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Albergante et al. call this property Buffered Qualitative Stability (BQS): the network is qualitatively stable because its state does not change when the activity of particular regulatory links in the network changes, and it is buffered against its stability being compromised by the random addition of new links.
In addition, 2-node feedback loops can be Qualitatively Stable depending on the precise nature of their interactions (see 'Materials and methods').
Qualitatively Stable GRNs would be robust, for example, to changes in the concentration of a transcription factor or its affinity for its cognate DNA sequence.
In current study we show for the first time that CD66c expression stays qualitatively stable from diagnosis to relapse in all relapsed cases studied.
We show that the GRNs of six different organisms display a remarkable lack of long feedback loops, which makes them Qualitatively Stable.
It is therefore not surprising that a delay introduced into feedback loops can lead to oscillations and instability, and this is one additional reason contributing to feedback loops containing >2 nodes not being Qualitatively Stable.
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Under spontaneous conditions, qualitatively different stable dynamical states may coexist.
Because the evolutionary trajectories leading to qualitatively different stable states can be similar (Fig. 2), researchers may not be able to predict the fate of a given mutualism based on population densities, temporal distributions, or even interaction frequencies between focal populations during a climate change event.
Qualitatively the most stable attachment of the cartilage on top of the carrier was found for 10% O2 (v/v).
The objectives of this work were to examine the dynamics of runaway and to locate qualitatively the bounds for stable operation.
As is well known, for PDEs that enjoy a conservation or dissipation property, numerical schemes that inherit this property are often advantageous in that the schemes are fairly stable and give qualitatively better numerical solutions in practice.
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