The Blood Pressure Distribution

  • Marat AkhmetEmail author
Part of the Atlantis Studies in Mathematics for Engineering and Science book series (ASMES, volume 8)


This section is organized in the following manner. In Subsection 9.1.1, we give a short background on systemic arterial pressure for those readers who come from a mathematical background and are not familiar with this subject. In Subsection 9.1.2, we build a model as a hybrid system with jumps equation and controlled switching moments and find conditions of oscillations in different types: periodic, almost periodic, ε -oscillations with their asymptotic properties and positiveness. In Subsection 9.1.3 we consider for the first time the regular behavior of systemic arterial pressure when the moments of jumps are not fixed, and a new jump occurs when the pressure value reaches a certain positive constant value. Finally, we present our conclusions.


Periodic Solution Chaotic Attractor Respiratory Sinus Arrhythmia Initial Moment Blood Pressure Variability 
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Copyright information

© Atlantis Press 2011

Authors and Affiliations

  1. 1.Department of MathematicsMiddle East Technical University (METU)AnkaraTurkey

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