23,780 research outputs found
Comment of Global dynamics of biological systems
In a recent study, (Grigorov, 2006) analyzed temporal gene expression
profiles (Arbeitman et al., 2002) generated in a Drosophila experiment using
SSA in conjunction with Monte-Carlo SSA. The author (Grigorov, 2006) makes
three important claims in his article, namely:
Claim1: A new method based on the theory of nonlinear time series analysis is
used to capture the global dynamics of the fruit-fly cycle temporal gene
expression profiles.
Claim 2: Flattening of a significant part of the eigen-spectrum confirms the
hypothesis about an underly-ing high-dimensional chaotic generating process.
Claim 3: Monte-Carlo SSA can be used to establish whether a given time series
is distinguishable from any well-defined process including deterministic chaos.
In this report we present fundamental concerns with respect to the above
claims (Grigorov, 2006) in a systematic manner with simple examples. The
discussion provided especially discourages the choice of SSA for inferring
nonlinear dynamical structure form time series obtained in any biological
paradigm.Comment: 6 pages, 2 figure
Low dimensional behavior in three-dimensional coupled map lattices
The analysis of one-, two-, and three-dimensional coupled map lattices is
here developed under a statistical and dynamical perspective. We show that the
three-dimensional CML exhibits low dimensional behavior with long range
correlation and the power spectrum follows noise. This approach leads to
an integrated understanding of the most important properties of these universal
models of spatiotemporal chaos. We perform a complete time series analysis of
the model and investigate the dependence of the signal properties by change of
dimension.Comment: 7 pages, 6 figures (revised
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