Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple
Identifieur interne : 000260 ( Pmc/Corpus ); précédent : 000259; suivant : 000261Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple
Auteurs : Asghar Gholami ; Molood Baradaran-Ghahfarokhi ; Marjan Ebrahimi ; Milad Baradaran-GhahfarokhiSource :
- Journal of Medical Signals and Sensors [ 2228-7477 ] ; 2013.
Abstract
In recent years, interest in medical application of lasers especially as a surgical alternative is considerably increasing due to their distinct advantages such as non-contact intervention, bacteriostasis, less traumatization, minimal invasiveness, decreased bleeding and less heat damage. The present study aimed to evaluate the temperature changes and the consequent released thermal stress in cortical bone caused by an Erbium:yttrium aluminum garnet (Er:YAG) laser (Fideliss 320A, Fotona Inc., Deggingen, Germany) during osteotomy, using mathematical computation by means of Maple software, version 9.5 (Maplesoft, a division of Waterloo Maple Inc., Canada). The results obtained here were compared with the experimental measurements using Er:YAG laser in the osteotomy clinics. A bone slab with thickness of 1 mm was simulated in Maple software. Then, an Er:YAG laser emitting 100 μs pulses at a wavelength of 2940 nm were modeled. Two different clinical settings of the Er:YAG laser with 200 mJ and 400 mJ energies, both with 100 μs exposure and 500 μs silence were studied. To investigate the temperature distribution in the cortical bone, the time-dependent heat conduction equations were defined and solved in the Maple software. Finally, by defining the heat distribution function in the Maple, thermal stress in the bone was investigated. Results of the computations showed that, on the bone irradiated area (center of the bone surface) the maximum temperature rise was 0.8°C and 1.6°C, for 200 mJ and 400 mJ Er:YAG laser exposure, respectively. The temperature rise reached to its minimum at radial distances of 1.2 cm from the point of irradiated area for 200 mJ laser while it was 1.5 cm for 400 mJ laser. For 200 mJ laser the maximum derived radial (σ
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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple</title><author><name sortKey="Gholami, Asghar" sort="Gholami, Asghar" uniqKey="Gholami A" first="Asghar" last="Gholami">Asghar Gholami</name><affiliation><nlm:aff id="aff1"><italic>Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran</italic></nlm:aff></affiliation></author><author><name sortKey="Baradaran Ghahfarokhi, Molood" sort="Baradaran Ghahfarokhi, Molood" uniqKey="Baradaran Ghahfarokhi M" first="Molood" last="Baradaran-Ghahfarokhi">Molood Baradaran-Ghahfarokhi</name><affiliation><nlm:aff id="aff1"><italic>Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran</italic></nlm:aff></affiliation><affiliation><nlm:aff id="aff2"><italic>Medical Student's Research Center, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran</italic></nlm:aff></affiliation></author><author><name sortKey="Ebrahimi, Marjan" sort="Ebrahimi, Marjan" uniqKey="Ebrahimi M" first="Marjan" last="Ebrahimi">Marjan Ebrahimi</name><affiliation><nlm:aff id="aff3"><italic>Department of Physics, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran</italic></nlm:aff></affiliation></author><author><name sortKey="Baradaran Ghahfarokhi, Milad" sort="Baradaran Ghahfarokhi, Milad" uniqKey="Baradaran Ghahfarokhi M" first="Milad" last="Baradaran-Ghahfarokhi">Milad Baradaran-Ghahfarokhi</name><affiliation><nlm:aff id="aff4"><italic>Department of Medical Physics and Medical Engineering, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran</italic></nlm:aff></affiliation><affiliation><nlm:aff id="aff5"><italic>Department of Medical Radiation Engineering, Faculty of Advanced Sciences and Technologies, Isfahan University, Isfahan, Iran</italic></nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">24695375</idno><idno type="pmc">3967429</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967429</idno><idno type="RBID">PMC:3967429</idno><date when="2013">2013</date><idno type="wicri:Area/Pmc/Corpus">000260</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">000260</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple</title><author><name sortKey="Gholami, Asghar" sort="Gholami, Asghar" uniqKey="Gholami A" first="Asghar" last="Gholami">Asghar Gholami</name><affiliation><nlm:aff id="aff1"><italic>Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran</italic></nlm:aff></affiliation></author><author><name sortKey="Baradaran Ghahfarokhi, Molood" sort="Baradaran Ghahfarokhi, Molood" uniqKey="Baradaran Ghahfarokhi M" first="Molood" last="Baradaran-Ghahfarokhi">Molood Baradaran-Ghahfarokhi</name><affiliation><nlm:aff id="aff1"><italic>Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran</italic></nlm:aff></affiliation><affiliation><nlm:aff id="aff2"><italic>Medical Student's Research Center, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran</italic></nlm:aff></affiliation></author><author><name sortKey="Ebrahimi, Marjan" sort="Ebrahimi, Marjan" uniqKey="Ebrahimi M" first="Marjan" last="Ebrahimi">Marjan Ebrahimi</name><affiliation><nlm:aff id="aff3"><italic>Department of Physics, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran</italic></nlm:aff></affiliation></author><author><name sortKey="Baradaran Ghahfarokhi, Milad" sort="Baradaran Ghahfarokhi, Milad" uniqKey="Baradaran Ghahfarokhi M" first="Milad" last="Baradaran-Ghahfarokhi">Milad Baradaran-Ghahfarokhi</name><affiliation><nlm:aff id="aff4"><italic>Department of Medical Physics and Medical Engineering, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran</italic></nlm:aff></affiliation><affiliation><nlm:aff id="aff5"><italic>Department of Medical Radiation Engineering, Faculty of Advanced Sciences and Technologies, Isfahan University, Isfahan, Iran</italic></nlm:aff></affiliation></author></analytic><series><title level="j">Journal of Medical Signals and Sensors</title><idno type="eISSN">2228-7477</idno><imprint><date when="2013">2013</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>In recent years, interest in medical application of lasers especially as a surgical alternative is considerably increasing due to their distinct advantages such as non-contact