TY  - JOUR
A1  - Rosenblum, Michael
A1  - Frühwirth, Martha
A1  - Moser, Maximilian
A1  - Pikovskij, Arkadij
T1  - Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia
T2  - Philosophical Transactions of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences
N2  - We develop a technique for the multivariate data analysis of perturbed self-sustained oscillators. The approach is based on the reconstruction of the phase dynamics model from observations and on a subsequent exploration of this model. For the system, driven by several inputs, we suggest a dynamical disentanglement procedure, allowing us to reconstruct the variability of the system's output that is due to a particular observed input, or, alternatively, to reconstruct the variability which is caused by all the inputs except for the observed one. We focus on the application of the method to the vagal component of the heart rate variability caused by a respiratory influence. We develop an algorithm that extracts purely respiratory-related variability, using a respiratory trace and times of R-peaks in the electrocardiogram. The algorithm can be applied to other systems where the observed bivariate data can be represented as a point process and a slow continuous signal, e.g. for the analysis of neuronal spiking. This article is part of the theme issue 'Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences'.
KW  - phase dynamics
KW  - point process
KW  - vagal sympathetic activity
KW  - autonomic nervous system
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/47621
SN  - 1364-503X
SN  - 1471-2962
VL  - 377
IS  - 2160
PB  - Royal Society
CY  - London
ER  -