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Activity Number: 427
Type: Contributed
Date/Time: Tuesday, August 11, 2015 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #315278
Title: Dynamics of DNA Minicircles in Motion via Fourier Analysis of Functional Time Series
Author(s): Shahin Tavakoli* and Victor Michael Panaretos
Companies: University of Cambridge and EPFL
Keywords: Functional Data Analysis ; Spectral Analysis ; DNA Minicircle ; Molecular Dynamics ; Multiple Testing ; Time Series
Abstract:

We consider the problem of studying the dynamics of DNA minicircles that are vibrating in solution. At a large scale, DNA minicircles are modelled as elastic rods, and the problem of understanding their dynamics can be recasted into the problem of estimating the second order structure of a stationary functional time series (FTS). We tackle this problem by a frequency domain approach, where we estimate the spectral density operators (or spectra) of the DNA minicircle. We then carry out hypothesis tests to compare the spectra of two specific DNA minicircles, and localize their differences both in frequencies and on the DNA minicircles.

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