intervention, bacteriostasis, less traumatization, minimal invasiveness, decreased bleeding and less heat damage. The present study aimed to evaluate the temperature changes and the consequent released thermal stress in cortical bone caused by an Erbium:yttrium aluminum garnet (Er:YAG) laser (Fideliss 320A, Fotona Inc., Deggingen, Germany) during osteotomy, using mathematical computation by means of Maple software, version 9.5 (Maplesoft, a division of Waterloo Maple Inc., Canada). The results obtained here were compared with the experimental measurements using Er:YAG laser in the osteotomy clinics. A bone slab with thickness of 1 mm was simulated in Maple software. Then, an Er:YAG laser emitting 100 μs pulses at a wavelength of 2940 nm were modeled. Two different clinical settings of the Er:YAG laser with 200 mJ and 400 mJ energies, both with 100 μs exposure and 500 μs silence were studied. To investigate the temperature distribution in the cortical bone, the time-dependent heat conduction equations were defined and solved in the Maple software. Finally, by defining the heat distribution function in the Maple, thermal stress in the bone was investigated. Results of the computations showed that, on the bone irradiated area (center of the bone surface) the maximum temperature rise was 0.8°C and 1.6°C, for 200 mJ and 400 mJ Er:YAG laser exposure, respectively. The temperature rise reached to its minimum at radial distances of 1.2 cm from the point of irradiated area for 200 mJ laser while it was 1.5 cm for 400 mJ laser. For 200 mJ laser the maximum derived radial (σ<sub><italic>rr</italic></sub>), axial (σ<sub><italic>zz</italic></sub>) and azimuthally (σ<sub><italic>θθ</italic></sub>) stress components were 0.20, 0.16 and 0.08 MPa, respectively. While, for 400 mJ laser the maximum derived σ<sub><italic>rr</italic></sub>, σ<sub><italic>zz</italic></sub> and σ<sub><italic>θθ</italic></sub> stress components were 0.39, 0.31 and 0.16 MPa, respectively. These results confirm that use of 100 μs Er:YAG laser pulses with 500 μs silence at 200 and 400 mJ energies minimizes thermal tissue damage for the laser osteotomies, without continued water cooling (irrigation) on the exposed area.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Lee, J" uniqKey="Lee J">J Lee</name></author><author><name sortKey="Rabin, Y" uniqKey="Rabin Y">Y Rabin</name></author><author><name sortKey="Ozdoganlar, Ob" uniqKey="Ozdoganlar O">OB Ozdoganlar</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Eyrich, Gk" uniqKey="Eyrich G">GK Eyrich</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Horch, Hh" uniqKey="Horch H">HH Horch</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Horch, Hh" uniqKey="Horch H">HH Horch</name></author><author><name sortKey="Mccord, Rc" uniqKey="Mccord R">RC McCord</name></author><author><name sortKey="Keiditsch, E" uniqKey="Keiditsch E">E Keiditsch</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Li, S" uniqKey="Li S">S Li</name></author><author><name sortKey="Chien, S" uniqKey="Chien S">S Chien</name></author><author><name sortKey="Br Nemark, Pi" uniqKey="Br Nemark P">PI Brånemark</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Eriksson, Ar" uniqKey="Eriksson A">AR Eriksson</name></author><author><name sortKey="Albrektsson, T" uniqKey="Albrektsson T">T Albrektsson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Eriksson, Ra" uniqKey="Eriksson R">RA Eriksson</name></author><author><name sortKey="Albrektsson, T" uniqKey="Albrektsson T">T Albrektsson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lundskog, J" uniqKey="Lundskog J">J Lundskog</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Eriksson, Ra" uniqKey="Eriksson R">RA Eriksson</name></author><author><name sortKey="Adell, R" uniqKey="Adell R">R Adell</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Elahi, P" uniqKey="Elahi P">P Elahi</name></author><author><name sortKey="Farsi, B" uniqKey="Farsi B">B Farsi</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Zahn, H" uniqKey="Zahn H">H Zahn</name></author><author><name sortKey="Jungnickel, V" uniqKey="Jungnickel V">V Jungnickel</name></author><author><name sortKey="Ertl, T" uniqKey="Ertl T">T Ertl</name></author><author><name sortKey="Schmid, S" uniqKey="Schmid S">S Schmid</name></author><author><name sortKey="Muller, G" uniqKey="Muller G">G Muller</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Majoran, B" uniqKey="Majoran B">B Majoran</name></author><author><name sortKey="Sustercic, D" uniqKey="Sustercic D">D Sustercic</name></author><author><name sortKey="Lukac, M" uniqKey="Lukac M">M Lukac</name></author><author><name sortKey="Skaleric, U" uniqKey="Skaleric U">U Skaleric</name></author><author><name sortKey="Funduk, N" uniqKey="Funduk N">N Funduk</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Nair, Pn" uniqKey="Nair P">PN Nair</name></author><author><name sortKey="Baltensperger, Mm" uniqKey="Baltensperger M">MM Baltensperger</name></author><author><name sortKey="Luder, Hu" uniqKey="Luder H">HU Luder</name></author><author><name sortKey="Eyrich, Gk" uniqKey="Eyrich G">GK Eyrich</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rho, Jy" uniqKey="Rho J">JY Rho</name></author><author><name sortKey="Ashman, Rb" uniqKey="Ashman R">RB Ashman</name></author><author><name sortKey="Turner, Ch" uniqKey="Turner C">CH Turner</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Dechow, Pc" uniqKey="Dechow P">PC Dechow</name></author><author><name sortKey="Wang, Q" uniqKey="Wang Q">Q Wang</name></author><author><name sortKey="Peterson, J" uniqKey="Peterson J">J Peterson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Ranu, Hs" uniqKey="Ranu H">HS Ranu</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Davidson, Sr" uniqKey="Davidson S">SR Davidson</name></author><author><name sortKey="James, Df" uniqKey="James D">DF James</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Huang, Ys" uniqKey="Huang Y">YS Huang</name></author><author><name sortKey="Tsai, Hl" uniqKey="Tsai H">HL Tsai</name></author><author><name sortKey="Chang, Fl" uniqKey="Chang F">FL Chang</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Kotha, Sp" uniqKey="Kotha S">SP Kotha</name></author><author><name sortKey="Guzelsu, N" uniqKey="Guzelsu N">N Guzelsu</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Berman, At" uniqKey="Berman A">AT Berman</name></author><author><name sortKey="Reid, Js" uniqKey="Reid J">JS Reid</name></author><author><name sortKey="Yanicko, Dr" uniqKey="Yanicko D">DR Yanicko</name></author><author><name sortKey="Sih, Gc" uniqKey="Sih G">GC Sih</name></author><author><name sortKey="Zimmerman, Mr" uniqKey="Zimmerman M">MR Zimmerman</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Krause, Ls" uniqKey="Krause L">LS Krause</name></author><author><name sortKey="Cobb, Cm" uniqKey="Cobb C">CM Cobb</name></author><author><name sortKey="Rapley, Jw" uniqKey="Rapley J">JW Rapley</name></author><author><name sortKey="Killoy, Wj" uniqKey="Killoy W">WJ Killoy</name></author><author><name sortKey="Spencer, P" uniqKey="Spencer P">P Spencer</name></author></analytic></biblStruct></listBibl></div1></back></TEI><pmc article-type="other"><pmc-dir>properties open_access</pmc-dir>
