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  <doc>
    <id>1779</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2013-02-22</completedDate>
    <publishedDate>2013-02-22</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Computing the Minimal Rebinding Effect Included in a Given Kinetics</title>
    <abstract language="eng">The rebinding effect is a phenomenon which occurs when observing a ligand-receptor binding process.&#13;
On the macro scale this process comprises the Markov property. &#13;
This Makovian view is spoiled when switching to the atomistic scale of a binding process.&#13;
We therefore suggest a model which accurately describes the rebinding effect on the atomistic scale by allowing  ''intermediate'' bound states.&#13;
This allows us to define an indicator for the magnitude of rebinding and to formulate an optimization problem.&#13;
The results form our examples show good agreement with data form laboratory.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-17796</identifier>
    <identifier type="doi">10.1137/13091124X</identifier>
    <enrichment key="SourceTitle">Appeared in: Multiscale Model. Simul., 12  (2014) 318–334</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Marcus Weber</author>
    <submitter>Konstantin Fackeldey</submitter>
    <author>Konstantin Fackeldey</author>
    <series>
      <title>ZIB-Report</title>
      <number>13-12</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Rebinding</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Molecular Kinetics</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Conformation Dynamics</value>
    </subject>
    <collection role="msc" number="65C40">Computational Markov chains</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="EyeTracking">EyeTracking</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1779/ZR13-12.pdf</file>
  </doc>
  <doc>
    <id>4219</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2013-08-28</completedDate>
    <publishedDate>2013-08-28</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A square root approximation of transition rates for a Markov State Model</title>
    <abstract language="eng">Trajectory- or mesh-based methods for analyzing the dynamical behavior of large molecules tend to be impractical due to the curse of dimensionality - their computational cost increases exponentially with the size of the molecule. We propose a method to break the curse by a novel square root approximation of transition rates, Monte Carlo quadrature and a discretization approach based on solving linear programs. With randomly sampled points on the molecular energy landscape and randomly generated discretizations of the molecular configuration space as our initial data, we construct a matrix describing the transition rates between adjacent discretization regions. This transition rate matrix yields a Markov State Model of the molecular dynamics. We use Perron cluster analysis and coarse-graining techniques in order to identify metastable sets in configuration space and approximate the transition rates between the metastable sets. Application of our method to a simple energy landscape on a two-dimensional configuration space provides proof of concept and an example for which we compare the performance of different discretizations. We show that the computational cost of our method grows only polynomially with the size of the molecule. However, finding discretizations of higher-dimensional configuration spaces in which metastable sets can be identified remains a challenge.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="doi">10.1137/120899959</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-42195</identifier>
    <enrichment key="SourceTitle">Appeared in: SIAM J. Matrix Anal. Appl. 34 (2013) pp. 738 - 756</enrichment>
    <author>Han Cheng Lie</author>
    <submitter>Konstantin Fackeldey</submitter>
    <author>Konstantin Fackeldey</author>
    <author>Marcus Weber</author>
    <series>
      <title>ZIB-Report</title>
      <number>13-43</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Markov State Models</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Markov chains</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>meshfree methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>metastability</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Voronoi</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>linear programming</value>
    </subject>
    <collection role="ccs" number="G.">Mathematics of Computing</collection>
    <collection role="pacs" number="30.00.00">ATOMIC AND MOLECULAR PHYSICS</collection>
    <collection role="msc" number="60J10">Markov chains (discrete-time Markov processes on discrete state spaces)</collection>
    <collection role="msc" number="60J22">Computational methods in Markov chains [See also 65C40]</collection>
    <collection role="msc" number="82B80">Numerical methods (Monte Carlo, series resummation, etc.) [See also 65-XX, 81T80]</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/4219/zibtitlepage.pdf</file>
  </doc>
  <doc>
    <id>7314</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>174103</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue>150</issue>
    <volume>17</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Generalized Markov modeling of nonreversible molecular kinetics</title>
