TY  - JOUR
A1  - Kralemann, Bjoern
A1  - Fruehwirth, Matthias
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
A1  - Kenner, Thomas
A1  - Schaefer, Jochen
A1  - Moser, Maximilian
T1  - In vivo cardiac phase response curve elucidates human respiratory heart rate variability
JF  - Nature Communications
N2  - Recovering interaction of endogenous rhythms from observations is challenging, especially if a mathematical model explaining the behaviour of the system is unknown. The decisive information for successful reconstruction of the dynamics is the sensitivity of an oscillator to external influences, which is quantified by its phase response curve. Here we present a technique that allows the extraction of the phase response curve from a non-invasive observation of a system consisting of two interacting oscillators-in this case heartbeat and respiration-in its natural environment and under free-running conditions. We use this method to obtain the phase-coupling functions describing cardiorespiratory interactions and the phase response curve of 17 healthy humans. We show for the first time the phase at which the cardiac beat is susceptible to respiratory drive and extract the respiratory-related component of heart rate variability. This non-invasive method for the determination of phase response curves of coupled oscillators may find application in many scientific disciplines.
Y1  - 2013
U6  - https://doi.org/10.1038/ncomms3418
SN  - 2041-1723
VL  - 4
PB  - Nature Publ. Group
CY  - London
ER  - 
TY  - JOUR
A1  - Kralemann, Bjoern
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
T1  - Reconstructing effective phase connectivity of oscillator networks from observations
JF  - New journal of physics : the open-access journal for physics
N2  - We present a novel approach for recovery of the directional connectivity of a small oscillator network by means of the phase dynamics reconstruction from multivariate time series data. The main idea is to use a triplet analysis instead of the traditional pairwise one. Our technique reveals an effective phase connectivity which is generally not equivalent to a structural one. We demonstrate that by comparing the coupling functions from all possible triplets of oscillators, we are able to achieve in the reconstruction a good separation between existing and non-existing connections, and thus reliably reproduce the network structure.
KW  - network reconstruction
KW  - coupled oscillators
KW  - connectivity
KW  - data analysis
Y1  - 2014
U6  - https://doi.org/10.1088/1367-2630/16/8/085013
SN  - 1367-2630
VL  - 16
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Kralemann, Bjoern
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
T1  - Reconstructing connectivity of oscillator networks from multimodal observations
JF  - Biomedizinische Technik = Biomedical engineering
Y1  - 2014
U6  - https://doi.org/10.1515/bmt-2014-4089
SN  - 0013-5585
SN  - 1862-278X
VL  - 59
SP  - S220
EP  - S220
PB  - De Gruyter
CY  - Berlin
ER  -