2013
DOI: 10.1103/physreve.88.012702
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Simplified biased random walk model for RecA-protein-mediated homology recognition offers rapid and accurate self-assembly of long linear arrays of binding sites

Abstract: Inspired by RecA-protein-based homology recognition, we consider the pairing of two long linear arrays of binding sites. We propose a fully reversible, physically realizable biased random walk model for rapid and accurate self-assembly due to the spontaneous pairing of matching binding sites, where the statistics of the searched sample are included. In the model, there are two bound conformations, and the free energy for each conformation is a weakly nonlinear function of the number of contiguous matched bound… Show more

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Cited by 19 publications
(32 citation statements)
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“…Interestingly, previous theoretical studies have suggested that the net change in binding free energy for each correctly paired triplet should be on the order of thermal energy (42)(43)(44) and that the fidelity of base triplet pairing during DNA strand exchange would benefit from relatively low changes in binding free energy for each triplet step (42)(43)(44). These studies have also suggested that the structural deformation necessary to extend B-DNA to match the much longer extension of RS-DNA may enhance the ability of the presynaptic complex to reject nonhomologous sequences during the homology search (44 -46).…”
Section: Discussionmentioning
confidence: 99%
“…Interestingly, previous theoretical studies have suggested that the net change in binding free energy for each correctly paired triplet should be on the order of thermal energy (42)(43)(44) and that the fidelity of base triplet pairing during DNA strand exchange would benefit from relatively low changes in binding free energy for each triplet step (42)(43)(44). These studies have also suggested that the structural deformation necessary to extend B-DNA to match the much longer extension of RS-DNA may enhance the ability of the presynaptic complex to reject nonhomologous sequences during the homology search (44 -46).…”
Section: Discussionmentioning
confidence: 99%
“…If the first ~9 bases in C have all flipped and paired with I, the strand exchange product becomes metastable [20,28] and homology recognition proceeds much more slowly as an iterative search in units of successive bp triplets [29]. The latter process can be modeled as a biased random walk (BRW) [30]. We will refer to the initial sequence-independent stage as pre-BRW.…”
Section: Modelmentioning
confidence: 99%
“…The importance of length-dependent sequence recognition as a means for rapidly rejecting incorrect sequences was first recognized by Charles Thomas, Jr. (60), who in 1966 suggested that it would be beneficial for recombination to take place between nonrepetitive minimal recognition lengths composed of "words" that can be uniquely identified within the genome, and these original concepts have been further elaborated by several groups (55,(61)(62)(63). Simply put, longer sequences are less common than shorter sequences, so there is a benefit to search for these longer sequences, which will also have a higher probability of being the correct homologous target (Fig.…”
Section: Theoretical Considerationsmentioning
confidence: 99%