The authors obtain a necessary condition for sustained oscillations in a simple mathematical model for the TGF loop.
Negative feedback, in contrast, is often discussed in the context of oscillations [ 6], and we recently conjectured that this is indeed a necessary condition for (sustained) oscillations [ 39].
The lack of association between opioid dependence and delay in HCV treatment in our study may be related to changing perceptions by French HIV physicians as they increasingly realize that opioid dependence is not a limiting condition for sustained adherence, even for life-long treatments like antiretrovirals [ 59].
Hypertension is a condition of sustained high blood pressure and its medical diagnosis is made after blood pressure measurements that meet the criteria for the condition.
Most notably, the primary condition for sustaining an innovation is teacher support.
Finally, our study has clearly demonstrated that the observed mitochondrial dysfunction is a sufficient condition for the observation of aerobic glycolysis phenotype but the necessary condition for sustaining the aerobic glycolysis (or metabolic switch) in these cell lines is the sustained ROS imbalance as shown by the assays described in this paper.
When the finance ministers and central bank governors at their February 2014 meeting in Sydney promised "to remove constraints to private investment", this met the central US condition for sustaining global capitalism.
The initial bombing, he said, was intended "to create conditions for sustained antiterrorist" operations against his organization.
We also want to create conditions for sustained humanitarian relief operations and we want to make sure that we do everything we can to ease the misery of the Afghan peoplethe misery that has been imposed on them by the Taliban leadership and by al Qaeda.
Detailed analysis of the full systems in the local region provided sufficient conditions for sustained oscillations.
Given the nominal parameter values in the Methods section with delays for both activator and repressor maturation approximately equal to the protein lifetimes, the critical Routh conditions for sustained oscillations are met essentially for the entire region of potential oscillation.
