New systems-analytical approaches to nonlinear coordination

IEEE Engineering in Medicine and Biology Magazine

Volumn 17, Issue 6, 1998, Pages 58-61

  Hoyer, Dirk ^a   Kaplan, Daniel ^b,f   Palus, Milan ^c,f,g,h,i,j   Pompe, Bernd ^d   Seidel, Henrik ^e,k,l  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b MACALESTER COLLEGE   (United States)

^c INSTITUTE OF COMPUTER SCIENCE   (Czech Republic)

^d UNIVERSITY OF GREIFSWALD   (Germany)

^e HUMBOLDT UNIVERSITY   (Germany)

^f CHARLES UNIVERSITY   (Czech Republic)

^g INSTITUTE OF MATHEMATICS   (Czech Republic)

^h UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

ⁱ SANTA FE INSTITUTE   (United States)

^j QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^k TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^l MAX PLANCK INSTITUTE FOR MOLECULAR GENETICS   (Germany)

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Author keywords

[No Author keywords available]

Indexed keywords

CARDIOLOGY; CARDIOVASCULAR SYSTEM; COMPUTER SIMULATION; DATA REDUCTION; DYNAMICS; MATHEMATICAL MODELS; PHYSIOLOGICAL MODELS; RANDOM PROCESSES; RESPIRATORY MECHANICS; SPECTRUM ANALYSIS; SYNCHRONIZATION;

CARDIORESPIRATORY INTERACTIONS; CARDIOVASCULAR INTERACTIONS; PHASE-SPACE RECONSTRUCTION;

BIOMEDICAL ENGINEERING;

CARDIOVASCULAR SYSTEM; COORDINATION; MATHEMATICAL MODEL; NONLINEAR SYSTEM; POWER SPECTRUM; RESPIRATORY SYSTEM; REVIEW; SIMULATION; SYSTEM ANALYSIS;

ALGORITHMS; BAROREFLEX; BLOOD PRESSURE; BRAIN STEM; HEART; HEART RATE; HUMANS; LINEAR MODELS; LUNG; MODELS, BIOLOGICAL; MODELS, CARDIOVASCULAR; MULTIVARIATE ANALYSIS; NONLINEAR DYNAMICS; PRESSORECEPTORS; REGRESSION ANALYSIS; RESPIRATION; SIGNAL PROCESSING, COMPUTER-ASSISTED; STOCHASTIC PROCESSES;

EID: 0032212331     PISSN: 07395175     EISSN: None     Source Type: Journal    
DOI: 10.1109/51.731322     Document Type: Review

References (19)

1. Hoyer D, Pompe P, Herzel H, Zwiener U: Nonlinear coordination of cardiovascular autonomic control, this issue, pp. 17-21.
2. Seidel H, Herzel, H: Modelling heart rate variability due to respiration and baroreflex. in: Mosekilde E, Mouritson OG: Modelling the dynamics of biological oscillators, pp. 205-229, Springer Verlag Berlin, 1995.
3. Seidel H, Herzel, H: Bifurcations in a nonlinear model of the baroreceptor cardiac reflex. Physica D, 115: 145-160, 1998.
4. Seidel H, Herzel, H: Investigating the dynamics of atrioventricular delay, this issue, pp. 22-25.
5. Kaplan D: Direct test for determinism in a time series. Phys.Rev.Len ,68: 427-430, 1992.
6. Hoyer D, Kaplan DT, Schaaff F, Eiselt M: Determinism in bivariate cardiorespiratory phase-space sets, this issue, pp. 26-31.
7. Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD: Testing for nonlinearity in time series: the method of surrogate data. Physica D, 58:77-94, 1992.
8. Schreiber T, Schmitz A: Improved surrogate data for nonlinearity test. Phys.Rev.Lett., 77:635-368, 1996.
9. Schreiber T: Detecting and analysing nonstationarity in a time series using nonlinear cross prediction. Phys.Rev.Lett., 78: 843-846, 1997.
10. Stam CJ, Pijn JPM, Pritchard WS: Reliable detection of nonlinearity in experimental time series with strong periodic components. Physica D, 112:261-380, 1998.
11. Palus M, Hoyer, D: Detecting nonlinearity and phase synchronization with surrogate data, this issue, pp. 40-45.
12. Seidel H, Herzel, H: Analysing entrainments of heartbeats and respiration with surrogates, this issue, pp. 54-57.
13. Pompe P, Blidh P, Hoyer D, Eiselt M: Using mutual information to measure coupling in the cardiorespiratory system, this issue, pp. 32-39.
14. Rosenblum MG, Kurths J, Pikovsky A, Schäfer K, Tass P, Abel HH: Synchronization in noisy systems and the cardiorespiratory interaction, this issue, pp. 48-53.
15. Hoyer D, Hader O, Zwiener U: Relative and intermittent cardiorespiratory coordination. IEEE Engineering in Medicine and Biology, 16: 97-104, 1997.
16. Rosenblum MG, Pikovsky A, Kurths J: Phase synchronization in driven and coupled chaotic oscillators. IEEE Transactions on Circuits and Systems-I, 44: 874-4881, 1997.
17. Schäfer K, Rosenblum MG, Kurths J, Abel HH: Heartbeat synchronized with ventilation. Nature, 392: 239-240, 1998.
18. Gebber GL, Zhong S, Zhou S-Y, Barman SM: Nonlinear dynamics of the frequency locking of baroreceptor and sympathetic rhythms. Am.J .Physiol., 42: R1932-R1945, 1997.
19. Hoyer D, Liebovitch LS, Schmidt K, Luethke B, Zwiener U: Practical problems of determining the dimension in heart rate data. Medical & Biological Engineering & Computing, 35: 27-32, 1997.