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SUMMARY:Dynamics of DNA Minicircles in Motion via Fourier Analysis of Func
 tional Time Series - Shahin Tavakoli (University of Cambridge)
DTSTART:20151007T150000Z
DTEND:20151007T160000Z
UID:TALK61620@talks.cam.ac.uk
CONTACT:Adam Kashlak
DESCRIPTION:Motivated by problem of inferring the molecular dynamics of DN
 A in solution\, and linking the dynamics with the base-pair composition\, 
 we consider the problem of estimation and comparison of the dynamics of (s
 tationary) time series of curves.\n\nWe tackle the problem of estimation a
 nd comparison of the dynamics of time series of curves by a frequency doma
 in approach: intuitively\, this consists in decomposing the oscillation of
  the time series of curves into oscillations at distinct frequencies. The 
 frequency-wise fluctuation of the time series\, which are contained in the
  so-called spectral density operator (or spectra)\, can then be used to co
 mpare the dynamics of two time series of curves. In particular\, this is a
 pplied to comparing the dynamics of two DNA minicircle trajectories (obtai
 ned by Molecular Dynamics simulations). We carry out hypothesis tests to c
 ompare their spectra\, and localize their differences both in frequencies 
 and on the DNA minicircles.
LOCATION:MR14\, Centre for Mathematical Sciences
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