Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy

Casper, Sabrina; Fuertinger, Doris H.; Kotanko, Peter; Mechelli, Luca; Rohleff, Jan; Volkwein, Stefan

Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2021

Autor:innen

Casper, Sabrina

Fuertinger, Doris H.

Kotanko, Peter

Mechelli, Luca

Rohleff, Jan

Volkwein, Stefan

Publikationstyp

Beitrag zu einem Konferenzband

Publikationsstatus

Published

Erschienen in

Progress in Industrial Mathematics at ECMI 2021 : 21st ECMI Conference, Selected and reviewed papers / Ehrhardt, Matthias; Günther, Michael (Hrsg.). - Cham : Springer, 2021. - (Mathematics in Industry ; 39). - S. 155-161. - ISBN 978-3-031-11820-3

Zusammenfassung

This project is based on a mathematical model of erythropoiesis for anemia (Fuertinger, A model of erythropoiesis. PhD thesis, Karl-Franzens University Graz, 2012; Fuertinger et al., J Math Biol 66(6):1209–1240, 2013), which consists of five hyperbolic population equations describing the production of red blood cells under treatment with epoetin-alfa (EPO). Extended dynamic mode decomposition (EDMD) is utilized to approximate the non-linear dynamical systems by linear ones. This allows for efficient and reliable strategies based on a combination of EDMD and model predictive control (MPC), which produces results comparable with the one obtained in Rogg et al. (J Math Biol 79:2281–2313, 2019) for the original model.

Fachgebiet (DDC)

510 Mathematik

Konferenz

21st ECMI Conference, 13. Apr. 2021 - 15. Apr. 2021, Wuppertal

Zitieren

ISO 690

CASPER, Sabrina, Doris H. FUERTINGER, Peter KOTANKO, Luca MECHELLI, Jan ROHLEFF, Stefan VOLKWEIN, 2021. Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy. 21st ECMI Conference. Wuppertal, 13. Apr. 2021 - 15. Apr. 2021. In: EHRHARDT, Matthias, ed., Michael GÜNTHER, ed.. Progress in Industrial Mathematics at ECMI 2021 : 21st ECMI Conference, Selected and reviewed papers. Cham:Springer, pp. 155-161. ISBN 978-3-031-11820-3. Available under: doi: 10.1007/978-3-031-11818-0_21

BibTex

@inproceedings{Casper2021DataD-55476,
  year={2021},
  doi={10.1007/978-3-031-11818-0_21},
  title={Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy},
  number={39},
  isbn={978-3-031-11820-3},
  publisher={Springer},
  address={Cham},
  series={Mathematics in Industry},
  booktitle={Progress in Industrial Mathematics at ECMI 2021 : 21st ECMI Conference, Selected and reviewed papers},
  pages={155--161},
  editor={Ehrhardt, Matthias and Günther, Michael},
  author={Casper, Sabrina and Fuertinger, Doris H. and Kotanko, Peter and Mechelli, Luca and Rohleff, Jan and Volkwein, Stefan}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/55476">
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/55476"/>
    <dc:creator>Mechelli, Luca</dc:creator>
    <dc:contributor>Rohleff, Jan</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Rohleff, Jan</dc:creator>
    <dc:contributor>Kotanko, Peter</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-08T14:12:49Z</dc:date>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-08T14:12:49Z</dcterms:available>
    <dc:contributor>Casper, Sabrina</dc:contributor>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dc:creator>Fuertinger, Doris H.</dc:creator>
    <dcterms:issued>2021</dcterms:issued>
    <dcterms:title>Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy</dcterms:title>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:language>eng</dc:language>
    <dcterms:abstract xml:lang="eng">This project is based on a mathematical model of erythropoiesis for anemia (Fuertinger, A model of erythropoiesis. PhD thesis, Karl-Franzens University Graz, 2012; Fuertinger et al., J Math Biol 66(6):1209–1240, 2013), which consists of five hyperbolic population equations describing the production of red blood cells under treatment with epoetin-alfa (EPO). Extended dynamic mode decomposition (EDMD) is utilized to approximate the non-linear dynamical systems by linear ones. This allows for efficient and reliable strategies based on a combination of EDMD and model predictive control (MPC), which produces results comparable with the one obtained in Rogg et al. (J Math Biol 79:2281–2313, 2019) for the original model.</dcterms:abstract>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:contributor>Mechelli, Luca</dc:contributor>
    <dc:creator>Kotanko, Peter</dc:creator>
    <dc:creator>Casper, Sabrina</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Fuertinger, Doris H.</dc:contributor>
    <dc:rights>terms-of-use</dc:rights>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja