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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mech. Eng</journal-id>
<journal-title>Frontiers in Mechanical Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mech. Eng</abbrev-journal-title>
<issn pub-type="epub">2297-3079</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1185231</article-id>
<article-id pub-id-type="doi">10.3389/fmech.2023.1185231</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Mechanical Engineering</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A critical review of experimental analyses performed on animals, post-mortem human subjects, and substitutes to explore primary blast-induced Traumatic Brain Injuries</article-title>
<alt-title alt-title-type="left-running-head">Elster 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/fmech.2023.1185231">10.3389/fmech.2023.1185231</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Elster</surname>
<given-names>Natacha</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/2230236/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Boutillier</surname>
<given-names>Johanna</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1486627/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Magnan</surname>
<given-names>Pascal</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2340984/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Naz</surname>
<given-names>Pierre</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1598403/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Willinger</surname>
<given-names>R&#xe9;my</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Deck</surname>
<given-names>Caroline</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>French-German Research Institute of Saint Louis</institution>, <addr-line>Saint-Louis</addr-line>, <country>France</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>ICube Laboratory</institution>, <institution>Strasbourg University</institution>, <addr-line>Strasbourg</addr-line>, <country>France</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/1279512/overview">Majid Baniassadi</ext-link>, University of Tehran, Iran</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/1148572/overview">Yuan Feng</ext-link>, Shanghai Jiao Tong University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1658203/overview">Mohammad Ali Nazari</ext-link>, University of Tehran, Iran</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Natacha Elster, <email>Natacha.elster@isl.eu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>9</volume>
<elocation-id>1185231</elocation-id>
<history>
<date date-type="received">
<day>13</day>
<month>03</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Elster, Boutillier, Magnan, Naz, Willinger and Deck.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Elster, Boutillier, Magnan, Naz, Willinger and Deck</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>Although blast-induced Traumatic Brain Injury (bTBI) has become a signature wound of conflict, its cause is not yet fully understood. Regarding primary blast injuries, i.e., those caused by the propagation of shock waves in the body, four direct and two indirect injury mechanisms have been mainly proposed in the literature. Since numerous authors have exposed instrumented animals, Post-Mortem Human Subjects (PMHS), and head substitutes to blast conditions, the aim of this review is to classify them in terms of threat, instrumentation, and investigated mechanisms. In the first part, data are collected from 6 studies on PMHS, 1 on primates, 11 on rodents, and 6 on swine for comparison purposes. Peak amplitudes of reflected pressures, intracranial pressures and cranial strains are extracted and analyzed to establish trends. Despite the small number of comparable studies, several similarities can be highlighted. Indeed, the analyses revealed a dose-response effect for most measurements. The results also depend on the orientation of the subject (forward, backward, and sideways) for the PMHS, primates, and swine. The second goal of this review is to evaluate the behavior of substitutes developed to replace PMHS experiments. Shell strains and internal pressures are thus collected on 19 geometric and anthropomorphic substitutes to assess whether they faithfully represent a human head. The results showed that these substitutes are for the most part not properly designed and therefore cannot yet reliably replace PMHS experimental data.</p>
</abstract>
<kwd-group>
<kwd>experimental testing</kwd>
<kwd>injury mechanisms</kwd>
<kwd>literature review</kwd>
<kwd>primary blast</kwd>
<kwd>Traumatic Brain Injury</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Biomechanical Engineering</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In the current context of terrorist attacks and armed conflicts, explosive devices have become a common threat. Since the Second World War, more than 65% of war injuries are caused by the detonation of Improvised Explosive Devices (IEDs) (<xref ref-type="bibr" rid="B6">Belmont et al., 2010</xref>). Soldiers exposed to such phenomena are usually affected on multiple body parts (<xref ref-type="bibr" rid="B10">Champion et al., 2003</xref>). In particular, the head-neck segment is a vital and vulnerable area to this specific threat since it encloses the brain, bathing in the cerebrospinal fluid (CSF). This fact is supported by the increase in Traumatic Brain Injuries (TBIs) reported in the U.S. Armed Forces, whose incidence has doubled between 2000 and 2018 (<xref ref-type="bibr" rid="B24">DVBIC, 2020</xref>). These numbers can be further correlated with the massive use of IEDs on the battlefield: between 2001 and 2007, 63% of TBIs were caused by explosions (<xref ref-type="bibr" rid="B77">Wojcik et al., 2010</xref>). The symptoms of TBI may include memory loss, attention troubles and headaches (<xref ref-type="bibr" rid="B73">Trudeau et al., 1998</xref>; <xref ref-type="bibr" rid="B44">McGruk et al., 2008</xref>; <xref ref-type="bibr" rid="B76">Warden et al., 2009</xref>; <xref ref-type="bibr" rid="B57">Rosenfeld et al., 2013</xref>; <xref ref-type="bibr" rid="B43">Magnuson and Ling, 2018</xref>), but also severe brain damage such as convulsions, seizures and cerebral vasospasms (<xref ref-type="bibr" rid="B4">Armonda et al., 2006</xref>; <xref ref-type="bibr" rid="B33">Hicks et al., 2010</xref>). Hence, it is conspicuous that blast-induced Traumatic Brain Injury (bTBI) represents a societal cost and that understanding their injury mechanisms remains a critical milestone in the field.</p>
<p>Several studies characterize the physics of IEDs and describe the four phases of the &#x201c;blast phenomenon&#x201d;: the propagation of shock waves in the ambient air (primary phase), the penetration of debris and fragments energized from the munition and the environment (secondary phase), acceleration and deceleration effects (tertiary phase); and finally, miscellaneous effects such as thermal, chemical, pathogenic agents, etc. (quaternary phase) (<xref ref-type="bibr" rid="B70">Sochet, 2017</xref>; <xref ref-type="bibr" rid="B48">Needham, 2010</xref>). TBI can be caused by all blast phases (<xref ref-type="bibr" rid="B23">Depalma et al., 2005</xref>), nonetheless this study focuses solely on the propagation of shock waves. In free-field conditions, this shock wave results from the local compression of the surrounding air following the detonation of explosive charges. Its time evolution can be approximated by a quasi-ideal signal, known as the Friedlander waveform. The latter is characterized by an initial overpressure that reaches a maximum value called the incident pressure. The wave then decays exponentially, first in a positive phase lasting a few milliseconds, and later in a negative phase. Finally, the wave stabilizes at the ambient pressure level. To obtain quasi-ideal shock waves on a laboratory scale, shock tubes are often used. Under these conditions, a single planar shock wave can be observed inside the tube at an optimized distance from its end, while outside the shock tube the waveform becomes three-dimensional and is accompanied by a jet wind.</p>
