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  <doc>
    <id>3925</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
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    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace>Banff, Alberta, Canada</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Quantification of Changes in Spatial Structure of Human Bone Biopsies Using 3D Measures of Complexity</title>
    <parentTitle language="eng">14th IAA Humans in Space Symposium</parentTitle>
    <author>Peter Saparin</author>
    <author>Wolfgang Gowin</author>
    <author>Alexei Zaikin</author>
    <author>Jesper Thomsen</author>
    <author>Steffen Prohaska</author>
    <author>Hans-Christian Hege</author>
    <author>Jürgen Kurths</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3933</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
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    <publisherName/>
    <publisherPlace>Berlin-Adlershof</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
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    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">2D and 3D bone modelling for analysis of changes in the bone architecture and for evaluation of structural measures.</title>
    <parentTitle language="eng">2nd European Congress ’Achievements in Space Medicine into Health Care Practice and Industry’</parentTitle>
    <author>Alexei Zaikin</author>
    <author>Peter Saparin</author>
    <author>Steffen Prohaska</author>
    <author>Jürgen Kurths</author>
    <author>Wolfgang Gowin</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3958</id>
    <completedYear>2002</completedYear>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
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    <pageNumber/>
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    <type>other</type>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Regional Structural Skeletal Discordance Assessed by Measures of Complexity</title>
    <author>Wolfgang Gowin</author>
    <author>Peter Saparin</author>
    <author>Dieter Felsenberg</author>
    <author>Jürgen Kurths</author>
    <author>Alexei Zaikin</author>
    <author>Steffen Prohaska</author>
    <author>Hans-Christian Hege</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3959</id>
    <completedYear>2002</completedYear>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>175</pageFirst>
    <pageLast>176</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>9</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Bone Modeling and Structural Measures of Complexity</title>
    <parentTitle language="eng">Journal of Gravitational Physiology</parentTitle>
    <identifier type="doi">10.1016/j.actaastro.2005.01.007</identifier>
    <author>Alexei Zaikin</author>
    <author>Peter Saparin</author>
    <author>Steffen Prohaska</author>
    <author>Jürgen Kurths</author>
    <author>Wolfgang Gowin</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3877</id>
    <completedYear>2005</completedYear>
    <publishedYear>2005</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>820</pageFirst>
    <pageLast>830</pageLast>
    <pageNumber/>
    <edition/>
    <issue>9-12</issue>
    <volume>56</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
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    <title language="eng">Quantification of spatial structure of human proximal tibial bone biopsies using 3D measures of complexity</title>
    <parentTitle language="eng">Acta Astronautica</parentTitle>
    <identifier type="doi">10.1016/j.actaastro.2005.01.007</identifier>
    <author>Peter Saparin</author>
    <author>Jesper Thomsen</author>
    <author>Steffen Prohaska</author>
    <author>Alexei Zaikin</author>
    <author>Jürgen Kurths</author>
    <author>Hans-Christian Hege</author>
    <author>Wolfgang Gowin</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3837</id>
    <completedYear>2005</completedYear>
    <publishedYear>2005</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>2995</pageFirst>
    <pageLast>3009</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>15(9)</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Modeling resorption in 2D-CT and 3D μ-CT bone images</title>
    <parentTitle language="eng">Int. J. of Bif. and Chaos</parentTitle>
    <author>Alexei Zaikin</author>
    <author>Peter Saparin</author>
    <author>Jürgen Kurths</author>
    <author>Steffen Prohaska</author>
    <author>Wolfgang Gowin</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>5436</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Parameter Estimation of a Tuberculosis Model in a Patchy Environment: Case of Cameroon</title>
    <parentTitle language="eng">BIOMAT - Proceedings of the 12th International Symposium on Mathematical and Computational Biology, Toronto, 2013</parentTitle>
    <identifier type="doi">10.1142/9789814602228_0021</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Dany Pascal Moualeu-Ngangue</author>
    <submitter> Stötzel</submitter>
    <author>Samuel Bowong</author>
    <author>Jürgen Kurths</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compsys">Computational Systems Biology</collection>
    <collection role="projects" number="TBmod">TBmod</collection>
  </doc>
  <doc>
    <id>8166</id>
    <completedYear/>
    <publishedYear>2021</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>3249</pageFirst>
    <pageLast>3271</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>230</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2021-06-18</completedDate>
    <publishedDate>2021-06-18</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Statistical analysis of tipping pathways in agent-based models</title>
    <abstract language="eng">Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals on the microscopic scale can lead to emergent dynamics on the macroscopic scale, for instance a sudden shift of majority opinion or behavior. Here we are introducing a methodology for studying noise-induced tipping between relevant subsets of the agent state space representing characteristic configurations. Due to a large number of interacting individuals, agent-based models are high-dimensional, though usually a lower-dimensional structure of the emerging collective behaviour exists. We therefore apply Diffusion Maps, a non-linear dimension reduction technique, to reveal the intrinsic low-dimensional structure. We characterize the tipping behaviour by means of Transition Path Theory, which helps gaining a statistical understanding of the tipping paths such as their distribution, flux and rate. By systematically studying two agent-based models that exhibit a multitude of tipping pathways and cascading effects, we illustrate the practicability of our approach.</abstract>
    <parentTitle language="eng">Eur. Phys. J. Spec. Top.</parentTitle>
    <identifier type="arxiv">2103.02883</identifier>
    <identifier type="doi">10.1140/epjs/s11734-021-00191-0</identifier>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Luzie Helfmann</author>
    <submitter>Luzie Helfmann</submitter>
    <author>Jobst Heitzig</author>
    <author>Péter Koltai</author>
    <author>Jürgen Kurths</author>
    <author>Christof Schütte</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
    <collection role="projects" number="tipping">Stability and Tipping in Social Systems</collection>
  </doc>
</export-example>
