3D biomechanical properties of the layered esophagus: Fung-type SEF and new constitutive model
Background and Purpose: Most current studies on the passive biomechanical properties of esophageal tissues directly use the exponential strain energy function (SEF) to fit and calculate the constants of the constitutive equation. In the context of the extensive application of exponential SEF, in-dep...
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| description | Background and Purpose: Most current studies on the passive biomechanical properties of esophageal tissues directly use the exponential strain energy function (SEF) to fit and calculate the constants of the constitutive equation. In the context of the extensive application of exponential SEF, in-depth research on the exponential SEF is still lacking. The purpose of this study is to combine the exponential function with the polynomial SEF to obtain the most suitable constitutive equation to describe the three-dimensional passive behavior of the esophagus. Methods: fresh pig esophagus with a length of 13 cm in the middle position was selected as esophageal samples. The esophageal sample was separated into muscular layer and mucosal layer with surgical scissors. Stretch–inflation mechanical tests of the intact esophagus, esophageal muscular, and esophageal mucosa were carried out on a triaxial test machine. The external radius, axial force, and internal pressure were recorded simultaneously. The seven-parameter Fung-type SEF and several new SEFs combining polynomials and exponents were used to fit the experimental data curves. Results: The stretch–inflation test data and the morphometric parameters at the zero-stress state of the layered esophagus were obtained. The new SEF with polynomial and exponential combination is more suitable to describe describing the three-dimensional passive biomechanical properties of esophageal tissue. Among them, New-Fung13 SEF is more suitable for describing the passive biomechanical properties of intact esophageal tissue, Sokolis-Fung13 SEF is more suitable for the esophageal muscle layer, and New-Fung10 SEF is more suitable for the esophageal mucosa. The constitutive parameters of the optimal constitutive model for each layer of the esophagus were obtained. |
| doi_str_mv | 10.1007/s10237-021-01476-y |
| format | Article |
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In the context of the extensive application of exponential SEF, in-depth research on the exponential SEF is still lacking. The purpose of this study is to combine the exponential function with the polynomial SEF to obtain the most suitable constitutive equation to describe the three-dimensional passive behavior of the esophagus. Methods: fresh pig esophagus with a length of 13 cm in the middle position was selected as esophageal samples. The esophageal sample was separated into muscular layer and mucosal layer with surgical scissors. Stretch–inflation mechanical tests of the intact esophagus, esophageal muscular, and esophageal mucosa were carried out on a triaxial test machine. The external radius, axial force, and internal pressure were recorded simultaneously. The seven-parameter Fung-type SEF and several new SEFs combining polynomials and exponents were used to fit the experimental data curves. Results: The stretch–inflation test data and the morphometric parameters at the zero-stress state of the layered esophagus were obtained. The new SEF with polynomial and exponential combination is more suitable to describe describing the three-dimensional passive biomechanical properties of esophageal tissue. Among them, New-Fung13 SEF is more suitable for describing the passive biomechanical properties of intact esophageal tissue, Sokolis-Fung13 SEF is more suitable for the esophageal muscle layer, and New-Fung10 SEF is more suitable for the esophageal mucosa. The constitutive parameters of the optimal constitutive model for each layer of the esophagus were obtained.