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Modelling Oscillating Living Systems: Cell Energy Metabolism as Weighted Networks of Nonautonomous Oscillators

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Publication date23/02/2021
Host publication2019-20 MATRIX Annals
EditorsDavid R. Wood, Jan de Gier, Cheryl E. Praeger, Terence Tao
Place of PublicationCham
Number of pages10
ISBN (Electronic)9783030624972
ISBN (Print)9783030624965
<mark>Original language</mark>English

Publication series

NameMatrix Book Series
ISSN (Print)2523-3041


Oscillations are a common feature throughout life, forming a key mechanism by which living systems can regulate their internal processes and exchange information. To understand the functions and behaviours of these processes, we must understand the nature of their oscillations. Studying oscillations can be difficult within existing physical models that simulate the changes in a system’s masses through autonomous differential equations. We discuss an alternative approach that focuses on the phases of oscillating processes and incorporates time as a key consideration. We will also consider the application of these theories to the cell energy metabolic system, and present a novel model using weighted nonautonomous Kuramoto oscillator networks in this context.