Publications (104)263.61 Total impact
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ABSTRACT: We derive a general meanfield theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a MartinSiggiaRose (MSR) type description of the exact manychain dynamics. A saddle point approximation to the generating functional, involving conditions where the MSR action is stationary with respect to a collective density field ρ and a conjugate MSR response field ϕ, produces the desired dynamical meanfield theory. Besides clarifying the proper structure of meanfield theory out of equilibrium, our results have implications for numerical studies of polymer dynamics involving hybrid particlefield simulation techniques such as the singlechain in meanfield method.The Journal of Chemical Physics 02/2014; 140(8):084902. · 3.16 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We introduce a stable and efficient complex Langevin (CL) scheme to enable the first direct numerical simulations of the coherentstates (CS) formulation of polymer field theory. In contrast with Edwards' wellknown auxiliaryfield (AF) framework, the CS formulation does not contain an embedded nonlinear, nonlocal, implicit functional of the auxiliary fields, and the action of the field theory has a fully explicit, semilocal, and finiteorder polynomial character. In the context of a polymer solution model, we demonstrate that the new CSCL dynamical scheme for sampling fluctuations in the space of coherent states yields results in good agreement with nowstandard AFCL simulations. The formalism is potentially applicable to a broad range of polymer architectures and may facilitate systematic generation of trial actions for use in coarsegraining and numerical renormalizationgroup studies.The Journal of Chemical Physics 01/2014; 140(2):024905. · 3.16 Impact Factor 
Article: Dipolar PoissonBoltzmann approach to ionic solutions: A mean field and loop expansion analysis.
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ABSTRACT: We study the variation of the dielectric response of ionic aqueous solutions as function of their ionic strength. The effect of salt on the dielectric constant appears through the coupling between ions and dipolar water molecules. On a meanfield level, we account for any internal charge distribution of particles. The dipolar degrees of freedom are added to the ionic ones and result in a generalization of the PoissonBoltzmann (PB) equation called the Dipolar PB (DPB). By looking at the DPB equation around a fixed pointlike ion, a closedform formula for the dielectric constant is obtained. We express the dielectric constant using the "hydration length" that characterizes the hydration shell of dipoles around ions, and thus the strength of the dielectric decrement. The DPB equation is then examined for three additional cases: mixture of solvents, polarizable medium, and ions of finite size. Employing fieldtheoretical methods, we expand the Gibbs freeenergy to first order in a loop expansion and calculate selfconsistently the dielectric constant. For pure water, the dipolar fluctuations represent an important correction to the meanfield value and good agreement with the water dielectric constant is obtained. For ionic solutions we predict analytically the dielectric decrement that depends on the ionic strength in a nonlinear way. Our prediction fits rather well a large range of concentrations for different salts using only one fit parameter related to the size of ions and dipoles. A linear dependence of the dielectric constant on the salt concentration is observed at low salinity, and a noticeable deviation from linearity can be seen for ionic strength above 1 M, in agreement with experiments.The Journal of Chemical Physics 10/2013; 139(16):164909. · 3.16 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: In 1969, Edwards and Freed adapted the ``coherent state'' methods employed in the second quantization formalism of quantum manybody theory to study polymer networks. Since its introduction into polymer science, this formalism has been largely neglected and to our knowledge, has never been applied as a basis for numerical simulations, even for linear polymers. However, in contrast to the Edwards auxiliaryfield framework, this alternative polymer field theory has several attractive features, including an action or effective Hamiltonian with an explicit, finiteorder, and semilocal polynomial character. We thus revisited the CS formalism and show that these characteristics have advantages both for analytical and numerical studies of linear polymers at equilibrium. For this purpose, we developed a new Complex Langevin sampling scheme that allows for simulations within the CS formalism with stable and efficient numerical characteristics. We anticipate that this methodology will facilitate efficient simulations of a wide range of systems, including complicated branched and networked polymers and liquid crystalline polymers.03/2013;  [show abstract] [hide abstract]
ABSTRACT: Amyloid proteins aggregate into polymorphic fibrils that damage tissues of the brain, nerves, and heart. Experimental and computational studies have examined the structural basis and the nucleation of short fibrils, but the ability to predict and precisely quantify the stability of larger aggregates has remained elusive. We established a complete classification of fibril shapes and developed a tool called CreateFibril to build such complex, polymorphic, modular structures automatically. We applied stability landscapes, a technique we developed to reveal reliable fibril structural parameters, to assess fibril stability. CreateFibril constructed HETs, Aβ, and amylin fibrils up to 17 nm in length, and utilized a novel dipolar solvent model that captured the effect of dipoledipole interactions between water and very large molecular systems to assess their aqueous stability. Our results validate experimental data for HETs and Aβ, and suggest novel (to our knowledge) findings for amylin. In particular, we predicted the correct structural parameters (rotation angles, packing distances, hydrogen bond lengths, and helical pitches) for the one and three predominant HETs protofilaments. We reveal and structurally characterize all known Aβ polymorphic fibrils, including structures recently classified as wrapped fibrils. Finally, we elucidate the predominant amylin fibrils and assert that native amylin is more stable than its amyloid form. CreateFibril and a database of all stable polymorphic fibril models we tested, along with their structural energy landscapes, are available at http://amyloid.cs.mcgill.ca.Biophysical Journal 02/2013; 104(3):68393. · 3.67 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We present McGenus, an algorithm to predict RNA secondary structures with pseudoknots. The method is based on a classification of RNA structures according to their topological genus. McGenus can treat sequences of up to 1000 bases and performs an advanced stochastic search of their minimum free energy structure allowing for nontrivial pseudoknot topologies. Specifically, McGenus uses a Monte Carlo algorithm with replica exchange for minimizing a general scoring function which includes not only free energy contributions for pair stacking, loop penalties, etc. but also a phenomenological penalty for the genus of the pairing graph. The good performance of the stochastic search strategy was successfully validated against TT2NE which uses the same free energy