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Tackling the Inverse Problem for Non-Autonomous Systems - Application to the Life Sciences (Hardcover, 2014 ed.)
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Tackling the Inverse Problem for Non-Autonomous Systems - Application to the Life Sciences (Hardcover, 2014 ed.)
Series: Springer Theses
Expected to ship within 12 - 17 working days
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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.
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