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<export-example>
  <doc>
    <id>2267</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>49</pageFirst>
    <pageLast>57</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>bookpart</type>
    <publisherName>Universität Jena</publisherName>
    <publisherPlace>Germany</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers</title>
    <parentTitle language="eng">Berichte des IZWR - Interdisziplinäres Zentrum für Wissenschaftliches Rechnen</parentTitle>
    <author>Jens Lang</author>
    <editor>Walter Alt</editor>
    <author>Bodo Erdmann</author>
    <editor>Martin Hermann</editor>
    <author>Cornelia Kober</author>
    <author>Peter Deuflhard</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
  </doc>
  <doc>
    <id>2202</id>
    <completedYear>2008</completedYear>
    <publishedYear>2008</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>108</pageFirst>
    <pageLast>122</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>36</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible</title>
    <parentTitle language="eng">Annals of Biomedical Engineering</parentTitle>
    <identifier type="doi">10.1007/s10439-007-9393-8</identifier>
    <author>Christian Hellmich</author>
    <author>Cornelia Kober</author>
    <author>Bodo Erdmann</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>791</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-05-10</completedDate>
    <publishedDate>2004-05-10</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive Finite Element Simulation of the Human Mandible Using a New Physiological Model of the Masticatory Muscles</title>
    <abstract language="eng">Structural mechanics simulation of bony organs is of general medical and biomechanical interest, because of the interdependence of the inner architecture of bone and its functional loading already stated by Wolff in 1892. This work is part of a detailed research project concerning the human mandible. By adaptive finite element techniques, stress/strain profiles occurring in the bony structure under biting were simulated. Estimates of the discretization errors, local grid refinement, and multilevel techniques guarantee the reliability and efficiency of the method. In general, our simulation requires a representation of the organ's geometry, an appropriate material description, and the load case due to teeth, muscle, or joint forces. In this paper, we want to focus on the influence of the masticatory system. Our goal is to capture the physiological situation as far as possible. By means of visualization techniques developed by the group, we are able to extract individual muscle fibres from computed tomography data. By a special algorithm, the fibres are expanded to fanlike (esp. for the musc. temporalis) coherent vector fields similar to the anatomical reality. The activity of the fibres can be adapted according to compartmentalisation of the muscles as measured by electromyological experiments. A refined sensitivity analysis proved remarkable impact of the presented approach on the simulation results.</abstract>
    <identifier type="serial">04-16</identifier>
    <identifier type="opus3-id">792</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7917</identifier>
    <enrichment key="SourceTitle">Appeared in: Proc. of the 75th Annual Meeting of the GAMM Dresden, PAMM (2004) 332-333</enrichment>
    <author>Cornelia Kober</author>
    <author>Bodo Erdmann</author>
    <author>Jens Lang</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-16</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>error estimation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>local grid refinement</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>isotropic linear elasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>human mandible</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>masticatory muscles</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65M50">Mesh generation and refinement</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/791/ZR-04-16.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/791/ZR-04-16.pdf</file>
  </doc>
  <doc>
    <id>787</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-04-30</completedDate>
    <publishedDate>2004-04-30</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Anisotropic Simulation of the Human Mandible</title>
    <abstract language="eng">We focus on the role of anisotropic elasticity in the simulation of the load distribution in a human mandible due to a lateral bite on the leftmost premolar. Based on experimental evidence, we adopt ``local''" orthotropy of the elastic properties of the bone tissue. Since the trajectories of anisotropic elasticity are not accessible from Computer Tomographic (CT) data, they will be reconstructed from (i) the organ's geometry and (ii) from coherent structures which can be recognized from the spatial distribution of the CT values. A sensitivity analysis comprising various 3D FE simulations reveals the relevance of elastic anisotropy for the load carrying behavior of a human mandible: Comparison of the load distributions in isotropic and anisotropic simulations indicates that anisotropy seems to ``spare''" the mandible from loading. Moreover, a maximum degree of anisotropy leads to kind of an load minimization of the mandible, expressed by a minimum of different norms of local strain, evaluated throughout the organ. Thus, we may suggest that anisotropy is not only relevant, but also in some sense ``optimal''.</abstract>
    <identifier type="serial">04-12</identifier>
    <identifier type="opus3-id">788</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7873</identifier>
    <enrichment key="SourceTitle">Appeared in: Proc. of the 17th ASCE Engineering Mechancis Conference, June 13-16, 2004, Univ. of Delaware, Newark, USA (CD-ROM)</enrichment>
    <author>Cornelia Kober</author>
    <author>Bodo Erdmann</author>
    <author>Christian Hellmich</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-12</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>anisotropy</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>elasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>bony organ simulation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>human mandible</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>visualization of tissue quality</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element analysis</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65M50">Mesh generation and refinement</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/787/ZR-04-12.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/787/ZR-04-12.pdf</file>
