Dynamic membranes for protein transport: chemical and electrical control

Grimshaw, P.E.; Grodzinsky, Alan J.; Yarmush, Martin L.; Yarmush, David M.

doi:10.1016/0009-2509(89)85256-x

Cited by 77 publications

(29 citation statements)

References 29 publications

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“…Modeling of electrical charges on the constituents of a mixture makes it possible to analyze phenomenasuch as Donnan potential and osmotic pressure, streaming and diffusion potentials and electro-osmosis (Overbeek, 1956;Grimshaw et al, 1989Grimshaw et al, , 1990Gu et al, 1993Gu et al, , 1997Gu et al, , 1998. These phenomena may be relevant to processes at the tissue level as well as at the cellular level.…”

Section: Governing Equations For Reactive Mixturesmentioning

confidence: 99%

On the theory of reactive mixtures for modeling biological growth

Ateshian

2007

Biomech Model Mechanobiol

184

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Mixture theory, which can combine continuum theories for the motion and deformation of solids and fluids with general principles of chemistry, is well suited for modeling the complex responses of biological tissues, including tissue growth and remodeling, tissue engineering, mechanobiology of cells and a variety of other active processes. A comprehensive presentation of the equations of reactive mixtures of charged solid and fluid constituents is lacking in the biomechanics literature. This study provides the conservation laws and entropy inequality, as well as interface jump conditions, for reactive mixtures consisting of a constrained solid mixture and multiple fluid constituents. The constituents are intrinsically incompressible and may carry an electrical charge. The interface jump condition on the mass flux of individual constituents is shown to define a surface growth equation, which predicts deposition or removal of material points from the solid matrix, complementing the description of volume growth described by the conservation of mass. A formu-lation is proposed for the reference configuration of a body whose material point set varies with time. State variables are defined which can account for solid matrix volume growth and remodeling. Constitutive constraints are provided on the stresses and momentum supplies of the various constituents, as well as the interface jump conditions for the electrochem cal potential of the fluids. Simplifications appropriate for biological tissues are also proposed, which help reduce the governing equations into a more practical format. It is shown that explicit mechanisms of growth-induced residual stresses can be predicted in this framework.

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Section: Governing Equations For Reactive Mixturesmentioning

confidence: 99%

On the theory of reactive mixtures for modeling biological growth

Ateshian

2007

Biomech Model Mechanobiol

184

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“…13,38 Another possible factor that should be considered is electrophoresis of the charged drug. 11,39 In our present work, only the middle part of the film was immersed into the release medium.…”

Section: Release Of Heparin From Ppy-pva-heparin With Electrical Stimmentioning

confidence: 99%

Controlled release of heparin from polypyrrole‐poly(vinyl alcohol) assembly by electrical stimulation

Neoh

Kang

2005

J Biomedical Materials Res

126

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A surface modification technique was developed for the covalent immobilization of poly(vinyl alcohol) (PVA)-heparin hydrogel onto electrically conductive polypyrrole (PPY) film with the objective of achieving controlled release of heparin. First, aldehyde groups were introduced onto PPY film through poly(ethylene glycol) monomethacrylate graft copolymerization and subsequent oxidation in acetic anhydride and dimethyl sulfoxide mixture. Then, the prepared PVA-heparin hydrogel was cast onto the PPY film and covalently immobilized to the film through the reaction between the aldehyde groups on the PPY film and the hydroxyl groups of PVA. X-ray photoelectron spectroscopy was used to characterize the surface-modified film after each stage. The strong attachment of the PVA-heparin layer on the PPY film was confirmed by peel test and scanning electron microscopy. The release behavior of heparin from the substrate with and without electrical stimulation was studied and the experimental results showed that the heparin release rate from the prepared substrate using an electric current of 3.5 mA is twofold higher than that without current.

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“…Considering the size change by swelling through the diffusion process, a Lagrangian coordinate system associated with the solid membrane matrix15 is used to derive continuity equations. For salt components, the continuity equations are ( 6 ) where 01 is a ratio of total membrane area to its initial area and H is the hydration degree of the gel. The continuity equations for the rest of components are Using the same approaches as Ruckenstein and Varanasi" and assuming (1) the dissociation reaction of buffer is at equilibrium everywhere all the time, i.e.…”

Section: ( 5 )mentioning

confidence: 99%

pH‐induced swelling kinetics of polyelectrolyte hydrogels

Chu

Varanasi

McGlade

et al. 1995

J of Applied Polymer Sci

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SYNOPSISThrough swelling experiments on polyelectrolyte (HEMA/DMA) hydrogels, pH-induced swelling kinetics is found to be best described by a diffusion-mechanical relaxation incorporated model. The theory of equilibrium swelling is quantitatively combined into the model of swelling kinetics. By doing so, the advantage is taken of applying relatively more matured knowledge of gel swelling thermodynamics to predict less knowledgeable dynamic behavior of gels.

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Dynamic membranes for protein transport: chemical and electrical control

Cited by 77 publications

References 29 publications

On the theory of reactive mixtures for modeling biological growth

On the theory of reactive mixtures for modeling biological growth

Controlled release of heparin from polypyrrole‐poly(vinyl alcohol) assembly by electrical stimulation

pH‐induced swelling kinetics of polyelectrolyte hydrogels

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