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The stability of predator prey models, in the context of exploitation of renewable resources, subject to threshold policies (TP) is studied in this paper using the idea of backstepping and control Liapunov functions (CLF) well known in control theory, as well as the concept of virtual equilibria.
The results are based on discrete cellular automata models with negative feedback control of cell density on cancer stem cell proliferation, subject to threshold conditions.
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Then, a denoising step was applied using the method described in Hsu et al. [29] using the Haar wavelet family and the sure estimator for thresholding, with Jo (the level up to which the wavelet coefficients are subject to thresholding) equals to 4. The wavelet decomposition and reconstruction functions were from the WAVESLIM package.
The design reduces the frequency sensitivity of VCO by 20% when subjected to threshold voltage degradation.
Following subtraction, the remaining extravascular hemoglobin-positive immunofluorescent signal was subjected to threshold processing and quantified using the ImageJ Integrated Density analysis.
Greyscale images were subjected to threshold analysis producing the value of pixel intensity representing positive staining and then expressed as a percentage of the value of pixel intensity of the whole image.
Elements recovered by the ChIP-Seq experiments and the subsequent peak-calling pipeline were subjected to thresholds for False Discovery Rate at 1% and IDR at 2%.
Two theorems that establish the global stability of the discrete logistic model subject to the threshold policy (TP) and the TPH are proved.
To identify the law of a given society we must engage in moral and political argument, for the law is whatever requirements are consistent with an interpretation of its legal practices (subject to a threshold condition of fit) that shows them to be best justified in light of the animating ideal.
Here J r I ( x I ) is subject to a threshold condition for elimination of the weak response: J r I ( x I ) = 0 if J r I ( x I ) < Θ, J r I ( x I ) else. (5). Figure 4 demonstrates Gabor features before and after the weak response elimination.
Inclusion of SNPs in this study was subject to the threshold for genotype success rate (GSR) set to be > 95%.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com