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With EP now activated (thick black part of the trajectory) and KE silent, (h_{mathit {KE}}) increases, but there is no curve of jump up knees available to reach over the relevant range of ((h_{mathit {KE}},s_{mathrm {dynamic}})) (note the absence of a dark blue curve in the lower right of Fig. 9, analogous to its absence in Fig. 8).
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These constraints may be active along some parts of the trajectory, and the junction between constrained and unconstrained arcs may raise theoretical and numerical issues.
For the purpose of visualization, only part of the trajectories and FOVs are shown in Fig. 15.
For the visualization purpose, only part of the trajectories and FOVs are shown Table 1 Summary of the synthetic dataset Total # of FOVs 0.48M Total # of videos 500 FOV # per second 1 Average length of the video (hours) 0.28 Average camera moving speed (km/h) 5 Average camera rotation speed (degree/s) 11 Viewable distance R (meters) 100 Viewable angle α (degrees) 60.
Burdensome symptoms frequently develop as part of the dementia trajectory and influence quality of life.
However, as already seen, critical illness is one part of the disease trajectory and many hospitals now have "medical emergency" or "rapid response" teams that evaluate patients outside the ICU and provide advice regarding early treatment or additional monitoring of deteriorating patients on the ward, to help avert organ damage and potentially reduce the need for ICU admission.
(C) The curve of saddle-node bifurcations corresponding to the lower fold of the bifurcation diagram (blue), homoclinic bifurcation curve (green) and part of the trajectory (black) generated by (5a)–(5g) in ((na_{i}, ca_{i}))-space.
Note that modeling alternation between percepts (patterns) in networks of differential equations requires finding periodic solutions that alternate periods of dominance; that is, for part of the trajectory one set of nodes has maximum activity and during another part of the trajectory a different set of nodes has maximum activity.
When EP becomes active and the thick black part of the trajectory starts, (h_{mathit {KE}}) decreases, corresponding to the trajectory being in the active phase for KE, near a right branch of the (V_{mathit {KE}}) nullcline.
This is because for most of the time the trajectory is in the basin of attraction of the attractor at low X and Y concentrations (light blue part of the trajectory in Figure 4E).
To do so, we visually verified that the stabilities had reached the stationary state for simulations with the standard code, and then discarded the same transient part of the trajectory for all alternative codes.
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