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Single-molecule techniques reveal short- and long-range dynamics of supercoiled DNA.
We find that the rate of low-scale cross entropy can effectively identify flow patterns, and the high-scale cross entropy can represent their long-range dynamics.
As well, the application of the current GENERIC-based approach to the non-isothermal generalization of a phase-field crystal model for binary alloys from Elder et al. (2007) demonstrates its potential as a framework for the formulation of strongly non-local models for long-range dynamics in chemically and structurally inhomogeneous materials and systems.
If we use robust or subtle coding, then this will be true for the variables in the relevant sets X i, but not automatically for the variables in the remaining parts of the system, in particular, for the variables in B 1, B 2, B 3. We need a tool for adding redundant inputs to some variables that will not substantially alter the long-range dynamics of the whole system.
In each of these studies, healthy controls revealed long-range dynamics reliably closer to 1/ f scaling.
The majority of these uses have been in the area of gene therapy or for observing the local and long-range dynamics of short circularized DNA.
In the current paper, we used a mathematical model to reproduce experimental trajectories of the PRC1 protein published in [ 9] and extend the results to model long-range dynamics of the cell population.
This study is the first example of a comparison of the long range polymer chain dynamics for two different polymeric backbones randomly labeled with pyrene.
Here, we develop a spatially-explicit model of tree island formation and evolution, which accounts for these positive feedbacks (facilitation) as well as for long range competition and fire dynamics.
We have used optical trapping to directly measure two very long range interactions governing colloidal dynamics in two-dimensional fluid films: hydrodynamic interactions, which are found to decay logarithmically slow with distance, and capillary forces, whose intensity decreases as a power law with an exponent slightly smaller than one.
The electrical spectra for frequencies higher than 15 kHz evidenced the presence of relaxation events associated to local ion motion dynamics and long range diffusion.
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Justyna Jupowicz-Kozak
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