type="bibr" rid="B3">3</xref>].</p>
<p>The relation between collagen structure and its biomechanics has triggered a long history of research: in fact, it has been known for some time that collagen shows a non-linear elasticity due to a stiffening induced by deformation [<xref ref-type="bibr" rid="B4">4</xref>]. This mechanical design allows tissues such as skin and arteries to be soft at low strain but stiff at high strain, providing mechanical stability under large loads [<xref ref-type="bibr" rid="B5">5</xref>]. However, the complex architecture of collagenous tissues, which is structured on different dimensional scales, makes it difficult to identify the structural basis of the stiffening response following deformation. Tissues contain networks of bundles of fibrils, which in turn contain hundreds of molecules per cross section packed into an axially ordered lattice [<xref ref-type="bibr" rid="B6">6</xref>]: in fact, thanks to X-ray scattering studies, it has been known for decades that multiple mechanisms operating on different length scales contribute to the overall mechanical response at the tissue level [<xref ref-type="bibr" rid="B7">7</xref>]. In this context, using X-ray diffraction data, a model of the nanomechanics of a collagen microfibril that incorporates the full biochemical details of the amino acid sequence of constituting molecules and the nanoscale molecular arrangement was presented and experimentally validated. They found that collagen molecules alone are unable to provide the wide range of mechanical functionality required for the physiological function of collagenous tissues. Instead, a number of deformation mechanisms, due to the material&#x2019;s hierarchical composition, are critical to the material&#x2019;s ability to impart the key mechanical properties, i.e., the large extensibility, strain hardening, and toughness [<xref ref-type="bibr" rid="B6">6</xref>].</p>
<p>For a long time it was also believed that, during wound healing, tissue tension was attributed to forces produced by tissue-resident (myo-)fibroblasts alone; conversely, it was recently found in a wound healing model that the storage of tensile forces in the collagen bundles of the extracellular matrix has a significant, so-far neglected contribution to macroscopic tissue tension (<xref ref-type="fig" rid="F1">Figure 1</xref>) [<xref ref-type="bibr" rid="B8">8</xref>]. Thus, in general, the rate of collagen deposition determines the amount of macroscopic contraction and tension of the regenerating tissues, which is important for restoring their function. Increased contraction, however, is associated with conditions such as fibrosis and cancer. Indeed, if the tissue begins to stiffen, these cells produce more collagen, disrupting this balance. This increases the stiffness of the organ, stimulating the fibroblasts to release even more collagen. However, while this explains how fibrosis progresses, it is less clear how the cycle begins [<xref ref-type="bibr" rid="B9">9</xref>].</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Tissue formation and tensioning process. After initial cell diffusion and adhesion to a scaffold (1), cells progressively deposit tense collagen fibrils (black arrows, 2) leading to a gradual increase in total force resulting in macroscopic contraction (3). The amount of macroscopic force exceeds the sum of individual cell forces or contributions from non-fibrillar ECM networks, demonstrating that fibrillar collagen forces strongly contribute to tissue contraction during wound healing ([<xref ref-type="bibr" rid="B8">8</xref>]; <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">CC-BY-4.0</ext-link>).</p>
</caption>
<graphic xlink:href="fphy-11-1220575-g001.tif"/>
</fig>
</sec>
<sec id="s2">
<title>2 Contribution of synchrotron-based phase-contrast imaging</title>
<p>The study of structural morphology of collagen fibers seems to be crucial to better understand the biological events associated with wound healing, fibrosis, tumorigenesis and metastasis, and patients&#x2019; stratification. Only an advanced three-dimensional (3D) characterization of the collagenous tissue could improve our knowledge of its structure.</p>
<p>In this framework, high-resolution synchrotron-based X-ray tomographic microscopy was shown to be a useful tool in analyzing topology and morphometry of structures in 3D collagen matrices for more than 10 years [<xref ref-type="bibr" rid="B10">10</xref>,<xref ref-type="bibr" rid="B11">11</xref>].</p>
