Publications

Learning from the past: reservoir computing using delayed variables. Frontiers in Applied Mathematics and Statistics 10: 1221051 (2024).

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Efficient termination of cardiac arrhythmias using optogenetic resonant feedback pacing. Chaos : an interdisciplinary journal of nonlinear science 34: 031103 (2024).

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Detecting pulsatile motion of blood vessels in Real-Time MRI. Proceedings of the Workshop Biosignal 2024 (2024).

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Mapping Hierarchical File Structures to Semantic Data Models for Efficient Data Integration into Research Data Management Systems. Data 9: 24 (2024).

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Influence of conduction heterogeneities on transient spatiotemporal chaos in cardiac excitable media. Physical Review E 110: 044207 (2024).

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Deployment of an HPC-Accelerated Research Data Management System: Exemplary Workflow in HeartAndBrain Study. Proceedings of the Workshop Biosignal 2024 (2024).

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Chaos control in cardiac dynamics: terminating chaotic states with local minima pacing. Frontiers in Network Physiology 4: 1401661 (2024).

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Winners of 2022 Edward Norton Lorenz Early Career Awards. Chaos: An Interdisciplinary Journal of Nonlinear Science 33: 110402 (2023).

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The role of pulse timing in cardiac defibrillation. Frontiers in Network Physiology 2: 1007585 (2023).

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Reconstructing in-depth activity for chaotic 3D spatiotemporal excitable media models based on surface data. Chaos: An Interdisciplinary Journal of Nonlinear Science 33: 013134 (2023).

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Ordinal pattern-based complexity analysis of high-dimensional chaotic time series. Chaos : an interdisciplinary journal of nonlinear science 33: 053105 (2023).

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Optimising low-energy defibrillation in 2D cardiac tissue with a genetic algorithm. Frontiers in Network Physiology 3: 1172454 (2023).

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In silico optical modulation of spiral wave trajectories in cardiac tissue. Pflügers Archiv: European Journal of Physiology 475: 1453–1461 (2023).

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Estimating fractal dimensions: A comparative review and open source implementations. Chaos: An Interdisciplinary Journal of Nonlinear Science 33: 102101 (2023).

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Attractor selection in nonlinear oscillators by temporary dual-frequency driving. Nonlinear Dynamics 111: 19209–19224 (2023).

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Optical mapping of contracting hearts. The Journal of Physiology 601: 1353–1370 (2023).

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Dissolution of spiral wave′s core using cardiac optogenetics. PLoS Computational Biology 19: e1011660 (2023).

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Taming cardiac arrhythmias: Terminating spiral wave chaos by adaptive deceleration pacing. Chaos: An Interdisciplinary Journal of Nonlinear Science 32: 121105 (2022).

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Synchronization of a genetic oscillator with the cell division cycle. New Journal of Physics 24: 033050 (2022).

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Spatiotemporal Organization of Electromechanical Phase Singularities during High-Frequency Cardiac Arrhythmias. Physical Review X 12: 021052 (2022).

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Optogenetic manipulation of cardiac electrical dynamics using sub-threshold illumination: dissecting the role of cardiac alternans in terminating rapid rhythms. Basic Research in Cardiology 117: 25 (2022).

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Nonlinear Dynamics - A Concise Introduction Interlaced with Code. (2022).

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Non-monotonous dose response function of the termination of spiral wave chaos. Scientific Reports 12: 12043 (2022).

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Control of escapes in two-degree-of-freedom open Hamiltonian systems. Chaos 32: 063118 (2022).

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A Mathematical Model for Electrical Activity in Pig Atrial Tissue. Frontiers in Physiology 13: 812535 (2022).

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Patterned Illumination Techniques in Optogenetics: An Insight Into Decelerating Murine Hearts. Frontiers in Physiology 12 (2022).

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Some elements for a history of the dynamical systems theory. Chaos 31: 053110 (2021).

