Critical packing fraction at the phase separation transition in hard-core mixtures

In this paper, I relate the phase separation transition in binary hard-core mixtures in the limit of small size ratio to a bond percolation transition. It allows to estimate the critical packing fraction at the transition as a function of the size ratio and the composition of the mixture for different shapes of objects. The theoretical predictions are in excellent quantitative agreement with numerical simulations of binary parallel hard squares mixtures.Comment: 4 pages and 1 figur

Cluster algorithm for non-additive hard-core mixtures

In this paper, we present a cluster algorithm for the numerical simulations of non-additive hard-core mixtures. This algorithm allows one to simulate and equilibrate systems with a number of particles two orders of magnitude larger than previous simulations. The phase separation for symmetric binary mixtures is studied for different non-additvities as well as for the Widom-Rowlinson model (B. Widom and J. S. Rowlinson, J. Chem. Phys. 52, 1670 (1970)) in two and three dimensions. The critical densities are determined from finite size scaling. The critical exponents for all the non-additivities are consistent with the Ising universality class.Comment: 11 pages and 9 figures, to be published in J. Chem. Phys. Minor corrections and some references adde

On the Extension Behavior of Helicogenic Polypeptides

The force laws governing the extension behavior of homopolypeptides are obtained from a phenomenological free energy capable of describing the helix-coil transition. Just above the melting temperature of the free chains, T*, the plot of force, f, vs. end-to-end distance, R, exhibits two plateaus associated with coexistence of helical and coil domains. The lower plateau is due to tension induced onset of helix-coil transition. The higher plateau corresponds to the melting of the helices by overextension. Just below T* the f-R plot exhibits only the upper plateau. The f-R plots, the helical fraction, the number of domains and their polydispersity are calculated for two models: In one the helical domains are viewed as rigid rods while in the second they are treated as worm like chains.Comment: 18 pages, 10 figures, to be published in Macromolecule

Storage Capacity of the Tilinglike Learning Algorithm

The storage capacity of an incremental learning algorithm for the parity machine, the Tilinglike Learning Algorithm, is analytically determined in the limit of a large number of hidden perceptrons. Different learning rules for the simple perceptron are investigated. The usual Gardner-Derrida one leads to a storage capacity close to the upper bound, which is independent of the learning algorithm considered.Comment: Proceedings of the Conference Disordered and Complex Systems, King's College, London, July 2000. 6 pages, 1 figure, uses aipproc.st

Polymer translocation through nano-pores in vibrating thin membranes

Polymer translocation is a promising strategy for the next-generation DNA sequencing technologies. The use of biological and synthetic nano-pores, however, still suffers from serious drawbacks. In particular, the width of the membrane layer can accommodate several bases at the same time, making difficult accurate sequencing applications. More recently, the use of graphene membranes has paved the way to new sequencing capabilities, with the possibility to measure transverse currents, among other advances. The reduced thickness of these new membranes poses new questions on the effect of deformability and vibrations of the membrane on the translocation process, two features which are not taken into account in the well-established theoretical frameworks. Here, we make a first step forward in this direction. We report numerical simulation work on a model system simple enough to allow gathering significant insight on the effect of these features on the average translocation time, with appropriate statistical significance. We have found that the interplay between thermal fluctuations and the deformability properties of the nano-pore play a crucial role in determining the process. We conclude by discussing new directions for further work

Rigorous Bounds to Retarded Learning

We show that the lower bound to the critical fraction of data needed to infer (learn) the orientation of the anisotropy axis of a probability distribution, determined by Herschkowitz and Opper [Phys.Rev.Lett. 86, 2174 (2001)], is not always valid. If there is some structure in the data along the anisotropy axis, their analysis is incorrect, and learning is possible with much less data points.Comment: 1 page, 1 figure. Comment accepted for publication in Physical Review Letter