<front><journal-meta><journal-id journal-id-type="nlm-ta">J Med Signals Sens</journal-id><journal-id journal-id-type="iso-abbrev">J Med Signals Sens</journal-id><journal-id journal-id-type="publisher-id">JMSS</journal-id><journal-title-group><journal-title>Journal of Medical Signals and Sensors</journal-title></journal-title-group><issn pub-type="epub">2228-7477</issn><publisher><publisher-name>Medknow Publications & Media Pvt Ltd</publisher-name><publisher-loc>India</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">24695375</article-id><article-id pub-id-type="pmc">3967429</article-id><article-id pub-id-type="publisher-id">JMSS-3-262</article-id><article-categories><subj-group subj-group-type="heading"><subject>Short Communication</subject></subj-group></article-categories><title-group><article-title>Thermal Effects of Laser-osteotomy on Bone: Mathematical Computation Using Maple</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Gholami</surname><given-names>Asghar</given-names></name><xref ref-type="aff" rid="aff1">1</xref></contrib><contrib contrib-type="author"><name><surname>Baradaran-Ghahfarokhi</surname><given-names>Molood</given-names></name><xref ref-type="aff" rid="aff1">1</xref><xref ref-type="aff" rid="aff2">2</xref></contrib><contrib contrib-type="author"><name><surname>Ebrahimi</surname><given-names>Marjan</given-names></name><xref ref-type="aff" rid="aff3">3</xref></contrib><contrib contrib-type="author"><name><surname>Baradaran-Ghahfarokhi</surname><given-names>Milad</given-names></name><xref ref-type="aff" rid="aff4">4</xref><xref ref-type="aff" rid="aff5">5</xref><xref ref-type="corresp" rid="cor1"></xref></contrib></contrib-group><aff id="aff1"><label>1</label><italic>Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran</italic></aff><aff id="aff2"><label>2</label><italic>Medical Student's Research Center, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran</italic></aff><aff id="aff3"><label>3</label><italic>Department of Physics, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran</italic></aff><aff id="aff4"><label>4</label><italic>Department of Medical Physics and Medical Engineering, School of Medicine, Isfahan University of Medical Sciences, Isfahan, Iran</italic></aff><aff id="aff5"><label>5</label><italic>Department of Medical Radiation Engineering, Faculty of Advanced Sciences and Technologies, Isfahan University, Isfahan, Iran</italic></aff><author-notes><corresp id="cor1"><bold>Address for correspondence:</bold> Dr. Milad Baradaran-Ghahfarokhi, Department of Medical Physics and Medical Engineering, Isfahan University of Medical Sciences, Isfahan 81746 - 73461, Iran. E-mail: <email xlink:href="mbaradaran@edc.mui.ac.ir">mbaradaran@edc.mui.ac.ir</email></corresp></author-notes><pub-date pub-type="ppub"><season>Oct-Dec</season><year>2013</year></pub-date><volume>3</volume><issue>4</issue><fpage>262</fpage><lpage>268</lpage><history><date date-type="received"><day>01</day><month>6</month><year>2013</year></date><date date-type="accepted"><day>28</day><month>7</month><year>2013</year></date></history><permissions><copyright-statement>Copyright: © Journal of Medical Signals and Sensors</copyright-statement><copyright-year>2013</copyright-year><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by-nc-sa/3.0"><license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution-Noncommercial-Share Alike 3.0 Unported, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p></license></permissions><abstract><p>In recent years, interest in medical application of lasers especially as a surgical alternative is considerably increasing due to their distinct advantages such as non-contact intervention, bacteriostasis, less traumatization, minimal invasiveness, decreased bleeding and less heat damage. The present study aimed to evaluate the temperature changes and the consequent released thermal stress in cortical bone caused by an Erbium:yttrium aluminum garnet (Er:YAG) laser (Fideliss 320A, Fotona Inc., Deggingen, Germany) during osteotomy, using mathematical computation by means of Maple software, version 9.5 (Maplesoft, a division of Waterloo Maple Inc., Canada). The results obtained here were compared with the experimental measurements using Er:YAG laser in the osteotomy clinics. A bone slab with thickness of 1 mm was simulated in Maple software. Then, an Er:YAG laser emitting 100 μs pulses at a wavelength of 2940 nm were modeled. Two different clinical settings of the Er:YAG laser with 200 mJ and 400 mJ energies, both with 100 μs exposure and 500 μs silence were studied. To investigate the temperature distribution in the cortical bone, the time-dependent heat conduction equations were defined and solved in the Maple software. Finally, by defining the heat distribution function in the Maple, thermal stress in the bone was investigated. Results of the computations showed that, on the bone irradiated area (center of the bone surface) the maximum temperature rise was 0.8°C and 1.6°C, for 200 mJ and 400 mJ Er:YAG laser exposure, respectively. The temperature rise reached to its minimum at radial distances of 1.2 cm from the point of irradiated area for 200 mJ laser while it was 1.5 cm for 400 mJ laser. For 200 mJ laser the maximum derived radial (σ<sub><italic>rr</italic></sub>), axial (σ<sub><italic>zz</italic></sub>) and azimuthally (σ<sub><italic>θθ</italic></sub>) stress components were 0.20, 0.16 and 0.08 MPa, respectively. While, for 400 mJ laser the maximum derived σ<sub><italic>rr</italic></sub>, σ<sub><italic>zz</italic></sub> and σ<sub><italic>θθ</italic></sub> stress components were 0.39, 0.31 and 0.16 MPa, respectively. These results confirm that use of 100 μs Er:YAG laser pulses with 500 μs silence at 200 and 400 mJ energies minimizes thermal tissue damage for the laser osteotomies, without continued water cooling (irrigation) on the exposed area.