    <abstract language="eng">Markov state models are to date the gold standard for modeling molecular kinetics since they enable the identification and analysis of metastable states and related kinetics in a very instructive manner. The state-of-the-art Markov state modeling methods and tools are very well developed for the modeling of reversible processes in closed equilibrium systems. On the contrary, they are largely not well suited to deal with nonreversible or even nonautonomous processes of nonequilibrium systems. Thus, we generalized the common Robust Perron Cluster Cluster Analysis (PCCA+) method to enable straightforward modeling of nonequilibrium systems as well. The resulting Generalized PCCA (G-PCCA) method readily handles equilibrium as well as nonequilibrium data by utilizing real Schur vectors instead of eigenvectors. This is implemented in the G-PCCA algorithm that enables the semiautomatic coarse graining of molecular kinetics. G-PCCA is not limited to the detection of metastable states but also enables the identification and modeling of cyclic processes. This is demonstrated by three typical examples of nonreversible systems.</abstract>
    <parentTitle language="eng">The Journal of Chemical Physics</parentTitle>
    <identifier type="doi">10.1063/1.5064530</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Bernhard Reuter</author>
    <submitter>Konstantin Fackeldey</submitter>
    <author>Konstantin Fackeldey</author>
    <author>Marcus Weber</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
  </doc>
  <doc>
    <id>2815</id>
    <completedYear>2013</completedYear>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>738</pageFirst>
    <pageLast>756</pageLast>
    <pageNumber/>
    <edition/>
    <issue>2</issue>
    <volume>34</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Square Root Approximation of Transition Rates for a Markov State Model</title>
    <parentTitle language="eng">SIAM. J. Matrix Anal. Appl.</parentTitle>
    <identifier type="doi">10.1137/120899959</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-42195</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Han Cheng Lie</author>
    <author>Konstantin Fackeldey</author>
    <author>Marcus Weber</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
  </doc>
  <doc>
    <id>4257</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2013-09-27</completedDate>
    <publishedDate>2013-09-27</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient Conformational Analysis by Partition-of-Unity Coupling</title>
    <abstract language="eng">Obtaining a sufficient sampling of conformational space is a common problem in molecular simulation. We present the implementation of an umbrella-like adaptive sampling approach based on function-based meshless discretization of conformational space that is compatible with state of the art molecular dynamics code and that integrates an eigenvector-based clustering approach for conformational analysis and the computation of inter-conformational transition rates. The approach is applied to three example systems, namely n-pentane, alanine dipeptide, and a small synthetic host-guest system, the latter two including explicitly modeled solvent.</abstract>
    <parentTitle language="eng">Math Chem</parentTitle>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-42570</identifier>
    <author>Alexander Bujotzek</author>
    <submitter>Konstantin Fackeldey</submitter>
    <author>Ole Schütt</author>
    <author>Adam Nielsen</author>
    <author>Konstantin Fackeldey</author>
    <author>Marcus Weber</author>
    <series>
      <title>ZIB-Report</title>
      <number>13-58</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Markov State Models</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Meshfree</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Molecular Simulation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Partition of Unity</value>
    </subject>
    <collection role="ccs" number="G.4">MATHEMATICAL SOFTWARE</collection>
    <collection role="ccs" number="">Markov processes (NEW)</collection>
    <collection role="pacs" number="87.10.-e">General theory and mathematical aspects</collection>
    <collection role="msc" number="60Jxx">Markov processes</collection>
    <collection role="msc" number="92-08">Computational methods</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="MIP_FORMATION">MIP_FORMATION</collection>
    <collection role="projects" number="NAMPAR">NAMPAR</collection>
    <collection role="projects" number="Salsa-Klimm">Salsa-Klimm</collection>
    <collection role="projects" number="SFB1114-A5">SFB1114-A5</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/4257/MolPyPUM.pdf</file>
  </doc>
  <doc>
    <id>2647</id>
    <completedYear/>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>141</pageFirst>
    <pageLast>154</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>89</volume>
    <type>conferenceobject</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A meshless discretization method for Markov state models applied to explicit water peptide folding simulations</title>
    <parentTitle language="eng">Meshfree Methods for Partial Differential Equations VI</parentTitle>
    <enrichment key="Series">Lecture Notes in Computational Science and Engineering</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Konstantin Fackeldey</author>
    <author>Alexander Bujotzek</author>
    <author>Marcus Weber</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
  </doc>
  <doc>
    <id>5550</id>
    <completedYear/>
    <publishedYear>2015</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">G-PCCA: Spectral Clustering for Non-reversible Markov Chains</title>