</description><identifier>ISSN: 1617-7959</identifier><identifier>EISSN: 1617-7940</identifier><identifier>DOI: 10.1007/s10237-021-01476-y</identifier><identifier>PMID: 34132899</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algorithms ; Animals ; Axial forces ; Biological and Medical Physics ; Biomechanical Phenomena ; Biomechanics ; Biomedical Engineering and Bioengineering ; Biophysics ; Cell Culture Techniques ; Computer Simulation ; Constitutive equations ; Constitutive models ; Constitutive relationships ; Cutting tools ; Elasticity ; Engineering ; Equipment Design ; Esophageal Mucosa - physiology ; Esophagus ; Esophagus - physiology ; Exponential functions ; External pressure ; Imaging, Three-Dimensional - methods ; Internal pressure ; Mathematical models ; Mechanical properties ; Mechanical tests ; Models, Biological ; Models, Theoretical ; Mucosa ; Mucous Membrane ; Muscle, Smooth - physiology ; Muscles ; Muscles - physiology ; Original Paper ; Parameters ; Polynomials ; Stress, Mechanical ; Swine ; Tensile Strength ; Theoretical and Applied Mechanics ; Triaxial tests</subject><ispartof>Biomechanics and modeling in mechanobiology, 2021-10, Vol.20 (5), p.1775-1788</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021</rights><rights>2021. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.</rights><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c375t-9437b395e6e31fa8d09274eb422da6dc028b8f58460b68b71ea95c8e13a8db473</citedby><cites>FETCH-LOGICAL-c375t-9437b395e6e31fa8d09274eb422da6dc028b8f58460b68b71ea95c8e13a8db473</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10237-021-01476-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10237-021-01476-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/34132899$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Ren, Pan</creatorcontrib><creatorcontrib>Deng, Xing</creatorcontrib><creatorcontrib>Li, KeZhou</creatorcontrib><creatorcontrib>Li, GuiHao</creatorcontrib><creatorcontrib>Li, Wei</creatorcontrib><title>3D biomechanical properties of the layered esophagus: Fung-type SEF and new constitutive model</title><title>Biomechanics and modeling in mechanobiology</title><addtitle>Biomech Model Mechanobiol</addtitle><addtitle>Biomech Model Mechanobiol</addtitle><description>Background and Purpose: Most current studies on the passive biomechanical properties of esophageal tissues directly use the exponential strain energy function (SEF) to fit and calculate the constants of the constitutive equation. In the context of the extensive application of exponential SEF, in-depth research on the exponential SEF is still lacking. The purpose of this study is to combine the exponential function with the polynomial SEF to obtain the most suitable constitutive equation to describe the three-dimensional passive behavior of the esophagus. Methods: fresh pig esophagus with a length of 13 cm in the middle position was selected as esophageal samples. The esophageal sample was separated into muscular layer and mucosal layer with surgical scissors. Stretch–inflation mechanical tests of the intact esophagus, esophageal muscular, and esophageal mucosa were carried out on a triaxial test machine. The external radius, axial force, and internal pressure were recorded simultaneously. The seven-parameter Fung-type SEF and several new SEFs combining polynomials and exponents were used to fit the experimental data curves. Results: The stretch–inflation test data and the morphometric parameters at the zero-stress state of the layered esophagus were obtained. The new SEF with polynomial and exponential combination is more suitable to describe describing the three-dimensional passive biomechanical properties of esophageal tissue. Among them, New-Fung13 SEF is more suitable for describing the passive biomechanical properties of intact esophageal tissue, Sokolis-Fung13 SEF is more suitable for the esophageal muscle layer, and New-Fung10 SEF is more suitable for the esophageal mucosa. The constitutive parameters of the optimal constitutive model for each layer of the esophagus were obtained.