</p></abstract><kwd-group><kwd><italic>Erbium:yttrium aluminum garnet laser</italic></kwd><kwd><italic>laser-osteotomy</italic></kwd><kwd><italic>Maple software</italic></kwd></kwd-group></article-meta></front><body><sec id="sec1-1"><title>INTRODUCTION</title><p>In recent years, interest in medical application of lasers especially as a surgical alternative is considerably increasing.[<xref rid="ref1" ref-type="bibr">1</xref>] Considering distinct disadvantages of the burrs and saws such as extensive heat deposition, broadening of cuts, mechanical traumatization, the deposition of metal shavings and bacterial contamination, lasers offer several significant advantages. Compared with other conventional surgical procedures the laser distinct advantages in surgery are non-contact intervention, bacteriostasis, less traumatization, minimal invasiveness, decreased bleeding and less heat damage.[<xref rid="ref2" ref-type="bibr">2</xref>]</p><p>The first serious attempts on using lasers to replace the burr is reported by Horch <italic>et al</italic>. who have extensively studied the potential use of lasers for osteotomy procedures.[<xref rid="ref3" ref-type="bibr">3</xref><xref rid="ref4" ref-type="bibr">4</xref>] It has been stated that, excessive heat is the major source of damage in bony tissues during bone osteotomy.[<xref rid="ref5" ref-type="bibr">5</xref>] Eriksson and Albrektsson described the critical temperature of 47°C for bone. Moreover, they also noted that temperature elevation between 44°C and 47°C may already lead to tissue necrosis.[<xref rid="ref6" ref-type="bibr">6</xref><xref rid="ref7" ref-type="bibr">7</xref>] It should be noted that, heat and necrosis have a directly proportional relationship[<xref rid="ref6" ref-type="bibr">6</xref><xref rid="ref8" ref-type="bibr">8</xref>] and increased areas of necrosis result in tissue breakdown and impairment of wound healing.[<xref rid="ref7" ref-type="bibr">7</xref><xref rid="ref8" ref-type="bibr">8</xref>] If the zone of necrotic bone exceeds a certain limit, the body is no longer able to easily remove the devitalized tissues. In this regard, investigators have shown that reduction of heat, shortens healing periods and allows a faster integration of osteosynthesis.[<xref rid="ref9" ref-type="bibr">9</xref>]</p><p>However, safety and the efficacy of the laser depend on applied laser parameters as well as on the tissue characteristics.[<xref rid="ref10" ref-type="bibr">10</xref>] Erbium:yttrium aluminum garnet (Er:YAG) laser are widely used for osteotomy procedures. The Er:YAG laser, with the wavelength of 2.94 μm, has demonstrated promising results with bone tissue due to maximum coincides with water absorption in the bone.[<xref rid="ref11" ref-type="bibr">11</xref>]</p><p>Majoran <italic>et al</italic>. found that, heat diffusion for Er:YAG-laser at a short pulse length (50-300 μs) is negligible.[<xref rid="ref11" ref-type="bibr">11</xref><xref rid="ref12" ref-type="bibr">12</xref>] Moreover, clinical trials studying laser drilling in dentine with Er:YAG laser light at a pulse length of 100 μs did already confirm the tissue preserving the character of the laser parameters.[<xref rid="ref13" ref-type="bibr">13</xref>]</p><p>To avoid temperature rise in hard tissue structures, the pulse duration has to be set close to the thermal relaxation time of the tissue respective of ablation thresholds.[<xref rid="ref2" ref-type="bibr">2</xref>] It can be assumed that the thermal relaxation time for bone is best estimated at a range between 20 μs and 80 μs.</p><p>The aim of this study was to evaluate the temperature changes and the consequent released thermal stress in cortical bone slices caused by an Er:YAG laser during osteotomy, using mathematical computation by means of Maple software, version 9.5 (Maplesoft, a division of Waterloo Maple Inc., Canada). The results obtained here were compared with the experimental measurements using Er:YAG laser in the osteotomy clinics.[<xref rid="ref2" ref-type="bibr">2</xref>]</p><p>According to the best of our knowledge, the use of such computation with methodology described here on laser systems for clinical applications on human bone has not been reported so far.</p><p>The use of computational methods for the study of anatomical organs can yield information that is difficult or impossible to obtain experimentally. Therefore, at this study computational method was used to assess the changes in temperature during laser-osteotomy.</p></sec><sec sec-type="materials|methods" id="sec1-2"><title>MATERIALS AND METHODS</title><p>Study method was in accordance with the experimental work on the measurements of temperature changes in cortical bone slices during osteotomy procedure.[<xref rid="ref2" ref-type="bibr">2</xref>] A bone slab with thickness of 1 mm was simulated using Maple software. <xref ref-type="table" rid="T1">Table 1</xref> gives the thermo-mechanical characteristics of the cortical bone for the calculations.</p><table-wrap id="T1" position="float"><label>Table 1</label><caption><p>Thermo-mechanical characteristics of the cortical bone</p></caption><graphic xlink:href="JMSS-3-262-g001"></graphic></table-wrap><p>Then, an Er:YAG laser (Fideliss 320A, Fotona Inc., Deggingen, Germany) emitting 100 μs pulses at a wavelength of 2940 nm was modeled. The laser was considered with a built-in 650 nm and 1 mW target beam. At the point of incidence of the laser beam, the diameter of the irradiated area was set to be approximately 1.1 mm. At this work 2 different clinical settings of the Er:YAG laser with 200 mJ and 400 mJ energies, both with 100 μs exposure and 500 μs silence were studied.</p><p>Water cooling was neglected from this study. However, for clinical applications, one can calculate the water flow rate using results of the temperature changes and the consequent released thermal stress in the bone slice.