Salerno's model of DNA reanalysed: could solitons have biological significance?

We investigate the sequence-dependent behaviour of localised excitations in a toy, nonlinear model of DNA base-pair opening originally proposed by Salerno. Specifically we ask whether ``breather'' solitons could play a role in the facilitated location of promoters by RNA polymerase. In an effective potential formalism, we find excellent correlation between potential minima and {\em Escherichia coli} promoter recognition sites in the T7 bacteriophage genome. Evidence for a similar relationship between phage promoters and downstream coding regions is found and alternative reasons for links between AT richness and transcriptionally-significant sites are discussed. Consideration of the soliton energy of translocation provides a novel dynamical picture of sliding: steep potential gradients correspond to deterministic motion, while ``flat'' regions, corresponding to homogeneous AT or GC content, are governed by random, thermal motion. Finally we demonstrate an interesting equivalence between planar, breather solitons and the helical motion of a sliding protein ``particle'' about a bent DNA axis.Comment: Latex file 20 pages, 5 figures. Manuscript of paper to appear in J. Biol. Phys., accepted 02/09/0

STABILITY PROPERTIES OF THE GRADIENT PROJECTION METHOD WITH APPLICATIONS TO THE BACKPROPAGATION ALGORITHM

Convergence properties of the generalized gradient projection algorithm in the presence of data perturbations are investigated. It is shown that every trajectory of the method is attracted, in a certain sense, to an ?-stationary set of the problem, where ? depends on the magnitude of the perturbations. Estimates for the attraction sets of the iterates are given in the general (nonsmooth and nonconvex) case. In the convex case, our results imply convergence to an ?-optimal set. The results are further strengthened for weakly short and strong convex problems. Convergence of the parallel algorithm in the case of the additive objective function is established. One of the principal applications of our results is the stability analysis of the classical backpropagation algorithm for training artificial neural networks

RNA polymerase-dependent mechanism for the stepwise T7 phage DNA transport from the virion into E. coli.

The influence of rifampicin, streptolydigin, tetracycline and chloramphenicol on phage DNA transport from the T7 virion into the E. coli cell was studied. It has been found that the DNA transport proceeds in at least three stages. During the initial stage the phage injects into the host cell the left approximately 10 per cent of its DNA molecule. The entrance of the next 50 per cent of 17 DNA molecule is blocked by inhibitors which block transcription but not translation. Moreover, the entrance time of this part of the T7 DNA increases in the case of the T7 mutant D111 (which contains a deletion of the A2 and A3 promoters) and decreases in the case of the D53 mutant (which contains a deletion in the region of the early gene transcription terminator). It would appear, that the second stage of the phage DNA transport is tightly coupled with its transcription and that a mechanical function is carried out by RNA polymerase. The translation inhibitors completely block the entrance of the remaining 40 per cent of the 17 DNA molecule (class III genes) into the host cell. It would appear that some class I and (or) II gene product(s) are obligatory components of the final stage of 17 DNA transport. Some probable consequences of this virus DNA transport model as well as its agreement with the functional structure of T7 chromosome and with T7 development are discussed

On the promoter complex formation rate of E. coli RNA polymerases with T7 phage DNA.

Influence of ionic strength on the kinetics of the promoter complex formation between E. coli RNA polymerase and T7 phage DNA was investigated using a membrane filter assay. The enzyme-promoter association rate constant was determined. It varies from 10(9) to 3 x 10(7) M-1 sec-1 when the ionic strength is changed from zero to 0.15 M NaCl. Basing on the theoretical analysis of experimental data obtained the model for the promoter site selection assuming the enzyme sliding along the DNA is discussed