<p>In order to understand the cerebral lesions observed during a blast exposure, several experiments have been performed on animals that were exposed to shock waves considering either free-field or shock tube conditions. Autopsies have been carried out and numerous cerebral lesions have been observed, such as vascular lesions (<xref ref-type="bibr" rid="B53">Readnower et al., 2010</xref>; <xref ref-type="bibr" rid="B55">Reneer et al., 2011</xref>; <xref ref-type="bibr" rid="B54">Reneer et al., 2014</xref>; <xref ref-type="bibr" rid="B37">Kabu et al., 2015</xref>; <xref ref-type="bibr" rid="B75">Walls et al., 2016</xref>), encephalic lesions (<xref ref-type="bibr" rid="B41">Kuehn et al., 2011</xref>; <xref ref-type="bibr" rid="B1">Ahlers et al., 2012</xref>; <xref ref-type="bibr" rid="B31">Gullotti et al., 2014</xref>; <xref ref-type="bibr" rid="B37">Kabu et al., 2015</xref>), and axonal injuries (<xref ref-type="bibr" rid="B62">S&#xe4;lj&#xf6; et al., 2000</xref>; <xref ref-type="bibr" rid="B59">Rubovitch et al., 2011</xref>; <xref ref-type="bibr" rid="B38">Kallakuri et al., 2015</xref>). Nevertheless, these observations alone were not sufficient to explain bTBI: animals, <italic>Post-Mortem Human Subjects</italic> (PMHS), as well as head substitutes were thus instrumented with pressure sensors and strain gauges to further investigate. The results obtained were the basis for proposing six non-exclusive injury mechanisms (<xref ref-type="bibr" rid="B17">Courtney and Courtney, 2015</xref>; <xref ref-type="bibr" rid="B51">Ouellet and Philippens, 2018</xref>). These mechanisms are divided into two categories, depending on how the blast wave affects the head: direct and indirect. The four direct mechanisms are first a direct cranial entry of the waves through the foramina, a propagation through the head layers due to successive acoustic impedance mismatches called a transosteal propagation (<xref ref-type="bibr" rid="B15">Clemedson and Pettersson, 1955</xref>; <xref ref-type="bibr" rid="B14">Chavko et al., 2011</xref>; <xref ref-type="bibr" rid="B72">Sutar and Ganpule, 2019</xref>), a skull deflection that could cause cerebral lesions (<xref ref-type="bibr" rid="B7">Bolander, 2012</xref>; <xref ref-type="bibr" rid="B11">Chandra and Sundaramurthy, 2015</xref>; <xref ref-type="bibr" rid="B63">Salzar et al., 2017</xref>), and finally a cavitation phenomenon leading to the formation and collapse of microscopic bubbles in the cerebrospinal fluid (<xref ref-type="bibr" rid="B63">Salzar et al., 2017</xref>). On the other hand, two indirect mechanisms have been proposed: a relative brain/skull motion caused by head acceleration (<xref ref-type="bibr" rid="B40">Knudsen and &#xd8;en, 2003</xref>; <xref ref-type="bibr" rid="B31">Gullotti et al., 2014</xref>), and a compression of the thorax which could cause a pressure surge in the brain (<xref ref-type="bibr" rid="B16">Courtney and Courtney, 2009</xref>; <xref ref-type="bibr" rid="B58">Rubio et al., 2020</xref>). Each of the aforementioned studies were designed to investigate a specific injury mechanism; however, to date there exists no comparative study of all the mechanical metrics measured in the literature.</p>
<p>Hence, this paper aims to present the up-to-date research on instrumented experimental analyses performed to investigate primary bTBI. For this purpose, a summary is first made of the findings from studies exposing PMHS, large mammals, rodents and head substitutes to single blast waves. In a second part, measurements of metrics collected from those studies, such as cranial strains, reflected and intracranial pressures (ICPs), are compared and analyzed between species to establish specific trends and to investigate the proposed injury mechanisms.</p>
</sec>
<sec id="s2">
<title>2 Experimental analyses performed in the literature</title>
<p>This section reviews the 43 experimental studies in the literature in which instrumented animals, PMHS, and substitutes were exposed to the propagation of a single shock wave. The goal of each of these studies was to investigate one injury mechanism by measuring mechanical metrics against a specific shock wave. For the sake of comparison between the various studies, these shock waves are characterized here only in terms of their incident pressure Pi and positive phase duration T<sup>&#x2b;</sup> when available, since reflected pressures and impulses are detailed in only a limited number of studies in the literature. In the following, the PMHS conventions are used to describe the location of the sensors mounted on the head of each subject, as illustrated in <xref ref-type="fig" rid="F1">Figure 1A</xref>. The same applies to the orientation of the subject relative to the direction of propagation of the shock wave (<xref ref-type="fig" rid="F1">Figure 1B</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Illustration of experimental tests exposing PMHS for the investigation of blast-induced Traumatic Brain Injury. <bold>(A)</bold> Location of mounted sensors. <bold>(B)</bold> Orientation of test subjects to the propagation of shock waves.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g001.tif"/>
</fig>
<sec id="s2-1">
<title>2.1 Studies on large mammals</title>
<p>First, a total of 6 studies were performed to expose large mammals to blast conditions, more specifically swine and monkeys. A wide test range was considered for these studies, with incident pressures ranging from 15&#xa0;kPa to 970&#xa0;kPa, and positive phase durations varying from 0.1 to 7.5&#xa0;ms.</p>
<p>In 1961 Romba et al. exposed 2 <italic>post-mortem</italic> rhesus monkeys to free-field blast conditions to investigate the thoracic compression mechanism (<xref ref-type="bibr" rid="B56">Romba and Martin, 1961</xref>). The monkeys were exposed with their head and thorax alternately protected to incident pressures in the range of 20&#x2014;930&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 0.1&#x2014;2.3&#xa0;ms). By quantifying the pressure differentials in the intracranial and intrathoracic cavities, the authors demonstrated a small contribution of the thoracic mechanism. The same conclusions were drawn by <xref ref-type="bibr" rid="B61">S&#xe4;lj&#xf6; et al. (2008)</xref> while exposing 6 <italic>post-mortem</italic> swine to a focal blast of 15&#xa0;kPa either to the head or thorax. Later, Bolander performed an <italic>in-vitro</italic> experiment on 5 swine to measure cranial strains and ICP to investigate the skull deflection hypothesis (<xref ref-type="bibr" rid="B7">Bolander, 2012</xref>). Subject orientation to the shock waves and sensor location effects were highlighted, and a relationship between strain and ICP was established: bowing of the cranial bones was correlated with an increase in ICP. <xref ref-type="bibr" rid="B67">Shridharani et al. (2012)</xref> evaluated the <italic>in-vivo</italic> biomechanical response of 20 swine, exposed to incident pressures of 107&#x2014;741&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 1.2&#x2014;6.4&#xa0;ms). ICPs were recorded, showing an attenuation of the wave amplitude within the cranial cavity compared to both reflected and incident pressures. Finally, Feng et al. exposed 5 swine to free-field conditions with incident pressures of 150&#xa0;kPa, 280&#xa0;kPa, 410&#xa0;kPa to record ICP, linear accelerations as well as angular velocities of their heads (<xref ref-type="bibr" rid="B26">Feng et al., 2016</xref>). Orientation, sensor location and dose-response effects were observed.</p>