</p><p>To investigate the temperature distribution in the cortical bone, the time-dependent heat conduction equations were defined and solved in the Maple software.</p><p>The equation of the heat distribution function can be calculated as follows:[<xref rid="ref10" ref-type="bibr">10</xref>]</p><p><inline-graphic xlink:href="JMSS-3-262-g002.jpg"></inline-graphic></p><p>Finally, by defining the heat distribution function in the Maple, thermal stress in the bone was investigated using below equations.[<xref rid="ref18" ref-type="bibr">18</xref>]</p><p><inline-graphic xlink:href="JMSS-3-262-g003.jpg"></inline-graphic></p><p>Where σ<sub><italic>rr</italic></sub>, σ<sub><italic>zz</italic></sub> and σ<sub><italic>θθ</italic></sub> are the radial, axial and azimuthally stress components respectively, <italic>E</italic> is the young's modulus; <italic>n</italic> is the Poisson ratio and α<italic><sub>T</sub></italic> is thermal expansion coefficient.</p></sec><sec sec-type="results" id="sec1-3"><title>RESULTS</title><p>Results of the computations showed that, on the bone irradiated area the maximum temperature rise was 0.8°C and 1.6°C, for 200 mJ and 400 mJ Er:YAG laser exposure, respectively. The temperature rise reached to its minimum at radial distances of 1.2 cm from the point of irradiated area for 200 mJ lasers, while it was 1.5 cm for 400 mJ lasers.</p><p><xref ref-type="fig" rid="F1">Figure 1</xref> shows the distribution of temperature rise on the cortical bone surface for both 200 mJ and 400 mJ Er:YAG laser at different radii from the irradiated area.</p><fig id="F1" position="float"><label>Figure 1</label><caption><p>Distribution of temperature rise on the cortical bone irradiated area for, (a) 200 mJ and, (b) 400 mJ Erbium:yttrium aluminum garnet laser at different radii from the irradiated area</p></caption><graphic xlink:href="JMSS-3-262-g004"></graphic></fig><p>Considering the bone depth from the irradiated area, for 200 mJ laser the temperature rise reached to its minimum value at 0.05 mm. While, for 400 mJ laser the mentioned depth was 0.08 mm, significantly higher than 200 mJ laser. <xref ref-type="fig" rid="F2">Figure 2</xref> gives the distribution of temperature rise on the cortical bone irradiated area for 200 mJ and 400 mJ Er:YAG laser at the bone irradiated area to depth of 0.5 mm from the irradiated area.</p><fig id="F2" position="float"><label>Figure 2</label><caption><p>Distribution of temperature rise on the cortical bone irradiated area for, (a) 200 mJ and, (b) 400 mJ Erbium:yttrium aluminum garnet laser at different depths from the irradiated area</p></caption><graphic xlink:href="JMSS-3-262-g005"></graphic></fig><p><xref ref-type="fig" rid="F3">Figure 3</xref> illustrates the bone temperature rise following an 100 μs pulse of the 200 mJ and 400 mJ Er:YAG laser at different radii and depths from the irradiated area.</p><fig id="F3" position="float"><label>Figure 3</label><caption><p>Bone temperature rise following an 100 μs pulse of the 200 mJ and 400 mJ Erbium: yttrium aluminum garnet laser at different radii, (a) and depths, (b) from the irradiated area</p></caption><graphic xlink:href="JMSS-3-262-g006"></graphic></fig><p>Considering the consequent derived thermal stress due to laser exposure, it was found that for 200 mJ laser the maximum derived radial (σ<sub><italic>rr</italic></sub>), axial (σ<sub><italic>zz</italic></sub>) and azimuthally (σ<sub><italic>θθ</italic></sub>) stress components were 0.20, 0.16 and 0.08 MPa, respectively. While, for 400 mJ laser the maximum derived σ<sub><italic>rr</italic></sub>, σ<sub><italic>zz</italic></sub> and σ<sub><italic>θθ</italic></sub> stress components were 0.39, 0.31 and 0.16 MPa, respectively. Figures <xref ref-type="fig" rid="F4">4</xref> and <xref ref-type="fig" rid="F5">5</xref> show the derived σ<sub><italic>rr</italic></sub>, σ<sub><italic>zz</italic></sub> and σ<sub><italic>θθ</italic></sub> stress components for 200 and 400 mJ laser, respectively, at different depths and radii from the exposed area.</p><fig id="F4" position="float"><label>Figure 4</label><caption><p>Derived (a) σ<sub><italic>rr</italic></sub>, (b) σ<sub><italic>zz</italic></sub>, and (c) σ<sub><italic>θθ</italic></sub> stress components for 200 mJ laser at different depths and radii from the exposed area (minus value refers to bone contraction)</p></caption><graphic xlink:href="JMSS-3-262-g007"></graphic></fig><fig id="F5" position="float"><label>Figure 5</label><caption><p>Derived (a) σ<sub><italic>rr</italic></sub>, (b) σ<sub><italic>zz</italic></sub> and (c) σ<sub><italic>θθ</italic></sub> stress components for 400 mJ laser at different depths and radii from the exposed area (minus value refers to bone contraction)</p></caption><graphic xlink:href="JMSS-3-262-g008"></graphic></fig></sec><sec sec-type="discussion" id="sec1-4"><title>DISCUSSION</title><p>In this study, the temperature changes and the consequent released thermal stress in cortical bone slices caused by an Er:YAG laser during osteotomy was evaluated using Maple mathematical computation. The analysis was performed based on the previous work on the experimental measurements of temperature changes in cortical bone slices during osteotomy procedure.[<xref rid="ref2" ref-type="bibr">2</xref>]</p><p>The results showed that, for a 100 μs pulse of 400 mJ Er:YAG laser, the temperature rise at the exposed area is 1.6°C [<xref ref-type="fig" rid="F1">Figure 1a</xref>]. This was in a good agreement with the measured value of 2.0°C using a digital thermometer placed on the bone during Er:YAG laser osteotomy at a same settings. However, for 200 mJ laser, the discrepancy between the computed and measured value was relatively higher (up to 1.2°C). The discrepancy was mainly due to uncertainties in the experimental measurements and also the used thermo-mechanical characteristics in the simulations. Since thermo-mechanical characteristics of the cortical bone is related to age and diseases, material uncertainty might cause considerable effect on the simulated model.