<p>In particular, X-ray phase-contrast imaging (XRPCI) represents a powerful method to study the microarchitecture of collagenous tissues. Indeed, while the conventional absorption-based contrast originates from attenuation mismatches between different tissues inside a sample, the XRPCI contrast is due to the phase-shift &#x3b4; of the refractive index n &#x3d; 1 &#x2212; &#x3b4; &#x2b; i&#x3b2;, representing the interaction of X-ray photons with the tissues. The &#x3b4; shift, in non-mineralized biological tissues like collagenous tissues, can be up to three orders of magnitude larger than the attenuation complex value &#x3b2;, allowing to achieve a reliable 3D imaging, with increased contrast, for the analysis of several organs/tissues.</p>
<p>In the last 25&#xa0;years, different approaches for phase-based X-ray imaging methods have been explored and are nowadays widely applied. The most diffused phase sensitive methods are propagation-based imaging [<xref ref-type="bibr" rid="B12">12</xref>&#x2013;<xref ref-type="bibr" rid="B14">14</xref>], analyzer-based imaging [<xref ref-type="bibr" rid="B15">15</xref>,<xref ref-type="bibr" rid="B16">16</xref>], edge illumination [<xref ref-type="bibr" rid="B17">17</xref>&#x2013;<xref ref-type="bibr" rid="B19">19</xref>], Talbot (or Grating) X-ray interferometry [<xref ref-type="bibr" rid="B20">20</xref>&#x2013;<xref ref-type="bibr" rid="B22">22</xref>]. The propagation-based imaging is the simplest one, as no optical elements are needed in the beam and there is no constraint for beam monochromaticity.</p>
<p>In this context, in the last 10&#xa0;years, the study of collagenous tissues by synchrotron radiation-based high-resolution phase-contrast tomography (SR-PhC-microCT) spread rapidly. In particular, SR-PhC-microCT was successful in detecting, with high spatial resolution, the 3D structural organization of the extracellular matrix (ECM) within bioscaffolds, supporting the understanding on how the presence of cells modified the construct arrangement [<xref ref-type="bibr" rid="B23">23</xref>,<xref ref-type="bibr" rid="B24">24</xref>]). Moreover, SR-PhC-microCT successfully imaged collagenous tissues in osteons [<xref ref-type="bibr" rid="B25">25</xref>,<xref ref-type="bibr" rid="B26">26</xref>], intervertebral discs [<xref ref-type="bibr" rid="B27">27</xref>], dermal tissues [<xref ref-type="bibr" rid="B28">28</xref>], cartilages [<xref ref-type="bibr" rid="B29">29</xref>], vessels [<xref ref-type="bibr" rid="B30">30</xref>], meniscus tissue [<xref ref-type="bibr" rid="B31">31</xref>], tendons [<xref ref-type="bibr" rid="B32">32</xref>,<xref ref-type="bibr" rid="B33">33</xref>], liver [<xref ref-type="bibr" rid="B34">34</xref>,<xref ref-type="bibr" rid="B35">35</xref>], cardiac endomyocardium [<xref ref-type="bibr" rid="B36">36</xref>], uterine myometrium and leiomyomas [<xref ref-type="bibr" rid="B37">37</xref>,<xref ref-type="bibr" rid="B38">38</xref>], vocal folds [<xref ref-type="bibr" rid="B39">39</xref>] and neck of dental implants [<xref ref-type="bibr" rid="B40">40</xref>], demonstrating the capability of this method to discriminate healthy and pathologic tissues.</p>
</sec>
<sec id="s3">
<title>3 The perspective of introducing deep learning-based image analysis</title>
<p>There are limitations associated with the use of synchrotron-based phase contrast imaging for the unraveling of the biomechanical properties of collagenous tissues pathologies. For example, limited synchrotron availability hampers the time it takes to produce more replicas; synchrotron structures can be accessed on the basis of a peer review application and are not as widely available as other imaging techniques. Second, experiments are usually limited to the capabilities of the beamline, i.e., the samples studied must fit the field of view and resolution of the beamline. For a synchrotron (parallel) beam, the field of view is ultimately limited by the size of the beam; therefore, a trade-off between field of view and resolution must be reached. Moreover, further studies are needed to establish parameters that can be used as reliable quantitative measures of image structures to describe tissue quality and/or function. With reference to this last point, many studies underline the need to quantitatively determine the complexity of the shape of the collagenous tissues; in particular, it is essential to quantitatively evaluate the preferential directions of the collagenous bundles and their connectivity degree [<xref ref-type="bibr" rid="B1">1</xref>,<xref ref-type="bibr" rid="B28">28</xref>,<xref ref-type="bibr" rid="B40">40</xref>].</p>