</sec>
<sec id="s2-2">
<title>2.2 Studies on rodents</title>
<p>Experiments on large mammals are often difficult to perform because of their size. Hence, to facilitate experimental procedures, a common choice is to expose rodents inside or outside shock tubes, as done in 10 published studies. Rodents were exposed to shock waves in the incident pressure range of 8&#x2014;290&#xa0;kPa, with positive phase durations between 4 and 10&#xa0;ms.</p>
<p>Clemedson et al. exposed several instrumented rodents to blast waves of 40&#xa0;kPa in free-field conditions (<xref ref-type="bibr" rid="B15">Clemedson and Pettersson, 1955</xref>). These <italic>post-mortem</italic> rabbits were instrumented with pressure sensors in their intracranial and intrathoracic cavities. The internal pressures were amplified compared to the incident pressures. However, these results contradicted those of more recent studies, the first of which was performed by <xref ref-type="bibr" rid="B13">Chavko et al. (2007)</xref>. ICPs were measured inside the cranium of several <italic>in-vivo</italic> rats subjected to 40 &#xb1; 7&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 4.5&#xa0;ms) in forward and sideways orientations, and showed an amplitude equivalent to the incident pressures. In addition, experiments carried out by <xref ref-type="bibr" rid="B61">S&#xe4;lj&#xf6; et al. (2008)</xref> involving 2 rats subjected to 8.2 &#xb1; 0.4&#xa0;kPa outside a shock tube also recorded ICPs with amplitude equivalent to the incident pressures. On another note, <xref ref-type="bibr" rid="B14">Chavko et al. (2011)</xref> exposed rats to forward, sideways and backward orientations at 36 &#xb1; 2&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 4&#xa0;ms) to study the effects on ICP measurements, and showed non-deterministic variations. The same conclusions were reached in a study by Leonardi et al., in which 8 rats were exposed in various orientations to a 70&#xa0;kPa overpressure (T<sup>&#x2b;</sup> &#x3d; 7.5&#xa0;ms) (<xref ref-type="bibr" rid="B21">Dal Cengio Leonardi et al., 2012</xref>). The same authors performed experiments on 25 rats exposed with and without an eye patch to incident pressures of 69&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 7.5&#xa0;ms) to study ICP variations and evaluate the plausibility of the direct cranial entry mechanism, but no conclusive conclusions could be drawn (<xref ref-type="bibr" rid="B19">Dal Cengio Leonardi et al., 2011a</xref>). Later, <xref ref-type="bibr" rid="B8">Bolander et al. (2011)</xref> measured ICPs and cranial strains on 10 rats to further investigate the skull deflection hypothesis (Pi &#x3d; 69, 97, 117, 172&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 7.5&#xa0;ms). Moreover, two different studies recorded ICPs, reflected pressures as well as intrathoracic pressures on 5 rats each, with incident pressures of 100&#x2014;225&#xa0;kPa for (<xref ref-type="bibr" rid="B71">Sundaramurthy et al., 2012</xref>) and 130&#x2014;290&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 4&#x2014;10&#xa0;ms) for (<xref ref-type="bibr" rid="B68">Skotak et al., 2013</xref>). The aim was to investigate the thoracic mechanism, and for that same purpose, a recent study by <xref ref-type="bibr" rid="B58">Rubio et al. (2020)</xref> measured ICPs and carotid artery pressures of 16 <italic>in-vivo</italic> rats (Pi &#x3d; 75, 133&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 4&#x2014;5&#xa0;ms)<italic>.</italic> Contradictory results were found between the <italic>post-mortem</italic> and <italic>in-vivo</italic> studies.</p>
</sec>
<sec id="s2-3">
<title>2.3 Studies on PMHS</title>
<p>Although animal experiments are important for understanding the emergence of cerebral lesions in <italic>in-vivo</italic> subjects, conducting experiments on <italic>Post-Mortem Human Subjects</italic> (PMHS) is a crucial step. Six studies were performed in the literature using 18 PMHS heads. The brains of 7/18 PMHS were removed and replaced with substitutes such as gels or saline solutions (PMHS-Substitute) (<xref ref-type="bibr" rid="B66">Shah et al., 2011</xref>; <xref ref-type="bibr" rid="B65">Ganpule et al., 2013a</xref>; <xref ref-type="bibr" rid="B11">Chandra and Sundaramurthy, 2015</xref>; <xref ref-type="bibr" rid="B63">Salzar et al., 2017</xref>). If brains were preserved (11/18 PMHS), the heads were pressurized with a saline solution to ensure having homeostatic pressure (PMHS-Brain) (<xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>; <xref ref-type="bibr" rid="B7">Bolander, 2012</xref>; <xref ref-type="bibr" rid="B49">Ott et al., 2013</xref>; <xref ref-type="bibr" rid="B35">Iwaskiw et al., 2018</xref>). Each PMHS-Brain and PMHS-Substitute were instrumented with sensors, and then subjected to quasi-ideal shock waves via shock tubes. The experiments can be divided into two groups of incident pressures: a low-level blast dose of 64 &#xb1; 28&#xa0;kPa and a high-level blast dose of 175 &#xb1; 27&#xa0;kPa. However, positive phase durations are rarely reported and vary from 4.4&#xa0;ms to 7.5&#xa0;ms.</p>
<p>The first studies to do so were performed by <xref ref-type="bibr" rid="B18">Dal Cengio Leonardi (2011)</xref> and <xref ref-type="bibr" rid="B7">Bolander (2012)</xref>. A total of 4 PMHS-Brain were exposed to incident pressures of 69&#xa0;kPa, 83&#xa0;kPa and 104&#xa0;kPa (T<sup>&#x2b;</sup> &#x3d; 7.5&#xa0;ms), with the objective to observe ICPs and cranial strains evolutions in forward, sideways and backward orientations. Later, <xref ref-type="bibr" rid="B66">Shah et al. (2011)</xref> exposed 1 PMHS-Substitute to lower shock waves of 21&#xa0;kPa and 45&#xa0;kPa, in order to highlight the variations of reflected pressures and ICPs in forward and sideways orientations. <xref ref-type="bibr" rid="B49">Ott et al. (2013)</xref> also frontally exposed 3 PMHS-Substitute to incident pressures of 50 and 75&#xa0;kPa. Ganpule et al. presented results of reflected pressures, ICPs, and cranial strains recorded on 3 PMHS-Substitute exposed to 70&#xa0;kPa, 140&#xa0;kPa and 200&#xa0;kPa in forward orientation (T<sup>&#x2b;</sup> &#x3d; 5.4&#xa0;ms) (<xref ref-type="bibr" rid="B65">Ganpule et al., 2013a</xref>; <xref ref-type="bibr" rid="B11">Chandra and Sundaramurthy, 2015</xref>). The latter study concluded the transosteal propagation to be the main injury mechanism. <xref ref-type="bibr" rid="B63">Salzar et al. (2017)</xref> investigated the CSF cavitation hypothesis by exposing 3 PMHS-Substitute in forward orientation (Pi &#x3d; 80&#x2014;350&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 5&#xa0;ms) while recording ICPs and cranial deformations. Negative ICP peaks were measured, suggesting the formation of cavitation bubbles. Finally, the most recent study by <xref ref-type="bibr" rid="B35">Iwaskiw et al. (2018)</xref> involved 4 PMHS-Brains placed in forward and backward orientations inside a shock tube. Incident pressures of 160 and 200&#xa0;kPa were applied to the subjects to record reflected pressures, ICPs and brain displacements thanks to radiopaque markers. Orientation and sensor location effects were observed.</p>
