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Title of Journal: J Math Biol

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Abbravation: Journal of Mathematical Biology

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Springer-Verlag

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DOI

10.1007/s00502-009-0625-5

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1432-1416

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Mathematical analysis of Mayer waves

Authors: B Vielle
Publish Date: 2004/12/20
Volume: 50, Issue: 5, Pages: 595-606
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Abstract

The goal of this paper is to explore the lowfrequency oscillations of arterial pressure in humans also called Mayer waves We carefully describe the cardiovascular control system in order to analyse how its different components may be involved in the occurrence of sustained oscillations We carry out an analysis of stability leading to the definition of a stability index which we use to study the influence of each control parameter on the stability of the cardiovascular system We show that all major components of the control system are probably implicated in the appearance of Mayer waves substantiating recent clinical results in human as well as experimental findings in rats

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