First Passage Distributions in a Collective Model of Anomalous Diffusion with Tunable Exponent

We consider a model system in which anomalous diffusion is generated by superposition of underlying linear modes with a broad range of relaxation times. In the language of Gaussian polymers, our model corresponds to Rouse (Fourier) modes whose friction coefficients scale as wavenumber to the power $2-z$. A single (tagged) monomer then executes subdiffusion over a broad range of time scales, and its mean square displacement increases as $t^\alpha$ with $\alpha=1/z$. To demonstrate non-trivial aspects of the model, we numerically study the absorption of the tagged particle in one dimension near an absorbing boundary or in the interval between two such boundaries. We obtain absorption probability densities as a function of time, as well as the position-dependent distribution for unabsorbed particles, at several values of $\alpha$. Each of these properties has features characterized by exponents that depend on $\alpha$. Characteristic distributions found for different values of $\alpha$ have similar qualitative features, but are not simply related quantitatively. Comparison of the motion of translocation coordinate of a polymer moving through a pore in a membrane with the diffusing tagged monomer with identical $\alpha$ also reveals quantitative differences.Comment: LaTeX, 10 pages, 8 eps figure

Pore-blockade Times for Field-Driven Polymer Translocation

We study pore blockade times for a translocating polymer of length $N$, driven by a field $E$ across the pore in three dimensions. The polymer performs Rouse dynamics, i.e., we consider polymer dynamics in the absence of hydrodynamical interactions. We find that the typical time the pore remains blocked during a translocation event scales as $\sim N^{(1+2\nu)/(1+\nu)}/E$, where $\nu\simeq0.588$ is the Flory exponent for the polymer. In line with our previous work, we show that this scaling behaviour stems from the polymer dynamics at the immediate vicinity of the pore -- in particular, the memory effects in the polymer chain tension imbalance across the pore. This result, along with the numerical results by several other groups, violates the lower bound $\sim N^{1+\nu}/E$ suggested earlier in the literature. We discuss why this lower bound is incorrect and show, based on conservation of energy, that the correct lower bound for the pore-blockade time for field-driven translocation is given by $\eta N^{2\nu}/E$, where $\eta$ is the viscosity of the medium surrounding the polymer.Comment: 14 pages, 6 figures, slightly shorter than the previous version; to appear in J. Phys.: Cond. Ma

Translocation of DNA across bacterial membranes.

DNA translocation across bacterial membranes occurs during the biological processes of infection by bacteriophages, conjugative DNA transfer of plasmids, T-DNA transfer, and genetic transformation. The mechanism of DNA translocation in these systems is not fully understood, but during the last few years extensive data about genes and gene products involved in the translocation processes have accumulated. One reason for the increasing interest in this topic is the discussion about horizontal gene transfer and transkingdom sex. Analyses of genes and gene products involved in DNA transfer suggest that DNA is transferred through a protein channel spanning the bacterial envelope. No common model exists for DNA translocation during phage infection. Perhaps various mechanisms are necessary as a result of the different morphologies of bacteriophages. The DNA translocation processes during conjugation, T-DNA transfer, and transformation are more consistent and may even be compared to the excretion of some proteins. On the basis of analogies and homologies between the proteins involved in DNA translocation and protein secretion, a common basic model for these processes is presented

Absence in Bacillus subtilis and Staphylococcus aureus of the sequence-specific deoxyribonucleic acid methylation that is conferred in Escherichia coli K-12 by the dam and dcm enzymes.

Restriction analysis of plasmid pHV14 deoxyribonucleic acid isolated from Escherichia coli K-12, Bacillus subtilis, and staphylococcus aureus with restriction endonucleases MboI, Sau3AI, and EcoRII was used to study the methylation of those nucleotide sequences which in E. coli contain the major portions of N6-methyladenine and 5-methylcytosine. The results showed that neither B. subtilis nor S. aureus methylates deoxyribonucleic acid at the same sites and nucleotides which are recognized and methylated by dam and dcm enzymes in E. coli K-12

Multiple repressor binding sites in the genome of bacteriophage P1.

