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We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

Nonlinear absorption in four and five energy level systems have been studied with the aid of steady-state rate equation approach. We report on the tunability of saturable and reverse saturable absorption as a function of spectroscopic…

Optics · Physics 2018-02-28 A. Srinivasa Rao

The adsorption of polymer and surfactant molecules onto colloidal particles or droplets in solution can be characterized non-destructively by scattering techniques. In a first part, the general framework of Dynamic Light Scattering, Small…

Soft Condensed Matter · Physics 2007-05-24 Julian Oberdisse

We construct the complete structural phase diagram of polymer adsorption at substrates with attractive stripe-like patterns in the parameter space spanned by the adsorption affinity of the stripes and temperature. Results were obtained by…

Statistical Mechanics · Physics 2014-04-14 Monika Möddel , Wolfhard Janke , Michael Bachmann

Due to inherent complexity active transport presents a landmark hurdle for oral absorption properties prediction. We present a novel approach carrier-mediated drug absorption parameters calculation based on entirely different paradigm than…

Quantitative Methods · Quantitative Biology 2008-10-16 P. O. Fedichev , T. V. Kolesnikova , A. A. Vinnik

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

Analysis of PDEs · Mathematics 2015-06-22 Donatella Donatelli , Konstantina Trivisa

We present a thermodynamically consistent mesoscopic model of protein adsorption at liquid-solid interfaces. First describing the equilibrium state under varying protein concentration of the solution and binding conditions, we predict a…

Soft Condensed Matter · Physics 2016-08-31 Gergely J. Szollosi , Imre Derenyi , Janos Voros

A mathematical model of a drug transport after rapid injection is given. It takes into account three processes: - drug plasma protein binding in central compartment - transport processes between the central compartment and the peripheral…

Tissues and Organs · Quantitative Biology 2012-08-21 Slawomir Piekarski , Miroslaw Rewekant

Hypoxia-activated prodrugs offer a promising strategy for targeting oxygen-deficient regions in solid tumors, which are often resistant to conventional therapies. However, modeling their behavior is challenging because of the complex…

Numerical Analysis · Mathematics 2025-10-06 Alessandro Coclite , Riccardo Montanelli Eccher , Luca Possenti , Piermario Vitullo , Paolo Zunino

Cyanobacteria sequester photosynthetic enzymes into microcompartments which facilitate the conversion of carbon dioxide into sugars. Geometric similarities between these structures and self-assembling viral capsids have inspired models that…

Soft Condensed Matter · Physics 2018-07-10 Grant M. Rotskoff , Phillip L. Geissler

One of the promising frontiers of bioengineering is the controlled release of a therapeuticdrug from a vehicle across the skin (transdermal drug delivery). In order to study the complete process, a two-phase mathematical model describing…

Quantitative Methods · Quantitative Biology 2016-01-15 Giuseppe Pontrelli , Filippo de Monte

We investigate self-avoiding walk models of linear block copolymers adsorbed at a surface and desorbed by the action of a force. We rigorously establish the dependence of the free energy on the adsorption and force parameters, and the form…

Statistical Mechanics · Physics 2020-12-30 EJ Janse van Rensburg , CE Soteros , SG Whittington

We study analytically and by means of an off-lattice bead-spring dynamic Monte Carlo simulation model the adsorption kinetics of a single macromolecule on a structureless flat substrate in the regime of strong physisorption. The underlying…

Soft Condensed Matter · Physics 2008-06-27 S. Bhattacharya , A. Milchev , V. G. Rostiashvili , A. Y. Grosberg , T. A. Vilgis

A thresholded Gaussian random field model is developed for the microstructure of porous materials. Defining the random field as a solution to stochastic partial differential equation allows for flexible modelling of non-stationarities in…

Applications · Statistics 2017-08-22 Sandra Barman , David Bolin

The concentration of nanosheet suspensions is an important technological parameter which is commonly measured by optical spectroscopy using the absorption coefficient to transform absorbance into concentration. However for all 2D materials,…

Mesoscale and Nanoscale Physics · Physics 2015-11-16 Keith R. Paton , Jonathan N. Coleman

We propose a theoretical investigation of the physical adsorption of neutral comb-polymers with an adsorbing skeleton and non-adsorbing side-chains on a flat surface. Such polymers are particularly interesting as "dynamic coating" matrices…

Soft Condensed Matter · Physics 2009-11-11 Anna Sartori , Albert Johner , Jean-Louis Viovy , Jean-Francois Joanny

X-ray interaction with matter is an energy-dependent process that is contingent on the atomic structure of the constituent material elements. The most advanced models to capture this relationship currently rely on Monte Carlo (MC)…

Machine Learning · Computer Science 2023-07-11 Raziye Kubra Kumrular , Thomas Blumensath

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

This paper considers the scenario of a targeted drug delivery system, which consists of deploying a number of biological nanomachines close to a biological target (e.g. a tumor), able to deliver drug molecules in the diseased area. Suitably…

Emerging Technologies · Computer Science 2018-08-14 Mauro Femminella , Gianluca Reali , Athanasios V. Vasilakos

We propose a model of antibiotic diffusion through a bacterial biofilm when diffusion and/or absorption barriers develop in the biofilm. The idea of this model is: We deduce details of the diffusion process in a medium in which direct…

Biological Physics · Physics 2020-09-23 Tadeusz Kosztołowicz , Ralf Metzler