Tail contributions

In addition to the aforementioned slope and variance methods for estimating the dispersion parameter, it is possible to use transfer functions in the analysis of residence time distribution curves. This approach reduces the error in the variance approach that arises from the tails of the concentration versus time curves. These tails contribute significantly to the variance and can be responsible for significant errors in the determination of Q)L. 

There are several inter-connections to be mentioned here. The first one concerns the extreme state. If h is the set of two particle determinants and the AGP wave function is constructed from gt, see Coleman [27] for the exact condition for the extreme state, the two-matrix (save the tail contribution from the remaining pair configurations) can be expressed as... 

Applying the same argument to the extreme case, Eqs. (30) and (31), including also the tail contribution , one finds the surprising result that... 

AU annexins are composed of two principal domains, the conserved C-terminal core and the N-terminal tail unique to their subfamily. The length of the N-terminal fail is shorter than 40 residues in most of the annexins with the exception of the Al and All subfamihes, which have up to 160 and 195 residues, respectively. The current known protein protein interaction with annexin occurs at the N-terminal tail. The diversity of this small N-terminal tail contributes at least partially to the diversity of aimexin functions. ... 

Time resolved measurements of ultrafast proton dissociation in the excited state are challenging these classical views [8-13]. Our picosecond fluorescence experiments have shown that the kinetic scheme, eq 1, does not accurately describe the kinetic data. Firstly, the R OH fluorescence decays asymptotically as a power law, rather than exponentially [10]. The area under the non-exponential tail contributes to the observed quantum yield. In addition, there is a marked salt effect on the elementary dissociation process ... 

Some authors calculated the distribution of loops and tails and mean-square thickness of the adsorption layer and mean lengths and number of trains, loops and tails. The mean-square of the thickness depends on the size of loops and length of tails. Contribution of tails was discussed earlier. Tail segments are concentrated preferentially in the adsorption layer and their distribution is a function of concentration profile, parameters of thermodynamic interactions, and solution concentration. It was found that with increas-... 

The tail contribution in Eq. (9) can be computed in a similar manner. First we note that the tail segments are uniformly distributed in an amorphous system and therefore the mean number of tails in the sphere is... 

On adsorption, polymers change their conformation. Figure 7.9 illustrates various modes of polymer adsorption with only tails (a) or with loops, tails and trains (b). The tails contribute very little to the adsorbed amount but they determine the thickness of the adsorbed layer. A measure of the size (extension) of the tails is the so-called radius of gyration, Rg (see Figure 7.10). This is a very important concept, as two particles repel each other and thus we have steric stabilization only when the distance is about 2Rg (or lower), but the steric force is essentially zero at higher distances. 

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