Reconstructing time-dependent dynamics

Clemson, Philip and Lancaster, Gemma and Stefanovska, Aneta (2016) Reconstructing time-dependent dynamics. Proceedings of the IEEE, 104 (2). pp. 223-241. ISSN 0018-9219

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Abstract

The usefulness of the information extracted from biomedical data relies heavily on the underlying theory of the methods used in its extraction. The assumptions of stationarity and autonomicity traditionally applied to dynamical systems break down when considering living systems, due to their inherent time-variability. Living systems are thermodynamically open, and thus constantly interacting with their environment. This results in highly nonlinear, time-dependent dynamics. The aim of signal analysis is to gain insight into the behaviour of the system from which the signal originated. Here, various analysis methods for the characterization of signals and their underlying non-autonomous dynamics are presented, incorporating time-frequency analysis, time-domain decomposition of nonlinear modes, and methods to study mutual interactions and couplings using dynamical Bayesian inference, wavelet-bispectral and time-localised coherence, and entropy and information-based analysis. The recent introduction of chronotaxic systems provides a theoretical framework in which dynamical systems can have amplitudes and frequencies which are time-varying, yet stable, matching well the characteristics of living systems. We demonstrate that considering this theory of chronotaxic systems whilst applying the presented methods results in an approach for the reconstruction of the dynamics of living systems across many scales.

Item Type: Journal Article
Journal or Publication Title: Proceedings of the IEEE
Additional Information: (c) 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2200/2208
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 73805
Deposited By: ep_importer_pure
Deposited On: 18 Jun 2015 05:45
Refereed?: Yes
Published?: Published
Last Modified: 21 Oct 2019 00:21
URI: https://eprints.lancs.ac.uk/id/eprint/73805

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