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On the other hand, by using a perturbation time series (Figure 2(c)), it can be seen that the expression of G7 increases even though the expression of G8 and G10 remain high.
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When time varying voltage is applied, the nonlinear differential equation is solved using a perturbation technique.
In a perturbation time series dataset, an initial perturbation is performed at time 0, which sets the expression levels of each gene to a certain level.
We use a perturbation method around an equilibrium.
We use a perturbation approach to construct the solutions.
A simple model of an imperfectly excited, simply supported, straight, single pipe CFM is investigated using a multiple time scaling perturbation analysis.
A simple mathematical model of a fluid-conveying pipe is formulated and the effect of pulsating fluid flow is analyzed using a multiple time scaling perturbation analysis.
Using a two-time-scales perturbation method an approximation of the solution of the initial boundary value problem is constructed.
Using a two times scales perturbation method, the relationship between the beam parameters and the damping rates are obtained analytically.
Approximations of the solution of this problem will be constructed by using a multiple time-scales perturbation method.
Here we temporally dissociate effects on segmentation from effects on posterior development and elongation using a time-controlled mild perturbation of the Wnt pathway.
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