Co-transport-induced instability of membrane voltage in tip-growing cells

A salient feature of stationary patterns in tip-growing cells is the key role played by the symports and antiports, membrane proteins that translocate two ionic species at the same time. It is shown that these co-transporters destabilize generically the membrane voltage if the two translocated ions diffuse differently and carry a charge of opposite (same) sign for symports (antiports). Orders of magnitude obtained for the time and lengthscale are in agreement with experiments. A weakly nonlinear analysis characterizes the bifurcation

Polarity patterns of stress fibers

Stress fibers are contractile actomyosin bundles commonly observed in the cytoskeleton of metazoan cells. The spatial profile of the polarity of actin filaments inside contractile actomyosin bundles is either monotonic (graded) or periodic (alternating). In the framework of linear irreversible thermodynamics, we write the constitutive equations for a polar, active, elastic one-dimensional medium. An analysis of the resulting equations for the dynamics of polarity shows that the transition from graded to alternating polarity patterns is a nonequilibrium Lifshitz point. Active contractility is a necessary condition for the emergence of sarcomeric, alternating polarity patterns.Comment: 5 pages, 3 figure

Magnetic order in the Ising model with parallel dynamics

It is discussed how the equilibrium properties of the Ising model are described by an Hamiltonian with an antiferromagnetic low temperature behavior if only an heat bath dynamics, with the characteristics of a Probabilistic Cellular Automaton, is assumed to determine the temporal evolution of the system.Comment: 9 pages, 3 figure

Gyromagnetic ratio of rapidly rotating compact stars in general relativity

We numerically calculate equilibrium configurations of uniformly rotating and charged neutron stars, in the case of insulating material and neglecting the electromagnetic forces acting on the equilibrium of the fluid. This allows us to study the behaviour of the gyromagnetic ratio for those objects, when varying rotation rate and equation of state for the matter. Under the assumption of low charge and incompressible fluid, we find that the gyromagnetic ratio is directly proportional to the compaction parameter M/R of the star, and very little dependent on its angular velocity. Nevertheless, it seems impossible to have g=2 for these models with low charge-to-mass ratio, where matter consists of a perfect fluid and where the collapse limit is never reached.Comment: 11 pages, 6 figures, accepted for publication in Classical and Quantum Gravit

Contraction of cross-linked actomyosin bundles

Cross-linked actomyosin bundles retract when severed in vivo by laser ablation, or when isolated from the cell and micromanipulated in vitro in the presence of ATP. We identify the time scale for contraction as a viscoelastic time tau, where the viscosity is due to (internal) protein friction. We obtain an estimate of the order of magnitude of the contraction time tau ~ 10-100 s, consistent with available experimental data for circumferential microfilament bundles and stress fibers. Our results are supported by an exactly solvable, hydrodynamic model of a retracting bundle as a cylinder of isotropic, active matter, from which the order of magnitude of the active stress is estimated.Comment: To be published in Physical Biolog

Relation between coupled map lattices and kinetic Ising models

A spatially one dimensional coupled map lattice possessing the same symmetries as the Miller Huse model is introduced. Our model is studied analytically by means of a formal perturbation expansion which uses weak coupling and the vicinity to a symmetry breaking bifurcation point. In parameter space four phases with different ergodic behaviour are observed. Although the coupling in the map lattice is diffusive, antiferromagnetic ordering is predominant. Via coarse graining the deterministic model is mapped to a master equation which establishes an equivalence between our system and a kinetic Ising model. Such an approach sheds some light on the dependence of the transient behaviour on the system size and the nature of the phase transitions.Comment: 15 pages, figures included, Phys. Rev. E in pres

Nouvelle stratégie antibiofilm par dépôt LBL d’un polyélectrolyte cationique sur la membrane de dialyse anionique AN69

Cette étude présente une stratégie antibiofilm appliquée à une membrane de dialyse, l’AN69; il s’agit de réaliser une modification initiale de la surface de la membrane par un polyélectrolyte cationique, le poly(diallyldiméthyl-ammonium), noté PDADMA, selon un protocole de type « layer-by-layer ». Les caractéristiques physico-chimiques des deux membranes, l’AN69 et l’AN69 modifiée par le PDADMA, sont suivies par la détermination de la modification de la charge de la membrane en mettant en oeuvre des mesures de potentiels d’écoulement et de nombres de transports de Li+, de perméabilité hydraulique et des analyses morphologiques et topographiques effectuées par les microscopies électroniques à balayage et à force atomique, respectivement avant et après exposition à E. coli et à un biofilm marin. Nos résultats montrent tout d’abord un rôle majeur joué par l’attraction électrostatique entre les microorganismes et l’AN69 modifiée par le PDADMA à l’origine d’une adhésion forte des bactéries.Par ailleurs, nous avons mis au point un protocole original d’élimination du biofilm marin. Ce protocole consiste à immerger la membrane modifiée par le PDADMA et encrassée, dans une solution de chlorure de sodium 2M afin d’écranter les charges électrostatiques à l’origine de l’accroche du polyélectrolyte et permettre le décrochage du PDADMA qui entraîne avec lui l’encrassement (constitué de bactéries et autres résidus de biofilm). La recharge d’un film frais de PDADMA permet alors une réutilisation à l’infini de la membrane AN69. La simplicité de ce protocole « de régénération » ouvre la possibilité d’une modification non permanente des membranes de dialyse, dans le but de limiter les problèmes récurrents de biocolmatage et d’augmenter les durées de vie des membranes en milieu marin.The harmful effects generated by biofilms have an extremely high cost. In this study, we were interested in the formation of marine biofilms forming on the wellknown anionic dialysis membrane AN69 used in the reduction of seawater salinity for the preparation of body-washing solutions. We focused our study on two membranes: AN69 and AN69 modified (denoted AN69 mod) by the sorption of poly(diallyldimethyl-ammonium), a cationic polyelectrolyte denoted by PDADMA. Physico-chemical characteristics (membrane charge from Li+ transport and streaming potential measurements, water flux from hydraulic permeability measurements and morphological/topographical measurements using SEM and AFM, respectively) were monitered during the exposure of both membranes to E. coli and natural marine biofouling solutions. Our results showed that the modification of the AN69 membrane by PDADMA its charge and increased its electrostatic affinity for bacteria. Electrostatics forces are, therefore, the main forces responsible for membrane biofouling. Furthermore we developed a simple antibiofilm protocol based on a one-step dipping operation applied to the fouled AN69 membrane which eliminates the PDADMA and associated bacteria. For the first time, all deposited marine bacteria were easily eliminated allowing for the regeneration and sustainable use of the AN69 membrane

Stochastic analysis of different rough surfaces

This paper shows in detail the application of a new stochastic approach for the characterization of surface height profiles, which is based on the theory of Markov processes. With this analysis we achieve a characterization of the scale dependent complexity of surface roughness by means of a Fokker-Planck or Langevin equation, providing the complete stochastic information of multiscale joint probabilities. The method is applied to several surfaces with different properties, for the purpose of showing the utility of this method in more details. In particular we show the evidence of Markov properties, and we estimate the parameters of the Fokker-Planck equation by pure, parameter-free data analysis. The resulting Fokker-Planck equations are verified by numerical reconstruction of conditional probability density functions. The results are compared with those from the analysis of multi-affine and extended multi-affine scaling properties which is often used for surface topographies. The different surface structures analysed here show in details advantages and disadvantages of these methods.Comment: Minor text changes to be identical with the published versio