    <abstract language="eng">Spectral clustering methods are based on solving eigenvalue problems for the identification of clusters, e.g., the identification of metastable subsets of a Markov chain. Usually, real-valued eigenvectors are mandatory for this type of algorithms. The Perron Cluster Analysis (PCCA+) is a well-known spectral clustering method of Markov chains. It is applicable for reversible Markov chains, because reversibility implies a real-valued spectrum. We extend this spectral clustering method also to non-reversible Markov chains and give some illustrative examples. The main idea is to replace the eigenvalue problem by a real-valued Schur decomposition. By this extension, non-reversible Markov chains can be analyzed. Furthermore, the chains need not have a positive stationary distribution. And additionally to metastabilities, dominant cycles and sinks can be identified, too.</abstract>
    <identifier type="urn">urn:nbn:de:0297-zib-55505</identifier>
    <author>Marcus Weber</author>
    <submitter>Konstantin Fackeldey</submitter>
    <author>Konstantin Fackeldey</author>
    <series>
      <title>ZIB-Report</title>
      <number>15-35</number>
    </series>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="EyeTracking">EyeTracking</collection>
    <collection role="projects" number="Salsa-Klimm">Salsa-Klimm</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/5550/ZR-15-35.pdf</file>
  </doc>
  <doc>
    <id>5173</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>318</pageFirst>
    <pageLast>334</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>12</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Computing the Minimal Rebinding Effect Included in a Given Kinetics</title>
    <abstract language="eng">The rebinding effect is a phenomenon which occurs when observing a ligand-receptor binding process. On the macro scale this process comprises the Markov property. This Makovian view is spoiled when switching to the atomistic scale of a binding process. We therefore suggest a model which accurately describes the rebinding effect on the atomistic scale by allowing ''intermediate'' bound states. This allows us to define an indicator for the magnitude of rebinding and to formulate an optimization problem. The results form our examples show good agreement with data form laboratory.</abstract>
    <parentTitle language="eng">Multiscale Model. Simul.</parentTitle>
    <identifier type="doi">10.1137/13091124X</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-17796</enrichment>
    <author>Marcus Weber</author>
    <submitter>Adam Nielsen</submitter>
    <author>Konstantin Fackeldey</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="EyeTracking">EyeTracking</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
  </doc>
  <doc>
    <id>6503</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>309</pageFirst>
    <pageLast>313</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>19</volume>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Local Quantum-Like Updates in Classical Molecular Simulation Realized Within an Uncoupling-Coupling Approach</title>
    <abstract language="eng">In this article a method to improve the precision of the classical molecular dynamics force field by solving an approximation problem with scattered quantum mechanical data is presented. This novel technique is based on two steps. In the first step a partition of unity scheme is used for partitioning the state space by meshfree basis functions. As a consequence the potential can be localized for each basis function. In a second step, for one state in each meshfree basis function, the precise QM-based charges are computed. These local QM-based charges are then used, to optimize the local potential function. The performance of this method is shown for the alanine tripeptide.</abstract>
    <parentTitle language="eng">Progress in Industrial Mathematics at ECMI 2012</parentTitle>
    <identifier type="doi">10.1007/978-3-319-05365-3_42</identifier>
    <enrichment key="Series">Mathematics in Industry</enrichment>
    <submitter>Konstantin Fackeldey</submitter>
    <author>Konstantin Fackeldey</author>
    <author>Alexander Bujotzek</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
  </doc>
  <doc>
    <id>4658</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst>781</pageFirst>
    <pageLast>804</pageLast>
    <pageNumber/>
    <edition/>
    <issue>3</issue>
    <volume>52</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">ZIBgridfree: Efficient Conformational Analysis by Partition-of-Unity Coupling</title>
    <parentTitle language="eng">Journal of Mathematical Chemistry</parentTitle>
    <identifier type="doi">10.1007/s10910-013-0265-1</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-42570</enrichment>
    <author>Alexander Bujotzek</author>
    <submitter>Adam Nielsen</submitter>
    <author>Ole Schütt</author>
    <author>Adam Nielsen</author>
    <author>Konstantin Fackeldey</author>
    <author>Marcus Weber</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="fackeldey">Fackeldey, Konstantin</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="MIP_FORMATION">MIP_FORMATION</collection>
    <collection role="projects" number="NAMPAR">NAMPAR</collection>
    <collection role="projects" number="Salsa-Klimm">Salsa-Klimm</collection>
    <collection role="projects" number="SFB1114-A5">SFB1114-A5</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
  </doc>
</export-example>
