Scale invariance as a symmetry in physical and biological systems: listening to photons, bubbles and heartbeats

Fossión, Rubén; Landa, Emmanuel; Stránský, Pavel; Velázquez, Víctor; Vieyra, J. C. López; Garduño, I.; García, David Pérez; Frank, A.

doi:10.1063/1.3537868

Cited by 18 publications

(17 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For α > 1.0 correlations exist but cease to be of a power-law form; α = 1.5 indicates brown noise, i.e., integrated white noise. Brown noise is influenced by the recent past much more strongly than by the distant past and is therefore characterized by only local correlations (24, 26, 27). …”

Section: Methodsmentioning

confidence: 99%

Nonlinear Variability of Body Sway in Patients with Phobic Postural Vertigo

Schniepp¹,

Wuehr²,

Pradhan³

et al. 2013

Front. Neurol.

View full text Add to dashboard Cite

Background: Subjective postural imbalance is a key symptom in the somatoform phobic postural vertigo (PPV). It has been assumed that more attentional control of body posture and / or co-contraction of leg muscles during standing is used to minimize the physiological body sway in PPV. Here we analyze nonlinear variability of body sway in patients with PPV in order to disclose changes in postural control strategy associated with PPV.Methods: Twenty patients with PPV and 20 age-matched healthy subjects (HS) were recorded on a stabilometer platform with eyes open (EO), eyes closed (EC), and while standing on a foam rubber with eyes closed (ECF). Spatio-temporal changes of the center of pressure (CoP) displacement were analyzed to assess the structure of postural variability by computing the scaling exponent α and the sample entropy (SEn) of the time series.Results: With EO on firm ground α and SEn of CoP displacement were significantly lower in patients (p < 0.001). For more difficult conditions (EC, ECF) postural variability in PPV assimilated to that of HS.Conclusion: Postural control in PPV patients differs from HS under normal stance condition. It is characterized by a reduced scaling behavior and higher regularity. These changes in the structure of postural variability might suggest an inappropriate attentional involvement with stabilizing strategies, which are used by HS only for more demanding balance tasks.

show abstract

Section: Methodsmentioning

confidence: 99%

Nonlinear Variability of Body Sway in Patients with Phobic Postural Vertigo

Schniepp¹,

Wuehr²,

Pradhan³

et al. 2013

Front. Neurol.

View full text Add to dashboard Cite

show abstract

“…Our results suggest that 1/ f noise may be a fingerprint of a statistical phase transition from randomness (low correlation associated with white noise), to predictability (high correlation associated to brown noise) an idea suggested to us by A Frank (pers. comm., 2011) and discussed in Fossion et al (2010).…”

Section: Lévy Walks and 1/f Dynamicsmentioning

confidence: 99%

Complex groundwater flow systems as traveling agent models

López-Corona

Padilla

Escolero

et al. 2014

PeerJ

View full text Add to dashboard Cite

Analyzing field data from pumping tests, we show that as with many other natural phenomena, groundwater flow exhibits complex dynamics described by 1/f power spectrum. This result is theoretically studied within an agent perspective. Using a traveling agent model, we prove that this statistical behavior emerges when the medium is complex. Some heuristic reasoning is provided to justify both spatial and dynamic complexity, as the result of the superposition of an infinite number of stochastic processes. Even more, we show that this implies that non-Kolmogorovian probability is needed for its study, and provide a set of new partial differential equations for groundwater flow.

show abstract

“…when the power spectrum follows a power-law (S ∼ f −β ), in which case 80 it is customary to compare and classify fluctuation dynamics according to their 81 similarity to three archetypal classes of noises: white (β ∼ 0), pink (β ∼ 1) and 82 Brownian (β ∼ 2) [27][28][29][30]. 83 It has also been reported in the literature that several complex systems display 84 behaviors related to dynamic criticality, usually associated with some kind of scale 85 invariance, and in many cases with pink noise [27,28,31,32]. 86 Following this line of thought, several authors have found evidence of dynamic 87 criticality in physiological processes such as heart activity, and have posited that it may 88 be a key feature of a healthy state.…”

Section: Figmentioning

confidence: 99%

“…From a basic ecological perspective, sustainability encompasses "the ability of one or 26 more entities, either individually or collectively, to exist and thrive (either unchanged or 27 in evolved forms) for lengthy timeframes, in such a manner that the existence and 28 flourishing of other collectivities of entities is permitted at related levels and in related 29 systems" [8]. From the multiplicity of elements considered in this definition, we identify 30 two core aspects relevant to ecological sustainability: ecosystem stability and health [9]. 31 As a whole, the concept of sustainability faces important challenges if it is to 32 consolidate as a scientific discipline.…”

Section: Introductionmentioning

confidence: 99%

“…From the multiplicity of elements considered in this definition, we identify 30 two core aspects relevant to ecological sustainability: ecosystem stability and health [9]. 31 As a whole, the concept of sustainability faces important challenges if it is to 32 consolidate as a scientific discipline. In this paper, we focus on the ecological dimension 33 of sustainability, particularly stability and health, using a thermodynamic-informational 34 framework.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Assessing sustainability in North America’s ecosystems using criticality and information theory

Ramírez-Carrillo

López-Corona

Toledo-Roy

et al. 2018

Preprint

View full text Add to dashboard Cite

Sustainability is a key concept in economic and policy debates. Nevertheless, it is usually treated only in a qualitative way and has eluded quantitative analysis. Here, we propose a sustainability index based on the premise that sustainable systems do not lose or gain Fisher Information over time. We test this approach using time series data from the AmeriFlux network that measures ecosystem respiration, water and energy fluxes in order to elucidate two key sustainability features: ecosystem health and stability. A novel definition of ecosystem health is developed based on the concept of criticality, which implies that if a system’s fluctuations are scale invariant then the system is in a balance between robustness and adaptability. We define ecosystem stability by taking an information theory approach that measures its entropy and Fisher information. Analysis of the Ameriflux consortium big data set of ecosystem respiration time series is contrasted with land condition data. In general we find a good agreement between the sustainability index and land condition data. However, we acknowledge that the results are a preliminary test of the approach and further verification will require a multi-signal analysis. For example, high values of the sustainability index for some croplands are counter-intuitive and we interpret these results as ecosystems maintained in artificial health due to continuous human-induced inflows of matter and energy in the form of soil nutrients and control of competition, pests and disease.

show abstract

Scale invariance as a symmetry in physical and biological systems: listening to photons, bubbles and heartbeats

Cited by 18 publications

References 40 publications

Nonlinear Variability of Body Sway in Patients with Phobic Postural Vertigo

Nonlinear Variability of Body Sway in Patients with Phobic Postural Vertigo

Complex groundwater flow systems as traveling agent models

Assessing sustainability in North America’s ecosystems using criticality and information theory

Contact Info

Product

Resources

About