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Reconstructing Complex Cardiac Excitation Waves From Incomplete Data Using Echo State Networks and Convolutional Autoencoders. Frontiers in Applied Mathematics and Statistics 6: 616584 (2021).

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Heterogene wissenschaftliche Dateistrukturen FAIR gestalten: Eine flexible, robuste Open-Source-Lösung mit dem CaosDB Crawler. (2021).

Extracting Robust Biomarkers From Multichannel EEG Time Series Using Nonlinear Dimensionality Reduction Applied to Ordinal Pattern Statistics and Spectral Quantities. Frontiers in Physiology 11: 614565 (2021).

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Drift and termination of spiral waves in optogenetically modified cardiac tissue at sub-threshold illumination. eLife 10: e59954 (2021).

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Detecting spiral wave tips using deep learning. Scientific Reports 11: 19767 (2021).

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Advanced Cardiac Rhythm Management by Applying Optogenetic Multi-Site Photostimulation in Murine Hearts. Journal of Visualized Experiments 174: e62335 (2021).

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Predicting the duration of chaotic transients in excitable media. Journal of Physics: Complexity 2: 035016 (2021).

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Pulsed low-energy stimulation initiates electric turbulence in cardiac tissue. PLOS Computational Biology 17: e1009476 (2021).

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Optogenetic Control of Cardiac Arrhythmias. (2021).

Numerical Simulation of Cardiac Optogenetics. (2021).

Electromechanic Imaging of the Heart. Zipes and Jalife’s Cardiac Electrophysiology: From Cell to Bedside, E-Book (2021).

Terminating transient chaos in spatially extended systems. Chaos 30: 051108 (2020).

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Susceptibility of transient chimera states. Physical Review E 102: 032219 (2020).

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Predicting spatio-temporal time series using dimension reduced local states. Journal of Nonlinear Science 30: 713–735 (2020).

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High-performance GPU computations in nonlinear dynamics: an efficient tool for new discoveries. Meccanica 55: 2493–2504 (2020).

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High-Resolution Optical Measurement of Cardiac Restitution, Contraction and Fibrillation Dynamics in Beating versus Blebbistatin-uncoupled Isolated Rabbit Hearts. Frontiers in Physiology 11: 464 (2020).

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Guidelines for a Standardized Filesystem Layout for Scientific Data. Data 5: 43 (2020).

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GPU accelerated study of a dual-frequency driven single bubble in a 6-dimensional parameter space: The active cavitation threshold. Ultrasonics Sonochemistry 67: 105067 (2020).

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Feedforward attractor targeting for non-linear oscillators using a dual-frequency driving technique. Chaos: An Interdisciplinary Journal of Nonlinear Science 30: 073123 (2020).

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Excitable dynamics in neural and cardiac systems. Communications in Nonlinear Science and Numerical Simulation 86: 105275 (2020).

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Multimodal high-resolution mapping of contracting intact Langendorff-perfused hearts. (2020).

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Modelling Intracellular Calcium. (2020).

Electromechanical Mapping. (2020).

Multiscale modeling of dyadic structure-function relation in ventricular cardiac myocytes. Biophysical Journal 117: 2409–2419 (2019).

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Termination of scroll waves by surface impacts. Physical Review Letters 123: 068102 (2019).

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Synchronization of viscoelastically coupled excitable oscillators. Physical Review E 100: 032214 (2019).

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Efficient phenotypic sex classification of zebrafish using machine learning methods. Ecology and Evolution 9: 13332–13343 (2019).

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Convolutional autoencoder and conditional random fields hybrid for predicting spatial-temporal chaos. Chaos 29: 123116 (2019).

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CaosDB—Research Data Management for complex, changing, and automated research workflows. Data 42: 83 (2019).

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Gradient based hyperparameter optimization in Echo State Networks. Neural Networks 115: 23–29 (2019).

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Agonistic and antagonistic roles of fibroblasts and cardiomyocytes on viscoelastic stiffening of engineered human myocardium. Progress in Biophysics and Molecular Biology 144: 51–60 (2019).