</sec>
<sec id="s2-4">
<title>2.4 Studies on substitutes</title>
<p>Finally, with the goal of improving the reproducibility of the blast experiments and further investigate the bTBI injury mechanisms, 28 substitutes were created and presented in 21 studies. These substitutes are divided into two categories: 6 anthropomorphic and 22 geometric substitutes.</p>
<p>Among the anthropomorphic substitutes, <xref ref-type="bibr" rid="B46">Merkle et al. (2012)</xref> recorded displacements in a brain substitute exposed to 875&#xa0;kPa, and observed a relative brain/skull displacements. In addition, internal pressures were recorded in the frontal and occipital positions, showing a dose-response as well as a sensor location effects (<xref ref-type="bibr" rid="B45">Merkle et al., 2009</xref>; <xref ref-type="bibr" rid="B47">Merkle et al., 2010</xref>; <xref ref-type="bibr" rid="B46">Merkle et al., 2012</xref>). <xref ref-type="bibr" rid="B50">Ouellet et al. (2014)</xref> also recorded reflected and internal pressures on a substitute exposed inside a shock tube in forward and sideways orientations (Pi &#x3d; 80, 100, 120&#xa0;kPa/T&#x2b; &#x3d; 7.5&#x2014;8.5&#xa0;ms) and in free-field conditions (Pi &#x3d; 55&#x2013;250&#xa0;kPa/T&#x2b; &#x3d; 0.8&#x2014;8.5&#xa0;ms) (<xref ref-type="bibr" rid="B51">Ouellet and Philippens, 2018</xref>). Orientation, dose-response and sensor location effects were observed. Other studies performed on anthropomorphic substitutes focused solely on recording the reflected pressures at different locations to characterize the threat (<xref ref-type="bibr" rid="B52">Rafaels, 2010</xref>; <xref ref-type="bibr" rid="B27">Ganpule et al., 2013b</xref>; <xref ref-type="bibr" rid="B28">Ganpule and Chandra, 2013</xref>; <xref ref-type="bibr" rid="B12">Chandra et al., 2017</xref>; <xref ref-type="bibr" rid="B2">Alay et al., 2018</xref>; <xref ref-type="bibr" rid="B5">Banton et al., 2018</xref>; <xref ref-type="bibr" rid="B69">Skotak et al., 2019</xref>).</p>
<p>Regarding geometric substitutes, 1 cylindrical model (<xref ref-type="bibr" rid="B64">Selvan et al., 2013</xref>), 3 ellipsoidal models (<xref ref-type="bibr" rid="B29">Goeller et al., 2012</xref>; <xref ref-type="bibr" rid="B80">Zhu et al., 2012</xref>), a 1D model (<xref ref-type="bibr" rid="B78">Yu et al., 2020</xref>), and 17 spheres (<xref ref-type="bibr" rid="B19">Dal Cengio Leonardi et al., 2011a</xref>; <xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>; <xref ref-type="bibr" rid="B3">Alley et al., 2011</xref>; <xref ref-type="bibr" rid="B74">Varas et al., 2011</xref>; <xref ref-type="bibr" rid="B34">Hua et al., 2014</xref>; <xref ref-type="bibr" rid="B36">Josey et al., 2016</xref>; <xref ref-type="bibr" rid="B60">Rude, 2016</xref>) have been exposed to blast conditions exclusively using shock tubes. However, only two of these substitutes had dimensions close to a human head: a mean circumference of 180&#xa0;mm (<xref ref-type="bibr" rid="B9">Bushby et al., 1992</xref>; <xref ref-type="bibr" rid="B30">Got et al., 1983</xref>; <xref ref-type="bibr" rid="B32">Haeussinger et al., 2011</xref>) and a frontal bone thickness of 7&#xa0;mm (<xref ref-type="bibr" rid="B30">Got et al., 1983</xref>; <xref ref-type="bibr" rid="B42">Lynnerup, 2001</xref>; <xref ref-type="bibr" rid="B32">Haeussinger et al., 2011</xref>). <xref ref-type="bibr" rid="B18">Dal Cengio Leonardi (2011)</xref>; <xref ref-type="bibr" rid="B74">Varas et al. (2011)</xref>; <xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al. (2011b)</xref> exposed gel-filled Synbone spheres of 190&#xa0;mm diameter and 7&#xa0;mm thickness to measure reflected pressures, shell strains and internal pressures to highlight their orientation effects (Pi &#x3d; 40&#x2013;103&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 6&#xa0;ms). Orientation effects on internal pressures and shell strains were also observed by Alley et al. in a gel-filled PMMA substitute (Pi &#x3d; 96, 103, 172, 760&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 0.4&#x2014;1.2&#xa0;ms) (<xref ref-type="bibr" rid="B3">Alley et al., 2011</xref>); as well as in the studies by <xref ref-type="bibr" rid="B64">Selvan et al. (2013)</xref> and <xref ref-type="bibr" rid="B34">Hua et al. (2014)</xref> who respectively exposed a polycarbonate cylinder (Pi &#x3d; 160&#xa0;kPa) and a sphere (Pi &#x3d; 130&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 4.5&#xa0;ms) to blast conditions. In addition, <xref ref-type="bibr" rid="B36">Josey et al. (2016)</xref> and <xref ref-type="bibr" rid="B60">Rude (2016)</xref> exposed polypropylene spheres filled with either water or gelatin (Pi &#x3d; 60&#x2014;207&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 6&#xa0;ms) to observe the shell&#x2019;s vibrations and support the skull deflection hypothesis. Finally, <xref ref-type="bibr" rid="B29">Goeller et al. (2012)</xref> created an ellipsoidal model in polycarbonate, with a length of 192&#xa0;mm and a width of 137&#xa0;mm. Shell strains, internal and reflected pressures were recorded; and cavitation bubbles were observed at the contralateral position (Pi &#x3d; 51&#x2014;172&#xa0;kPa/T<sup>&#x2b;</sup> &#x3d; 3&#xa0;ms). A recent study by <xref ref-type="bibr" rid="B78">Yu et al. (2020)</xref>; <xref ref-type="bibr" rid="B79">Yu et al. (2022)</xref> also investigated the cavitation phenomenon in a 1D model with successive layers of acrylic, distilled water and agar gel (Pi &#x3d; 111&#x2014;127&#xa0;kPa, T<sup>&#x2b;</sup> &#x3d; 0.5&#x2014;1.4&#xa0;ms).</p>
</sec>
</sec>
<sec id="s3">
<title>3 Comparison of studies in terms of mechanical quantities</title>
<p>The following section details the analysis performed on the reflected pressures, internal pressures, intra-thoracic pressures, and cranial/shell strains collected from the 43 previously mentioned studies. The purpose is to establish intra-species trends; therefore, for each metric, either extreme or first peak values are collected. The results are presented in terms of the mean and standard deviation values against the incident pressures. For each specific threat, linear regression curves are established, and a correlation analysis is performed between the proposed trends and the experimental data. The reported R<sup>2</sup> values are adjusted Pearson&#x2019;s coefficients of determination to indicate the quality of the fit.</p>
<sec id="s3-1">
<title>3.1 Reflected pressures</title>
<p>Reflected pressures were recorded on 10 <italic>in-vitro</italic> rats (<xref ref-type="bibr" rid="B71">Sundaramurthy et al., 2012</xref>; <xref ref-type="bibr" rid="B68">Skotak et al., 2013</xref>); on the frontal bone of 11 PMHS&#x2019; heads (<xref ref-type="bibr" rid="B66">Shah et al., 2011</xref>; <xref ref-type="bibr" rid="B65">Ganpule et al., 2013a</xref>; <xref ref-type="bibr" rid="B49">Ott et al., 2013</xref>; <xref ref-type="bibr" rid="B35">Iwaskiw et al., 2018</xref>), on 2 monkeys (<xref ref-type="bibr" rid="B56">Romba and Martin, 1961</xref>); and on 1 geometric (<xref ref-type="bibr" rid="B64">Selvan et al., 2013</xref>) and 4 anthropomorphic substitutes (<xref ref-type="bibr" rid="B52">Rafaels, 2010</xref>; <xref ref-type="bibr" rid="B27">Ganpule et al., 2013b</xref>; <xref ref-type="bibr" rid="B28">Ganpule and Chandra, 2013</xref>; <xref ref-type="bibr" rid="B12">Chandra et al., 2017</xref>; <xref ref-type="bibr" rid="B2">Alay et al., 2018</xref>; <xref ref-type="bibr" rid="B5">Banton et al., 2018</xref>; <xref ref-type="bibr" rid="B69">Skotak et al., 2019</xref>). <xref ref-type="fig" rid="F2">Figure 2</xref> shows peak amplitude values of the reflected pressures measured during forward exposures. For all species, there is an increase in peak reflected pressure with the incident pressure.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Reflected pressures plotted against incident pressures, obtained during the forward exposure of PMHS, rodents and substitutes to blast conditions. The cross markers on the schematic representations of species indicates the approximate position of the reflected pressure sensors.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g002.tif"/>
