Detecting separate time scales in genetic expression data
BMC Genomics, 2010 Background Biological processes occur on a vast range of time scales, and many of them occur concurrently. As a result, system-wide measurements of gene expression have the potential to capture many of these processes simultaneously.
Fink Thomas MA +4 more
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Adding a subjective dimension to an ICF-based disability measure for people with multiple sclerosis: development and use of a measure for perception of disabilities [PDF]
, 2009 OBJECTIVE: The subjective dimension of disability, the perception of disability, is a dimension missing from the International Classification of Functioning, Disability and Health (ICF), and from health-related quality of life (HRQOL) instruments ...
Lok, W.S. +7 more
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Stability Analysis of a Damped Nonlinear Wave Equation [PDF]
Journal of Applied and Computational Mechanics, 2020 The current manuscript is concerned with extracting an analytical approximate periodic solution of a damped cubic nonlinear Klein-Gordon equation. The Riemann-Liouville fractional calculus is utilized to obtain an analytic approximate solution.
Yusry O. El-Dib +2 more
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On the multiple scales perturbation method for difference equations [PDF]
, 2007 In the classical multiple scales perturbation method for ordinary difference equations (O Delta Es) as developed in 1977 by Hoppensteadt and Miranker, difference equations (describing the slow dynamics of the problem) are replaced at a certain moment in ...
Van Horssen, W.T. +5 more
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Testing the method of multiple scales and the averaging principle for model parameter estimation of quasiperiodic two time-scale models [PDF]
, 2022 summary:Some dynamical systems are characterized by more than one time-scale, e.g. two well separated time-scales are typical for quasiperiodic systems.
Matonoha, Ctirad, Papáček, Štěpán
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Multiple time scales of bank-full discharge in the Yellow River
Shui kexue jinzhan, 2012 Under the influence of climate changes,the hydrologic system has the characteristics of multiple time scales.The bank-full discharge,as a function of inflow conditions,also has the characteristics of multiple time scales.This phenomenon was studied based
ZHANG Yan-yan, ZHONG De-yu, WU Bao-sheng
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Near scale-free dynamics in neural population activity of waking/sleeping rats revealed by multiscale analysis. [PDF]
PLoS ONE, 2010 A neuron embedded in an intact brain, unlike an isolated neuron, participates in network activity at various spatial resolutions. Such multiple scale spatial dynamics is potentially reflected in multiple time scales of temporal dynamics. We identify such
Leonid A Safonov +5 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2019 An axially moving printing web with variable density in a printing process causes a geometric nonlinear vibration, and a nonlinear vibration system is established using the von Karman nonlinear plate theory and the D’Alembert principle.
Mingyue Shao +4 more
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Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
, 2007 Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
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A Class of Shock Wave Solution to Singularly Perturbed Nonlinear Time-Delay Evolution Equations
Shock and Vibration, 2020 Nonlinear singularly perturbed problem for time-delay evolution equation with two parameters is studied. Using the variables of the multiple scales method, homogeneous equilibrium method, and approximation expansion method from the singularly perturbed ...
Yi-Hu Feng, Lei Hou
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