Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach

DOI10.1007/s00285-019-01429-1zbMath1430.92039OpenAlexW2783121179WikidataQ90824384 ScholiaQ90824384MaRDI QIDQ2007700

Doris H. Fuertinger, Peter Kotanko, S. Rogg, Franz Kappel, Stefan Volkwein

Publication date: 22 November 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-019-01429-1

zbMATH Keywords

quasi-Newton methodsmodel predictive controlPDE-constrained optimizationanemiaerythropoietinoptimal control of hyperbolic equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear systems in control theory (93C10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Model predictive control (93B45)

Related Items (4)

Data-Driven Modeling and Control of Complex Dynamical Systems Arising in Renal Anemia Therapy ⋮ OptiDose: computing the individualized optimal drug dosing regimen using optimal control ⋮ Why are periodic erythrocytic diseases so rare in humans? ⋮ Personalized medicine -- optimized EPO dosing

Uses Software

• KELLEY

Cites Work

• Nonlinear model predictive control. Theory and algorithms.
• Approximation of linear age-structured population models using Legendre polynomials
• A model of erythropoiesis in adults with sufficient iron availability
• Optimization with PDE Constraints
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