</description><subject>Algorithms</subject><subject>Animals</subject><subject>Axial forces</subject><subject>Biological and Medical Physics</subject><subject>Biomechanical Phenomena</subject><subject>Biomechanics</subject><subject>Biomedical Engineering and Bioengineering</subject><subject>Biophysics</subject><subject>Cell Culture Techniques</subject><subject>Computer Simulation</subject><subject>Constitutive equations</subject><subject>Constitutive models</subject><subject>Constitutive relationships</subject><subject>Cutting tools</subject><subject>Elasticity</subject><subject>Engineering</subject><subject>Equipment Design</subject><subject>Esophageal Mucosa - physiology</subject><subject>Esophagus</subject><subject>Esophagus - physiology</subject><subject>Exponential functions</subject><subject>External pressure</subject><subject>Imaging, Three-Dimensional - methods</subject><subject>Internal pressure</subject><subject>Mathematical models</subject><subject>Mechanical properties</subject><subject>Mechanical tests</subject><subject>Models, Biological</subject><subject>Models, Theoretical</subject><subject>Mucosa</subject><subject>Mucous Membrane</subject><subject>Muscle, Smooth - physiology</subject><subject>Muscles</subject><subject>Muscles - physiology</subject><subject>Original Paper</subject><subject>Parameters</subject><subject>Polynomials</subject><subject>Stress, Mechanical</subject><subject>Swine</subject><subject>Tensile Strength</subject><subject>Theoretical and Applied Mechanics</subject><subject>Triaxial tests</subject><issn>1617-7959</issn><issn>1617-7940</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp9kE1LxDAQhoMouq7-AQ8S8OKlmq82qTdZXRUWPKhXQ9pOdyttU5NW6b83urqCB08zMM-8MzwIHVFyRgmR554SxmVEGI0IFTKJxi00oQmVkUwF2d70cbqH9r1_IYQRrvgu2uOCcqbSdIKe-RXOKttAvjJtlZsad8524PoKPLYl7leAazOCgwKDt93KLAd_gedDu4z6sQP8cD3Hpi1wC-84t63vq37oqzfAjS2gPkA7pak9HH7XKXqaXz_ObqPF_c3d7HIR5VzGfZQKLjOexpAAp6VRBUmZFJAJxgqTFDlhKlNlrERCskRlkoJJ41wB5YHNhORTdLrODd-_DuB73VQ-h7o2LdjBaxYLKlWwIgJ68gd9sYNrw3eBkoISIRQNFFtTubPeOyh156rGuFFToj_t67V9HezrL_t6DEvH39FD1kCxWfnRHQC-BnwYtUtwv7f_if0A7BuPkg</recordid><startdate>20211001</startdate><enddate>20211001</enddate><creator>Ren, Pan</creator><creator>Deng, Xing</creator><creator>Li, KeZhou</creator><creator>Li, GuiHao</creator><creator>Li, Wei</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7QO</scope><scope>7QP</scope><scope>7TB</scope><scope>7TK</scope><scope>7X7</scope><scope>7XB</scope><scope>88E</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>L6V</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M2P</scope><scope>M7P</scope><scope>M7S</scope><scope>P64</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><scope>7X8</scope></search><sort><creationdate>20211001</creationdate><title>3D biomechanical properties of the layered esophagus: Fung-type SEF and new constitutive model</title><author>Ren, Pan ; Deng, Xing ; Li, KeZhou ; Li, GuiHao ; Li, Wei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c375t-9437b395e6e31fa8d09274eb422da6dc028b8f58460b68b71ea95c8e13a8db473</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algorithms</topic><topic>Animals</topic><topic>Axial forces</topic><topic>Biological and Medical Physics</topic><topic>Biomechanical Phenomena</topic><topic>Biomechanics</topic><topic>Biomedical Engineering and Bioengineering</topic><topic>Biophysics</topic><topic>Cell Culture Techniques</topic><topic>Computer Simulation</topic><topic>Constitutive equations</topic><topic>Constitutive models</topic><topic>Constitutive relationships</topic><topic>Cutting tools</topic><topic>Elasticity</topic><topic>Engineering</topic><topic>Equipment Design</topic><topic>Esophageal Mucosa - physiology</topic><topic>Esophagus</topic><topic>Esophagus - physiology</topic><topic>Exponential functions</topic><topic>External pressure</topic><topic>Imaging, Three-Dimensional - methods</topic><topic>Internal pressure</topic><topic>Mathematical models</topic><topic>Mechanical properties</topic><topic>Mechanical tests</topic><topic>Models, Biological</topic><topic>Models, Theoretical</topic><topic>Mucosa</topic><topic>Mucous Membrane</topic><topic>Muscle, Smooth - physiology</topic><topic>Muscles</topic><topic>Muscles - physiology</topic><topic>Original Paper</topic><topic>Parameters</topic><topic>Polynomials</topic><topic>Stress, Mechanical</topic><topic>Swine</topic><topic>Tensile Strength</topic><topic>Theoretical and Applied Mechanics</topic><topic>Triaxial tests</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ren, Pan</creatorcontrib><creatorcontrib>Deng, Xing</creatorcontrib><creatorcontrib>Li, KeZhou</creatorcontrib><creatorcontrib>Li, GuiHao</creatorcontrib><creatorcontrib>Li, Wei</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Biotechnology