</fig>
<p>However, in rats, the peak pressures were higher in the study by <xref ref-type="bibr" rid="B71">Sundaramurthy et al. (2012)</xref> than in the study by <xref ref-type="bibr" rid="B68">Skotak et al. (2013)</xref>, even though the subjects were in the same configuration against the shock waves. Indeed, for an incident pressure of 210&#xa0;kPa, Skotak et al. recorded a reflected pressure of 293 &#xb1; 25&#xa0;kPa, whereas Sundaramurthy et al. recorded peak values of 402 &#xb1; 21&#xa0;kPa. Signal post-processing (use of numerical filters, sampling frequency, etc.) or blast conditions such as different positive phase durations could explain these differences.</p>
<p>Regarding PMHS subjects, only one study compared the reflected pressures obtained at different orientations for the same 29&#xa0;kPa incident pressure (<xref ref-type="bibr" rid="B66">Shah et al., 2011</xref>). The peak reflected pressures measured at ipsilateral locations had the same amplitude, i.e., for a forward exposure the reflected pressure recorded on the frontal bone was 61.3 kPa; while the temporal bone sensors recorded a reflected pressure of 58.4&#xa0;kPa for a sideways exposure. In addition, the values reported by <xref ref-type="bibr" rid="B35">Iwaskiw et al. (2018)</xref> are lower than those of other authors, which could be explained by the fact that the PMHS were placed head down in the extension of a shock tube, possibly modifying the waves propagation. The PMHS values reported by <xref ref-type="bibr" rid="B66">Shah et al. (2011)</xref>, <xref ref-type="bibr" rid="B65">Ganpule et al. (2013a)</xref> and <xref ref-type="bibr" rid="B49">Ott et al., (2013)</xref> appear to follow the approximation between reflected and incident pressures given by <xref ref-type="bibr" rid="B39">Kinney and Graham (1985)</xref>, when considering a reflection off an infinite wall in a perfect gas at a constant atmospheric pressure.</p>
<p>The differences observed between rodents (y &#x3d; 1.59x, R<sup>2</sup> &#x3d; 0.97) and PMHS evolutions could be explained by a snout effect that would attenuate the waves, or by the smaller surface area of the rodent head exposed to the waves.</p>
<p>Finally, the results measured in the frontal position of head substitutes (y &#x3d; 2.75x, R<sup>2</sup> &#x3d; 0.99) follow a similar linear evolution as the PMHS values (y &#x3d; 2.88x, R<sup>2</sup> &#x3d; 0.99).</p>
</sec>
<sec id="s3-2">
<title>3.2 Internal pressures</title>
<p>ICPs were systematically measured in the 11 PMHS-Brain and 7 PMHS-Substitute by implanting pressure sensors in the cranial cavity (<xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>; <xref ref-type="bibr" rid="B66">Shah et al., 2011</xref>; <xref ref-type="bibr" rid="B27">Ganpule et al., 2013b</xref>; <xref ref-type="bibr" rid="B49">Ott et al., 2013</xref>; <xref ref-type="bibr" rid="B63">Salzar et al., 2017</xref>; <xref ref-type="bibr" rid="B35">Iwaskiw et al., 2018</xref>). Furthermore, ICPs were recorded for 2 <italic>in-vitro</italic> monkeys exposed in backward orientation (<xref ref-type="bibr" rid="B56">Romba and Martin, 1961</xref>), 10 <italic>in-vitro</italic> swine exposed in forward and backward orientations (<xref ref-type="bibr" rid="B7">Bolander, 2012</xref>; <xref ref-type="bibr" rid="B26">Feng et al., 2016</xref>); as well as 10 <italic>in-vitro</italic> rats (<xref ref-type="bibr" rid="B71">Sundaramurthy et al., 2012</xref>; <xref ref-type="bibr" rid="B68">Skotak et al., 2013</xref>) and 33 <italic>in-vivo</italic> rats (<xref ref-type="bibr" rid="B21">Dal Cengio Leonardi et al., 2012</xref>; <xref ref-type="bibr" rid="B19">Dal Cengio Leonardi et al., 2011a</xref>). <xref ref-type="fig" rid="F3">Figure 3</xref> presents the peak ICPs recorded in the frontal (A) and occipital (B) positions during a forward exposure, and in the frontal (C) and occipital (D) positions during a backward exposure. For all sensors, there is an increase in ICP with the incident pressures.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>First peak values of intracranial pressures (ICP) measured for PMHS, rodents and mammals, plotted against incident pressures. <bold>(A)</bold> Frontal sensors measurements obtained during forward exposures. <bold>(B)</bold> Occipital sensors measurements obtained during forward exposures. <bold>(C)</bold> Frontal sensors measurements obtained during backward exposures. <bold>(D)</bold> Occipital sensors measurements obtained during backward exposures.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g003.tif"/>
</fig>
<p>Nevertheless, specific intra-species trends can be observed for a forward exposure (<xref ref-type="fig" rid="F3">Figures 3A&#x2013;B</xref>): for PMHS (y &#x3d; 1.74x, R<sup>2</sup> &#x3d; 0.91) and rodents (y &#x3d; 1.30x, R<sup>2</sup> &#x3d; 0.99) there is an amplification of frontal ICPs; while an attenuation is detected for large mammals (y &#x3d; 0.76x, R<sup>2</sup> &#x3d; 0.99). The differences observed could be explained by the presence of a snout in rodents and large mammals, and by the cranial thickness of the frontal bones in swine, which is approximately 10&#xa0;mm, compared to 7&#xa0;mm in humans and 0.7&#xa0;mm in rats.</p>
<p>Another interesting point regarding internal pressure is that for rodents, results follow a linear trend regardless of sensor location. Moreover, the occipital ICP peaks of PMHS were all negative (y &#x3d; &#x2212;0.48x, R<sup>2</sup> &#x3d; 0.98), indicating an ipsi-controlateral effect between the frontal and occipital sensors.</p>
<p>
<xref ref-type="fig" rid="F3">Figures 3C&#x2013;D</xref> shows that for a given incident pressure, the ICPs measured during backward exposures are inferior to those measured during forward orientations. For instance, Leonardi 2011 measured frontal ICPs of 4 PMHS exposed to 83&#xa0;kPa: for forward exposures the mean value was 113 &#xb1; 29&#xa0;kPa, compared to &#x2212;83 &#xb1; 57&#xa0;kPa for backward exposures (<xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>). However, no robust trend could be drawn due to the lack of experimental data and the large discrepancies observed in the results. These orientation and sensors location effects are observed for both PMHS and large mammals, but not for rodents.</p>
