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For the underlying physical PDEs (1) the time scale should be taken as ([t]=T-t).
If the station wants to simulate the extreme peak time, the time scale should be small.
The Gaussian bell is an even function, then the infinite time scale should be symmetric with respect to zero and contain zero.
Indeed, there is no biological reason why the homeostatic time scale should be dramatically shorter than the synaptic modification time scale [21], so in this paper, we relax those restrictions.
Therefore, the key issues we need to deal with in the simulation of blow-up are: 1. how to choose M and τ so that the mesh trajectory speed is as fast as that in (4); 2. how small the time scale should be in order that the MMPDEs can generate smooth meshes and resolve the dramatically increase in the blow-up solution.
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It is valuable to mention that the writing form of the ending point of the interval on time scales should be accurately specified in dealing with different kind of boundary value conditions.
The observed dependences of the position of the peaks with the synaptic characteristic time scales should be confirmed experimentally as well.
Different time scales should be explored (e.g. within-day, between-day, between seasons) to examine whether the magnitude of the temporal correlations differ.
The corresponding time scales should be much faster than some characteristic time scale of interest, then M is to be selected to provide a gap between the slow (time of interest) and fast time scales: (7) τ M τ M + 1 ≪ ε.
According to our hypothesis, the modulation of PC activity over long-time scales should be closely related to that of its paired INs.
The local solar time (LST) scale, shown below the UT scale, should be used with the BCL curves.
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