parametrization and performs exhaustive or partially exhaustive structure search, albeit for much shorter sequences (up to 200 bases). Next, the method was applied to other RNA sets, including an extensive tmRNA database, yielding results that are competitive with existing algorithms. Finally, it is shown that McGenus highlights possible limitations in the free energy scoring function. The algorithm is available as a web server at http://ipht.cea.fr/rna/mcgenus.php.Nucleic Acids Research 12/2012; · 8.28 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: Finding affordable ways of generating highdensity ordered nanostructures that can be transferred to a substrate is a major challenge for industrial applications like memories or optical devices with high resolution features. In this work, we report on a novel technique to direct selfassembled structures of block copolymers by NanoImprint Lithography. Surface energy of a reusable mold and nanorheology are used to organize the copolymers in defectfree structures over tens of micrometers in size. Versatile and controlled inplane orientations of about 25 nm halfperiod lamellar nanostructures are achieved and, in particular, include applications to circular tracks of magnetic reading heads.03/2012;  [show abstract] [hide abstract]
ABSTRACT: The generation of defectfree polymer nanostructures by nanoimprinting methods is described. Longrange nanorheology and shorterrange surface energy effects can be efficiently combined to provide alignment of copolymer lamellae over several micrometers. As an example, a perpendicular organization with respect to circular tracks is shown, demonstrating the possibility of writing ordered radial nanostructures over large distances.Advanced Materials 03/2012; 24(15):19525. · 14.83 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We study the variation of the dielectric response of a dielectric liquid (e.g. water) when a salt is added to the solution. Employing fieldtheoretical methods we expand the Gibbs freeenergy to first order in a loop expansion and calculate selfconsistently the dielectric constant. We predict analytically the dielectric decrement which depends on the ionic strength in a complex way. Furthermore, a qualitative description of the hydration shell is found and is characterized by a single length scale. Our prediction fits rather well a large range of concentrations for different salts using only one fit parameter related to the size of ions and dipoles.Physical Review Letters 01/2012; 108(22). · 7.94 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We study block copolymers (BCP) on patterned substrates, where the top polymer film surface is not constrained but is a free interface that adapts its shape selfconsistently. In particular, we investigate the combined effect of the free interface undulations with the wetting of the BCP film as induced by nanopatterned substrates. For a finite volume of BCP material, we find equilibrium droplets composed of coexisting perpendicular and parallel lamellar domains. The selfassembly of BCP on topographic patterned substrates was also investigated and it was found that the free interface induces mixed morphologies of parallel and perpendicular domains coupled with a nonflat free interface. In both cases, the free interface relaxes the strong constraints that would otherwise be imposed by a fixed top boundary (which is commonly used in simulations), and affects strongly the BCP ordering. Our study has some interesting consequences for experimental setups of graphoepitaxy and nanoimprint lithography.Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 09/2011;  [show abstract] [hide abstract]
ABSTRACT: We present an extension of the selfconsistent mean field theory for protein sidechain modeling in which solvation effects are included based on the PoissonBoltzmann (PB) theory. In this approach, the protein is represented with multiple copies of its side chains. Each copy is assigned a weight that is refined iteratively based on the mean field energy generated by the rest of the protein, until selfconsistency is reached. At each cycle, the variational free energy of the multicopy system is computed; this free energy includes the internal energy of the protein that accounts for vdW and electrostatics interactions and a solvation free energy term that is computed using the PB equation. The method converges in only a few cycles and takes only minutes of central processing unit time on a commodity personal computer. The predicted conformation of each residue is then set to be its copy with the highest weight after convergence. We have tested this method on a database of hundred highly refined NMR structures to circumvent the problems of crystal packing inherent to xray structures. The use of the PBderived solvation free energy significantly improves prediction accuracy for surface side chains. For example, the prediction accuracies for χ(1) for surface cysteine, serine, and threonine residues improve from 68%, 35%, and 43% to 80%, 53%, and 57%, respectively. A comparison with other sidechain prediction algorithms demonstrates that our approach is consistently better in predicting the conformations of exposed side chains.The Journal of Chemical Physics 08/2011; 135(5):055104. · 3.16 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: Small Angle Xray Scattering (SAXS) techniques are becoming more and more useful for structural biologists and biochemists, thanks to better access to dedicated synchrotron beamlines, better detectors and the relative easiness of sample preparation. The ability to compute the theoretical SAXS profile of a given structural model, and to compare this profile with the measured scattering intensity, yields crucial structural informations about the macromolecule under study and/or its complexes in solution. An important contribution to the profile, besides the macromolecule itself and its solventexcluded volume, is the excess density due to the hydration layer. AquaSAXS takes advantage of recently developed methods, such as AquaSol, that give the equilibrium solvent density map around macromolecules, to compute an accurate SAXS/WAXS profile of a given structure and to compare it to the experimental one. Here, we describe the interface architecture and capabilities of the AquaSAXS web server (http://lorentz.dynstr.pasteur.fr/aquasaxs.php).Nucleic Acids Research 06/2011; 39(Web Server issue):W1849. · 8.28 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: Loops are essential secondary structure elements in folded DNA and RNA molecules and proliferate close to the melting transition. Using a theory for nucleic acid secondary structures that accounts for the logarithmic entropy c ln m for a loop of length m, we study homopolymeric singlestranded nucleic acid chains under external force and varying temperature. In the thermodynamic limit of a long strand, the chain displays a phase transition between a lowtemperature/lowforce compact (folded) structure and a hightemperature/highforce molten (unfolded) structure. The influence of c on phase diagrams, critical exponents, melting, and force extension curves is derived analytically. For vanishing pulling force, only for the limited range of loop exponents 2 < c ≲ 2.479 a melting transition is possible; for c ≤ 2 the chain is always in the folded phase and for 2.479 ≲ c always in the unfolded phase. A forceinduced melting transition with singular behavior is possible for