<p>Internal substitute pressures (ISPs) were also measured inside the shells of geometric (<xref ref-type="bibr" rid="B3">Alley et al., 2011</xref>; <xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al., 2011b</xref>; <xref ref-type="bibr" rid="B29">Goeller et al., 2012</xref>; <xref ref-type="bibr" rid="B64">Selvan et al., 2013</xref>; <xref ref-type="bibr" rid="B34">Hua et al., 2014</xref>: <xref ref-type="bibr" rid="B79">Yu et al., 2020</xref>) and anthropomorphic (<xref ref-type="bibr" rid="B47">Merkle et al., 2010</xref>; <xref ref-type="bibr" rid="B50">Ouellet et al., 2014</xref>; <xref ref-type="bibr" rid="B5">Banton et al., 2018</xref>; <xref ref-type="bibr" rid="B51">Ouellet and Philippens, 2018</xref>) substitutes. <xref ref-type="fig" rid="F4">Figure 4</xref> shows the peak values of ISP measured in frontal (A) and occipital (B) positions. The results vary considerably from one study to another because of the different materials properties and geometries used; therefore, it is not possible to establish robust trends. Nevertheless, the ISPs measured inside anthropomorphic substitutes are generally lesser than those measured in geometric models.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>First peak values of internal substitute pressures (ISP) measured inside geometric and anthropomorphic substitutes during a forward exposure, and plotted against incident pressures. <bold>(A)</bold> Frontal sensors measurements. <bold>(B)</bold> Occipital sensors measurements.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g004.tif"/>
</fig>
<p>A study carried out by <xref ref-type="bibr" rid="B50">Ouellet et al. (2014)</xref> on an anthropomorphic substitute is of particular interest: the time evolutions of internal pressures measured on the substitute were directly compared with those obtained during exposure of PMHS to similar blast conditions. The time histories were similar, with differences in amplitude that can be explained by the large standard deviations in the PMHS results. For instance, at an incident pressure of 100&#xa0;kPa, Ouellet et al., 2014 recorded an occipital ISP of &#x2212;25&#xa0;kPa inside their substitute; compared to &#x2212;55 &#xb1; 26&#xa0;kPa in Leonardi&#x2019;s PMHS study (<xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al., 2011b</xref>). Ouellet et al. also recorded an ipsi-controlateral effect between frontal and occipital positions (<xref ref-type="bibr" rid="B50">Ouellet et al., 2014</xref>; <xref ref-type="bibr" rid="B51">Ouellet and Philippens, 2018</xref>), a peculiarity already observed for PMHS trends; and other studies conducted with geometric substitutes (<xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al., 2011b</xref>; <xref ref-type="bibr" rid="B29">Goeller et al., 2012</xref>; <xref ref-type="bibr" rid="B34">Hua et al., 2014</xref>) reported the same phenomenon.</p>
<p>Finally, regarding geometric substitutes, two studies compared the ISPs measured inside a spherical shell with and without the presence of apertures (<xref ref-type="bibr" rid="B3">Alley et al., 2011</xref>; <xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al., 2011b</xref>). Only small non-deterministic variations in ISP were observed.</p>
</sec>
<sec id="s3-3">
<title>3.3 Intra-thoracic pressures</title>
<p>Two studies involving large mammals have investigated the thoracic compression injury mechanism. The heads and torsos of 2 <italic>in-vitro</italic> monkeys (<xref ref-type="bibr" rid="B56">Romba and Martin, 1961</xref>) and 6 <italic>in-vitro</italic> swine (<xref ref-type="bibr" rid="B61">S&#xe4;lj&#xf6; et al., 2008</xref>) were successively exposed to a localized blast. <xref ref-type="fig" rid="F5">Figure 5</xref> presents the first peaks of ICPs and intrathoracic pressures measured during the vertex exposure of the animals, showing that both studies recorded low intra-thoracic pressures around 3&#xa0;kPa, while ICP peaks reached 10&#xa0;kPa when only heads were exposed to incident pressures of 20&#xa0;kPa (<xref ref-type="fig" rid="F5">Figure 5A</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Incident pressures, intracranial pressures and intrathoracic first peaks pressures measured during vertex exposures of rodents and mammals. <bold>(A)</bold> Configuration with thoraces protected and heads exposed. <bold>(B)</bold> Configuration with heads protected and thoraces exposed.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g005.tif"/>
</fig>
<p>In contrast, ICPs had a minor amplitude of 1 and 9&#xa0;kPa; and 20&#xa0;kPa was recorded in the intra-thoracic cavities when only the thoraces were exposed (<xref ref-type="fig" rid="F5">Figure 5B</xref>). In a recent study, 16 <italic>in-vivo</italic> rats were exposed in a vertex orientation, with only their torso exposed (<xref ref-type="bibr" rid="B58">Rubio et al., 2020</xref>). At an incident pressure of 140&#xa0;kPa, the ICP was 25&#xa0;kPa whereas 30&#xa0;kPa was recorded in the carotid artery. At that same incident pressure, only 10&#xa0;kPa was recorded in the cranial cavities of the thoracic-protected monkeys and 70&#xa0;kPa in their thoracic chambers.</p>
</sec>
<sec id="s3-4">
<title>3.4 Cranial and shell strains</title>
<p>In Bolander&#x2019;s study (<xref ref-type="bibr" rid="B7">Bolander, 2012</xref>), the goal was to compare cranial strains measured on different species exposed to similar blast conditions. For this reason, 10 <italic>in-vitro</italic> rats, 5 <italic>in-vitro</italic> swine and 4 PMHS-Brain were instrumented with strain gauges glued to the outer bone sections, and then placed in a forward orientation. <xref ref-type="fig" rid="F6">Figure 6</xref> summarizes the cranial strain extrema measured by frontal (A) and occipital (B) sensors. For all species, the maximum strains tend to increase with the incident pressure intensity. It can also be mentioned that the 4 PMHS-Brain were exposed with different orientations (forward, sideways, backward). The author showed that the strain profiles depend on both the location of the sensors on the cranium and its orientation (<xref ref-type="bibr" rid="B7">Bolander, 2012</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Cranial strains extrema measured on PMHS, swine and rodents during a forward exposure to blast conditions, plotted against incident pressures. <bold>(A)</bold> Frontal sensors measurements. <bold>(B)</bold> Occipital sensors measurements.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g006.tif"/>
</fig>
<p>Additional data collected from two studies on PMHS-Substitutes (<xref ref-type="bibr" rid="B65">Ganpule et al., 2013a</xref>; <xref ref-type="bibr" rid="B63">Salzar et al., 2017</xref>) were also considered. The results recorded by <xref ref-type="bibr" rid="B7">Bolander (2012)</xref> and <xref ref-type="bibr" rid="B63">Salzar et al. (2017)</xref> showed a linear trend between frontal strains and incident pressures, as illustrated in <xref ref-type="fig" rid="F6">Figure 6A</xref> (y &#x3d; 1.42x, R<sup>2</sup> &#x3d; 0.97). Strains measured on 3 PMHS-Substitute by Ganpule et al. did not follow this trend (<xref ref-type="bibr" rid="B65">Ganpule et al., 2013a</xref>). These PMHS-Substitute were frozen for several months prior to the experiments, which may explain the observed discrepancies. Those results are thus discarded in the following. Indeed, the mechanical properties of cranial bones depend on the preservation conditions (<xref ref-type="bibr" rid="B25">Fallenstein et al., 1969</xref>; <xref ref-type="bibr" rid="B22">Delille, 2007</xref>). Furthermore, the PMHS trend is significantly lower than that of rodents&#x2019; (y &#x3d; 4.28x, R<sup>2</sup> &#x3d; 0.95), suggesting that rodent craniums are more distorted by shock waves. Finally, the sensors located at the countercoup site, i.e., the occipital bone, recorded scattered maximum values with larger standard deviations, making it impossible to establish trend curves (<xref ref-type="fig" rid="F6">Figure 6B</xref>).</p>
