TY - JOUR A1 - Gowin, W. A1 - Saparin, Peter A1 - Kurths, Jürgen A1 - Felsenberg, D. T1 - Bone Architecture assessment with Measures of Complexity Y1 - 2001 ER - TY - JOUR A1 - Gowin, W. A1 - Saparin, Peter A1 - Kurths, Jürgen T1 - Bone architecture quantification: Measures of complexity compared to failure lead results Y1 - 2001 ER - TY - JOUR A1 - Anishchenko, Vadim S. A1 - Vadivasova, T. E. A1 - Kopeikin, A. S. A1 - Kurths, Jürgen A1 - Strelkova, G. I. T1 - Effect of noise on the relaxation to an invariant probability measure of nonhyperbolic chaotic attractors Y1 - 2001 ER - TY - JOUR A1 - Wessel, Niels A1 - Voss, Andreas A1 - Kurths, Jürgen A1 - Schirdewan, Alexander A1 - Hnatkova, Katarina A1 - Malik, Marek T1 - Evaluation of renormalised entropy for risk stratification using heart rate variability data N2 - Standard time and frequency parameters of heart rate variability (HRV) describe only linear and periodic behaviour, whereas more complex relationships cannot be recognised. A method that may be capable of assessing more complex properties is the non-linear measure of 'renormalised entropy.' A new concept of the method, RE(AR), has been developed, based on a non-linear renormalisation of autoregressive spectral distributions. To test the hypothesis that renormalised entropy may improve the result of high-risk stratification after myocardial infarction, it is applied to a clinical pilot study (41 subjects) and to prospective data of the St George's Hospital post- infarction database (572 patients). The study shows that the new RE(AR) method is more reproducible and more stable in time than a previously introduced method (p<0.001). Moreover, the results of the study confirm the hypothesis that on average, the survivors have negative values of RE(AR) (-0.11+/-0.18), whereas the non-survivors have positive values (0.03+/-0.22, p<0.01). Further, the study shows that the combination of an HRV triangular index and RE(AR) leads to a better prediction of sudden arrhythmic death than standard measurements of HRV. In summary, the new RE(AR) method is an independent measure in HRV analysis that may be suitable for risk stratification in patients after myocardial infarction. Y1 - 2000 ER - TY - JOUR A1 - Zaikin, Alexei A. A1 - Kurths, Jürgen A1 - Schimansky-Geier, Lutz T1 - Doubly stochastic resonance N2 - We report the effect of doubly stochastic resonance which appears in nonlinear extended systems if the influence of noise is twofold: A multiplicative noise induces bimodality of the mean field of the coupled network and an independent additive noise governs the dynamic behavior in response to small periodic driving. For optimally selected values of the additive noise intensity stochastic resonance is observed, which is manifested by a maximal coherence between the dynamics of the mean field and the periodic input. Numerical simulations of the signal-to-noise ratio and theoretical results from an effective two state model are in good quantitative agreement. Y1 - 2000 UR - http://link.aps.org/abstract/PRL/v85/p227 ER - TY - JOUR A1 - Zaikin, Alexei A. A1 - Kurths, Jürgen T1 - Additive noise and noise-induced nonequilibrium phase transitions Y1 - 2000 SN - 1-563-96826-6 ER - TY - JOUR A1 - Wessel, Niels A1 - Ziehmann, Christine A1 - Kurths, Jürgen A1 - Meyerfeldt, Udo A1 - Schirdewan, Alexander A1 - Voss, Andreas T1 - Short-term forecasting of life-threatening cardiac arrhythmias based on symbolic dynamics and finite-time growth rates N2 - Ventricular tachycardia or fibrillation (VT-VF) as fatal cardiac arrhythmias are the main factors triggering sudden cardiac death. The objective of this study is to find early signs of sustained VT-VF in patients with an implanted cardioverter-defibrillator (ICD). These devices are able to safeguard patients by returning their hearts to a normal rhythm via strong defibrillatory shocks; additionally, they store the 1000 beat-to-beat intervals immediately before the onset of a life-threatening arrhythmia. We study these 1000 beat-to-beat intervals of 17 chronic heart failure ICD patients before the onset of a life-threatening arrhythmia and at a control time, i.e., without a VT-VF event. To characterize these rather short data sets, we calculate heart rate variability parameters from the time and frequency domain, from symbolic dynamics as well as the finite-time growth rates. We find that neither the time nor the frequency domain parameters show significant differences between the VT-VF and the control time series. However, two parameters from symbolic dynamics as well as the finite-time growth rates discriminate significantly both groups. These findings could be of importance in algorithms for next generation ICD's to improve the diagnostics and therapy of VT-VF. Y1 - 2000 ER - TY - JOUR A1 - Landa, Polina S. A1 - Zaikin, Alexei A. A1 - Ushakov, V. G. A1 - Kurths, Jürgen T1 - Influence of additive noise on transitions in nonlinear systems N2 - The effect of additive noise on transitions in nonlinear systems far from equilibrium is studied. It is shown that additive noise in itself can induce a hidden phase transition, which is similar to the transition induced by multiplicative noise in a nonlinear oscillator [P. Landa and A. Zaikin, Phys. Rev. E 54, 3535 (1996)]. Investigation of different nonlinear models that demonstrate phase transitions induced by multiplicative noise shows that the influence of additive noise upon such phase transitions can be crucial: additive noise can either blur such a transition or stabilize noise-induced oscillations. Y1 - 2000 UR - http://link.aps.org/abstract/PRE/v61/p4809 ER - TY - JOUR A1 - Landa, Polina S. A1 - Zaikin, Alexei A A1 - Kurths, Jürgen T1 - On noise-induced transitions in nonlinear oscillators Y1 - 2000 SN - 3-540- 41074-0 ER - TY - JOUR A1 - Wessel, Niels A1 - Schumann, Agnes A1 - Wessel, Niels A1 - Schumann, Agnes A1 - Schirdewan, Alexander A1 - Voss, Andreas A1 - Kurths, Jürgen T1 - Entropy measures in heart rate variability data Y1 - 2000 ER -