By (3.2), (3.3) and (3.5), it follows that the Poincaré map (2.7) has a fixed point, that is, model (2.5) has a fixed point, thus, model (2.5) has a positive order-1 periodic solution.
Applying Lemma 3.3 to (5.2), (5.3), and (5.5) yields that has a fixed point, and a fixed point Thus it follows that boundary value problem has at least two positive solutions and.
This fact implies that the generation process is cumulative and becomes saturated at a certain point, thus yielding consistent non-trivial interpretations for truth and membership.
In Snake model, contour initialization is a crucial point; thus, if the initial contour is far from the target, it may not reach the target.
Furthermore, using Corollary 4.2, we know that the limit of b-bistochasticity converges to a fixed point, thus we need to consider several cases.
(C ) Predictions (indicated by numbered arrows) of how manipulating ḡ Na and/or ḡ K may force the system across a tipping point, thus reproducing or reversing neuropathic excitability.
Further discrimination between true and false positives was enabled by using the quantification cycle (Cq) value of a single mutant template as a cut-off point, thus enabling robust distinction between true and false positives.
Then, by the Corollary 8, the map F has a unique fixed point; thus, the boundary value problem (4.2) has a unique solution.
These signals were averaged into a single data point, thus generating one data point for each DV position and a maximum of four data points per pass in the striatum of either hemisphere.
