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This implies there exist feedback mechanisms that act to renormalize the expression of many NMD-target genes when NMD function is compromised.
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Moreover, there exists feedback regulation within the HIF pathway as well as crosstalk and synergism with other pathways, e.g. NFκB and mTOR (Cavadas et al., 2013).
Then, from Theorem 2, there exists a feedback controller with dimension (operatorname{dim} mathcal{X}_{ K}=operatorname{dim} mathcal{V}_{2}-operatorname{dim} mathcal{V}_{1}=2).
In particular, comparing with SSN modules, there exists negative feedbacks in SSI modules caused by inhibitions, which makes the module structure and the reaction mechanism much more complicated.
We remark that there exist in the literature alternative ways of treating metabolic feedback on regulation and in particular the flux variables.
How to find a minimum set of feedback edges is an NP-hard problem in graph theory but there exist approximate algorithms which could do the job relatively fast [ 47].
Suppose there exists another optimal feedback operator ( widetilde Theta (cdot)).
You are there, exist there.
There exist a positive feedback loop in the activation of microglia via TNF-alpha; this may be involved in the prolonged activation of microglia [ 15].
We also assume that there exists a feedback channel between each legitimate user and the transmitter.
Then Theorem 1 assures that there exists a feedback gain matrix K so that systems (3.11) and (3.12) realize the synchronization.
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