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Unsupervised feature extraction of anterior chamber OCT images for ordering and classification. Scientific Reports 9: 1157 (2019).

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Tissue-organization of oscillating cardiomyocytes via matrix-mediated biomechanical signals. (2019).

Synchronization-based reconstruction of electromechanical wave dynamics in elastic excitable media. Chaos 29: 093117 (2019).

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Spontaneous termination of chaotic spiral wave dynamics in human cardiac ion channel models. PLoS One 14: e0221401 (2019).

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Spiral wave unpinning facilitated by wave emitting sites in cardiac monolayers. Proceedings - Royal Society. Mathematical, physical and engineering sciences 475: 20190420 (2019).

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Simultaneous unpinning of multiple vortices in two-dimensional excitable media. Physical Review E 99: 042216 (2019).

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On Control of the Excitable Dynamics in the Heart. (2019).

Landslide shape, ellipticity and length-to-width ratios. Earth Surface Processes and Landforms 43: 3164–3189 (2018).

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The cognitive underpinnings of option generation in everyday life decision-making: A latent variable analysis. Cognitive Science 42: 2562–2591 (2018).

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Non-feedback technique to directly control multistability in nonlinear oscillators by dual-frequency driving. Nonlinear Dynamics 94: 273–293 (2018).

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Data-Driven Modeling and Prediction of Complex Spatio-Temporal Dynamics in Excitable Media. Frontiers in Applied Mathematics and Statistics 4: 60 (2018).

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Sarcoplasmic reticulum calcium leak contributes to arrhythmia but not to heart failure progression. Science Translational Medicine 10: eaan0724 (2018).

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Scaling behavior of the terminal transient phase. Physical Review E 98: 022215 (2018).

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Low-energy control of spatiotemporal cardiac dynamics using structured photo-stimulation. European Heart Journal 39: 591–591 (2018).

Observing spatio-temporal dynamics of excitable media using reservoir computing. Chaos 28: 043118 (2018).

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Electromechanical vortex filaments during cardiac fibrillation. Nature 555: 667–672 (2018).

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Terminal transient phase of chaotic transients. Physical Review Letters 120: 094101 (2018).

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Towards optogenetic control of spatiotemporal cardiac dynamics. Optogenetics and Optical Manipulation 10482: 104820G (2018).

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Viscoelastic computational modeling of the human head-neck system: Eigenfrequencies and time-dependent analysis. International Journal for Numerical Methods in Biomedical Engineering 34: e2900 (2018).

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An ensemble framework for time delay synchronization. Quarterly Journal of the Royal Meteorological Society 144: 305–316 (2018).

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Spatiotemporal permutation entropy as a measure for complexity of cardiac arrhythmia. Frontiers in Physics 6: 39 (2018).

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Marker-free tracking for motion artifact compensation and deformation measurements in optical mapping videos of contracting hearts. Frontiers in Physiology 9: 1483 (2018).

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Follow the light - From low-energy defibrillation to multi-site photostimulation. 2018 40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) (2018).

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Energy-reduced arrhythmia termination using global photostimulation in optogenetic murine hearts. Frontiers in Physiology 9: 1651 (2018).

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Characterization and control of wave propagation in the heart. (2018).

A state space odyssey — The multiplex dynamics of cardiac arrhythmias. (2018).

3D virtual histology of murine kidneys - high resolution visualization of pathological alterations by micro computed tomography. Scientific Reports 8: 1407 (2018).

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Electromechanical optical mapping. Progress in Biophysics and Molecular Biology 130: 150–169 (2017).

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Analysis and modelling of a 9.3 kyr palaeoflood record: correlations, clustering, and cycles. Hydrology and Earth System Sciences 21: 5547–5581 (2017).

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Complex restitution behavior and reentry in a cardiac tissue model for neonatal mice. Physiological Reports 5: e13449 (2017).

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A new, low-energy defibrillation strategy: Use of multiple electric field directions to reshape scroll wave filaments. Computing in Cardiology 44: 1–4 (2017).

