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Titolo:
GAIN-INDUCED OSCILLATIONS IN BLOOD-PRESSURE
Autore:
ABBIWJACKSON RM; LANGFORD WF;
Indirizzi:
UNIV GUELPH,DEPT MATH & STAT GUELPH ON N1G 2W1 CANADA UNIV MARYLAND,DEPT MATH COLLEGE PK MD 20742 FIELDS INST RES MATH SCI TORONTO ON M5T 3J1 CANADA
Titolo Testata:
Journal of mathematical biology
fascicolo: 3, volume: 37, anno: 1998,
pagine: 203 - 234
SICI:
0303-6812(1998)37:3<203:GOIB>2.0.ZU;2-E
Fonte:
ISI
Lingua:
ENG
Soggetto:
COMPLEXITY;
Keywords:
MAYER WAVES; HOPF BIFURCATION; CARDIOVASCULAR INSTABILITY; BAROREFLEX CONTROL; GAIN-INDUCED OSCILLATIONS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
24
Recensione:
Indirizzi per estratti:
Citazione:
R.M. Abbiwjackson e W.F. Langford, "GAIN-INDUCED OSCILLATIONS IN BLOOD-PRESSURE", Journal of mathematical biology, 37(3), 1998, pp. 203-234

Abstract

''Mayer waves'' are long-period (6 to 12 seconds) oscillations in arterial blood pressure, which have been observed and studied for more than 100 years in the cardiovascular system of humans and other mammals. A mathematical model of the human cardiovascular system is presented,incorporating parameters relevant to the onset of Mayer waves. The model is analyzed using methods of Liapunov stability and Hopf bifurcation theory. The analysis shows that increase in the gain of the baroreflex feedback loop controlling venous volume may lead to the onset of oscillations, while changes in the other parameters considered do not affect stability of the equilibrium state. The results agree with clinical observations of Mayer waves in human subjects, both in the period of the oscillations and in the observed age-dependence of Mayer waves. This leads to a proposed explanation of their occurrence, namely thatMayer waves are a gain-induced oscillation.

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Documento generato il 02/07/20 alle ore 22:13:54