<p>To overcome this last limitation, i.e., the difficulty of quantifying the direction and connectivity of collagen bundles in all tissue contexts, an interesting perspective is offered by artificial intelligence (AI) and in particular by deep learning (DL) algorithms. Very recently, we demonstratively showed that AI could be applied directly on high-resolution images acquired by synchrotron-based phase contrast tomography to automatically segment the collagen bundles of the connective tissue surrounding dental implants [<xref ref-type="bibr" rid="B41">41</xref>]. Artificial neural networks have been able to distinguish the inner portions of the soft tissue not only based on the grey levels of the synchrotron image, as conventional thresholding methods do, but also based on the orientation of the collagen bundles themselves. In this way, it was possible to quantitatively distinguish longitudinal and transverse peri-implant collagen bundles, with evidence of the timing and methods of formation of the connective tissue around the implant during the wound healing process (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Connective tissue rearrangement around a dental implant during the wound healing process. The semantic segmentation, with a training based on three classes, allows to distinguish not only background (light blue) from connective tissue signals but also, unlike conventional threshold-based segmentation, transversal bundles (yellow) from longitudinal bundles (dark blue). <bold>(A)</bold> 3D reconstruction <bold>(B&#x2013;D)</bold> sampling <bold>(B)</bold> sagittal, <bold>(C)</bold> axial and <bold>(D)</bold> frontal slices. Freeze frame from Supplementary Video S1 in Ref ([<xref ref-type="bibr" rid="B41">41</xref>]; <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">CC-BY-4.0</ext-link>).</p>
</caption>
<graphic xlink:href="fphy-11-1220575-g002.tif"/>
</fig>
<p>In particular, the semantic segmentation method used by us assigns a label to each pixel of the synchrotron images, based on the morphometric characteristics of the image; for example, if two objects within the image have different shapes or directions, they will be classified as two distinct subgroups.</p>
<p>The use of the semantic segmentation method involves neural networks: U-Net, a convolutional neural network (CNN) designed for segmentation of biomedical images [<xref ref-type="bibr" rid="B42">42</xref>], proved to be a good choice in the case of collagenous tissues [<xref ref-type="bibr" rid="B41">41</xref>]. With the support of neural networks and deep learning, it has been possible to quantify structures in the samples that had not previously been considered. In particular, the collagen bundles were identified by their orientation and not by their physical density: this is essential to discriminate transverse and longitudinal bundles which, up to now, could not be distinguished using conventional thresholding techniques since their physical density is identical. In practice, we succeeded in creating a neural network capable of separating longitudinal and transverse fibers via U-Net. Furthermore, regarding the connectivity density parameter, it was observed that results obtained in deep learning were higher for all samples than those obtained with conventional thresholding; this fact is certainly attributable to an increased capability to discriminate collagen bundles and therefore their connectivity through artificial intelligence protocols.</p>
<p>In summary, we observed that the introduction of DL-based image analysis allows for a better investigation of the directionality (isotropy/anisotropy) and connectivity of the collagen bundles. These results provide a new method to understand the relationship between collagen network mechanics and microstructure under a broad range of assembly conditions and tissue districts.</p>
<p>Therefore, in the present prospective study, we suggest that the microscopic information on collagen network isotropy/anisotropy and connectivity are parameters that can be easily determined by synchrotron-based phase-contrast imaging processed by DL-based data analysis. These morphometric data of shape complexity are of fundamental importance because they are able to reliably reveal correlations with macroscopic measurements of the nonlinear elastic behavior of collagenous tissues.</p>
<p>In this direction, an immediate challenge is to understand the most suitable sample size to obtain effective and statistically consistent data in the various pathophysiological and tissue regeneration contexts. Our first study in a regenerative context revealed, using a very small sample size, significant differences in the two parameters of interest, namely, the connectivity and the degree of orientation of the collagen bundles [<xref ref-type="bibr" rid="B41">41</xref>]. However, it is necessary to be very careful and scrupulous in this area because other studies in the field of oral implantology [<xref ref-type="bibr" rid="B43">43</xref>] suggest the need for a larger sample size, at least 8&#x2013;10 samples per group of study, to obtain possible statistically significant mismatches of the same parameters during clinical staging. Furthermore, a high rigor is needed also in the choice of statistical methods of investigation, evaluating the opportunity to use tests that can release at least two statistical parameters, i.e., the normality and the equivariance of the sampled data distribution.</p>
