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Selected Publications

Keyword(s): cardiovascular modeling

[1]
F. Kappel and R. O. Peer. Ein mathematisches Modell für grundlegende Regelungsmechnismen im Herz-Kreislaufsystem. Biomedizinische Technik, 37, Ergänzungsband 1:58–60, 1992.

[2]
F. Kappel and R. O. Peer. A mathematical model for fundamental regulation processes in the cardiovascular system. J. Math. Biology, 31:611–631, 1993.
 
Based on the four compartment model by Grodins we develop a model for the response of the cardiovascular system to a short term submaximal workload. Basic mechanisms included in the model are Starling's law of the heart, the Bowditch effect and autoregulation in the peripheral regions. A fundamental assumption is that the action of the feedback control is represented by the baroreceptor loop and minimizes a quadratic cost functional. Simulation results show that the model provides a satisfactory description of data obtained in bicycle ergometer tests.

[3]
F. Kappel and R. O. Peer. Implementation of a cardiovascular model and algorithms for parameter identification. Bericht 26, Spezialforschungsbereich F003 "Optimierung und Kontrolle", 1995.

[4]
F. Kappel, S. Lafer, and R. O. Peer. A model for the cardiovascular system under an ergometric workload. Surveys on Mathematics for Industry, 7:239–250, 1997.