An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential

An anisotropic stress-driven growth model of living tissue is presented for tissue engineering based on Eulerian deformation tensor and growth potential. The evolution of growth is simply defined by the homeostatic pressure and Cauchy stress caused by the left Cauchy–Green deformation tensor that is...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mechanica 2021-03, Vol.232 (3), p.933-948
1. Verfasser: Lee, Eun-Ho
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 948
container_issue 3
container_start_page 933
container_title Acta mechanica
container_volume 232
creator Lee, Eun-Ho
description An anisotropic stress-driven growth model of living tissue is presented for tissue engineering based on Eulerian deformation tensor and growth potential. The evolution of growth is simply defined by the homeostatic pressure and Cauchy stress caused by the left Cauchy–Green deformation tensor that is an Eulerian deformation measure. For more generality, anisotropy is considered by proposing the concept of growth flow and growth potential that are inspired by the flow rule of plasticity theory. This method is then able to make three-dimensional anisotropic growth modeling. The Eulerian tensor-based characteristic enables easy implementation into finite element method (FEM). The presented model was implemented into an FEM code and validated by a theoretical solution of thick-walled hollow tubes of soft tissue in homeostatic state, and aortic stenting simulation was also performed for biomedical engineering application. The simulation results show good agreement with the references. The effect of the anisotropic function is also discussed with one element tension simulation. Finally, it is shown that the proposed model can capture experimental data of a growing tumor tissue, and a future work is discussed.
doi_str_mv 10.1007/s00707-020-02885-3
format Article
fullrecord <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2501358896</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A656116482</galeid><sourcerecordid>A656116482</sourcerecordid><originalsourceid>FETCH-LOGICAL-c395t-36687795f954e8f9a80c8a08dc80311b6bdd38f8a4c6230848d9c298b0fa614f3</originalsourceid><addsrcrecordid>eNp9kU9vGyEQxVHVSHXdfIGckHLeZFh2WThaVtpEipRLekaYPw7WGlwGt-q3L822yi1CgObp_YYRj5ArBjcMYLrFdsDUQQ9tSzl2_ANZMcFUJxSfPpIVALBuVBN8Ip8RD63qp4GtCG4SNSliriWfoqVYi0fsXIk_faL7kn_VF3rMzs805EIxh0prRDx7ujPoHc2J3p1nX6JJ1PnmOZoam1h9wgaY5P53OeWm1WjmL-QimBn95b97Tb5_vXve3nePT98etpvHznI11o4LIadJjUGNg5dBGQlWGpDOSuCM7cTOOS6DNIMVPQc5SKdsr-QOghFsCHxNrpe-p5J_nD1WfcjnktqTuh-B8VFKJZrrZnHtzex1TKF9hbFtOX-MNicfYtM3YhSMiUH2DegXwJaMWHzQpxKPpvzWDPTfNPSShm5p6Nc0NG8QXyBs5rT35W2Wd6g_eM2OMw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2501358896</pqid></control><display><type>article</type><title>An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential</title><source>SpringerNature Journals</source><creator>Lee, Eun-Ho</creator><creatorcontrib>Lee, Eun-Ho</creatorcontrib><description>An anisotropic stress-driven growth model of living tissue is presented for tissue engineering based on Eulerian deformation tensor and growth potential. The evolution of growth is simply defined by the homeostatic pressure and Cauchy stress caused by the left Cauchy–Green deformation tensor that is an Eulerian deformation measure. For more generality, anisotropy is considered by proposing the concept of growth flow and growth potential that are inspired by the flow rule of plasticity theory. This method is then able to make three-dimensional anisotropic growth modeling. The Eulerian tensor-based characteristic enables easy implementation into finite element method (FEM). The presented model was implemented into an FEM code and validated by a theoretical solution of thick-walled hollow tubes of soft tissue in homeostatic state, and aortic stenting simulation was also performed for biomedical engineering application. The simulation results show good agreement with the references. The effect of the anisotropic function is also discussed with one element tension simulation. Finally, it is shown that the proposed model can capture experimental data of a growing tumor tissue, and a future work is discussed.