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
收藏
页码：155 / 161
页数：7
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