Plasma waves driven by gravitational waves in an expanding universe

In a Friedmann-Robertson-Walker (FRW) cosmological model with zero spatial curvature, we consider the interaction of the gravitational waves with the plasma in the presence of a weak magnetic field. Using the relativistic hydromagnetic equations it is verified that large amplitude magnetosonic waves are excited, assuming that both, the gravitational field and the weak magnetic field do not break the homogeneity and isotropy of the considered FRW spacetime.Comment: 14 page

Flux and field line conservation in 3--D nonideal MHD flows: Remarks about criteria for 3--D reconnection without magnetic neutral points

We make some remarks on reconnection in plasmas and want to present some calculations related to the problem of finding velocity fields which conserve magnetic flux or at least magnetic field lines. Hereby we start from views and definitions of ideal and non-ideal flows on one hand, and of reconnective and non-reconnective plasma dynamics on the other hand. Our considerations give additional insights into the discussion on violations of the frozen--in field concept which started recently with the papers by Baranov & Fahr (2003a; 2003b). We find a correlation between the nonidealness which is given by a generalized form of the Ohm's law and a general transporting velocity, which is field line conserving.Comment: 9 pages, 2 figures, submitted to Solar Physic

Human IFIT1 inhibits mRNA translation of rubulaviruses but not other members of the Paramyxoviridae family

This work was supported by The Welcome Trust (101788/Z/13/Z, 101792/Z/13/Z) and Medical research council grant (G1100110/1, MR/K024213/1).We have previously shown that IFIT1 is primarily responsible for the antiviral action of interferon (IFN) alpha/beta against parainfluenza virus (PIV) type 5, selectively inhibiting the translation of PIV5 mRNAs. Here we report that whilst PIV2, PIV5 and mumps virus (MuV) are sensitive to IFIT1, non-rubulavirus members of the paramyxoviridae such as PIV3, Sendai virus (SeV) and canine distemper virus (CDV) are resistant. The IFIT1-sensitivity of PIV5 was not rescued by co-infection with an IFIT1-resistant virus (PIV3), demonstrating that PIV3 does not specifically inhibit the antiviral activity of IFIT1 and that the inhibition of PIV5 mRNAs is regulated by cis-acting elements. We developed an in vitro translation system using purified human IFIT1 to further investigate the mechanism of action of IFIT1. Whilst the translation of PIV2, PIV5 and MuV mRNAs were directly inhibited by IFIT1, the translation of PIV3, SeV and CDV mRNAs were not. Using purified human mRNA capping enzymes we show biochemically that efficient inhibition by IFIT1 is dependent upon a 5’ guanosine nucleoside cap (which need not be N7-methylated) and that this sensitivity is partly abrogated by 2’ O methylation of the cap 1 ribose. Intriguingly, PIV5 M mRNA, in contrast to NP mRNA, remained sensitive to inhibition by IFIT1 following in vitro 2’ O methylation, suggesting that other structural features of mRNAs may influence their sensitivity to IFIT1. Thus, surprisingly, the viral polymerases (which have 2’ -O-methyltransferase activity) of rubulaviruses do not protect these viruses from inhibition by IFIT1. Possible biological consequences of this are discussed. Importance Paramyxoviruses cause a wide variety of diseases and yet most of their genes encode for structural proteins and proteins involved in their replication cycle. Thus the amount of genetic information that determines the type of disease paramyxoviruses cause is relatively small. One factor that will influence disease outcomes is how they interact with innate host cell defences, including the interferon (IFN) system. Here we show that different paramyxoviruses interact in distinct ways with cells in a pre-existing IFN-induced antiviral state. Strikingly, all the rubulaviruses tested were sensitive to the antiviral action of ISG56/IFIT1, whilst all the other paramyxoviruses tested were resistant. We developed novel in vitro biochemical assays to investigate the mechanism of action of IFIT1, demonstrating that the mRNAs of rubulaviruses can be directly inhibited by IFIT1 and that this is at least partially because their mRNAs are not correctly methylated.Publisher PDFPeer reviewe

The subconvexity problem for \GL_{2}

Generalizing and unifying prior results, we solve the subconvexity problem for the $L$-functions of \GL_{1} and \GL_{2} automorphic representations over a fixed number field, uniformly in all aspects. A novel feature of the present method is the softness of our arguments; this is largely due to a consistent use of canonically normalized period relations, such as those supplied by the work of Waldspurger and Ichino--Ikeda.Comment: Almost final version to appear in Publ. Math IHES. References updated