[<xref rid="ref19" ref-type="bibr">19</xref>]</p><p>As can be seen from Figures <xref ref-type="fig" rid="F4">4</xref> and <xref ref-type="fig" rid="F5">5</xref>, derived consequent thermal stress was less than 0.4 MPa for a 100 μs pulse, significantly below than the bone yield stress of 40.9-100.5 MPa. However, it should be noted that for continues exposure or pulse duration of >100 μs the derived value reaches a larger value. Generally, the stress behavior of bone is related to the mechanical properties of the mineral phase, the aspect ratio of the mineral platelets and the mechanical properties of the organic matrix.[<xref rid="ref19" ref-type="bibr">19</xref>]</p><p>Gerold Eyrich, measured the temperature rise and potential thermal damage to tissue during ablation of bone using an Er:YAG laser, equipped with a water-cooling spray. The results of his work revealed the mean temperature rise of 2.0°C on the bone irradiated area. While, in this work, heat conduction equation was solved for the similar bone slice dimensions and the temperature rise at the exposed area was calculated to be 1.6°C [<xref ref-type="fig" rid="F1">Figure 1a</xref>], which was in a good agreement with Gerold Eyrich measurements.[<xref rid="ref2" ref-type="bibr">2</xref>] Recently, Elahi and Farsi, simulated the temperature distribution in dentin under pulse Er:YAG laser radiation. In accordance to our work, they have solved heat conduction equation and consequently they have obtained the temperature distribution in dentin. Based on their results, on the dentin irradiated area the maximum temperature rise was 3.7°C, for 300 mJ Er:YAG laser exposure, which have very good consistency with the experiment. It should be noted that, compared with our work, the main differences was the defined thermo-mechanical characteristics of the cortical bone and dentin for the calculations.[<xref rid="ref10" ref-type="bibr">10</xref>] Lee <italic>et al</italic>. presented a new thermal model for bone drilling with applications to orthopedic surgery. Their new model combined a unique heat balance equation for the system of the drill bit and the chip stream, an ordinary heat diffusion equation for the bone and heat generation at the drill tip, arising from the cutting process and friction. In accordance to our results, they found that, the maximum temperature rise depends strongly on the osteotomy radius and depth [Figure <xref ref-type="fig" rid="F3">3a</xref> and <xref ref-type="fig" rid="F3">b</xref>].[<xref rid="ref1" ref-type="bibr">1</xref>]</p><p>At this study, different combinations of power were considered to evaluate the temperature changes and consequent thermal stress. However, it is also extremely difficult to determine a precise value, due to the individual difference between bone samples, e.g., maturity of bone, degree of mineralization, distribution of bone components (collagen), density of bone, orientation of layers and etc., For simplicity, only an average value of the thermo-mechanical properties of bone was introduced, taking into account for the analysis.</p><p>These results could be used as a guideline in numerous clinical applications in bone osteotomy, especially in designing a water coolant, i.ε., water flow rate. However, the feasibility of the method depends on accurate geometry construction, precise boundary condition definition and suitable thermo-mechanical characterization.[<xref rid="ref1" ref-type="bibr">1</xref>]</p><p>As stated earlier, to prevent thermal damage to adjacent tissue layers, the rise in bone tissue temperature may not exceed 47°C, nor persist for a duration longer than 1 min on 44°C.[<xref rid="ref20" ref-type="bibr">20</xref><xref rid="ref21" ref-type="bibr">21</xref>] Results of this study confirm that, use of 100 μs Er:YAG laser pulses with 500 μs silence, without continued water cooling on the exposed area, minimizes thermal tissue damage for the laser osteotomies.</p><p>In this work, a simple model has been considered wherein the viscoelastic nature, hierarchical organization and local variations in mineral content of bone tissue have not been taken into account. Moreover, the orientation of the mineral and organic has not been considered. We have assumed that the mineral and organic are isotropic. We have also neglected the complicated shape, orientation and distribution of the micro-porosity.</p></sec><sec sec-type="conclusion" id="sec1-5"><title>CONCLUSION</title><p>In this paper, thermal effects and the consequent released thermal stress in cortical bone slices caused by an Er:YAG laser during osteotomy was evaluated using mathematical computations. These results confirm that use of 100 μs Er:YAG laser pulses with 500 μs silence at 200 and 400 mJ energies minimizes thermal tissue damage, without continued water cooling on the exposed area. The results obtained were compared with the experimental measurements and a good agreement was found.</p></sec><sec id="sec1-6"><title>BIOGRAPHIES</title><p><graphic xlink:href="JMSS-3-262-g009.jpg" position="float"></graphic></p><p><bold>Asghar Gholami</bold> received his B.Sc. and M. Sc. degrees in Electronics Engineering from Isfahan University of Technology, Isfahan, Iran, in 1993 and 1996, respectively, and Ph.D. degree in Electrical Engineering from Ecole Supérieure d’Electricité (Supélec), France, in 2003. He was awarded a post-doctoral fellowship by Supélec University in 2007. As a post-doctoral fellow he worked on the Modeling, Simulation and Characterization of Next-Generation Multimode Fibers. He has published several research papers in this area. He is currently Assistant Professor at the Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran.</p><p><bold>E-mail:</bold><email xlink:href="Gholami@cc.iut.ac.ir">Gholami@cc.iut.ac.ir</email></p><p><graphic xlink:href="JMSS-3-262-g010.jpg" position="float"></graphic></p><p><bold>Molood Baradaran-Ghahfarokhi</bold> is currently M.Sc. student of Electronics Engineering at the Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran. Her research interests include Medical Applications of Lasers and Radiofrequency Radiation. She has published several research papers in these areas.</p><p><bold>E-mail:</bold><email xlink:href="M.baradaran@ec.iut.ac.ir">M.baradaran@ec.iut.ac.ir</email></p><p><graphic xlink:href="JMSS-3-262-g011.jpg" position="float"></graphic></p><p><bold>Marjan Ebrahimi</bold> received the B.Sc. degree in Atomic Physics from Islamic Azad University, Shahreza (Isfahan) Branch, Isfahan and M.Sc. degree in Laser Physics from Shiraz Payam-e-Noor University, Shiraz, Iran. Her research interests include Medical Applications of Lasers and Biomedical Engineering.