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Introduction to focus issue: Complex cardiac dynamics. Chaos 27: 093701 (2017).

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Extremes of fractional noises: A model for the timings of arrhythmic heart beats in post-infarction patients. Chaos 27: 093942 (2017).

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Emergent dynamics of spatio-temporal chaos in a heterogeneous excitable medium. Chaos 27: 093931 (2017).

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Modelling far field pacing for terminating spiral waves pinned to ischaemic heterogeneities in cardiac tissue. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375: 20160289 (2017).

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Detection and characterization of intermittent complexity variations in cardiac arrhythmia. Physiological Measurement 38: 1561–1575 (2017).

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Synchronization as a mechanism for low-energy anti-fibrillation pacing. Heart Rhythm 14: 1254–1262 (2017).

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Features of chaotic transients in excitable media governed by spiral and scroll waves. Physical Review Letters 119: 054101 (2017).

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Sustainability, collapse and oscillations in a simple World-Earth model. Environmental Research Letters 12: 074020 (2017).

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Spontaneous termination of reentrant activity under myocardial acute ischemia: Role of cellular conductivity and its relation to ischemic heterogeneities. Communications in Nonlinear Science and Numerical Simulation 48: 115–122 (2017).

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Impact of viscoelastic coupling on the synchronization of symmetric and asymmetric self-sustained oscillators. New Journal of Physics 19: 063040 (2017).

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The relevant role of SR Ca leak in the development of heart failure. European Journal of Heart Failure 19: 343–343 (2017).

Combined scanning X-ray diffraction and holographic imaging of cardiomyocytes. Journal of Applied Crystallography 50: 612–620 (2017).

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Synchronisation behaviour of viscoelastically coupled self-sustained oscillators as models for oscillations of premature cardiomyocytes. (2017).

Simultaneous quantification of spatially siscordant alternans in voltage and intracellular calcium in Langendorff-perfused rabbit hearts and inconsistencies with models of cardiac action potentials and Ca transients. Frontiers in Physiology 8: 819 (2017).

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Mechanisms of vortices termination in the cardiac muscle. Royal Society Open Sience 4: 170024 (2017).

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Intermittent complexity fluctuations during ventricular fibrillation. (2017).

Influence of heterogeneities on waves of excitation in the heart. (2017).

Optogenetic light crafting tools for the control of cardiac arrhythmias. Optogenetics : Methods and protocols. 1408: 293–302 (2016).

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Estimating Lyapunov exponents from time series. Chaos detection and predictability 915: 1–34 (2016).

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A new defibrillation mechanism: Termination of reentrant waves by propagating action potentials induced by nearby heterogeneities. Computing in Cardiology Conference 2016 43: 1077–1080 (2016).

Estimability and dependency analysis of model parameters based on delay coordinates. Physical Review E 94: 032221 (2016).

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Bifurcations, chaos, and sensitivity to parameter variations in the Sato cardiac cell model. Communications in Nonlinear Science and Numerical Simulation 37: 265–281 (2016).

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Role of sarcoplasmic reticulum calcium leak in heart failure. European Heart Journal 37: 423–423 (2016).

Scanning and resetting the phase of a pinned spiral wave using periodic far field pulses. New Journal of Physics 18: 043012 (2016).

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Scanning and resetting the phase of a pinned spiral wave using periodic far field pulses. New Journal of Physics 18: 043012 (2016).

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Parameterschätzung und Modellevaluation für komplexe Systeme. (2016).

Stabilization of three-dimensional scroll waves and suppression of spatiotemporal chaos by heterogeneities. Physical Review E 92: 042920 (2015).

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Simulations of ventricular tachycardia under myocardial ischemic conditions and infarction. (2015).

Quantifying spatiotemporal complexity of cardiac dynamics using ordinal patterns. Engineering in Medicine and Biology Society (EMBC), 2015 37th Annual International Conference of the IEEE (2015).

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A new far-field cardiac defibrillation mechanism. (2015).

