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When the number of intracellular constituents is large, the cell's behavior is well approximated by its expectation value according to the law of large numbers.
We see that even though in condition I the steady state behavior is well approximated by the reduced systems, the dynamics are not.
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The main results show that the behavior of the SPDE is well approximated by a stochastic ordinary differential equation describing the amplitude of the dominant mode.
The interesting thing is that the behavior of the species S8 which rapidly increases in time is well approximated in both first and second time scales.
In particular, these results would show that social interaction detection is well approximated by feedforward computations.
The behavior of long series is found to display both bending and extensional type of behaviors, which can be well approximated with an appropriate equivalent straight bender model.
We also find that, i) at early stages, the cumulative distribution of cases among countries exhibits linear behavior on log-log scale, being well approximated by a power law decay; ii) for larger times, the cumulative distribution presents a systematic curvature on log-log scale, indicating a gradual change to lognormal behavior.
A previous study has shown that the behavior of a transcriptional regulatory network can be well approximated by a system of linear equations near a steady-state, where gene expression does not substantially change [ 41].
As discussed in Chapter 6, typical vibrating strings in musical acoustics are well approximated as linear, time-invariant systems, there are special cases in which nonlinear behavior is desired.
This can be well approximated as 16N real multiplications.
Hence the bump waveform can be well approximated, as used in the following analysis.
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CEO of Professional Science Editing for Scientists @ prosciediting.com