</p><p><bold>E-mail:</bold><email xlink:href="Marjan_ebrahimi1000@yahoo.com">Marjan_ebrahimi1000@yahoo.com</email></p><p><graphic xlink:href="JMSS-3-262-g012.jpg" position="float"></graphic></p><p><bold>Milad Baradaran-Ghahfarokhi</bold> was born in Isfahan, Iran, in 1983. He received the B.Sc. degree in Mechanical Engineering and M.Sc. degree in Medical Radiation Engineering from Shiraz University, Shiraz, Iran. He is currently Ph.D. student of Medical Physics at Isfahan University of Medical Sciences, Isfahan, Iran. His research interests include biomechanical Finite Element Modeling, Monte Carlo simulation, 4D radiotherapy, radiation shielding design and manufacturing and nonionizing radiation.</p><p><bold>E-mail:</bold><email xlink:href="Milad_bgh@yahoo.com">Milad_bgh@yahoo.com</email></p></sec></body><back><fn-group><fn fn-type="supported-by"><p><bold>Source of Support:</bold> Nil</p></fn><fn fn-type="conflict"><p><bold>Conflict of Interest:</bold> None declared</p></fn></fn-group><ref-list><title>REFERENCES</title><ref id="ref1"><label>1</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Lee</surname><given-names>J</given-names></name><name><surname>Rabin</surname><given-names>Y</given-names></name><name><surname>Ozdoganlar</surname><given-names>OB</given-names></name></person-group><article-title>A new thermal model for bone drilling with applications to orthopaedic surgery</article-title><source>Med Eng Phys</source><year>2011</year><volume>33</volume><fpage>1234</fpage><lpage>44</lpage><pub-id pub-id-type="pmid">21803638</pub-id></element-citation></ref><ref id="ref2"><label>2</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Eyrich</surname><given-names>GK</given-names></name></person-group><article-title>Laser-osteotomy induced changes in bone</article-title><source>Med Laser Appl</source><year>2005</year><volume>20</volume><fpage>25</fpage><lpage>36</lpage></element-citation></ref><ref id="ref3"><label>3</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Horch</surname><given-names>HH</given-names></name></person-group><article-title>Zum aktuellen Stand der Laser-osteotomie</article-title><source>Orthopadie</source><year>1984</year><volume>13</volume><fpage>125</fpage></element-citation></ref><ref id="ref4"><label>4</label><element-citation publication-type="book"><person-group person-group-type="author"><name><surname>Horch</surname><given-names>HH</given-names></name><name><surname>McCord</surname><given-names>RC</given-names></name><name><surname>Keiditsch</surname><given-names>E</given-names></name></person-group><person-group person-group-type="editor"><name><surname>Kaplan</surname><given-names>I</given-names></name></person-group><article-title>Histological and long term results following laser osteotomy</article-title><source>Laser Surgery II</source><year>1978</year><publisher-name>Jerusalem Acad Press</publisher-name></element-citation></ref><ref id="ref5"><label>5</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Li</surname><given-names>S</given-names></name><name><surname>Chien</surname><given-names>S</given-names></name><name><surname>Brånemark</surname><given-names>PI</given-names></name></person-group><article-title>Heat shock-induced necrosis and apoptosis in osteoblasts</article-title><source>J Orthop Res</source><year>1999</year><volume>17</volume><fpage>891</fpage><lpage>9</lpage><pub-id pub-id-type="pmid">10632456</pub-id></element-citation></ref><ref id="ref6"><label>6</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Eriksson</surname><given-names>AR</given-names></name><name><surname>Albrektsson</surname><given-names>T</given-names></name></person-group><article-title>Temperature threshold levels for heat-induced bone tissue injury: A vital-microscopic study in the rabbit</article-title><source>J Prosthet Dent</source><year>1983</year><volume>50</volume><fpage>101</fpage><lpage>7</lpage><pub-id pub-id-type="pmid">6576145</pub-id></element-citation></ref><ref id="ref7"><label>7</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Eriksson</surname><given-names>RA</given-names></name><name><surname>Albrektsson</surname><given-names>T</given-names></name></person-group><article-title>The effect of heat on bone regeneration: An experimental study in the rabbit using the bone growth chamber</article-title><source>J Oral Maxillofac Surg</source><year>1984</year><volume>42</volume><fpage>705</fpage><lpage>11</lpage><pub-id pub-id-type="pmid">6593442</pub-id></element-citation></ref><ref id="ref8"><label>8</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Lundskog</surname><given-names>J</given-names></name></person-group><article-title>Heat and bone tissue. An experimental investigation of the thermal properties of bone and threshold levels for thermal injury</article-title><source>Scand J Plast Reconstr Surg</source><year>1972</year><volume>9</volume><fpage>1</fpage><lpage>80</lpage><pub-id pub-id-type="pmid">4661159</pub-id></element-citation></ref><ref id="ref9"><label>9</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Eriksson</surname><given-names>RA</given-names></name><name><surname>Adell</surname><given-names>R</given-names></name></person-group><article-title>Temperatures during drilling for the placement of implants using the osseointegration technique</article-title><source>J Oral Maxillofac Surg</source><year>1986</year><volume>44</volume><fpage>4</fpage><lpage>7</lpage><pub-id pub-id-type="pmid">3455722</pub-id></element-citation></ref><ref id="ref10"><label>10</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Elahi</surname><given-names>P</given-names></name><name><surname>Farsi</surname><given-names>B</given-names></name></person-group><article-title>The analytical calculation of the temperature distribution in dentin under pulse Er:YAG laser radiation</article-title><source>Eur Phys J Appl Phys</source><year>2010</year><volume>51</volume><fpage>20701</fpage></element-citation></ref><ref id="ref11"><label>11</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Zahn</surname><given-names>H</given-names></name><name><surname>Jungnickel</surname><given-names>V</given-names></name><name><surname>Ertl</surname><given-names>T</given-names></name><name><surname>Schmid</surname><given-names>S</given-names></name><name><surname>Muller</surname><given-names>G</given-names></name></person-group><article-title>Bone