Diffusion in gels

Muhr, A. H.; Blanshard, J. M. V.

doi:10.1016/0032-3861(82)90402-5

Cited by 351 publications

(253 citation statements)

References 97 publications

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“…• There are several physical models which aim to describe the matrix interaction of a polymer on the diffusion rate of solutes (Cukier, 1984;Gao and Fagerness, 1995;Masaro and Zhu, 1999;Muhr and Blanshard, 1982). However, for DMBA and TMB the diffusion coefficients in bulk liquid are not available which is a prerequisite to quantify the matrix interaction.…”

Section: Model Developmentmentioning

confidence: 99%

Model-based experimental analysis of enzyme kinetics in aqueous–organic biphasic systems

Zavrel

Schmidt

Michalik

et al. 2007

Journal of Biotechnology

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Section: Model Developmentmentioning

confidence: 99%

Model-based experimental analysis of enzyme kinetics in aqueous–organic biphasic systems

Zavrel

Schmidt

Michalik

et al. 2007

Journal of Biotechnology

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“…Such interactions include hydrogen bonding, electrostatic and van der Waals interactions as well as hydrophobic effects. Also, the influence of altered solvent properties such as http://www.biointerphases.com/content/8/1/36 structuring of solvent molecules by the polymer mesh expressed as an entropic effect [12] or as an increased 'local viscosity' of the solvent [13] are difficult to be incorporated quantitatively to construct exact diffusion models.…”

Section: Introductionmentioning

confidence: 99%

Diffusion and interaction in PEG-DA hydrogels

2013

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Polyethylenglycol (PEG) hydrogels are widely used as tuneable substrates for biological and technical applications due to their good biocompatibility and their high hydrophilicity. Here we compare the mesh size and diffusion characteristics of PEG hydrogels by analyzing the diffusion of solutes with different, well-defined sizes over long and short time scales. Interestingly, one can tune the mesh size and the density of the gel simply by changing the inital concentrations of the PEG-diacrylate (PEG-DA) polymer, which also enhances the solute uptake in equilibrium through the interaction with the PEG chains. This increased uptake can be characterized by an enhancement factor determined by partition ratio analysis. It increases linearly with the polymer volume fraction, but is not caused by immobilization inside the hydrogel as evident from FRAP measurements, thus rendering these hydrogels ideal materials for i.e. drug delivery applications

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“…So far, several theoretical research works have been carried out to investigate the diffusion in the non-charged gel matrices with considerable successes (Yasuda et al, 1971;Muhr and Blanshard, 1982;Peppas and Reinhart, 1983;Johnson et al, 1996;Matsukawa and Ando, 1996), where in some cases computer simulations were employed Dorfmüller, 1995, 1997), whereas for the charged gel matrices, few theoretical approaches have been reported. In this work, the electrostatic interaction between the charged hydrogel and the ionic solute molecule is directly incorporated in the simulation of the Brownian motion of the ionic solute molecule as described below, and the effect of those electrostatic attractive interactions on the self-diffusion coefficients of the ionic solute molecules in the charged hydrogel is mainly examined.…”

Section: Introductionmentioning

confidence: 99%

Brownian Dynamics Simulation Study of Self-Diffusion of a Charged Particle in Swollen Counter-Charged Hydrogel Modeled as Cubic Lattice.

Miyata

Endo

Ohmori

et al. 2002

J. Chem. Eng. Japan

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The tracer diffusion of a charged particle in an oppositely charged cubic lattice as a simplest model of charged hydrogel was studied by a Brownian dynamics simulation. The effect of the electrostatic attractive interaction between the tracer particle and the cubic lattice on the self-diffusion coefficient was mainly discussed, when the mesh size of the cubic lattice was sufficiently larger than the diameter of the particle. The charge density of the cubic lattice structure and the electrolyte concentration in the solvent were varied. The electrostatic force acting on the tracer particle was calculated using the potential screened by an electric double layer. The self-diffusion coefficient of the tracer particle significantly decreases as the charge density of the cubic lattice increases, while the increase in the electrolyte concentration in the solvent induces the disappearance of the effect of electrostatic attractive interaction on the self-diffusion coefficient, resulting into the asymptotical behavior to those observed in the non-charged cubic lattice. 2-Order reduction in the self-diffusion coefficient was obtained in this simulation and this shows the applicability of the control of diffusivity of ionic solutes in the swollen hydrogel by means of introducing ionic species covalently into the hydrogels. In the spatial distribution of the probability density of the charged tracer particle, the stochastic path along which the tracer particle tends to move was observed in the charged cubic lattice, which is caused by electrostatic potentials. The reduction of the self-diffusion coefficient in the charged cubic lattice is due to the transient entrapment at the point of local minimum of potential energy inside the stochastic paths.

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Diffusion in gels

Cited by 351 publications

References 97 publications

Model-based experimental analysis of enzyme kinetics in aqueous–organic biphasic systems

Model-based experimental analysis of enzyme kinetics in aqueous–organic biphasic systems

Diffusion and interaction in PEG-DA hydrogels

Brownian Dynamics Simulation Study of Self-Diffusion of a Charged Particle in Swollen Counter-Charged Hydrogel Modeled as Cubic Lattice.

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