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The creativity and emergence of biological and psychological behavior are nonlinear. However, that does not necessarily mean only that the measurements of the behaviors are curvilinear. Furthermore, the linear model might fail to reduce…

Data Analysis, Statistics and Probability · Physics 2021-05-28 Damian G. Kelty-Stephen , Elizabeth Lane , Madhur Mangalam

The multifractal scaling exponents are calculated for the critical wave function of a two-dimensional Dirac fermion in the presence of a random magnetic field. It is shown that the problem of calculating the multifractal spectrum maps into…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Horacio E. Castillo , Claudio de C. Chamon , Eduardo Fradkin , Paul M. Goldbart , Christopher Mudry

This work aimed, to determine the characteristics of activity series from fractal geometry concepts application, in addition to evaluate the possibility of identifying individuals with fibromyalgia. Activity level data were collected from…

Chaotic Dynamics · Physics 2018-09-28 Lucas Gabriel Souza França , Pedro Montoya , José Garcia Vivas Miranda

Models for human running performances of various complexities and underlying principles have been proposed, often combining data from world record performances and bio-energetic facts of human physiology. Here we present a novel, minimal…

Quantitative Methods · Quantitative Biology 2019-03-06 Matthew Mulligan , Guillaume Adam , Thorsten Emig

Continuous, ubiquitous monitoring through wearable sensors has the potential to collect useful information about users' context. Heart rate is an important physiologic measure used in a wide variety of applications, such as fitness tracking…

Machine Learning · Computer Science 2019-12-20 Nutta Homdee , Mehdi Boukhechba , Yixue W. Feng , Natalie Kramer , John Lach , Laura E. Barnes

To optimize mobile health interventions and advance domain knowledge on intervention design, it is critical to understand how the intervention effect varies over time and with contextual information. This study aims to assess how a push…

Applications · Statistics 2024-10-22 Jiaxin Yu , Tianchen Qian

Our aim is to present a new model which encompasses pace optimization and motor control effort for a runner on a fixed distance. We see that for long races, the long term behaviour is well approximated by a turnpike problem. We provide…

Optimization and Control · Mathematics 2021-05-06 Amandine Aftalion , Emmanuel Trélat

Heart rate variability (HRV) is a practical and noninvasive measure of autonomic nervous system activity, which plays an essential role in cardiovascular health. However, using HRV to assess physiology status is challenging. Even in…

Signal Processing · Electrical Eng. & Systems 2022-03-24 Jiacheng Zhu , Gregory Darnell , Agni Kumar , Ding Zhao , Bo Li , Xuanlong Nguyen , Shirley You Ren

A thin layer of liquid in a horizontal cell is subjected to a periodic vertical force with two control parameters: acceleration and frequency. The influence of the rheological behavior of the fluid was considered over the empirically…

Mathematical Physics · Physics 2008-04-24 M. Rosen , M. Piacquadio

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner

The brain is a system operating on multiple time scales, and characterisation of dynamics across time scales remains a challenge. One framework to study such dynamics is that of fractal geometry. However, currently there exists no…

Neurons and Cognition · Quantitative Biology 2018-12-12 Lucas G. S. França , José G. V. Miranda , Marco Leite , Niraj K. Sharma , Matthew C. Walker , Louis Lemieux , Yujiang Wang

A method is proposed to analyze the heartbeat waveform that can yield a reliable characterization of the structure after only a few pulses. The measure suggested is entropy index that is related to the one found effective in describing…

Medical Physics · Physics 2007-05-23 Rudolph C. Hwa

This paper investigates deteriorations in knee and ankle dynamics during running. Changes in lower limb accelerations are analyzed by a wearable musculo-skeletal monitoring system. The system employs a machine learning technique to classify…

Signal Processing · Electrical Eng. & Systems 2025-01-24 Garry A. Einicke , Haider A. Sabti , David V. Thiel , Marta Fernandez

In this paper, we propose an algorithm denoted as HeartBEAT that tracks heart rate from wrist-type photoplethysmography (PPG) signals and simultaneously recorded three-axis acceleration data. HeartBEAT contains three major parts: spectrum…

Signal Processing · Electrical Eng. & Systems 2018-11-14 Huijie Pan , Dogancan Temel , Ghassan AlRegib

We study quantitatively the level of false multifractal signal one may encounter while analyzing multifractal phenomena in time series within multifractal detrended fluctuation analysis (MF-DFA). The investigated effect appears as a result…

Data Analysis, Statistics and Probability · Physics 2015-06-16 Dariusz Grech , Grzegorz Pamuła

This paper illustrates how multilevel functional models can detect and characterize biomechanical changes along different sport training sessions. Our analysis focuses on the relevant cases to identify differences in knee biomechanics in…

Applications · Statistics 2021-04-07 Marcos Matabuena , Sherveen Riazati , Nick Caplan , Phil Hayes

We focus on various measures of the fluctuations of the sequence of intervals between beats of the human heart, and how such fluctuations can be used to assess the presence or likelihood of cardiovascular disease. We examine sixteen such…

Biological Physics · Physics 2016-09-08 Malvin C. Teich , Steven B. Lowen , Bradley M. Jost , Karin Vibe-Rheymer , Conor Heneghan

The heart beat data recorded from samples before and during meditation are analyzed using two different scaling analysis methods. These analyses revealed that mediation severely affects the long range correlation of heart beat of a normal…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Sarkar , P. Barat

The fractal scaling properties of the heartbeat time series are studied in a controlled ergometric regime using the Hurst rescaled range R/S analysis. The long-time "memory effect" quantified by the value of the Hurst exponent $H>0.5$ is…

Medical Physics · Physics 2007-05-23 M. Martinis , A. Knežević , G. Krstačić , E. Vargović

The multifractal detrended fluctuation analysis of time series is able to reveal the presence of long-range correlations and, at the same time, to characterize the self-similarity of the series. The rich information derivable from the…

Biomolecules · Quantitative Biology 2015-02-06 Enrico Maiorino , Lorenzo Livi , Alessandro Giuliani , Alireza Sadeghian , Antonello Rizzi