Springer Theses

Tackling the Inverse Problem for Non-Autonomous Systems

Application to the Life Sciences

Authors: Stankovski, Tomislav

  • Nominated as an outstanding Ph.D. thesis by the University of Lancaster, UK
  • Describes a new inference technique for time-evolving coupled systems in the presence of noise
  • Includes the first reconstruction of a time-evolving coupling function between open (biological) systems
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  • ISBN 978-3-319-00753-3
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  • ISBN 978-3-319-00752-6
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  • ISBN 978-3-319-03291-7
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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.

Table of contents (6 chapters)

  • Introduction

    Stankovski, Tomislav

    Pages 1-8

  • Theoretical Background: Non-Autonomous Systems and Synchronization

    Stankovski, Tomislav

    Pages 9-35

  • Bayesian Inference of Time-Evolving Coupled Systems in the Presence of Noise

    Stankovski, Tomislav

    Pages 37-74

  • Application to Life Sciences

    Stankovski, Tomislav

    Pages 75-108

  • Analogue Simulation and Synchronization Analysis of Non-Autonomous Oscillators

    Stankovski, Tomislav

    Pages 109-117

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-00753-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-00752-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-03291-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Tackling the Inverse Problem for Non-Autonomous Systems
Book Subtitle
Application to the Life Sciences
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00753-3
DOI
10.1007/978-3-319-00753-3
Hardcover ISBN
978-3-319-00752-6
Softcover ISBN
978-3-319-03291-7
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 135
Topics