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The individual weightings of the sampling event were compared to a minimal scenario, i.e. untargeted bird selection, and with an optimised scenario, where each sampling had an optimal value for monitoring.
Under this condition the problem of finding a globally minimal scenario f is NP-complete [ 81, 82].
The problem of finding a globally minimal scenario f under the above-mentioned strong condition becomes polynomial in time [ 45].
For each minimal scenario, we analyzed all possible trajectories to reach the property P, a trajectory being expressed as the list of biomolecules activated during signal propagation.
The cost of the pair 〈 G, S〉 is the cost of its minimal scenario β and is denoted c(G, S).
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The minimal scenarios under CA identified with simultaneously low values of all indicators were perceived as target scenarios for establishing ACS.
Among the 679 genes described in PID, 145 have minimal scenarios containing the term TGF-β and correspond to extracellular stimulation by TGF-β.
This reachability property is then used to search for minimal scenarios such that the property is not achieved as soon as one component is removed in the initialization places or as soon as a component of event timing is disabled.
However, due to the size of the model and the wide set of potential solutions, we focused on minimal scenarios that take place in 10 steps, the representative size of solutions in our CADBIOM model.
From Table 12, we can see loss load is minimal in Scenario 1, while maximal in Scenario 3. In Scenario 1, human operation reliability is the highest, and operators could take emergency dispatching to stabilize the system early; while in Scenario 3, human error probability is the largest, failures could spread due to human factors.
By reducing the high dimensional model to the minimal plausible scenario, we were able to obtain a single algebraic expression that characterizes the fixed points of these dynamics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com