<p>In a second part, the cranial strains extrema obtained on PMHS are compared with data collected on substitutes. Eight geometric substitutes were instrumented with strain gauges and frontally exposed to blast conditions (<xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>; <xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al., 2011b</xref>; <xref ref-type="bibr" rid="B29">Goeller et al., 2012</xref>; <xref ref-type="bibr" rid="B34">Hua et al., 2014</xref>). <xref ref-type="fig" rid="F7">Figure 7</xref> shows the cranial strains extrema measured by the frontal and occipital sensors. Strains measured on substitutes are distributed over a wide range, following linear regression trends with a R<sup>2</sup> of 0.80. This distribution of results can be explained by the different shell materials, geometries and dimensions. For frontal sensors, the linear trend followed by substitutes (y &#x3d; 4.35x, R<sup>2</sup> &#x3d; 0.81) is much higher than that of PMHS, indicating that the substitutes tend to overestimate cranial strains. As for the occipital strains, values are slightly smaller than the frontal ones (y &#x3d; 3.86x, R<sup>2</sup> &#x3d; 0.80).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Cranial strains extrema measured on PMHS and substitutes during a forward exposure to blast conditions, plotted against incident pressures. <bold>(A)</bold> Frontal sensors measurements. <bold>(B)</bold> Occipital sensors measurements.</p>
</caption>
<graphic xlink:href="fmech-09-1185231-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion and relation to injury mechanisms</title>
<p>This review analyzed 43 studies performed on instrumented animals, PMHS and head substitutes subjected to air-propagated shock waves. The focus of this review was on the effects of a single quasi-ideal shock wave propagating through the head. Thus, the first step was to summarize the various studies to determine which ones could be compared. The exposure configurations were seldom similar from one author to another, whether in terms of test set-up (free field conditions, inside or outside shock tubes), or the orientation of the instrumented subjects towards the threat (forward, sideways, backwards). Finally, concerning the shock waves characteristics, the incident pressures chosen varied between 15&#xa0;kPa and 1,000&#xa0;kPa, the positive phase durations varied between 1&#xa0;s and 10&#xa0;s and were not systematically reported, and reflected and impulse pressures were rarely available. These disparities in exposure greatly modify the threat, and can thus lead to considerable experimental variability between the different studies. Furthermore, a large variability between instrumented subjects was also highlighted: in the case of living subjects, the first point to check was the instrumentation used (position of the device, sealing of the sensors, sampling frequency, data filtering, etc.). The second point of concern was the conditioning of the subjects, since some were exposed <italic>in-vivo</italic> and others <italic>in-vitro</italic>, sometimes with the removal of soft tissues or brain matter, and sometimes after the subjects had been thawed, thus modifying the mechanical properties of the tissues (<xref ref-type="bibr" rid="B25">Fallenstein et al., 1969</xref>; <xref ref-type="bibr" rid="B22">Delille, 2007</xref>). In the case of head substitutes, several types of geometry were considered (anthropomorphic or geometric), with varying dimensions that were not necessarily close to the 50th percentile human head geometry. In addition, the outer shell representing the cranium and the brain surrogates of the substitutes were made from different materials whose mechanical properties were not systematically specified.</p>
<p>Despite these latter experimental discrepancies, some tendencies were observed per species when correlating the measured mechanical metrics with the threat characteristics. Studies on PMHS have indeed shown an effect of sensor location and subject orientation on reflected pressures, ICP and cranial strains. An ipsi-controlateral phenomenon was also identified for ICP: in frontal orientation, for instance, there was an amplification of the first pressure peak relative to the incident pressure in the frontal position, whereas a negative peak pressure was recorded in the occipital position. For large mammals, an orientation effect was observed on reflected pressures, ICP, and cranial strains; as well as an ICP attenuation for all sensor locations and orientations with respect to incident pressures. For rodents, neither orientation nor sensor location effects were observed on ICP. These results could be explained by two factors. Either their cranial cavity is small enough to be unaffected by sensor localization effects, or the pressure sensors used are too large relative to the cranial volume of the rodent head. These initial trends led to the proposal of linear regression curves for reflected pressures, intracranial pressures, and cranial strains, with only incident pressure as input parameter. In the future, when new experiments will become available, other shock wave characteristics such as the positive phase duration or the positive impulse should be considered. Data resulting from the exposure of instrumented subjects to complex shock waves that do not follow a quasi-ideal waveform could also be incorporated (underwater detonation, repetitive blast exposure, two successive peak overpressures, etc.). It would also be interesting to scale the various trends based on geometric parameters of the different species (skull thickness, cranial volume, head mass, etc.) (<xref ref-type="bibr" rid="B17">Courtney and Courtney, 2015</xref>).</p>
<p>In a second part of the review, the ability of the existing head substitutes to reproduce human behavior in terms of reflected pressures, internal pressures and strains was questioned. Without complementary information from the authors, it was not possible to assess whether a specific ratio should be applied to the collected measurements. Thus, in the results section, the different metrics were compared to the PMHS data with a 1-1 ratio. Frontal reflected pressures measured on anthropomorphic substitutes followed a trend close to the PMHS data, but only the BI<sup>2</sup>PED created by Ouellet et al. compared its ISPs time-evolutions to those of PMHS and obtained similar results (<xref ref-type="bibr" rid="B50">Ouellet et al., 2014</xref>). Other studies using either geometric or anthropomorphic substitutes recorded ISP values spread over a wide range, due to disparities in the dimensions and material properties of the skull and brain substitutes. No trend could be established, however, several studies recorded an ipsi-controlateral effect between the frontal and occipital sensors when geometric (<xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>; <xref ref-type="bibr" rid="B29">Goeller et al., 2012</xref>; <xref ref-type="bibr" rid="B34">Hua et al., 2014</xref>) and anthropomorphic substitutes (<xref ref-type="bibr" rid="B50">Ouellet et al., 2014</xref>; <xref ref-type="bibr" rid="B51">Ouellet and Philippens, 2018</xref>) were exposed to blast waves in a forward orientation. In addition, further investigation into the variation of ISP in the presence of apertures did not reveal a clear trend. Finally, the current analysis suggests that the designed geometric substitutes overestimate the strain values compared to PMHS data, implying that they might not be properly dimensioned to reproduce the strain behavior of a human head subjected to blast conditions.</p>
