Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

The new field of network physiology: building the human physiolome

PC Ivanov - Frontiers in network physiology, 2021 - frontiersin.org
The human organism comprises various physiological and organ systems, each with its own
structural organization and functional complexity, leading to complex, transient, fluctuating …

Network physiology: how organ systems dynamically interact

RP Bartsch, KKL Liu, A Bashan, PC Ivanov - PloS one, 2015 - journals.plos.org
We systematically study how diverse physiologic systems in the human organism
dynamically interact and collectively behave to produce distinct physiologic states and …

Multifractal detrended fluctuation analysis of nonstationary time series

JW Kantelhardt, SA Zschiegner… - Physica A: Statistical …, 2002 - Elsevier
We develop a method for the multifractal characterization of nonstationary time series, which
is based on a generalization of the detrended fluctuation analysis (DFA). We relate our …

Fractal dynamics in physiology: alterations with disease and aging

AL Goldberger, LAN Amaral, JM Hausdorff… - Proceedings of the …, 2002 - pnas.org
According to classical concepts of physiologic control, healthy systems are self-regulated to
reduce variability and maintain physiologic constancy. Contrary to the predictions of …

Entropy measures, entropy estimators, and their performance in quantifying complex dynamics: Effects of artifacts, nonstationarity, and long-range correlations

W **ong, L Faes, PC Ivanov - Physical review E, 2017 - APS
Entropy measures are widely applied to quantify the complexity of dynamical systems in
diverse fields. However, the practical application of entropy methods is challenging, due to …

Detecting long-range correlations with detrended fluctuation analysis

JW Kantelhardt, E Koscielny-Bunde, HHA Rego… - Physica A: Statistical …, 2001 - Elsevier
We examine the detrended fluctuation analysis (DFA), which is a well-established method
for the detection of long-range correlations in time series. We show that deviations from …

Autonomic nervous system, circadian rhythms, and primary open-angle glaucoma

D Gherghel, SL Hosking, S Orgül - Survey of ophthalmology, 2004 - Elsevier
The etiology of primary open-angle glaucoma (POAG) remains the subject of continuing
investigation. Despite the many known risk factors and mechanism of damage, the principal …

Effect of trends on detrended fluctuation analysis

K Hu, PC Ivanov, Z Chen, P Carpena, HE Stanley - Physical Review E, 2001 - APS
Detrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-
range power-law correlation exponents in noisy signals. Many noisy signals in real systems …

Effect of nonstationarities on detrended fluctuation analysis

Z Chen, PC Ivanov, K Hu, HE Stanley - Physical review E, 2002 - APS
Detrended fluctuation analysis (DFA) is a scaling analysis method used to quantify long-
range power-law correlations in signals. Many physical and biological signals are “noisy,” …