Phase transitions in optimal unsupervised learning

We determine the optimal performance of learning the orientation of the symmetry axis of a set of P = alpha N points that are uniformly distributed in all the directions but one on the N-dimensional sphere. The components along the symmetry breaking direction, of unitary vector B, are sampled from a mixture of two gaussians of variable separation and width. The typical optimal performance is measured through the overlap Ropt=B.J* where J* is the optimal guess of the symmetry breaking direction. Within this general scenario, the learning curves Ropt(alpha) may present first order transitions if the clusters are narrow enough. Close to these transitions, high performance states can be obtained through the minimization of the corresponding optimal potential, although these solutions are metastable, and therefore not learnable, within the usual bayesian scenario.Comment: 9 pages, 8 figures, submitted to PRE, This new version of the paper contains one new section, Bayesian versus optimal solutions, where we explain in detail the results supporting our claim that bayesian learning may not be optimal. Figures 4 of the first submission was difficult to understand. We replaced it by two new figures (Figs. 4 and 5 in this new version) containing more detail

Biopuce à aptamères anti-thrombine (exploration d'une technique alternative de détection)

Du fait de leur haute stabilité et bas coût de production, les aptamères suscitent un intérêt croissant, depuis près de 20 ans, dans le design de biocapteurs en tant qu'élément de reconnaissance idéal. Le but de ce travail de thèse est de démontrer l'intérêt et la pertinence d'un outil tel qu'une biopuce à aptamères, associant les avantages des sondes aptamères à ceux d'une détection par SPRi (Surface Plasmon Resonance imaging), permettant une détection sans marquage et en temps réel d'interactions moléculaires. Dans ce but, deux aptamères anti-thrombine (APT1 = 5 - GGT-TGG-TGT-GGT-TGG -3 et APT2 = 5 -AGT-CCG-TGG-TAG-GGG-AGG-TTG-GGG-TGA-CT-3 ) ont été choisis comme objets d'étude modèles. Ce choix a permis d'orienter différents axes de recherche : utilisés indépendamment comme sondes lors de l'élaboration de notre biopuce, ils ont tout d'abord permis de réaliser une détection cinétique optimisée de la thrombine, avec des performances remarquables pour une détection de ce type, ainsi que le calcul de constantes de dissociation en solution et à la surface des biopuces. Mais au-delà d'un simple biocapteur, la biopuce a également pu être utilisée comme véritable plateforme d'étude de la thrombine et de ses interactions, au sein de structures plus complexes telles que la structure sandwich entre les deux aptamères, ou d'autres interactions impliquant la thrombine en tant qu'acteur de la cascade de coagulation (inhibition de la thrombine par l'antithrombine III et le cofacteur II de l'héparine, transformation de la prothrombine au sein du complexe prothrombinase).For 20 years, aptamers have been raising an increasing interest for biosensor applications as replacements for antibodies, due to their high stability and low cost. The main objective of this Ph.D. thesis is to show the great capacities of an aptamer biochip that combines the advantages of aptamer probes associated with a SPRi (Surface Plasomn Resonance imaging) detection to monitor, in real-time and in a label-free manner, molecular interactions occurring on the surface of the biochip. Two aptamers selected against the thrombin protein (APT1 = 5 - GGT-TGG-TGT-GGT-TGG -3 and APT2 = 5 -AGT-CCG-TGG-TAG-GGG-AGG-TTG-GGG-TGA-CT-3 ) were chosen as models for our study. This choice led to the exploration of different lines of research. First, both aptamers were used independently to develop a kinetic biosensor with remarkable performances for the quantification of thrombin. This tool served to determine independently, and compare, both the solution- and surface-phase affinities of the trombin-APT2 interaction. But more than a simple and effective biosensor, this kind of biochip represents a true platform to study the protein and its interactions within complex structures, such as the sandwich-like architecture with APT1 and APT2, or its interactions with other factors of the coagulation cascade (inhibition of thrombin by antithrombin III and heparin cofactor II, conversion of prothrombin into thrombin by the prothrombinase complex).SAVOIE-SCD - Bib.électronique (730659901) / SudocGRENOBLE1/INP-Bib.électronique (384210012) / SudocGRENOBLE2/3-Bib.électronique (384219901) / SudocSudocFranceF