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where V 0 is the heterostructure potential, and U is the Hartree term of the Coulomb interaction corresponding to the solution of Poisson's equation that considers carrier-carrier interactions (Ĥ ee) on a mean field level.
However, without the neurotransmitter loop but with a fixed neurotransmitter mean field level, corresponding to the average level for the four-dimensional single-cell core oscillator, 44 parameter sets showed a stable fixed point with imaginary eigenvalues, corresponding to damped (not self-sustained) oscillations (See Additional file 3: Supplementary Table S1).
The neurotransmitter levels thus become homogeneous, resulting in an average neurotransmitter level, or a mean field F. The mean field level of the neuropeptide then acts as a synchronising factor by activating X transcription both in an autocrine and paracrine manner (see Figure 1B for model equations, and Additional file 3 for detailed description).
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We study Floquet states of a nonlinear two-state model which is associated with a Bose Einstein condensate (BEC) held in a driven double-well trap on the mean-field level.
The effects of confinement, both the structure frustration and the surface field, on phase transitions of symmetric diblock copolymer melts are investigated within several theoretical methods on the mean-field level.
An analysis at the mean-field level of a dissipative open EBH as an effective model for nonlinearly coupled cavities has been performed, unveiling the emergence of novel photon crystal and supersolid phases [23, 24].
However, it is well established that the ranges of physical interest in most biological and technological applications lie in the intermediate to low concentration regimes, where fluctuations beyond the mean-field level of approximation become important and dominate the overall physical behavior.
Hence, at the mean-field level, mutation and selection become interrelated.
Regular solution theory on the mean-field level is used to describe the free energy in each individual leaflet.
We model this tendency using regular solution theory on the mean-field level which is also referred to as the Bragg-Williams or random mixing approximation (25, 26).
Hybridizing these atomistic and continuum representations provides a realistic mesoscale description of the electrostatic problem, while still allowing the entire system to be described at the same mean-field level.
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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