Research Abstracts</collection><collection>Calcium & Calcified Tissue Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Neurosciences Abstracts</collection><collection>Health & Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health & Medical Complete (Alumni)</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>Health & Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>Science Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><collection>MEDLINE - Academic</collection><jtitle>Biomechanics and modeling in mechanobiology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ren, Pan</au><au>Deng, Xing</au><au>Li, KeZhou</au><au>Li, GuiHao</au><au>Li, Wei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>3D biomechanical properties of the layered esophagus: Fung-type SEF and new constitutive model</atitle><jtitle>Biomechanics and modeling in mechanobiology</jtitle><stitle>Biomech Model Mechanobiol</stitle><addtitle>Biomech Model Mechanobiol</addtitle><date>2021-10-01</date><risdate>2021</risdate><volume>20</volume><issue>5</issue><spage>1775</spage><epage>1788</epage><pages>1775-1788</pages><issn>1617-7959</issn><eissn>1617-7940</eissn><abstract>Background and Purpose: Most current studies on the passive biomechanical properties of esophageal tissues directly use the exponential strain energy function (SEF) to fit and calculate the constants of the constitutive equation. In the context of the extensive application of exponential SEF, in-depth research on the exponential SEF is still lacking. The purpose of this study is to combine the exponential function with the polynomial SEF to obtain the most suitable constitutive equation to describe the three-dimensional passive behavior of the esophagus. Methods: fresh pig esophagus with a length of 13 cm in the middle position was selected as esophageal samples. The esophageal sample was separated into muscular layer and mucosal layer with surgical scissors. Stretch–inflation mechanical tests of the intact esophagus, esophageal muscular, and esophageal mucosa were carried out on a triaxial test machine. The external radius, axial force, and internal pressure were recorded simultaneously. The seven-parameter Fung-type SEF and several new SEFs combining polynomials and exponents were used to fit the experimental data curves. Results: The stretch–inflation test data and the morphometric parameters at the zero-stress state of the layered esophagus were obtained. The new SEF with polynomial and exponential combination is more suitable to describe describing the three-dimensional passive biomechanical properties of esophageal tissue. Among them, New-Fung13 SEF is more suitable for describing the passive biomechanical properties of intact esophageal tissue, Sokolis-Fung13 SEF is more suitable for the esophageal muscle layer, and New-Fung10 SEF is more suitable for the esophageal mucosa. The constitutive parameters of the optimal constitutive model for each layer of the esophagus were obtained.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><pmid>34132899</pmid><doi>10.1007/s10237-021-01476-y</doi><tpages>14</tpages></addata></record> |
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| subjects | Algorithms Animals Axial forces Biological and Medical Physics Biomechanical Phenomena Biomechanics Biomedical Engineering and Bioengineering Biophysics Cell Culture Techniques Computer Simulation Constitutive equations Constitutive models Constitutive relationships Cutting tools Elasticity Engineering Equipment Design Esophageal Mucosa - physiology Esophagus Esophagus - physiology Exponential functions External pressure Imaging, Three-Dimensional - methods Internal pressure Mathematical models Mechanical properties Mechanical tests Models, Biological Models, Theoretical Mucosa Mucous Membrane Muscle, Smooth - physiology Muscles Muscles - physiology Original Paper Parameters Polynomials Stress, Mechanical Swine Tensile Strength Theoretical and Applied Mechanics Triaxial tests |
| title | 3D biomechanical properties of the layered esophagus: Fung-type SEF and new constitutive model |
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