After digestion of bacteriophage P1 DNA with EcoRI in the presence of P1 repressor, 6 repressor binding sites were identified in 5 of 26 EcoRI fragments. Binding sites were localized by the decreased mobility of DNA fragment-repressor complexes during electrophoresis and by DNase protection ("footprinting") analysis. The repressor binding sites, or operators, comprise a 17-base-pair-long consensus sequence lacking symmetrical elements. Three operators can be related to known genes, whereas the function of the others is still unknown. The mutant P1 bac, rendering ban expression constitutive, is identified as an operator-constitutive mutation of the ban operon

The cytoplasmic DNA-binding protein TraM binds to the inner membrane protein TraD in vitro.

The cytoplasmic protein TraM is one of four essential gene products of the F factor which are involved in DNA transfer after mating pair formation. TraM binds to three specific sites within the oriT region. Besides regulation of its own synthesis, the precise function of TraM during conjugation is not yet known. In the present work, the affinity of TraM to TraD was studied in vitro by an overlay assay and by affinity chromatography. Whether the interaction between TraM and TraD causes a transient or permanent anchoring of the F factor to the site of transfer is discussed. A 35-kDa host membrane protein of yet unknown function also shows affinity to TraM and may be involved in this anchoring process as well

Comparative analysis of nucleotide translocation through protein nanopores using steered molecular dynamics and an adaptive biasing force

The translocation of nucleotide molecules across biological and synthetic nanopores has attracted attention as a next generation technique for sequencing DNA. Computer simulations have the ability to provide atomistic-level insight into important states and processes, delivering a means to develop a fundamental understanding of the translocation event, for example, by extracting the free energy of the process. Even with current supercomputing facilities, the simulation of many-atom systems in fine detail is limited to shorter timescales than the real events they attempt to recreate. This imposes the need for enhanced simulation techniques that expand the scope of investigation in a given timeframe. There are numerous free energy calculation and translocation methodologies available, and it is by no means clear which method is best applied to a particular problem. This article explores the use of two popular free energy calculation methodologies in a nucleotide-nanopore translocation system, using the α-hemolysin nanopore. The first uses constant velocity-steered molecular dynamics (cv-SMD) in conjunction with Jarzynski's equality. The second applies an adaptive biasing force (ABF), which has not previously been applied to the nucleotide-nanpore system. The purpose of this study is to provide a comprehensive comparison of these methodologies, allowing for a detailed comparative assessment of the scientific merits, the computational cost, and the statistical quality of the data obtained from each technique. We find that the ABF method produces results that are closer to experimental measurements than those from cv-SMD, whereas the net errors are smaller for the same computational cost. © 2014 Wiley Periodicals, Inc

A dnaB-like protein of Pseudomonas aeruginosa.

A dnaB-like protein from P. aeruginosa was purified to near homogeneity using as an assay the immunoprecipitation by E. coli dnaB antiserum in a solid-phase. In the chromatographic characteristics including the affinity to immobilized ATP the dnaB-like protein of P. aeruginosa is similar to the dnaB protein of E. coli with the exception that it does not bind to heparin-Sepharose. The dnaB-like protein has a native molecular weight of about 320,000 as determined by glycerol gradient sedimentation. It consists of several identical subunits of molecular weight of 56,000 as measured in a denaturing SDS gel. Associated with the enzyme is a DNA-dependent ATPase- and helicase activity. The dnaB-like protein is similar to the E. coli dnaB protein with regard to the binding of ATP gamma S and the formation of a ternary complex consisting of the enzyme, ATP gamma S, and phi X174 DNA. However, the enzyme of P. aeruginosa is inactive in a phi X174 DNA-dependent in vitro dnaB complementation assay using an E. coli dnaBts extract