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Tackling the Inverse Problem for Non-Autonomous Systems Application to the Life Sciences /

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, adj...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Stankovski, Tomislav (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Tackling the Inverse Problem for Non-Autonomous Systems  |h [electronic resource] :  |b Application to the Life Sciences /  |c by Tomislav Stankovski. 
250 |a 1st ed. 2014. 
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300 |a XV, 135 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Springer Theses, Recognizing Outstanding Ph.D. Research,  |x 2190-5061 
505 0 |a Theoretical background: non-autonomous systems and synchronization -- Inference of time-evolving coupled dynamical systems in the presence of noise -- Application to life sciences -- Analogue simulation and synchronization analysis of non-autonomous oscillators. 
520 |a 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. 
650 0 |a System theory. 
650 0 |a Probabilities. 
650 0 |a Mathematical physics. 
650 0 |a Environmental sciences-Mathematics. 
650 0 |a Bioinformatics. 
650 1 4 |a Complex Systems. 
650 2 4 |a Probability Theory. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
650 2 4 |a Mathematical Applications in Environmental Science. 
650 2 4 |a Computational and Systems Biology. 
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773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319032917 
776 0 8 |i Printed edition:  |z 9783319007540 
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830 0 |a Springer Theses, Recognizing Outstanding Ph.D. Research,  |x 2190-5061 
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950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)