surgery with Er:YAG laser</article-title><source>Lasermedizin</source><year>1997</year><volume>13</volume><fpage>31</fpage><lpage>3</lpage></element-citation></ref><ref id="ref12"><label>12</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Majoran</surname><given-names>B</given-names></name><name><surname>Sustercic</surname><given-names>D</given-names></name><name><surname>Lukac</surname><given-names>M</given-names></name><name><surname>Skaleric</surname><given-names>U</given-names></name><name><surname>Funduk</surname><given-names>N</given-names></name></person-group><article-title>Heat diffusion and debris screening in Er:YAG laser ablation of hard biological tissues</article-title><source>Appl Phys B</source><year>1998</year><volume>66</volume><fpage>1</fpage><lpage>9</lpage></element-citation></ref><ref id="ref13"><label>13</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Nair</surname><given-names>PN</given-names></name><name><surname>Baltensperger</surname><given-names>MM</given-names></name><name><surname>Luder</surname><given-names>HU</given-names></name><name><surname>Eyrich</surname><given-names>GK</given-names></name></person-group><article-title>Pulpal response to Er:YAG laser drilling of dentine in healthy human third molars</article-title><source>Lasers Surg Med</source><year>2003</year><volume>32</volume><fpage>203</fpage><lpage>9</lpage><pub-id pub-id-type="pmid">12605427</pub-id></element-citation></ref><ref id="ref14"><label>14</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Rho</surname><given-names>JY</given-names></name><name><surname>Ashman</surname><given-names>RB</given-names></name><name><surname>Turner</surname><given-names>CH</given-names></name></person-group><article-title>Young's modulus of trabecular and cortical bone material: Ultrasonic and microtensile measurements</article-title><source>J Biomech</source><year>1993</year><volume>26</volume><fpage>111</fpage><lpage>9</lpage><pub-id pub-id-type="pmid">8429054</pub-id></element-citation></ref><ref id="ref15"><label>15</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Dechow</surname><given-names>PC</given-names></name><name><surname>Wang</surname><given-names>Q</given-names></name><name><surname>Peterson</surname><given-names>J</given-names></name></person-group><article-title>Edentulation alters material properties of cortical bone in the human craniofacial skeleton: Functional implications for craniofacial structure in primate evolution</article-title><source>Anat Rec (Hoboken)</source><year>2010</year><volume>293</volume><fpage>618</fpage><lpage>29</lpage><pub-id pub-id-type="pmid">20235319</pub-id></element-citation></ref><ref id="ref16"><label>16</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Ranu</surname><given-names>HS</given-names></name></person-group><article-title>The thermal properties of human cortical bone: An <italic>in vitro</italic> study</article-title><source>Eng Med</source><year>1987</year><volume>16</volume><fpage>175</fpage><lpage>6</lpage><pub-id pub-id-type="pmid">3678572</pub-id></element-citation></ref><ref id="ref17"><label>17</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Davidson</surname><given-names>SR</given-names></name><name><surname>James</surname><given-names>DF</given-names></name></person-group><article-title>Measurement of thermal conductivity of bovine cortical bone</article-title><source>Med Eng Phys</source><year>2000</year><volume>22</volume><fpage>741</fpage><lpage>7</lpage><pub-id pub-id-type="pmid">11334760</pub-id></element-citation></ref><ref id="ref18"><label>18</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Huang</surname><given-names>YS</given-names></name><name><surname>Tsai</surname><given-names>HL</given-names></name><name><surname>Chang</surname><given-names>FL</given-names></name></person-group><article-title>Thermo-optic effects affecting the high pump power end pumped solid state lasers: Modeling and analysis</article-title><source>Opt Commun</source><year>2007</year><volume>273</volume><fpage>515</fpage><lpage>25</lpage></element-citation></ref><ref id="ref19"><label>19</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Kotha</surname><given-names>SP</given-names></name><name><surname>Guzelsu</surname><given-names>N</given-names></name></person-group><article-title>Tensile behavior of cortical bone: Dependence of organic matrix material properties on bone mineral content</article-title><source>J Biomech</source><year>2007</year><volume>40</volume><fpage>36</fpage><lpage>45</lpage><pub-id pub-id-type="pmid">16434048</pub-id></element-citation></ref><ref id="ref20"><label>20</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Berman</surname><given-names>AT</given-names></name><name><surname>Reid</surname><given-names>JS</given-names></name><name><surname>Yanicko</surname><given-names>DR</given-names><suffix>Jr</suffix></name><name><surname>Sih</surname><given-names>GC</given-names></name><name><surname>Zimmerman</surname><given-names>MR</given-names></name></person-group><article-title>Thermally induced bone necrosis in rabbits. Relation to implant failure in humans</article-title><source>Clin Orthop Relat Res</source><year>1984</year><volume>186</volume><fpage>284</fpage><lpage>92</lpage><pub-id pub-id-type="pmid">6723155</pub-id></element-citation></ref><ref id="ref21"><label>21</label><element-citation publication-type="journal"><person-group person-group-type="author"><name><surname>Krause</surname><given-names>LS</given-names></name><name><surname>Cobb</surname><given-names>CM</given-names></name><name><surname>Rapley</surname><given-names>JW</given-names></name><name><surname>Killoy</surname><given-names>WJ</given-names></name><name><surname>Spencer</surname><given-names>P</given-names></name></person-group><article-title>Laser irradiation of bone. I. An <italic>in vitro</italic> study concerning the effects of the CO2 laser on oral mucosa and subjacent bone</article-title><source>J Periodontol</source><year>1997</year><volume>68</volume><fpage>872</fpage><lpage>80</lpage><pub-id pub-id-type="pmid">9379332</pub-id></element-citation></ref></ref-list></back></pmc></record>Pour manipuler ce document sous Unix (Dilib)
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