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

Kurzanzeige
dc.contributor.authorCasper, Sabrina
dc.contributor.authorFuertinger, Doris H.
dc.contributor.authorKotanko, Peter
dc.contributor.authorMechelli, Luca
dc.contributor.authorRohleff, Jan
dc.contributor.authorVolkwein, Stefan
dc.date.accessioned2021-11-08T14:12:49Z
dc.date.available2021-11-08T14:12:49Z
dc.date.issued2021eng
dc.description.abstractThis 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.eng
dc.description.versionpublishedde
dc.identifier.arxiv2106.11733eng
dc.identifier.doi10.1007/978-3-031-11818-0_21
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/55476
dc.language.isoengeng
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dc.subject.ddc510eng
dc.titleData-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapyeng
dc.typeINPROCEEDINGSde
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  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}
}
kops.citation.iso690CASPER, 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_21deu
kops.citation.iso690CASPER, 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, Apr 13, 2021 - Apr 15, 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_21eng
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source.titleProgress in Industrial Mathematics at ECMI 2021 : 21st ECMI Conference, Selected and reviewed papers

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