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Cells were grown in exponential conditions and harvested at the indicated time points.
This process is not expected to occur under exponential conditions, but might occur with potentially deleterious stress or other conditions that require rapid adaptation.
After pre-denaturation for 7 min at 94°C, the chain reaction was repeated for 25 cycles to maintain exponential conditions for amplifications (30 cycles for murine osteopontin).
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The map of the coefficient of determination (R, fit precision) and the binary map based on the bi-exponential condition (Eq.3) (0 = monoexponential decay, 1 = bi-exponential decay) were saved as well.
Because the fBm becomes the standard Brownian motion when (H = frac{1}{2}), the exponential stability conditions derived in Theorem 1 for the GRNs with fBm will become mean-square exponential stability conditions for the GRNs with standard Brownian motion, which, to the best our knowledge, has not been reported in the literature.
In the following, we shall establish tractable exponential stability conditions.
In particular, we prove convergence and exponential convergence conditions around zero under general Markovian strategies.
The difficulties then arise when one attempts to derive exponential stability conditions.
A time-dependent switching law is designed to obtain the exponential stabilization conditions of the switched systems with unstabilizable subsystems.
It is simple yet effective in deriving less conservative exponential convergence conditions and more detailed componentwise decay estimates.
Lou and Cui in [29] conversed the exponential stability conditions for time-delayed BAM NNs while Markovian jump parameters arose.
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