Gel electrophoresis and size selectivity of charged colloidal particles in a charged hydrogel medium

Bhattacharyya, S.; De, Simanta

doi:10.1016/j.ces.2015.11.012

Cited by 15 publications

(11 citation statements)

References 26 publications

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“…We continue to work on this aspect of the problem. The nonlinear continuum model applied by Bhattacharyya and co-workers to hard and soft spherical particles containing a centrosymmetric charged distribution makes it possible to explore electrokinetic transport phenomena at high electric or flow field strengths. Initially, electrophoretic mobilities at weak field strengths using these procedures for highly charged hard spheres were at variance with the linear continuum model results of other investigators in free solution and in an uncharged gel .…”

Section: Discussionmentioning

confidence: 99%

“…It should be possible to generalize this approach to include a charged external gel as well. The boundary element as well as other numerical methodologies such as the nonlinear continuum model − will undoubtedly come into widespread use in the future.…”

Section: Concluding Remarksmentioning

confidence: 99%

“…This shall be referred to as the “linear continuum theory”. Recently, Bhattacharyya et al − have extended these studies to include nonlinear effects of the imposed electric or flow field which has made it possible to study electrokinetic transport under high field conditions. The objective of the present work is developing an algorithm applicable to dilute soft particles in charged gels within the framework of the linear continuum model.…”

Section: Introductionmentioning

confidence: 99%

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Electrophoretic Mobility of a Dilute, Highly Charged “Soft” Spherical Particle in a Charged Hydrogel

Allison

2016

J. Phys. Chem. B

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In this paper, numerical modeling studies are carried out on the electrophoretic mobility of a dilute, highly charged "soft" spherical particle in a hard hydrogel subjected to a weak, constant, external electric field. The particle contains a solid core with either a uniform charge density or "zeta" potential on its surface. Outside of this lies a charged gel layer of uniform thickness, composition, and charge density. The present work extends previous studies by accounting for the "relaxation effect", or distortion of the charge distribution in the vicinity of the model particle due to the imposition of an external electric and/or flow field. The particle gel layer and ambient hydrogel are modeled as porous Brinkman media. The (steady state) electrodynamic problem is solved at the level of the Poisson equation. Applications emphasize the influence of the relaxation effect and hydrogel charge density on the electrophoretic mobility.

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Section: Discussionmentioning

confidence: 99%

Section: Concluding Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electrophoretic Mobility of a Dilute, Highly Charged “Soft” Spherical Particle in a Charged Hydrogel

Allison

2016

J. Phys. Chem. B

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“…Horizontal lines are the Hückel mobilities furnished by Eqn. (6). strength according to the Smoluchowski limit (M * = 3ζ * /2 in solution without gel).…”

Section: Uncharged Coronas With Peripheral Chargementioning

confidence: 99%

Electrokinetics of nanoparticle gel-electrophoresis

Hill

2016

Soft Matter

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Gel-electrophoresis has been demonstrated in recent decades to successfully sort a great variety of nanoparticles according to their size, charge, surface chemistry, and corona architecture. However, quantitative theoretical interpetations have been limited by the number and complexity of factors that influence particle migration. Theoretical models have been fragmented and incomplete with respect to their counterparts for free-solution electrophoresis. This paper unifies electrokinetic models that address complex nanoparticle corona architectures, corona and gel charge regulation (e.g., by the local pH), multi-component electrolytes, and non-linear electrostatics and relaxation effects. By comprehensively addressing the electrokinetic aspects of the more general gel-electrophoresis problem, in which short-ranged steric interactions are significant, a stage is set to better focus on the physicochemical and steric factors. In this manner, it is envisioned that noparticle gelelectrophoresis may eventually be advanced from a nanoparticle-characterization tool to one that explicitly probes the short-ranged interactions of nanoparticles with soft networks, such as synthetic gels and biological tissues. In this paper, calculations are undertaken that identify a generalized Hückel limit for nanoparticles in low-conductivity gels, and a new Smoluchowski limit for polyelectrolyte-coated particles in high-conductivity gels that is independent of the gel permeability. Also of fundamental interest is a finite, albeit small, electrophoretic mobility for uncharged particles in charged gels. Electrophoretic mobilities and drag coefficients (with electroviscous effects) for nanoparticles bearing non-uniform coronas show that relaxation effects are typically weak for the small nanoparticles (radius ≈ 3-10 nm) to which gel-electrophoresis has customarily been applied, but are profound for the larger nanoparticles (radius 40 nm in low conductivity gels) to which passivated gel-electrophoresis experiments have recently been applied. To demonstrate its practical application, the model is applied to (pH charge regulating) carboxylated polystyrene nanospheres in low-density passivated agarose gels (weak steric effects). This furnishes a new theoretical interpretation of literature data for which a finite diffuse-layer-thickness, pH-charge regulation, high charge, and relaxation effects dominate over the steric influences.

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“…We apply the model to study two archetypal problems in electrokinetics, namely the electrophoresis of particules with fixed surface charges and the electrophoresis of ideally polarizable particles. Following numerous studies in electrokinetics [48][49][50][51][52], we rely on numerical simulations to incorporate nonlinear effects including crowding effects due to the finite size of ions, dielectric decrement in the electric double layer, surface conduction, and concentration polarization and advection in the bulk solution and in the electric double layer. To our knowledge, the present study is the first to build on the steric-dielectric decrement model of Nakayama and Andelman [42] to quantitatively describe electrophoresis in the nonlinear regime.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear electrophoresis in the presence of dielectric decrement

et al. 2016

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The nonlinear phenomena that occur in the electric double layer (EDL) that forms at charged surfaces strongly influence electrokinetic effects, including electro-osmosis and electrophoresis. In particular, saturation effects due to either dielectric decrement or ion crowding effects are of paramount importance. Dielectric decrement significantly influences the ionic concentration in the EDL at high ζ potential, leading to the formation of a condensed layer near the particle's surface. In this article, we present a model incorporating both steric effects due to the finite size of ions and dielectric decrement to describe the physics in the electric double layer. The model remains valid in both weakly and strongly nonlinear regimes, as long as the electric double layer remains in quasiequilibrium. We apply this model to the study of two archetypal problems in electrokinetics, namely the electrophoresis of particles with fixed surface charges and the electrophoresis of ideally polarizable particles.

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Gel electrophoresis and size selectivity of charged colloidal particles in a charged hydrogel medium

Cited by 15 publications

References 26 publications

Electrophoretic Mobility of a Dilute, Highly Charged “Soft” Spherical Particle in a Charged Hydrogel

Electrophoretic Mobility of a Dilute, Highly Charged “Soft” Spherical Particle in a Charged Hydrogel

Electrokinetics of nanoparticle gel-electrophoresis

Nonlinear electrophoresis in the presence of dielectric decrement

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