Tackling the Inverse Problem for Non-Autonomous Systems

Application to the Life Sciences

  • Tomislav┬áStankovski

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Tomislav Stankovski
    Pages 1-8
  3. Tomislav Stankovski
    Pages 75-108
  4. Tomislav Stankovski
    Pages 119-122
  5. Back Matter
    Pages 123-135

About this book


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.


Bayesian Inference and Random Fluctuations Biomedical Examples of Coupled Oscillators Climate Dynamics as Coupled Oscillators Coupled Non-synchronous States Coupled Oscillators Coupled Oscillatory Systems in Nature Coupling Function for Interacting Oscillators Heart-Lung Synchronization Interacting Oscillators Non-autonomous Systems

Authors and affiliations

  • Tomislav┬áStankovski
    • 1
  1. 1.Department of PhysicsLancaster UniversityLancasterUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00753-3
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-00752-6
  • Online ISBN 978-3-319-00753-3
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book