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This allows to obtain the complete evolution in time of the probability of failure with a unique reliability analysis.
The evolution in time of the probability of failure in a single point is computed as well as sensitivity factors.
The stochastic models we consider here are governed by the chemical master equation (CME, see e.g. [ 54]), which is a linear differential equation that describes the evolution in time of the probability of the system being in any particular state, considering all possible evolutions from the initial state.
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The evolution in time of the probabilities for the "magmatic" unrest and "eruption" nodes, shown in Fig. 1, refers to an application during a volcanic crisis exercise at Campi Flegrei, held in February 2014 (Papale, De Natale et al. 2014).
For patients in state 'high marker level' at time of sampling, the probability of death increased dramatically, a transition explaining the rapid decrease in the probability of remaining stationary at this state.
The time course of the probability in regaining walking ability is shown in two modes: first, dependent on time from study onset (figure 2A) and second, based on duration of illness (figure 2B).
Similar analysis with the sex parameter gave a top-ranked time-dependent model <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0016716.e014.PNG" class= inline-graphic"/>,without time dependency of the probability of entry parameter (Table S3).
Finally, Figure 5 shows the time evolution of the probability metric.
We first estimate the time dependence of the probability of hairpin formation using standard chemical kinetics and the Jacobson Stockmayer expression.
Data are obtained for the time dependence of the probability P⩾m(t) of formation of "at least m nuclei" (m = 1, 2, 3,...) in potentiostatic conditions.
We have found that quantum interference occurs whenever the two components of the superposition meet together during the time evolution of the probability density.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com