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Chapter
Quantifying the Rationality of Rhythmic Signals
Rhythms and vibrations represent the quintessence of life, and they are ubiquitous (systemic) in all living systems. Recognising, unfolding these rhythms is paramount in medicine, for example, in the physiolog...
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Chapter and Conference Paper
A Wavelet-Based Method for Multifractal Analysis of Medical Signals: Application to Dynamic Infrared Thermograms of Breast Cancer
We use the wavelet transform modulus maxima (WTMM) method to perform multifractal analysis of the temporal fluctuations of breast skin temperature recorded using infrared (IR) thermography. When investigating ...
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Chapter
Megabase Replication Domains Along the Human Genome: Relation to Chromatin Structure and Genome Organisation
In higher eukaryotes, the absence of specific sequence motifs, marking the origins of replication has been a serious hindrance to the understanding of (i) the mechanisms that regulate the spatio-temporal repli...
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Chapter
Wavelet Based Multifractal Formalism: Applications to DNA Sequences, Satellite Images of the Cloud Structure, and Stock Market Data
We elaborate on a unified thermodynamic description of multifractal distributions including measures and functions. This new approach relies on the computation of partition functions from the wavelet transform...
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Chapter
Wavelet analysis of fully developed turbulence data and measurement of scaling exponents
Wavelet analysis can be used to measure directly the scaling exponents characterizing the local multifractal behaviour of the velocity field at inertial-range scales, without recourse to dissipation-type quant...