We study how the orientational correlations of DNA confined to nanochannels depend on the channel diameter D by means of Monte Carlo simulations and a mean-field theory. This theory describes DNA conformations in the experimentally relevant regime where the Flory-de Gennes theory does not apply. We show how local correlations determine the dependence of the end-to-end distance of the DNA molecule upon D. Tapered nanochannels provide the necessary resolution in D to study experimentally how the extension of confined DNA molecules depends upon D. Our experimental and theoretical results are in qualitative agreement.
We show that the problem of describing the conformations of a semiflexible polymer confined to a channel can be mapped onto an exactly solvable model in the so-called extended de Gennes regime. This regime (where the polymer is neither weakly nor strongly confined) has recently been studied intensively experimentally and by means of computer simulations. The exact solution predicts precisely how the conformational fluctuations depend upon the channel width and upon the microscopic parameters characterising the physical properties of the polymer.
Experiments measuring DNA extension in nanochannels are at odds with even the most basic predictions of current scaling arguments for the conformations of confined semiflexible polymers such as DNA. We show that a theory based on a weakly self-avoiding, one-dimensional “telegraph” process collapses experimental data and simulation results onto a single master curve throughout the experimentally relevant region of parameter space and explains the mechanisms at play.
Binding of cAMP receptor protein (CRP) and CytR mediates both positive and negative control of transcription from Escherichia coli deoP2. Transcription is activated by CRP and repressed by a multi-protein CRP⅐CytR⅐CRP complex. The latter is stabilized by cooperative interactions between CRP and CytR. Similar interactions at the other transcriptional units of the CytR regulon coordinate expression of the transport proteins and enzymes required for nucleoside catabolism. A fundamental question in both prokaryotic and eukaryotic gene regulation is how combinatorial mechanisms of this sort regulate differential expression. To understand the combinatorial control mechanism at deoP2, we have used quantitative footprint and gel shift analysis of CRP and CytR binding to evaluate the distribution of ligation states. By comparison to distributions for other CytRregulated promoters, we hope to understand the roles of individual states in differential gene expression. The results indicate that CytR binds specifically to multiple sites at deoP2, including both the well recognized CytR site flanked by CRP1 and CRP2 and also sites coincident with CRP1 and CRP2. Binding to these multiple sites yields both cooperative and competitive interactions between CytR and CRP. Based on these findings we propose that CytR functions as a differential modulator of CRP1 versus CRP2-mediated activation. Additional high affinity specific sites are located at deoP1 and near the middle of the 600-base pair sequence separating P1 and P2. Evaluation of the DNA sequence requirement for specific CytR binding suggests that a limited array of contiguous and overlapping CytR sites exists at deoP2. Similar extended arrays, but with different arrangements of overlapping CytR and CRP sites, are found at the other CytR-regulated promoters. We propose that competition and cooperativity in CytR and CRP binding are important to differential regulation of these promoters.In Escherichia coli, the enzymes and transport proteins required for nucleoside catabolism and recycling are encoded by genes belonging to the CytR regulon. This gene family consists of at least nine unlinked transcriptional units (for review, see Ref. 1). Expression of these transcriptional units is coordinately regulated by the interplay of two transcriptional regulatory proteins, CRP 1 (also referred to as CAP) and the CytR repressor. Transcription is activated in response to intracellular cAMP levels by CRP, repressed by CytR, and induced by cytidine. A few of the transcriptional units are also separately regulated by a second repressor, DeoR (2-4), via an independent mechanism.A key feature of the CytR regulon is that the individual cistrons are differentially expressed. Extents of activation, repression, and induction all vary among the different transcription units (cf. Ref. 5). This is achieved by nesting levels of local repression, mediated by DeoR and CytR, on a more global regulation mediated by CRP. This illustrates a process, common to both E. coli and higher order eukaryotes, in ...
Studies of circular DNA confined to nanofluidic channels are relevant both from a fundamental polymer-physics perspective and due to the importance of circular DNA molecules in vivo. We here observe the unfolding of DNA from the circular to linear configuration as a light-induced double strand break occurs, characterize the dynamics, and compare the equilibrium conformational statistics of linear and circular configurations. This is important because it allows us to determine to which extent existing statistical theories describe the extension of confined circular DNA. We find that the ratio of the extensions of confined linear and circular DNA configurations increases as the buffer concentration decreases. The experimental results fall between theoretical predictions for the extended de Gennes regime at weaker confinement and the Odijk regime at stronger confinement. We show that it is possible to directly distinguish between circular and linear DNA molecules by measuring the emission intensity from the DNA. Finally, we determine the rate of unfolding and show that this rate is larger for more confined DNA, possibly reflecting the corresponding larger difference in entropy between the circular and linear configurations.
The extension of DNA confined to nanochannels has been studied intensively and in detail. However, quantitative comparisons between experiments and model calculations are difficult because most theoretical predictions involve undetermined prefactors, and because the model parameters (contour length, Kuhn length, effective width) are difficult to compute reliably, leading to substantial uncertainties. Here we use a recent asymptotically exact theory for the DNA extension in the "extended de Gennes regime" that allows us to compare experimental results with theory. For this purpose, we performed experiments measuring the mean DNA extension and its standard deviation while varying the channel geometry, dye intercalation ratio, and ionic strength of the buffer. The experimental results agree very well with theory at high ionic strengths, indicating that the model parameters are reliable. At low ionic strengths, the agreement is less good. We discuss possible reasons. In principle, our approach allows us to measure the Kuhn length and the effective width of a single DNA molecule and more generally of semiflexible polymers in solution.
The final step in the biosynthesis of nicotinamideadenine dinucleotide, a major coenzyme in cellular redox reactions and involved in intracellular signaling, is catalyzed by the enzyme nicotinamide mononucleotide adenylyltransferase (NMNAT). The X-ray structure of human NMNAT in complex with nicotinamide mononucleotide was solved by the singlewavelength anomalous dispersion method at a resolution of 2.9 A î . Human NMNAT is a symmetric hexamer whose subunit is formed by a large six-stranded parallel L L-sheet with helices on both sides. Human NMNAT displays a different oligomerization compared to the archaeal enzyme. The protein^nicotinamide mononucleotide interaction pattern provides insight into ligand binding in the human enzyme. ß
We derive scaling relations for the extension statistics and the confinement free energy for a semiflexible polymer confined to a channel with a rectangular cross section. Our motivation is recent numerical results [Gupta et al., J. Chem. Phys. 140, 214901 (2014)] indicating that extensional fluctuations are quite different in rectangular channels compared to square channels. Our results are of direct relevance for interpreting current experiments on DNA molecules confined to nanochannels, as many experiments are performed for rectangular channels with large aspect ratios, while theoretical and simulation results are usually obtained for square channels.
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