all loop exponents c < 2.479 and can be observed experimentally by singlemolecule force spectroscopy. These findings have implications for the hybridization or denaturation of doublestranded nucleic acids. The PolandScheraga model for nucleic acid duplex melting does not allow base pairing between nucleotides on the same strand in denatured regions of the double strand. If the sequence allows these intrastrand base pairs, we show that for a realistic loop exponent c ≈ 2.1 pronounced secondary structures appear inside the single strands. This leads to a lower melting temperature of the duplex than predicted by the PolandScheraga model. Further, these secondary structures renormalize the effective loop exponent [Formula: see text], which characterizes the weight of a denatured region of the double strand, and thus affect universal aspects of the duplex melting transition.The European Physical Journal E 06/2011; 34(6):115. · 1.82 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We present TT2NE, a new algorithm to predict RNA secondary structures with pseudoknots. The method is based on a classification of RNA structures according to their topological genus. TT2NE is guaranteed to find the minimum free energy structure regardless of pseudoknot topology. This unique proficiency is obtained at the expense of the maximum length of sequences that can be treated, but comparison with stateoftheart algorithms shows that TT2NE significantly improves the quality of predictions. Analysis of TT2NE's incorrect predictions sheds light on the need to study how sterical constraints limit the range of pseudoknotted structures that can be formed from a given sequence. An implementation of TT2NE on a public server can be found at http://ipht.cea.fr/rna/tt2ne.php.Nucleic Acids Research 05/2011; 39(14):e93. · 8.28 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We propose a novel stochastic method to generate paths conditioned to start in an initial state and end in a given final state during a certain time t(f). These paths are weighted with a probability given by the overdamped Langevin dynamics. We show that these paths can be exactly generated by a nonlocal stochastic differential equation. In the limit of short times, we show that this complicated nonsolvable equation can be simplified into an approximate local stochastic differential equation. For longer times, the paths generated by this approximate equation do not satisfy the correct statistics, but this can be corrected by an adequate reweighting of the trajectories. In all cases, the paths are statistically independent and provide a representative sample of transition paths. The method is illustrated on the onedimensional quartic oscillator.The Journal of Chemical Physics 05/2011; 134(17):174114. · 3.16 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: The dominant reaction pathway is a rigorous framework to microscopically compute the most probable trajectories, in nonequilibrium transitions. In the lowtemperature regime, such dominant pathways encode the information about the reaction mechanism and can be used to estimate nonequilibrium averages of arbitrary observables. On the other hand, at sufficiently high temperatures, the stochastic fluctuations around the dominant paths become important and have to be taken into account. In this work, we develop a technique to systematically include the effects of such stochastic fluctuations, to order k(B)T. This method is used to compute the probability for a transition to take place through a specific reaction channel and to evaluate the reaction rate.The Journal of Chemical Physics 04/2011; 134(16):164109. · 3.16 Impact Factor 
Article: Organization of Block Copolymers using NanoImprint Lithography: Comparison of Theory and Experiments
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ABSTRACT: We present NanoImprint lithography experiments and modeling of thin films of block copolymers (BCP). The NanoImprint technique is found to be an efficient tool not only to align lamellar phases perpendicularly to the substrate but also to get rid of inplane defects over distances much larger than the natural lamellar periodicity. The modeling relies on selfconsistent field calculations done in two and threedimensions and is found to be in good agreement with the experiments. It also offers some insight on the NanoImprint lithography setup and on the conditions required to perfectly ordered BCP lamellae.Macromolecules. 03/2011; 44(7). 
Article: Dominant folding pathways of a peptide chain from ab initio quantummechanical simulations.
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ABSTRACT: Using the dominant reaction pathways method, we perform an ab initio quantummechanical simulation of a conformational transition of a peptide chain. The method we propose makes it possible to investigate the outofequilibrium dynamics of these systems, without resorting to an empirical representation of the molecular force field. It also allows to study rare transitions involving rearrangements in the electronic structure. By comparing the results of the ab initio simulation with those obtained by employing a standard force field, we discuss its capability to describe the nonequilibrium dynamics of conformational transitions.The Journal of Chemical Physics 01/2011; 134(2):024501. · 3.16 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: The dominant reaction pathway (DRP) is an algorithm to microscopically compute the most probable reaction pathways in the overdamped Langevin dynamics without investing computational time in simulating the local thermal motion in the metastable configurations. In order to test the accuracy of such a method, we investigate the dynamics of the folding of a beta hairpin within a model that accounts for both native and nonnative interactions. We compare the most probable folding pathways calculated with the DRP method with the folding trajectories obtained directly from molecular dynamics simulations. We find that the two approaches give consistent results.The Journal of Chemical Physics 07/2010; 133(4):045104. · 3.16 Impact Factor  [show abstract] [hide abstract]
ABSTRACT: We present numerical calculations of lamellar phases of block copolymers at patterned surfaces. We model symmetric diblock copolymer films forming lamellar phases and the effect of geometrical and chemical surface patterning on the alignment and orientation of lamellar phases. The calculations are done within selfconsistent field theory (SCFT), where the semiimplicit relaxation scheme is used to solve the diffusion equation. Two specific setups, motivated by recent experiments, are investigated. In the first, the film is placed on top of a surface imprinted with long chemical stripes. The stripes interact more favorably with one of the two blocks and induce a perpendicular orientation in a large range of system parameters. However, the system is found to be sensitive to its initial conditions, and sometimes gets trapped into a metastable mixed state composed of domains in parallel and perpendicular orientations. In a second setup, we study the film structure and orientation when it is pressed against a hard grooved mold. The mold surface prefers one of the two components and this setup is found to be superior for inducing a perfect perpendicular lamellar orientation for a wide range of system parameters.07/2010;
Publication Stats
888  Citations  
263.61  Total Impact Points  
Top Journals
Institutions

