Green function recombination

If recombination of ions not only into the exciplex but also to the ground state is contact, then the latter can be accounted for by omitting W(r)G in Eq. (3.235) and including term kcG (k, = J WR(r)cfr) in the rhs of Eq. (3.236). This is the total contact approximation, which is better suited for the transfer of protons than electrons. It allows easy expression of the Green function G(c>, t) through the Green function of the free diffusion Go(c>, f) ... 

Equations (3.420)-(3.421) constitute the formal basis of the extended unified theory, which accounts for the nonlinear effects resulting from the bimolecular production and recombination of ions. Only one step remains to be taken to go from UT to its simplified, Markovian version, which describes the asymptotic relaxation of the system long after the pulse. Using the Green function of Eq. (3.419), one can represent the space integral of its solution in the following form ... 

Very much more effort on the subject of diffusion-limited reaction rates has been devoted to theoretical aspects, most of which has been with the aid of the diffusion equation. Indeed, so much has now been written that there are many articles which have not even been mentioned here. Yet it should be emphasised that much of what can be usefully said about the theoretical analysis of reaction rates with the diffusion equation has been said, sometimes several times, for which the author takes some share of responsibility Both the subjects of homogeneous reaction and pair recombination have been exhaustively analysed. Because the molecular pair approach is identical to the diffusion equation analysis, if the Noyes h(t) expression is approximated by a diffusive Green s function, no further effort on the molecular pair approach is really necessary. 

Since the complications due to solvent structure have already been discussed, the remainder of this chapter is mainly devoted to a discussion of the complications introduced into the theory of reaction rates when the collision of solvent molecules does not lead to a complete loss of memory of the molecules about their former velocity. Nevertheless, while such effects are undoubtedly important over some time scale, the differences noted by Kapral and co-workers [37, 285, 286] between the rate kernel for reaction estimated from the diffusion and reaction Green s function and their extended analysis were rather small over times of 10 ps or more (see Chap. 8, Sect. 3.3 and Fig. 40). At this stage, it is a moot point whether the correlation of solvent velocity before collision with that after collision has a significant and experimentally measurable effect on the rate of reaction. The time scale of the loss of velocity correlation is typically less than 1 ps, while even rapid recombination of radicals formed in close proximity to each other occurs over times of 10 ps or more (see Chap. 6, Sect. 3.3). 

The two-time Green s function method has the advantage of being applicable to many atomic physics problems, such as the recombination of an electron with an ion [20], the shape of spectral lines [21] and the effect of nuclear recoil on atomic energy levels [22,23]. 

Imaging assays (DiscoveRx PathHunter, Bioimage) Can use recombinant green fluorescent or yellow fluorescent fusion proteins to measure kinase-stimulated signalling events such as protein translocation to nucleus or membrane to cytosolic translocations Biological assay can present kinase in native form examines functional consequences of test compound Difficult to develop lower throughput Nickischer (2006) Traskjr (2006)... 

Gas is equivalent to the continuous Green s function and yields a good approximation for G m) even for small For p rh) = 5 one gets the asymptotical expression for the recombination probability rjas i) = Vr = Reff/l, with... 

Figure 2 Interplay between HR and NHR. (a) When a DSB occurs (top), it can be resected and used to copy a donor chromosome (red) during HR (left) or rejoined directly (right), sometimes inaccurately (jagged line). HR and NHR lead to recombination by crossover resolution and engagement of a different DSB (green), respectively (bottom), (b) A timeline shows a period during which NHEj may be iteratively attempted before DSB resection after which, HR is attempted. Alternative pathways (below) might lead to rejoining, but these are often less efficient and uncommon when the above pathways are functioning normally.

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