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Qualitative properties and stabilizability of a model for blood thrombin formation
Authors:S Cunha Orfao  K Mottaghy  E Zerz
Institution:a Lehrstuhl II für Mathematik, RWTH Aachen, 52056 Aachen, Germany
b Universitätsklinikum der RWTH Aachen, Pauwelsstr. 30, 52057 Aachen, Germany
c Lehrstuhl A für Mathematik, RWTH Aachen, 52056 Aachen, Germany
d Lehrstuhl D für Mathematik, RWTH Aachen, 52056 Aachen, Germany
Abstract:We perform a qualitative analysis of a differential equation that was originally introduced by Stortelder, Hemker and Hemker to model the formation of thrombin, and discuss issues of controllability and stabilizability. Results include a general proof of convergence to equilibrium, and of local exponential stabilizability.
Keywords:Blood coagulation  Limit sets  Controllability  Observability
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