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This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models.
R.M. May's theoretical work in 1974 showed that simple deterministic rules may explain the complex fluctuations observed in population time series, with a broad spectrum of dynamics, from erratic, to periodic, to chaotic [9], [10].
At this point, no one approach is able to cover the spectrum of dynamics at high spatial resolution.
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A typical measure presents barely perceptible calibrations of intonation and rhythm, a broad spectrum of registers, dynamics and modes of articulation, detailed phrasing instructions and a smattering of grace notes, all within a few seconds.
Provided a water body has not been dredged, a drilled sediment core could provide a good spectrum of pollution dynamics in a watershed (Spencer and MacLeod 2002).
In particular, the creep-slip leading to a significant widening of the spectrum of the dynamics is observed at the final phase of the process.
The phenomenon of thermoacoustic coupling itself is yet another nonlinear feedback coupling phenomenon, which has only very recently been identified exhibit a wide spectrum of complex dynamics, including chaos.
As a result, with the variation of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuous spectrum of gas dynamics.
In conclusion, the application of all these techniques in combination is a powerful tool to assess the full spectrum of nuclear protein dynamics and to understand the biophysical principles underlying nuclear structure and function.
However, the fact that β depends on the density of the population makes it quite evident that β and K (which are both influencing the variance of the population size) should be considered when interpreting the fluctuations of the population, and their changes in time should be taken into account when estimating the spectrum of the population dynamics.
Here we report new findings on telomere behavior at the other end of the timescale spectrum: the dynamics of individual human telomeres in living cells analyzed at 1-second time resolution.
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