<p>The remaining point to discuss is the plausibility of the various injury mechanisms that could explain blast-induced Traumatic Brain Injuries, bearing in mind that these mechanisms may not exclusive. Looking first at the indirect mechanisms, it appears that the relative brain/skull motion injury mechanism might not be caused directly by the primary blast phase, but rather results from acceleration effects that are generally attributed to the tertiary blast phase. Iwaskiw et al. implanted radiopaque markers in the brains of 4 PMHS-Brains (<xref ref-type="bibr" rid="B35">Iwaskiw et al., 2018</xref>) exposed in forward and backward orientations to incident pressures of 150 and 200&#xa0;kPa. They measured peak displacements in the magnitude of 2&#x2014;6&#xa0;mm within the cerebral matter. These peak displacements were recorded only after the first 10&#xa0;ms of the event, just as the PMHS heads began their rotational and translational motions. In addition, <xref ref-type="bibr" rid="B40">Knudsen and &#xd8;en (2003)</xref> exposed 37 Minke whales to underwater detonations and demonstrated that the induced cerebral lesions were similar to those observed in head impact injuries resulting from linear and angular acceleration. The thoracic compression hypothesis, in turn, which suggests that a deflection of the thorax could create a pressure surge propagating through the blood vessels to the brain, has yielded conflicting experimental results. <italic>In-vitro</italic> experiments carried out by exposing monkeys (<xref ref-type="bibr" rid="B56">Romba and Martin, 1961</xref>) and swine (<xref ref-type="bibr" rid="B61">S&#xe4;lj&#xf6; et al., 2008</xref>) in configurations where the head was protected and the thorax exposed, showed that low ICPs were obtained despite large pressure peaks recorded in the thoracic cavity. These results are inconsistent with the supposed pressure wave propagating from the torso to the head. However, in the study by <xref ref-type="bibr" rid="B58">Rubio et al. (2020)</xref>, 16 <italic>in-vivo</italic> rats were exposed to shock waves in a modified shock tube: the torsos of the animals were positioned inside the shock tube while the heads remained outside thanks to a hole. In this configuration, high pressure increases were recorded both in the thoracic cavity and in the carotid artery. Therefore, these different observations raise the question of the relevance of using post-mortem subjects to study the thoracic mechanism without homeostatic conditions.</p>
<p>Focusing next on the direct injury mechanisms, the transosteal wave propagation hypothesis suggests a propagation through the head layers due to acoustic impedance mismatches. This was first proposed by <xref ref-type="bibr" rid="B15">Clemedson and Pettersson (1955)</xref> while exposing rodents to the propagation of shock waves. In these experiments, it was observed that the shape of the ICP waveforms were similar to that of the incident pressures, with a slight difference in magnitude. According to the authors, the shock wave was thus only slightly modified as it propagated through the various head tissues (<xref ref-type="bibr" rid="B15">Clemedson and Pettersson, 1955</xref>). However, the current results showed that the recorded ICP time curves do not usually follow the incident pressures&#x2019; shapes. The linear trend curves established in this review showed an amplification of the frontal ICPs values against incident pressures for both PMHS and rodents. Due to the successive transmissions, reflections and absorptions of the wave as it propagates through the head layers, a pressure attenuation would be expected but some constructive interference might occur because of the head geometry (<xref ref-type="bibr" rid="B72">Sutar and Ganpule, 2019</xref>). On another note, supporting but insufficient results were found for the hypothesis of direct cranial wave entry through the various foramina. For a given incident pressure, ICPs measured during backward orientation of subjects were slightly lower than during forward orientation, suggesting that the presence of foramina may indeed facilitate the propagation of shock waves (<xref ref-type="bibr" rid="B18">Dal Cengio Leonardi, 2011</xref>). However, studies performed on substitutes and exposing them to shock waves in different orientations did not lead to substantial conclusions regarding the presence of apertures and its influence on the internal pressure variations (<xref ref-type="bibr" rid="B3">Alley et al., 2011</xref>; <xref ref-type="bibr" rid="B20">Dal Cengio Leonardi et al., 2011b</xref>). The third direct injury mechanism is the presumed cavitation of the cerebrospinal fluid in the contralateral head site. A depression peak was systematically observed in the occipital internal pressures of the PMHS during their forward exposure, as well as on some geometric and anthropomorphic substitutes. These recorded depression-overpressure cycles could indicate the formation and collapse of bubbles. Following this observation, Yu et al. created a transparent 1D model of the head with successive layers of a substitute cranium, CSF and cerebral matter to measure the occipital pressure and visualize the formation of bubbles in a fluid. The collapse of bubbles in the fluid correlated well with the depression peaks, supporting the CSF cavitation injury mechanism. Unfortunately, no clear correlation was established between the depression peaks and the formation of the cavitation bubbles (<xref ref-type="bibr" rid="B78">Yu et al., 2020</xref>; <xref ref-type="bibr" rid="B79">Yu et al., 2022</xref>). Lastly, the last injury mechanism is the skull deflection hypothesis, which is quite difficult to investigate when considering only time-domain strain data. Nevertheless, in this review, the peaks of cranial strains follow linear trends for PMHS, rodents and substitutes, indicating that the rodents&#x2019; craniums were more distorted by shock waves, possibly because of their lesser thickness. It remains to be proven, first, that these observed cranial strains are related to the cranial vibration modes, and second, that these skull deformations could actually cause cerebral lesions.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>The current review first highlighted the limitations of the existing experimental studies, in which instrumented subjects were exposed to the propagation of quasi-ideal shock waves. Exposure conditions were widely variable from one study to another, suggesting that greater uniformity in future experimental setups would be appreciated. However, for the first time, intra-species trends were identified, showing the evolution of reflected pressure, internal pressure, and cranial deformation as a function of incident pressure. These initial trends may be more robustly complemented by further experimental studies, and extrapolation to other shock wave parameters as well as scaling ratios between species may be possible as more data become available.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Author contributions</title>
<p>NE contributed to the literature search, to the data collection, analysis and interpretation, and to the writing. JB and PM contributed equally to the data interpretation and made critical revisions to the manuscript. PN contributed to both the literature search and data interpretation. RW and CD both contributed to the literature search, study design and data interpretation. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<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="s8">
<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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