  </doc>
  <doc>
    <id>745</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2003-07-23</completedDate>
    <publishedDate>2003-07-23</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Simulation of the Human Mandible: Comparison of Bone Mineral Density and Stress/Strain Profiles due to Masticatory
Muscles' Traction</title>
    <abstract language="eng">The correlation of the inner architecture of bone and its functional loading was already stated by Wolff in 1892. Our objective is to demonstrate this interdependence in the case of the human mandible. For this purpose, stress/strain profiles occuring at a human lateral bite were simulated. Additionally, by a combination of computer graphics modules, a three--dimensional volumetric visualization of bone mineral density could be given. Qualitative correspondences between the density profile of the jaw and the simulated stress/strain profiles could be pointed out. In the long run, this might enable the use of the simulation for diagnosis and prognosis. The solution of the underlying partial differential equations describing linear elastic material behaviour was provided by an adaptive finite element method. Estimates of the discretization errors, local grid refinement, and multilevel techniques guaranteed the reliability and efficiency of the method.</abstract>
    <identifier type="serial">03-23</identifier>
    <identifier type="opus3-id">746</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7458</identifier>
    <enrichment key="SourceTitle">Appeared in: Proceedings of 10th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, July 2003 (CD-ROM)</enrichment>
    <author>Cornelia Kober</author>
    <author>Bodo Erdmann</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <series>
      <title>ZIB-Report</title>
      <number>03-23</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>linear elasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive grid refinement</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>stress/strain analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>human mandible</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65M50">Mesh generation and refinement</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/745/ZR-03-23.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/745/ZR-03-23.pdf</file>
  </doc>
  <doc>
    <id>657</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-10-21</completedDate>
    <publishedDate>2001-10-21</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Anisotrope Materialmodellierung für den menschlichen Unterkiefer</title>
    <abstract language="deu">Im Rahmen der biomechanischen Simulation knöcherner Organe ist die Frage nach einer befriedigenden Materialbeschreibung nach wie vor ungelöst. Computertomographische Datensätze liefern eine räumliche Verteilung der (Röntgen-)Dichte und ermöglichen damit eine gute Darstellung der individuellen Geometrie. Weiter können die verschiedenen Materialbestandteile des Knochens, Spongiosa und Kortikalis, voneinander getrennt werden. Aber die richtungsabängige Information der Materialanisotropie ist verloren. In dieser Arbeit wird ein Ansatz für eine anisotrope Materialbeschreibung vorgestellt, die es ermöglicht, den Einfluss der individuellen knöchernen Struktur auf das makroskopische Materialverhalten abzuschätzen.</abstract>
    <identifier type="serial">01-31</identifier>
    <identifier type="opus3-id">658</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6574</identifier>
    <enrichment key="SourceTitle">Erschienen in: Die Methode der Finiten Elemente in der Biomechanik, Biomedizin und angrenzenden Gebieten, Workshop '01, Univ. Ulm, 23./24.7.2001</enrichment>
    <author>Cornelia Kober</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <author>Steffen Prohaska</author>
    <author>Stefan Zachow</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-31</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>menschlicher Unterkiefer</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Simulation mit der Methode der finiten Elemente</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>innerer Aufbau des Knochens</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>anisotrope Elastizität</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="74B10">Linear elasticity with initial stresses</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="persons" number="zachow">Zachow, Stefan</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/657/ZR-01-31.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/657/ZR-01-31.pdf</file>
  </doc>
  <doc>
    <id>640</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-07-03</completedDate>
    <publishedDate>2001-07-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible</title>
    <abstract language="eng">By computed tomography data (CT), the individual geometry of the mandible is quite well reproduced, also the separation between cortical and trabecular bone. Using anatomical knowledge about the architecture and the functional potential of the masticatory muscles, realistic situations were approximated. The solution of the underlying partial differential equations describing linear elastic material behaviour is provided by an adaptive finite element method. Estimations of the discretization error, local grid refinement, and multilevel techniques guarantee the reliability and efficiency of the method.</abstract>
    <identifier type="serial">01-14</identifier>
    <identifier type="opus3-id">641</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6403</identifier>
    <enrichment key="SourceTitle">Appeared in: Proc. of 9th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, 2002, CD-ROM</enrichment>
    <author>Bodo Erdmann</author>
    <author>Cornelia Kober</author>
    <author>Jens Lang</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-14</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mandible</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>sensitivity analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive grid refinement</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="74B10">Linear elasticity with initial stresses</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/640/ZR-01-14.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/640/ZR-01-14.pdf</file>
  </doc>
</export-example>
