This review provides a summary of methods originated in (non-equilibrium) statistical
mechanics and information theory, which have recently found successful applications to …

Health is one of the most important non-material assets and thus also has an enormous
influence on material values, since treating and preventing diseases is expensive. The …

Epilepsy is a malfunction of the brain that affects over 50 million people worldwide. Epileptic
seizures are usually characterized by an abnormal synchronized firing of neurons involved …

Information theory allows us to investigate information processing in neural systems in terms
of information transfer, storage and modification. Especially the measure of information …

To detect directional couplings from time series various measures based on distances in
reconstructed state spaces were introduced. These measures can, however, be biased by …

In the study of complex systems a fundamental issue is the mapping of the networks of
interaction between constituent subsystems of a complex system or between multiple …

Quantitative characterization of interaction between processes from time series is often
required in different fields of natural science including geophysics and biophysics. Typically …

The field of Network Physiology aims to advance our understanding of how physiological
systems and sub-systems interact to generate a variety of behaviors and distinct …

We propose the Fourier-domain transfer entropy spectrum, a generalization of transfer
entropy, as a model-free metric of causality. For arbitrary systems, this approach …

Inferring Granger-causal interactions between processes promises deeper insights into
mechanisms underlying network phenomena, eg in the neurosciences where the level of …