Publikation: Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy
Dateien
Datum
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Publikationsstatus
Erschienen in
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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
Schlagwörter
Konferenz
Rezension
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, 2021, pp. 155-161. Mathematics in Industry. 39. ISBN 978-3-031-11820-3. Available under: doi: 10.1007/978-3-031-11818-0_21BibTex
@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>