<p>In fact, especially in tumor contexts, there may be evident morphometric heterogeneities that require advanced statistical tools and, in any case, also the systematic comparison with histopathological findings. To this purpose, an innovative multidisciplinary approach based on SR-PhC-microCT, light and electron microscopy, and Fourier Transform Infrared Imaging Spectroscopy was recently exploited to better characterize microstructural collagen features [<xref ref-type="bibr" rid="B38">38</xref>]. Indeed, the cross-linking of high-resolution analytical tools, combining the investigation of the tridimensional organization and of the secondary structure of collagen, was shown to be useful to identify defined markers correlating the status of this protein with specific pathological conditions.</p>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>The DL-based analysis applied to synchrotron-based phase contrast imaging was successfully used not only in studying wound healing but also to detect liver fibrotic progress, including the early stages [<xref ref-type="bibr" rid="B44">44</xref>], and osteoarthritis [<xref ref-type="bibr" rid="B45">45</xref>]. In these cases, the feasibility of extracting texture features for quantified diagnosis was shown, evaluating the performance of back propagation (BP) neural net classifier [<xref ref-type="bibr" rid="B44">44</xref>] or CNNs [<xref ref-type="bibr" rid="B45">45</xref>]. These studies showed that these approaches were effective for staging the pathologies, supporting our perspective idea to reliably reveal, by AI approaches, correlations between the 3D micro-texture and the macroscopic nonlinear elastic behavior of collagenous tissues.</p>
<p>In addition to the already shown impact of AI-based workflows in studying wound healing and fibrosis processes, it could be extremely important to apply the same method in future studies aimed at finding the potential influence of organization and function of collagen on tumor invasion and metastasis. In fact, some studies already suggest that the quantification of collagen and its directionality determine a new practicable paradigm for the prediction of cancer survival [<xref ref-type="bibr" rid="B46">46</xref>]. Indeed, several characteristics of the tumor ECM have been associated with progression to metastases. Notably, dense collagen regions are often co-localized with aggressive tumor cell phenotypes in numerous solid tumors, including breast, ovarian, pancreatic, and brain cancers. Furthermore, collagen fibers scattered and aligned at the edges of tumors have also been reported to correlate with aggressive disease [<xref ref-type="bibr" rid="B47">47</xref>].</p>
<p>In conclusion, combining synchrotron-based phase-contrast microtomography with deep learning-based image segmentation was shown to be a promise method to localise changes in collagen fiber orientation, curvature and strain. This may be correlated to changes in regional strain transfer and mechanical function (e.g., tissue compliance). The full comprehension of these processes would allow to achieve, as final targeting objective, a quantitative intelligible framework to redirect collagen networks towards the desired mechanical properties, which is useful for the mechano-regulation of cell migration, wound healing, and tissue morphogenesis.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>MF, NR, and AG contributed to conception and design of the study. AG wrote the first draft of the manuscript. MF, NR, and MDN wrote sections of the manuscript. All authors contributed to manuscript revision, read, and approved the submitted version.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>The APC costs were funded by the University Research Funds (responsible: AG).</p>
</sec>
<ack>
<p>Figure 2 was generated using Dragonfly software, Version 2022.1 for Windows, Object Research Systems (ORS) Inc., Montreal, Canada, 2020; software available at <ext-link ext-link-type="uri" xlink:href="http://www.theobjects.com/dragonfly">http://www.theobjects.com/dragonfly</ext-link> (accessed on 30 January 2023).</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<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="s9">
<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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