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    <id>8589</id>
    <completedYear/>
    <publishedYear>2021</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1</pageFirst>
    <pageLast>25</pageLast>
    <pageNumber/>
    <edition/>
    <issue>121</issue>
    <volume>83</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
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    <title language="eng">Modelling Oscillatory Patterns in the Bovine Estrous Cycle with Boolean Delay Equations</title>
    <abstract language="eng">Boolean delay equations (BDEs), with their relatively simple and intuitive mode of&#13;
modelling, have been used in many research areas including, for example, climate&#13;
dynamics and earthquake propagation. Their application to biological systems has been&#13;
scarce and limited to the molecular level. Here, we derive and present two BDE models.&#13;
One is directly derived from a previously published ordinary differential equation&#13;
(ODE) model for the bovine estrous cycle, whereas the second model includes a&#13;
modification of a particular biological mechanism. We not only compare the simulation&#13;
results from the BDE models with the trajectories of the ODE model, but also validate&#13;
the BDE models with two additional numerical experiments. One experiment induces&#13;
a switch in the oscillatory pattern upon changes in the model parameters, and the&#13;
other simulates the administration of a hormone that is known to shift the estrous&#13;
cycle in time. The models presented here are the first BDE models for hormonal&#13;
oscillators, and the first BDE models for drug administration. Even though automatic&#13;
parameter estimation still remains challenging, our results support the role of BDEs&#13;
as a framework for the systematic modelling of complex biological oscillators.</abstract>
    <parentTitle language="eng">Bulletin of Mathematical Biology</parentTitle>
    <identifier type="doi">10.1007/s11538-021-00942-z</identifier>
    <enrichment key="AcceptedDate">2021-09-08</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Mascha Berg</author>
    <submitter>Stefanie Winkelmann</submitter>
    <author>Julia Plöntzke</author>
    <author>Heike Siebert</author>
    <author>Susanna Röblitz</author>
    <collection role="persons" number="susanna.roeblitz">Röblitz, Susanna</collection>
    <collection role="projects" number="BovSys">BovSys</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
</export-example>
