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Related papers: A Self Healing Model Based on Polymer-Mediated Chr…

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In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion. The copolymer is a random concatenation of monomers of two types, $A$ and $B$, each occurring with density 1/2. The…

Probability · Mathematics 2009-11-13 Frank den Hollander , Nicolas Pétrélis

Wound healing is a complex process with many components and interrelated processes on a microscopic level. This paper addresses a macroscopic view on wound healing based on an energy conservation argument coupled with a general scaling of…

Medical Physics · Physics 2012-12-18 S. Peter Apell , Michael Neidrauer , Elisabeth S. Papazoglou , Vincent Pizziconi

Using transmittance imaging microscopy we measure the wavelength dependence of reversible photodegradation in disperse orange 11 (DO11) dye-doped (poly)methyl-methacrylate (PMMA). The reversible and irreversible inverse quantum efficiencies…

Optics · Physics 2015-09-30 Benjamin R. Anderson , Sheng-Ting Hung , Mark G. Kuzyk

Entangled states are ubiquitous amongst fibrous materials, whether naturally occurring (keratin, collagen, DNA) or synthetic (nanotube assemblies, elastane). A key mechanical characteristic of these systems is their ability to reorganise in…

We present an experimentally guided, multi-phase, multi-species polyelectrolyte gel model to make quantitative predictions on the electro-chemical properties of articular cartilage. The mixture theory consists of two different types of…

Tissues and Organs · Quantitative Biology 2013-08-22 Sarthok Sircar , Elizabeth Aisenbrey , Stephanie J. Bryant , David M. Bortz

We present an off-lattice statistical model of a single polymer chain in mixed solvent media. Taking into account a polymer conformational entropy, renormalization of solvent composition near the polymer backbone, the universal…

Soft Condensed Matter · Physics 2016-06-09 Yu. A. Budkov , A. L. Kolesnikov , N. N. Kalikin , M. G. Kiselev

Time-dependent quantities are calculated in the linear response limit for a correlated one dimensional model atom driven by an external quadrupolar time-dependent field. Besides the analysis of the time-evolving energy change in the…

Quantum Physics · Physics 2015-01-29 I. Nagy , I. Aldazabal , M. L. Glasser

In this paper we study a model describing a copolymer in a micro-emulsion. The copolymer consists of a random concatenation of hydrophobic and hydrophilic monomers, the micro-emulsion consists of large blocks of oil and water arranged in a…

Probability · Mathematics 2016-10-03 Frank den Hollander , Nicolas Pétrélis

This work deals with the characterisation and modelling of the curing process and its associated volume changes of an epoxy based thermoset resin. Measurements from differential scanning calorimetry (DSC) define the progress of the chemical…

Materials Science · Physics 2014-04-02 Martin Rudolph , Martin Stockmann , Ralf Landgraf , Jörn Ihlemann

I propose a new paradigm for solar coronal heating viewed as a self-regulating process keeping the plasma marginally collisionless. The mechanism is based on the coupling between two effects. First, coronal density controls the plasma…

Astrophysics · Physics 2008-11-26 Dmitri A. Uzdensky

We propose a polymer model for the dynamics of chromatin replication in three dimensional space. Our simulations indicate that both immobile and tracking replisomes may self-assemble during the process, reconciling previous apparently…

Biological Physics · Physics 2023-12-19 G. Forte , S. Buonomo , P. R. Cook , N. Gilbert , D. Marenduzzo , E. Orlandini

Self-renewal is a constitutive property of stem cells. Testing the cancer stem cell hypothesis requires investigation of the impact of self-renewal on cancer expansion. To understand better this impact, we propose a mathematical model…

Classical Analysis and ODEs · Mathematics 2016-01-12 Jan-Erik Busse , Piotr Gwiazda , Anna Marciniak-Czochra

I present a novel view on the problem of solar coronal heating. In my picture, coronal heating should be viewed as a self-regulating process that works to keep the coronal plasma marginally collisionless. The self-regulating mechanism is…

Astrophysics · Physics 2007-07-09 Dmitri A. Uzdensky

Herein an alternative model to reptation to describe concentrated polymer dynamics is developed. The model assumes that the chains act as blobs that are able to diffuse past each other in a compressed state. Allowing that the local…

Soft Condensed Matter · Physics 2022-02-25 Dave E. Dunstan

We model energy transfer between two coupled four-level chromophores with arbitrarily spaced energy levels. Our analysis takes into account the crucial---yet often ignored---process of initial excitation by light that is incident on the…

Quantum Physics · Physics 2012-02-17 Chi-Han Chang , Agata M. Branczyk , Gregory D. Scholes , Daniel F. V. James

The predictions of the polymer mode coupling theory for the finite size corrections to the transport coefficients of entangled polymeric systems are tested in comparisons with various experimental data. It is found that quantitative…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

We present a theoretical model for predicting the phase behavior of polymer solutions in which phase separation competes with oligomerization. Specifically, we consider scenarios in which the assembly of polymer chains into stoichiometric…

Soft Condensed Matter · Physics 2024-07-31 Tianhao Li , W. Benjamin Rogers , William M. Jacobs

The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived `crumpled globule.' The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with…

Soft Condensed Matter · Physics 2015-10-07 Guy Bunin , Mehran Kardar

In this paper we review some recent results, obtained jointly with Stu Whittington, for a mathematical model describing a copolymer in an emulsion. The copolymer consists of hydrophobic and hydrophilic monomers, concatenated randomly with…

Probability · Mathematics 2007-06-14 F. den Hollander , N. Petrelis

We evaluate the dependence of the cluster correlation length r_c on the mean intercluster separation D_c, for three models with critical matter density, vanishing vacuum energy (Lambda = 0) and COBE normalized: a tilted CDM (tCDM) model…

Astrophysics · Physics 2009-10-31 A. Gardini , S. A. Bonometto , G. Murante , G. Yepes