This thesis presents a new method for following evolving interactions between coupled oscillatory systems of the kind that abound in nature. Examples range from the subcellular level, to ecosystems, through climate dynamics, to the movements of planets and stars. Such systems mutually interact, adjusting their internal clocks, and may correspondingly move between synchronized and non-synchronized states. The thesis describes a way of using Bayesian inference to exploit the presence of random fluctuations, thus analyzing these processes in unprecedented detail. It first develops the basic theory of interacting oscillators whose frequencies are non-constant, and then applies it to the human heart and lungs as an example. Their coupling function can be used to follow with great precision the transitions into and out of synchronization. The method described has the potential to illuminate the ageing process as well as to improve diagnostics in cardiology, anesthesiology and neuroscience, and yields insights into a wide diversity of natural processes.
| ISBN: | 9783319007526 |
| Publication date: | 10th September 2013 |
| Author: | Tomislav Stankovski |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 135 pages |
| Series: | Springer Theses |
| Genres: |
Cybernetics and systems theory Stochastics Computational biology / bioinformatics Mathematical physics Probability and statistics Applied mathematics The environment |
This thesis presents a new method for following evolving interactions between coupled oscillatory systems of the kind that abound in nature. Examples range from the subcellular level, to ecosystems, through climate dynamics, to the movements of planets and stars. Such systems mutually interact, adjusting their internal clocks, and may correspondingly move between synchronized and non-synchronized states. The thesis describes a way of using Bayesian inference to exploit the presence of random fluctuations, thus analyzing these processes in unprecedented detail. It first develops the basic theory of interacting oscillators whose frequencies are non-constant, and then applies it to the human heart and lungs as an example. Their coupling function can be used to follow with great precision the transitions into and out of synchronization. The method described has the potential to illuminate the ageing process as well as to improve diagnostics in cardiology, anesthesiology and neuroscience, and yields insights into a wide diversity of natural processes.
Tackling the Inverse Problem for Non-Autonomous Systems features in the following genres: Cybernetics and systems theory, Stochastics, Computational biology / bioinformatics, Mathematical physics, Probability and statistics, Applied mathematics, The environment
Tackling the Inverse Problem for Non-Autonomous Systems is available in Hardback
Tackling the Inverse Problem for Non-Autonomous Systems was written by Tomislav Stankovski and published by Springer an imprint of Springer International Publishing
Tackling the Inverse Problem for Non-Autonomous Systems has 135 pages
Yes it is part of Springer Theses series