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

被引：2

作者：

Casper, Sabrina ^{[1
]}

Fuertinger, Doris H. ^{[1
]}

Kotanko, Peter ^{[2
]}

Mechelli, Luca ^{[3
]}

Rohleff, Jan ^{[3
]}

Volkwein, Stefan ^{[3
]}

机构：

[1] Fresenius Med Care, Bad Homburg, Germany

[2] Renal Res Inst New York, New York, NY USA

[3] Univ Konstanz, Dept Math & Stat, Constance, Germany

来源：

PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI | 2022年 / 39卷

关键词：

KOOPMAN OPERATOR;

D O I：

10.1007/978-3-031-11818-0_21

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：155 / 161

页数：7

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