Using chaos control and tracking to suppress a pathological nonchaotic rhythm in a cardiac model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 1, 1996, Pages

  Christini, David J ^a   Collins, James J ^a  

^a Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243981778     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.R49     Document Type: Article

References (24)

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20. The unstable period-1 fixed point corresponding to each H¯ was located by adding Gaussian white noise to each H¯.
21. Although it sometimes took a relatively long time, we were able to initiate chaos control by using additive noise to move the system's state point into the neighborhood of the unstable period-1 fixed point.
22. Adaptive fixed-point estimation may be particularly appropriate for biological systems, which are inherently nonstationary.
23. Although lengthening the H interval would be a simple way to eliminate AV nodal alternans, this approach is impractical because eliciting beats via electrical stimulation can only shorten the H interval.
24. Sun et al. 7 also produced A alternans in rabbit hearts and in the cardiac model Eqs. (1)–(4) by stimulating the respective systems at a constant (A+H)-interval. Using chaos control, we were able to suppress such alternans in the cardiac model by making adaptive perturbations to the (A+H)-interval.