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We use the Fourier series to model periodicity of the gene expression profiles such as observed in circadian rhythms and cell cycles.
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The unit-cell model assumes periodicity of the corrugation pattern and homogeneity of the global load.
The model of periodicity considered in this paper is a significant extension of the model proposed in [19] with the new concepts of overlapping periodic patterns and derivations of periodic patterns.
However, it is unable to correctly model the fixed inter-arrival periodicity of a periodic task.
Considering the periodicity of the models, model (a) and (d) are actually very similar, while models (b) and (c) belong to one class.
One was a model based on the periodicity of the structure, i.e. the so-called periodic cell method (PCM), and the other was the waveguide FE method (WFEM) which requires a wave guiding geometry in at least one direction of the structure.
Pollitz et al. (2013) applied a hydrologic-loading model to explain the periodicity of slow events and the departures from periodicity at Vancouver Island, which lies in the Cascadia subduction zone.
In the first part of the paper, simple models demonstrate that the periodicity of such processes can be optimized in three settings: fixed desorption time, variable desorption time, and variable species concentration in the gas space.
In addition to its capacity to extend the modeling to non-stationary operating conditions, the model proposed highlights the angular periodicity of the rotating motor's geometry.
At the molecular scale, periodicity of the model allows thousands of particles to be built efficiently.
These complexities may be introduced without difficulty in the model and would break the periodicity of the cycle.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com