Comparison of winding-number sequences for symmetric and asymmetric oscillatory systems. Physical Review E 92: 022907 (2015).

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Sensing cardiac electrical activity with a cardiac myocyte-targeted optogenetic voltage indicator. Circulation Research 117: 401–412 (2015).

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Optogenetic determination of the myocardial requirements for extrasystoles by cell type-specific targeting of ChannelRhodopsin-2. Proceedings of the National Academy of Sciences of the United States of America 112: E4495–E4504 (2015).

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Basin structure of optimization based state and parameter estimation. Chaos 25: 053108 (2015).

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Changes of sleep-stage transitions due to ageing and sleep disorder. Philosophical Transactions of the Royal Society A 373: 2014.0093 (2015).

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Entropy rate maps of complex excitable dynamics in cardiac monolayers. Entropy 17: 950–967 (2015).

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Crosstalk of cardiomyocytes and fibroblasts in co-cultures. Open Biology 5: 150038 (2015).

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Changes of sleep-stage transitions due to ageing and sleep disorder. Philosophical Transactions of the Royal Society A 373: 20140093 (2014).

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Using waveform information in nonlinear data assimilation. Physical Review E 90: 062916-1–062916-23 (2014).

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Evaluation of Machine Learning Methods for the Long-Term Prediction of Cardiac Diseases. 8th Conference of the ESGCO (2014).

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Eliminating Pinned Spiral Waves in Cardiac Monolayer by Far Field Pacing. 8th Conference of the ESGCO (2014).

Detecting Synchronization and Interrelations in Multivariate Time Series. 8th Conference of the ESGCO (2014).

Toward panoramic in situ mapping of action potential propagation in transgenic hearts to investigate initiation and therapeutic control of arrhythmias. Frontiers in Physiology 5: 1–7 (2014).

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Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction. Chaos 24: 024411-01–024411-11 (2014).

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Quantifying uncertainty in state and parameter estimation. Physical Review E 89: 050902-1–050902-5 (2014).

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Mechanistic insights into hypothermic ventricular fibrillation: the role of temperature and tissue size. Europace 16: 424–434 (2014).

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Accurate state and parameter estimation in nonlinear systems with sparse observations. Physics Letters A 378: 869–873 (2014).

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Electro-mechanical Characterization and Modeling of Engineered Heart Tissue. (2014).

Identification of equivalent dynamics using ordinal pattern distributions. The European Physical Journal Special Topics 222: 553–568 (2013).

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Effects of pacing site and stimulation history on alternans dynamics and the development of complex spatiotemporal patterns in cardiac tissue. Frontiers in Physiology 4: 1–20 (2013).

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Nonlinear system identification employing automatic differentiation. Communications in Nonlinear Science and Numerical Simulation 18: 2733–2742 (2013).

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Neural control and adaptive neural forward models for insect-like, energy-efficient, and adaptable locomotion of walking machines. Frontiers in Neural Circuits 7: 1–28 (2013).

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The role of microscopic heterogeneity on macroscopic dynamics. (2013).

Molecular and cellular mechanisms of arrhythmia initiation, interactions with the cardiac substrate and electrophysiological dynamics. (2013).

Cardiac arrhythmia termination on the vascular and organ scale. (2013).

Mutual information rate and bounds for it. PLoS One 7: e46745 (2012).

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Theory and computation of covariant Lyapunov vectors. Journal of Nonlinear Science 22: 727–762 (2012).

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Stimulated emission depletion live-cell super-resolution imaging shows proliferative remodeling of T-tubule membrane structures after myocardial infarction. Circulation Research 111: 402–414 (2012).

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Manifold learning approach for chaos in the dripping faucet. Physical Review E 86: 036209 (2012).

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Negative curvature boundaries as wave emitting sites for the control of biological excitable media. Physical Review Letters 109: 1118106 (2012).

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Dynamics of a driven oscillator carrying a freely sliding mass. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22: 1250132 (2012).

