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Modeling Pulsatility in the Human Cardiovascular System

de los Reyes V, AurelioKappel, Franz — 2010

Mathematica Balkanica New Series

AMS Subj. Classification: 92C30 In this study we investigated, modified and combined two existing mathematical cardiovascular models, a non-pulsatile global model and a simplified pulsatile left heart model. The first goal of the study was to integrate these models. The main objective is to have a global lumped parameter pulsatile model that predicts the pressures in the systemic and pulmonary circulation, and specifically the pulsatile pressures in the the finger arteries where real-time...

A problem of robust control of a system with time delay

Marina BlizorukovaFranz KappelVyacheslav Maksimov — 2001

International Journal of Applied Mathematics and Computer Science

A problem of guaranteed control is under discussion. This problem consists in the attainment of a given target set by a phase trajectory of a system described by an equation with time delay. An uncontrolled disturbance (along with a control) is assumed to act upon the system. An algorithm for solving the problem in the case when information on a phase trajectory is incomplete (measurements of a 'part' of coordinates) is designed. The algorithm is stable with respect to informational noises and computational...

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