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Qualitative properties and stabilizability of a model for blood thrombin formation. (English) Zbl 1152.92010

Summary: We perform a qualitative analysis of a differential equation that was originally introduced by W. J. H. Stortelder, P. W. Hemker and H. C. Hemker [Mathematical modelling in blood coagulation. CWI Rep. MAS-R9720 (1997)] to model the formation of thrombin, and discuss issues of controllability and stabilizability. The results include a general proof of convergence to equilibrium, and of local exponential stabilizability.

MSC:

92C50 Medical applications (general)
34C60 Qualitative investigation and simulation of ordinary differential equation models
34H05 Control problems involving ordinary differential equations
92C30 Physiology (general)
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