570 research outputs found

    Gene length as a regulator for ribosome recruitment and protein synthesis : theoretical insights

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    The authors would like to acknowledge the funding provided by the European Union Seventh Framework Programme [FP7/2007–2013] (NICHE; grant agreement 289384) (LDF). LDF also acknowledges the funding provided by the São Paulo Research Foundation (FAPESP - grant #2015/26989-4). AM was partially funded by the UK Biotechnology and Biological Research Council (BBSRC), through grant BB/N015711/1. LC would like to acknowledge Maria Carmen Romano, Jean Hausser, Marco Cosentino Lagomarsino, Jean-Charles Walter and Norbert Kern for early discussions on this work, and the CNRS for having granted him a “demi-délégation” (2017–18). We would like to dedicate this work in memory of Maxime Clusel and Vladimir Lorman.Peer reviewedPublisher PDFPublisher PD

    Fractal escapes in Newtonian and relativistic multipole gravitational fields

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    We study the planar motion of test particles in gravitational fields produced by an external material halo, of the type found in many astrophysical systems, such as elliptical galaxies and globular clusters. Both the Newtonian and the general-relativistic dynamics are examined, and in the relativistic case the dynamics of both massive and massless particles are investigated. The halo field is given in general by a multipole expansion; we restrict ourselves to multipole fields of pure order, whose Newtonian potentials are homogeneous polynomials in cartesian coordinates. A pure (n)-pole field has (n) different escapes, one of which is chosen by the particle according to its initial conditions. We find that the escape has a fractal dependency on the initial conditions for (n>2) both in the Newtonian and the relativistic cases for massive test particles, but with important differences between them. The relativistic motion of massless particles, however, was found to be regular for all the fields we could study. The box-counting dimension was used in each case to quantify the sensitivity to initial conditions which arises from the fractality of the escape route.Comment: 17 pages, 7 figures, uses REVTE

    Escape from attracting sets in randomly perturbed systems

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    The dynamics of escape from an attractive state due to random perturbations is of central interest to many areas in science. Previous studies of escape in chaotic systems have rather focused on the case of unbounded noise, usually assumed to have Gaussian distribution. In this paper, we address the problem of escape induced by bounded noise. We show that the dynamics of escape from an attractor's basin is equivalent to that of a closed system with an appropriately chosen "hole". Using this equivalence, we show that there is a minimum noise amplitude above which escape takes place, and we derive analytical expressions for the scaling of the escape rate with noise amplitude near the escape transition. We verify our analytical predictions through numerical simulations of a two-dimensional map with noise.Comment: up to date with published versio

    Cato in Libya (Lucan 9)

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    Após a derrota e o assassinato de Pompeu, Catão tenta reorganizar as forças republicanas no Norte da África. Sua luta é política e filosófica. Lucano apresenta esse desafio através dos discursos de Catão e seus interlocutores, bem como através de uma fantástica travessia do deserto líbio. Este trabalho procura mostrar como a forma da narrativa expõe os dilemas das personagens e do próprio narrador diante da crise representada por esse momento. Estudaremos sobretudo a ordenação dos conteúdos, as intervenções do narrador, o emprego das falas em discurso direto e a manipulação da geografia africana.After Pompey’s defeat at Pharsalus and his assassination in Egypt, Cato tries to reorganise the republican forces in North Africa. His fight is a political and philosophical one. Lucan presents this challenge by means of a fantastic crossing of the Libyan desert as well as through speeches by Cato and his interlocutors. This paper attempts to show how the shape of the narrative exposes the dilemmas faced by the characters and the narrator himself in this context of crisis. I shall address the order  of the contents in book 9, the narrator’s interventions, the use of direct speech and the manipulation of African geography

    Signatures of fractal clustering of aerosols advected under gravity

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    Aerosols under chaotic advection often approach a strange attractor. They move chaotically on this fractal set but, in the presence of gravity, they have a net vertical motion downwards. In practical situations, observational data may be available only at a given level, for example at the ground level. We uncover two fractal signatures of chaotic advection of aerosols under the action of gravity. Each one enables the computation of the fractal dimension D0D_{0} of the strange attractor governing the advection dynamics from data obtained solely at a given level. We illustrate our theoretical findings with a numerical experiment and discuss their possible relevance to meteorology.Comment: Accepted for publication in Phys. Rev. E (Rapid Communications
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