Fractal dynamics of time series fluctuations for estimating the efficiency of dolphin-assisted therapies on children with trisomy 21

Jesus Jaime Moreno Escobar, Oswaldo Morales Matamoros, Erika Yolanda Aguilar Del Villar, Ricardo Tejeida Padilla, Victor Hugo Calderon Morfin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In particular, certain types of disabilities such as trisomy 21 or Down Syndrome have both physical and alternative therapies. Among the alternative therapies are dolphin-assisted ones, which is a technique that consists in the interaction of the human being with dolphins (usually of the bottlenose species), where a therapist also intervenes; through which we try to improve the quality of life of both children and adults who suffer serious health problems, especially chronic diseases and psychological. In the present study, the Electroencephalogram (EEG) signal recorded during a session of Dolphin Therapy in children with Down Syndrome is evaluated. From the EEG of children diagnosed were built time series fluctuations, specifically of standard deviation ν (t, τ). The self-affinity of the time series ν (t, τ) (treated as interfaces in motion) is characterized by the scaling behavior of the structure functions σ α(δtH} ), with H as the roughness exponent. It was found that the behavior of children with trisomy 21 is similar to the modeled by the Family-Vicsek scaling dynamic for a kinetic roughening of moving interface. Therefore it would possible to characterize and model the studied time series ν (t, τ) by using the tools from the theory of kinetic roughening such as the Langeving type (equation presented) where F is the external force, η (t, τ) the noise, and Φ is the real form of the function.

Original languageEnglish
Title of host publication2019 IEEE Technology and Engineering Management Conference, TEMSCON 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728111391
DOIs
StatePublished - Jun 2019
Event2019 IEEE Technology and Engineering Management Conference, TEMSCON 2019 - Atlanta, United States
Duration: 11 Jun 201914 Jun 2019

Publication series

Name2019 IEEE Technology and Engineering Management Conference, TEMSCON 2019

Conference

Conference2019 IEEE Technology and Engineering Management Conference, TEMSCON 2019
CountryUnited States
CityAtlanta
Period11/06/1914/06/19

Keywords

  • dolphin-assisted therapies
  • EEG
  • fractal dynamics
  • time series fluctuations
  • Trisomy 21

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