2004–2013

Tel Aviv University
 Department of Physics and Astronomy
Tell Afif, Tel Aviv, Israel


2009–2012

Scuola Internazionale Superiore di Studi Avanzati di Trieste
Trst, Friuli Venezia Giulia, Italy 
Università degli Studi di Siena
Siena, Tuscany, Italy


2008–2012

French National Centre for Scientific Research
Lutetia Parisorum, ÎledeFrance, France


2000–2012

Cea Leti
Grenoble, RhôneAlpes, France


2009–2011

University of California, Davis
 Department of Computer Science
Davis, CA, United States


2007–2011

Università degli Studi di Trento
 Department of Physics
Trento, TrentinoAlto Adige, Italy


2005–2011

Atomic Energy and Alternative Energies Commission
 Institut de Physique Théorique (IPhT)
GifsurYvette, IledeFrance, France


2001–2009

CSU Mentor
Long Beach, California, United States


1998–2006

University of California, Santa Barbara
 • Kavli Institute for Theoretical Physics
 • Department of Physics
Santa Barbara, CA, United States


2003

LudwigMaximilianUniversity of Munich
München, Bavaria, Germany


1999

Max Planck Institute of Colloids and Interfaces
Potsdam, Brandenburg, Germany


1994

Massachusetts Institute of Technology
 Department of Physics
Cambridge, Massachusetts, United States
