Regeneration of stochastic processes: an inverse method |
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Authors: | F?Ghasemi J?Peinke M?Sahimi Email author" target="_blank">M R?Rahimi TabarEmail author |
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Institution: | 1.Department of Physics,Sharif University of Technology,Tehran,Iran;2.Carl von Ossietzky University, Institute of Physics,Oldenburg,Germany;3.Department of Chemical Engineering,University of Southern California,Los Angeles,USA;4.CNRS UMR 6529,Nice Cedex 4,France |
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Abstract: | We propose a novel inverse method that utilizes a set of data to
construct a simple equation that governs the stochastic process
for which the data have been measured, hence enabling us to
reconstruct the stochastic process. As an example, we analyze the
stochasticity in the beat-to-beat fluctuations in the heart rates
of healthy subjects as well as those with congestive heart
failure. The inverse method provides a novel technique for
distinguishing the two classes of subjects in terms of a drift and
a diffusion coefficients which behave completely differently for
the two classes of subjects, hence potentially providing a novel
diagnostic tool for distinguishing healthy subjects from those
with congestive heart failure, even at the early stages of the
disease development. |
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Keywords: | |
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