But when we carry out the partial fraction expansion, as I've done below, we would now associate with this pole a region of convergence to the right.
And in particular, the pole vector associated with the pole in the upper half plane will be its shortest in the vicinity at a frequency in the vicinity of that pole and so, for that frequency, then, the frequency response will peak and we see that here.
And so what we see then is that for a second order system, the behavior of the resonance basically is associated with the pole locations, the frequency of the resonance associated with the vertical position of the poles, and the sharpness of the resonance associated with the real part of the poles in other words, their position closer or further away from the j omega axis.
While in algae, longer half-spindles were associated with the pole containing fewer centrioles, in nematodes, longer half-spindles emanated from the pole containing more centrioles.
In 2 1 cells, we found two half-spindles of unequal length, with a shorter half-spindle associated with the pole containing one centriole (median R = 1.12, p < 0.0001 in Mann–Whitney U test compared to symmetric distribution; R > 1.15 in 42.9% of the cells; Figure 1D).
Those effects occur at the frequencies close to the nearly real scattering resonance poles, and the forms of wave localization near the notches are predetermined by the eigenforms associated with these poles.
To further corroborate that GFP-PBP-2B does not disassemble but instead remains associated with the poles, we made use of an FtsZ-depletable strain, in which expression of FtsZ can be induced with IPTG.
Closer inspection of individual time frames, however, showed that kinetochores were not always associated with the poles, but instead they often detached from the poles and even from microtubules (see the top right corner, yellow arrowheads).
This suggests that the divisome competes with the pole for SpoIIE binding and that SpoIIE is not free to associate with the pole until the divisome is disassembled.
