Dynamics and Topology of Flexible Chains: Knots in Steady Shear Flows

We use numerical simulations of a bead-spring model chain to investigate the evolution of the conformation of long and flexible elastic fibers in a steady shear flow. In particular, for rather open initial configurations, and by varying a dimensionless elastic parameter, we identify two distinct conformational modes with different final size, shape, and orientation. Through further analysis we identify slipknots in the chain. Finally, we provide examples of initial configurations of an "open" trefoil knot that the flow unknots and then knots again, sometimes repeating several times. These changes in topology should be reflected in changes in bulk rheological and/or transport properties.Comment: 22 pages, 12 figure

Lateral migration of flexible fibers in Poiseuille flow between two parallel planar solid walls

Dynamics of non-Brownian flexible fibers in Poiseuille flow between two parallel planar solid walls is evaluated from the Stokes equations, solved numerically by an accurate multipole code HYDROMULTIPOLE. Fibers migrate towards a critical distance from the wall zc, which depends significantly on the fiber length N and bending stiffness A. Therefore, the calculated values of zc can be used to sort fibers. Three modes of the dynamics are found, depending on a shear-to-bending parameter Gamma. In the first mode, stiff fibers deform only a little and accumulate close to the wall, as the result of a balance between the tendency to drift away from the channel and the repulsive hydrodynamic interaction with the wall. This mechanism is confirmed by simulations in the unbounded Poiseuille flow. In the second mode, flexible fibers deform significantly and accumulate far from the wall. In both modes, the tumbling pattern is repeatable. In the third mode, the fibers are even more curved, and their tumbling is irregular.Comment: 11 pages, 13 figure

Modified ‘one amino acid-one codon’ engineering of high GC content TaqII-coding gene from thermophilic Thermus aquaticus results in radical expression increase

BACKGROUND: An industrial approach to protein production demands maximization of cloned gene expression, balanced with the recombinant host’s viability. Expression of toxic genes from thermophiles poses particular difficulties due to high GC content, mRNA secondary structures, rare codon usage and impairing the host’s coding plasmid replication. TaqII belongs to a family of bifunctional enzymes, which are a fusion of the restriction endonuclease (REase) and methyltransferase (MTase) activities in a single polypeptide. The family contains thermostable REases with distinct specificities: TspGWI, TaqII, Tth111II/TthHB27I, TspDTI and TsoI and a few enzymes found in mesophiles. While not being isoschizomers, the enzymes exhibit amino acid (aa) sequence homologies, having molecular sizes of ~120 kDa share common modular architecture, resemble Type-I enzymes, cleave DNA 11/9 nt from the recognition sites, their activity is affected by S-adenosylmethionine (SAM). RESULTS: We describe the taqIIRM gene design, cloning and expression of the prototype TaqII. The enzyme amount in natural hosts is extremely low. To improve expression of the taqIIRM gene in Escherichia coli (E. coli), we designed and cloned a fully synthetic, low GC content, low mRNA secondary structure taqIIRM, codon-optimized gene under a bacteriophage lambda (λ) P( R ) promoter. Codon usage based on a modified ‘one amino acid–one codon’ strategy, weighted towards low GC content codons, resulted in approximately 10-fold higher expression of the synthetic gene. 718 codons of total 1105 were changed, comprising 65% of the taqIIRM gene. The reason for we choose a less effective strategy rather than a resulting in high expression yields ‘codon randomization’ strategy, was intentional, sub-optimal TaqII in vivo production, in order to decrease the high ‘toxicity’ of the REase-MTase protein. CONCLUSIONS: Recombinant wt and synthetic taqIIRM gene were cloned and expressed in E. coli. The modified ‘one amino acid–one codon’ method tuned for thermophile-coded genes was applied to obtain overexpression of the ‘toxic’ taqIIRM gene. The method appears suited for industrial production of thermostable ‘toxic’ enzymes in E. coli. This novel variant of the method biased toward increasing a gene’s AT content may provide economic benefits for industrial applications