Introduction to Physics of Biological Oscillators : New Insights into Non-Equilibrium and Non-Autonomous Systems

McClintock, Peter V. E. and Stefanovska, Aneta (2021) Introduction to Physics of Biological Oscillators : New Insights into Non-Equilibrium and Non-Autonomous Systems. In: Physics of Biological Oscillators : New Insights into Non-Equilibrium and Non-Autonomous Systems. Springer, Cham. ISBN 9783030598044

Text (POBOChapter1)
POBOChapter1.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.
Download (118kB)

Abstract

To set the subject of book in context, a short discussion of oscillatory dynamical systems with non-constant frequencies is provided. Such oscillators are widespread, especially (but not only) in biology. It is pointed out that they can be considered as thermodynamically open (physics) or non-autonomous (mathematics). The difficulty of treating and analysing data derived from such systems is that most earlier work, and most of the well-established methods, refer to dynamics where the natural frequencies remain constant. Recent progress is discussed in five sections corresponding to Parts of the book. They cover respectively theory, model-driven and data-driven approaches, biological oscillators, applications, and the future. Ways of using the book are suggested.