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/s00707-020-02885-3</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Analysis ; Anisotropy ; Aorta ; Biomedical engineering ; Classical and Continuum Physics ; Control ; Dynamical Systems ; Engineering ; Engineering Fluid Dynamics ; Engineering Thermodynamics ; Finite element method ; Growth models ; Heat and Mass Transfer ; Mathematical analysis ; Mathematical models ; Original Paper ; Simulation ; Soft tissues ; Solid Mechanics ; Tensors ; Theoretical and Applied Mechanics ; Three dimensional models ; Tissue engineering ; Tubes ; Vibration</subject><ispartof>Acta mechanica, 2021-03, Vol.232 (3), p.933-948</ispartof><rights>Springer-Verlag GmbH Austria, part of Springer Nature 2021</rights><rights>COPYRIGHT 2021 Springer</rights><rights>Springer-Verlag GmbH Austria, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c395t-36687795f954e8f9a80c8a08dc80311b6bdd38f8a4c6230848d9c298b0fa614f3</citedby><cites>FETCH-LOGICAL-c395t-36687795f954e8f9a80c8a08dc80311b6bdd38f8a4c6230848d9c298b0fa614f3</cites><orcidid>0000-0003-1270-7954</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00707-020-02885-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00707-020-02885-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Lee, Eun-Ho</creatorcontrib><title>An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential</title><title>Acta mechanica</title><addtitle>Acta Mech</addtitle><description>An anisotropic stress-driven growth model of living tissue is presented for tissue engineering based on Eulerian deformation tensor and growth potential. The evolution of growth is simply defined by the homeostatic pressure and Cauchy stress caused by the left Cauchy–Green deformation tensor that is an Eulerian deformation measure. For more generality, anisotropy is considered by proposing the concept of growth flow and growth potential that are inspired by the flow rule of plasticity theory. This method is then able to make three-dimensional anisotropic growth modeling. The Eulerian tensor-based characteristic enables easy implementation into finite element method (FEM). The presented model was implemented into an FEM code and validated by a theoretical solution of thick-walled hollow tubes of soft tissue in homeostatic state, and aortic stenting simulation was also performed for biomedical engineering application. The simulation results show good agreement with the references. The effect of the anisotropic function is also discussed with one element tension simulation. Finally, it is shown that the proposed model can capture experimental data of a growing tumor tissue, and a future work is discussed.</description><subject>Analysis</subject><subject>Anisotropy</subject><subject>Aorta</subject><subject>Biomedical engineering</subject><subject>Classical and Continuum Physics</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Engineering Thermodynamics</subject><subject>Finite element method</subject><subject>Growth models</subject><subject>Heat and Mass Transfer</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Original Paper</subject><subject>Simulation</subject><subject>Soft tissues</subject><subject>Solid Mechanics</subject><subject>Tensors</subject><subject>Theoretical and Applied Mechanics</subject><subject>Three dimensional models</subject><subject>Tissue engineering</subject><subject>Tubes</subject><subject>Vibration</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kU9vGyEQxVHVSHXdfIGckHLeZFh2WThaVtpEipRLekaYPw7WGlwGt-q3L822yi1CgObp_YYRj5ArBjcMYLrFdsDUQQ9tSzl2_ANZMcFUJxSfPpIVALBuVBN8Ip8RD63qp4GtCG4SNSliriWfoqVYi0fsXIk_faL7kn_VF3rMzs805EIxh0prRDx7ujPoHc2J3p1nX6JJ1PnmOZoam1h9wgaY5P53OeWm1WjmL-QimBn95b97Tb5_vXve3nePT98etpvHznI11o4LIadJjUGNg5dBGQlWGpDOSuCM7cTOOS6DNIMVPQc5SKdsr-QOghFsCHxNrpe-p5J_nD1WfcjnktqTuh-B8VFKJZrrZnHtzex1TKF9hbFtOX-MNicfYtM3YhSMiUH2DegXwJaMWHzQpxKPpvzWDPTfNPSShm5p6Nc0NG8QXyBs5rT35W2Wd6g_eM2OMw</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Lee, Eun-Ho</creator><general>Springer