Tissue fusion over non-adhering surfaces

Tissue fusion eliminates physical voids in a tissue to form a continuous structure and is central to many processes in development and repair. Fusion events in vivo, particularly in embryonic development, often involve the purse-string contraction of a pluricellular actomyosin cable at the free edge. However in vitro, adhesion of the cells to their substrate favors a closure mechanism mediated by lamellipodial protrusions, which has prevented a systematic study of the purse-string mechanism. Here, we show that monolayers can cover well-controlled mesoscopic non-adherent areas much larger than a cell size by purse-string closure and that active epithelial fluctuations are required for this process. We have formulated a simple stochastic model that includes purse-string contractility, tissue fluctuations and effective friction to qualitatively and quantitatively account for the dynamics of closure. Our data suggest that, in vivo, tissue fusion adapts to the local environment by coordinating lamellipodial protrusions and purse-string contractions

An HH theorem for Boltzmann's equation for the Yard-Sale Model of asset exchange

In recent work, Boltzmann and Fokker-Planck equations were derived for the "Yard-Sale Model" of asset exchange. For the version of the model without redistribution, it was conjectured, based on numerical evidence, that the time-asymptotic state of the model was oligarchy -- complete concentration of wealth by a single individual. In this work, we prove that conjecture by demonstrating that the Gini coefficient, a measure of inequality commonly used by economists, is an $H$ function of both the Boltzmann and Fokker-Planck equations for the model.Comment: 10 pages, 1 figure, submitted to proceedings of the 23rd conference on the Discrete Simulation of Fluid Dynamics (DSFD 2014

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

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

Escape of the martian protoatmosphere and initial water inventory

Latest research in planet formation indicate that Mars formed within a few million years (Myr) and remained a planetary embryo that never grew to a more massive planet. It can also be expected from dynamical models, that most of Mars' building blocks consisted of material that formed in orbital locations just beyond the ice line which could have contained ~0.1-0.2 wt. % of H2O. By using these constraints, we estimate the nebula-captured and catastrophically outgassed volatile contents during the solidification of Mars' magma ocean and apply a hydrodynamic upper atmosphere model for the study of the soft X-ray and extreme ultraviolet (XUV) driven thermal escape of the martian protoatmosphere during the early active epoch of the young Sun. The amount of gas that has been captured from the protoplanetary disk into the planetary atmosphere is calculated by solving the hydrostatic structure equations in the protoplanetary nebula. Depending on nebular properties such as the dust grain depletion factor, planetesimal accretion rates and luminosities, hydrogen envelopes with masses >=3x10^{19} g to <=6.5x10^{22} g could have been captured from the nebula around early Mars. Depending of the before mentioned parameters, due to the planets low gravity and a solar XUV flux that was ~100 times stronger compared to the present value, our results indicate that early Mars would have lost its nebular captured hydrogen envelope after the nebula gas evaporated, during a fast period of ~0.1-7.5 Myr. After the solidification of early Mars' magma ocean, catastrophically outgassed volatiles with the amount of ~50-250 bar H2O and ~10-55 bar CO2 could have been lost during ~0.4-12 Myr, if the impact related energy flux of large planetesimals and small embryos to the planet's surface lasted long enough, that the steam atmosphere could have been prevented from condensing. If this was not the case... (continued)Comment: 47 pages, 10 figures, 3 tables, submitted to PS

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

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

Nonlinear oscillator with parametric colored noise: some analytical results

The asymptotic behavior of a nonlinear oscillator subject to a multiplicative Ornstein-Uhlenbeck noise is investigated. When the dynamics is expressed in terms of energy-angle coordinates, it is observed that the angle is a fast variable as compared to the energy. Thus, an effective stochastic dynamics for the energy can be derived if the angular variable is averaged out. However, the standard elimination procedure, performed earlier for a Gaussian white noise, fails when the noise is colored because of correlations between the noise and the fast angular variable. We develop here a specific averaging scheme that retains these correlations. This allows us to calculate the probability distribution function (P.D.F.) of the system and to derive the behavior of physical observables in the long time limit