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Classifying cardiac biosignals using ordinal pattern statistics and symbolic dynamics. Computers in Biology and Medicine (Elmsford, NY) 42: 319–327 (2012).

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State and parameter estimation using unconstrained optimization. Physical Review E 84: 056214 (2011).

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Inferring network connectivity by delayed feedback control. PLoS One 6: e24333 (2011).

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Synchronization based system identification of an extended excitable system. Chaos 21: 033104 (2011).

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Low-energy control of electrical turbulence in the heart. Nature 475: 235–239 (2011).

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Synchronization patterns in transient spiral wave dynamics. Physical Review E 83: 057201 (2011).

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Phase-sensitive constant temperature anemometry. Macromolecular Materials and Engineering 296: 230–237 (2011).

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SAP97 and Dystrophin Macromolecular Complexes Determine Two Pools of Cardiac Sodium Channels Nav1.5 in Cardiomyocytes. Circulation Research 108: 294–304 (2011).

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SAP97 and Dystrophin Macromolecular Complexes Determine Two Pools of Cardiac Sodium Channels Nav1.5 in Cardiomyocytes. Circulation Research 108: 294–304 (2011).

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Cardiomyocyten im Chaos – Makroskopische Untersuchungen kardialer Arrhythmien in-vitro unter dem Einfluss elektrischer Pulsfolgen und Parameteränderungen. (2011).

Using efference copy and a forward internal model for adaptive biped walking. Autonomous Robots 29: 357–366 (2010).

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Transmural Ultrasound-based Visualization of Patterns of Action Potential Wave Propagation in Cardiac Tissue. Annals of Biomedical Engineering 38: 3112–3123 (2010).

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Transmural Ultrasound-based Visualization of Patterns of Action Potential Wave Propagation in Cardiac Tissue. Annals of Biomedical Engineering 38: 3112–3123 (2010).

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Phase-resolved analysis of the susceptibility of pinned spiral waves to far-field pacing in a two-dimensional model of excitable media. Philosophical Transactions of the Royal Society A 368: 2221–2236 (2010).

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Wave-train-induced termination of weakly anchored vortices in excitable media. Physical Review E 81: 010901-1–010901-5 (2010).

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Termination of Atrial Fibrillation Using Pulsed Low-Energy Far-Field Stimulation. Circulation 120: 467–476 (2009).

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Far Field Pacing supersedes Anti-Tachycardia Pacing in a generic model of excitable media. New Journal of Physics 10: 103012-1–103012-9 (2008).

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Characterization of multiple spiral wave dynamics as a stochastic predator-prey system. Physical Review E 78: 021913-1–021913-17 (2008).

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Wave Emission from Heterogeneities Opens a Way to Controlling Chaos in the Heart. Physical Review Letters 99: 208101-1–208101-4 (2007).

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Drag and lift forces on bubbles in a rotating flow. Journal of Fluid Mechanics 571: 439–454 (2007).

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Viscosity Destabilizes Sonoluminescing Bubbles. Physical Review Letters (2006).

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Energy spectra in microbubbly turbulence. Physics of Fluids 18: 038103-1–038103-3 (2006).

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Turbulent bubbly flow. Journal of Turbulence 7: 1–12 (2006).

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Data analysis for hot-film anemometry in turbulent bubbly flow. Experimental Thermal and Fluid Science 29: 821–826 (2005).

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Bubble shape and orientation determination with a four-point optical fibre probe. Experimental Thermal and Fluid Science 29: 803–812 (2005).

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The effect of bubbles on developed turbulence. Journal of Fluid Mechanics 538: 153–187 (2005).

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Asymmetry-induced particle drift in a rotational flow. Physics of Fluids 17: 072106-1–072106-5 (2005).

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Hot-film anemometry in bubbly flow I: bubble–probe interaction. International Journal of Multiphase Flow 31: 285–301 (2005).

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Drag Reduction in Bubbly Taylor-Couette Turbulence. Physical Review Letters 94: 044501-1–044501-4 (2005).

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