Vienna</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><orcidid>https://orcid.org/0000-0003-1270-7954</orcidid></search><sort><creationdate>20210301</creationdate><title>An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential</title><author>Lee, Eun-Ho</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c395t-36687795f954e8f9a80c8a08dc80311b6bdd38f8a4c6230848d9c298b0fa614f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Analysis</topic><topic>Anisotropy</topic><topic>Aorta</topic><topic>Biomedical engineering</topic><topic>Classical and Continuum Physics</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Engineering Thermodynamics</topic><topic>Finite element method</topic><topic>Growth models</topic><topic>Heat and Mass Transfer</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Original Paper</topic><topic>Simulation</topic><topic>Soft tissues</topic><topic>Solid Mechanics</topic><topic>Tensors</topic><topic>Theoretical and Applied Mechanics</topic><topic>Three dimensional models</topic><topic>Tissue engineering</topic><topic>Tubes</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, Eun-Ho</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</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 Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering &amp; Technology Collection</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, Eun-Ho</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2021-03-01</date><risdate>2021</risdate><volume>232</volume><issue>3</issue><spage>933</spage><epage>948</epage><pages>933-948</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><abstract>An anisotropic stress-driven growth model of living tissue is presented for tissue engineering based on Eulerian deformation tensor and growth potential. The evolution of growth is simply defined by the homeostatic pressure and Cauchy stress caused by the left Cauchy–Green deformation tensor that is an Eulerian deformation measure. For more generality, anisotropy is considered by proposing the concept of growth flow and growth potential that are inspired by the flow rule of plasticity theory. This method is then able to make three-dimensional anisotropic growth modeling. The Eulerian tensor-based characteristic enables easy implementation into finite element method (FEM). The presented model was implemented into an FEM code and validated by a theoretical solution of thick-walled hollow tubes of soft tissue in homeostatic state, and aortic stenting simulation was also performed for biomedical engineering application. The simulation results show good agreement with the references. The effect of the anisotropic function is also discussed with one element tension simulation. Finally, it is shown that the proposed model can capture experimental data of a growing tumor tissue, and a future work is discussed.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-020-02885-3</doi><tpages>16</tpages><orcidid>https://orcid.org/0000-0003-1270-7954</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0001-5970
ispartof Acta mechanica, 2021-03, Vol.232 (3), p.933-948
issn 0001-5970
1619-6937
language eng
recordid cdi_proquest_journals_2501358896
source SpringerNature Journals
subjects Analysis
Anisotropy
Aorta
Biomedical engineering
Classical and Continuum Physics
Control
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Finite element method
Growth models
Heat and Mass Transfer
Mathematical analysis
Mathematical models
Original Paper
Simulation
Soft tissues
Solid Mechanics
Tensors
Theoretical and Applied Mechanics
Three dimensional models
Tissue engineering
Tubes
Vibration
title An anisotropic stress-driven growth model for soft tissue based on Eulerian deformation tensor and growth potential
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T07%3A06%3A58IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=An%20anisotropic%20stress-driven%20growth%20model%20for%20soft%20tissue%20based%20on%20Eulerian%20deformation%20tensor%20and%20growth%20potential&rft.jtitle=Acta%20mechanica&rft.au=Lee,%20Eun-Ho&rft.date=2021-03-01&rft.volume=232&rft.issue=3&rft.spage=933&rft.epage=948&rft.pages=933-948&rft.issn=0001-5970&rft.eissn=1619-6937&rft_id=info:doi/10.1007/s00707-020-02885-3&rft_dat=%3Cgale_proqu%3EA656116482%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2501358896&rft_id=info:pmid/&rft_galeid=A656116482&rfr_iscdi=true