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We used ResponseNet as the baseline method, to predict the network using the initial response genes and the final effectors only, since it is unable to incorporate information from the intermediate regulators and hence cannot predict a temporal path.
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In 1916 Albert Einstein (1879 1955) published "The Foundation of the General Theory of Relativity," which replaced Newton's description of gravitation as a force that attracts distant masses to each other through Euclidean space with a principle of least effort, or shortest (temporal) path, for motion along the geodesics of a curved space.
To measure the importance of a farm in the network, the fraction of times a farm is on the shortest temporal path between two premises of all existing shortest temporal paths (number shortest paths, NS) was calculated for the monthly networks.
First, for every frame, several fundamental frequency candidates are predicted, and second, the most probable temporal path is estimated, according to a hidden Markov model.
Figure 9 Temporal path length analysis for 'Pharmaceuticals' R&D network (SIC code 283).
Figure 10 Temporal path length analysis for the co-authorship network in applied and interdisciplinary physics (PACS number 89).
Particular reference is made to spatial and temporal path dependencies and to the significance of cross-scale and cross-sector effects that impact the innovation process.
The detailed analysis of the spatio-temporal correlation of the yearly geo-referenced data, using different characteristic times of the disease evolution, allowed us to trace the temporal path of the aetiological agent, to locate the sources of infection, and to characterize the dynamics of disease spreading.
This further relative-timing refinement revealed that later points along the temporal path were more affected by the error-correction process.
To assess the importance of the position of a farm within the movement network, two temporal measures were used; the number of weeks with registered movements (AW) to find the farms with above average activity over time, and the fraction of shortest temporal paths a farm was on.
We emphasize that most previous research focused on the first modeling approach (i.e. long-term) whereas only a few studies look at high-resolution temporal paths.
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