Numerical versus analytical accuracy of the formulas for light propagation

Numerical integration of the differential equations of light propagation in the Schwarzschild metric shows that in some situations relevant for practical observations the well-known post-Newtonian solution for light propagation has an error up to 16 microarcsecond. The aim of this work is to demonstrate this fact, identify the reason for this error and to derive an analytical formula accurate at the level of 1 microarcsecond as needed for high-accuracy astrometric projects (e.g., Gaia). An analytical post-post-Newtonian solution for the light propagation for both Cauchy and boundary problems is given for the Schwarzschild metric augmented by the PPN and post-linear parameters $\beta$, $\gamma$ and $\epsilon$. Using analytical upper estimates of each term we investigate which post-post-Newtonian terms may play a role for an observer in the solar system at the level of 1 microarcsecond and conclude that only one post-post-Newtonian term remains important for this numerical accuracy. In this way, an analytical solution for the boundary problem for light propagation is derived. That solution contains terms of both post-Newtonian and post-post-Newtonian order, but is valid for the given numerical level of 1 microarcsecond. The derived analytical solution has been verified using the results of a high-accuracy numerical integration of differential equations of light propagation and found to be correct at the level well below 1 microarcsecond for arbitrary observer situated within the solar system. Furthermore, the origin of the post-post-Newtonian terms relevant for the microarcsecond accuracy is elucidated. We demonstrate that these terms result from an inadequate choice of the impact parameter in the standard post-Newtonian formulas

Molecular basis of RNA guanine-7 methyltransferase (RNMT) activation by RAM

Maturation and translation of mRNA in eukaryotes requires the addition of the 7-methylguanosine cap. In vertebrates, the cap methyltransferase, RNA guanine-7 methyltransferase (RNMT), has an activating subunit, RNMT-Activating Miniprotein (RAM). Here we report the first crystal structure of the human RNMT in complex with the activation domain of RAM. A relatively unstructured and negatively charged RAM binds to a positively charged surface groove on RNMT, distal to the active site. This results in stabilisation of a RNMT lobe structure which co-evolved with RAM and is required for RAM binding. Structure-guided mutagenesis and molecular dynamics simulations reveal that RAM stabilises the structure and positioning of the RNMT lobe and the adjacent α-helix hinge, resulting in optimal positioning of helix A which contacts substrates in the active site. Using biophysical and biochemical approaches, we observe that RAM increases the recruitment of the methyl donor, AdoMet (S-adenosyl methionine), to RNMT. Thus we report the mechanism by which RAM allosterically activates RNMT, allowing it to function as a molecular rheostat for mRNA cap methylation

Searching for the fastest dynamo: Laminar ABC flows

The growth rate of the dynamo instability as a function of the magnetic Reynolds number Rm is investigated by means of numerical simulations for the family of the ABC flows and for 2 different forcing scales. For the ABC flows that are driven at the largest available length scale it is found that as the magnetic Reynolds number is increased: (a) The flow that results first in dynamo is the 2.5D flow for which A=B and C=0 (and all permutations). (b) The second type of flow that results in dynamo is the one for which A=B=2C/5 (and permutations). (c) The most symmetric flow A=B=C is the third type of flow that results in dynamo. (d) As Rm is increased, the A=B=C flow stops being a dynamo and transitions from a local maximum to a third-order saddle point. (e) At larger Rm the A=B=C flow re-establishes its self as a dynamo but remains a saddle point. (f) At the largest examined Rm the growth rate of the 2.5D flows starts to decrease, the A=B=C flow comes close to a local maximum again and the flow A=B=2C/5 (and permutations) results in the fastest dynamo with growth rate $\gamma~0.12$ at the largest examined Rm. For the ABC flows that are driven at the second largest available length scale it is found that (a) the 2.5D flows A=B, C=0 (and permutations) are again the first flows that result in dynamo with a decreased onset. (b) The most symmetric flow A=B=C is the second type of flow that results in dynamo. It is and remains a local maximum. (c) At larger Rm the flow A=B=2C/5 (and permutations) appears as the third type of flow that results in dynamo. As Rm is increased it becomes the flow with the largest growth rate. The growth rates appear to have some correlation with the Lyaponov exponents but constructive re-folding of the field lines appears equally important in determining the fasted dynamo flow

Ultrametric Logarithm Laws, II

We prove positive characteristic versions of the logarithm laws of Sullivan and Kleinbock-Margulis and obtain related results in Metric Diophantine Approximation.Comment: submitted to Montasefte Fur Mathemati