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OF CARDIOVASCULAR DATA |
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OF CARDIOVASCULAR DATA |
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| |LEVEL 0| |HOMEPAGE| |
Aperiodic behaviour of a given variable of a bounded deterministic system which may appear as random behaviour.
The chaotic system is sensitive to initial conditions, and so, is unpredictable over a large time scale since the initial conditions are rarely known with infinite precision.
Sensitivity to initial conditions. Small changes in initial conditions lead to totally different behaviour patterns after a certain time (here 14 cycles). This sensitivity to initial conditions may be quantified by means of the largest Lyapunov exponent.
References:
Bassingthwaighte
JB. (1993) Chaos in cardiac signals. Adv Exp Med Biol.
Review.
Elbert
T et al. (1994) Chaos and physiology: deterministic chaos in excitable
cell assemblies. Physiol Rev. Review
Lippman
N et al (1995) Nonlinear forecasting and the dynamics of cardiac rhythm.
J Electrocardiol. 1995 Review.
Wagner
CD et al. (1996) Chaos in blood pressure control. Cardiovasc
Res. Review
Griffith
TM. (1996) Temporal chaos in the microcirculation. Cardiovasc Res.
Review
Lipsitz
LA et al (1992) Loss of 'complexity' and aging. Potential applications
of fractals and chaos theory to senescence. JAMA
Goldberger
AL. (1996) Non-linear dynamics for clinicians: chaos theory, fractals,
and complexity at the bedside. Lancet. No abstract
available.
Poon
CS, Merrill CK (1997) Decrease of cardiac chaos in congestive heart
failure.Nature
Yambe
T et al (1998) Origin of chaos in the circulation: open loop analysis
with an artificial heart. ASAIO J.
Poon
CS. (1999) Cardiac chaos: implications for congestive heart failure.Congest
Heart Fail
Sarayev
L et al. (2002) Mycardial ischemia and determined chaos in integral homeostatic
regulation.J Clin Monit Comput
Links:
For Source Code, Tutorials and Examples, see
TISEAN
Nonlinear Time Series Analysis by R.Hegger, H.Kantz,T.Schreiber
The Chaos
Hypertext book by Glenn Elert