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Crucial Events (CEs)

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Crucial Event Rehabilitation Therapy

Part of the book series: SpringerBriefs in Bioengineering ((BRIEFSBIOENG))

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Abstract

CE time series are generated by critical dynamic interactions among units within complex dynamic ONs that after disruption spontaneously reorganizes themself into states of self-organized temporal criticality (SOTC). The time intervals between events are statistically independent and therefore the CE statistics are renewal having an inverse power law (IPL) for the waiting-time probability density function (PDF). The IPL index \(\mu \) is a direct measure of the complexity level the CE time series is also given by the fractional dimension \(D(=\mu )\); for \(2<D<3\) the CE time series has a finite average time between CEs (ergodic); whereas for \(1<D<2\) the time average between events diverges (non-ergodic). Information-gradients not energy-gradients dominate living networks, and one version of this role-reversal we call the Wiener Hypothesis (WH); another is related to the principle of complexity management (PCM) whereby the IPL index of the power spectral density \(\beta \) is related to the fractal dimension by \(D=3-\beta \). The transfer of information is restorative in the arm-in-arm walking of young therapists with elderly individuals having impaired gait and becomes the archetype for the CE rehabilitation therapy (CERT), with maximum information being exchanged between two interacting ONs having equal fractal dimensions.

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Authors and Affiliations

  1. Center for Nonlinear Science, University of North Texas, Denton, TX, USA

    Bruce J. West

  2. Department of Physics, University of North Texas, Denton, TX, USA

    Paolo Grigolini

  3. Departamento de Ingeniería Eléctrica y Electrónica, Universidad de Tarapacs, Arica, Chile

    Mauro Bologna

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  1. Bruce J. West
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  2. Paolo Grigolini
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  3. Mauro Bologna
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West, B.J., Grigolini, P., Bologna, M. (2023). Crucial Events (CEs) . In: Crucial Event Rehabilitation Therapy. SpringerBriefs in Bioengineering. Springer, Cham. https://doi.org/10.1007/978-3-031-46277-1_2

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