Electrostatic double-layer interactions for spherical colloids in cylindrical pores

Smith, Frank; Deen, William M.

doi:10.1016/0021-9797(80)90584-6

Cited by 112 publications

(83 citation statements)

References 15 publications

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“…If molecules are comparable in size to the pore, hydrodynamic interactions between the molecules and pore walls are dependent on long-range intermolecular forces and steric restrictions. In the 1980s, progress was demonstrated in hindered transport through pores by the quantification of electrostatic interactions, the effects of solute concentration on partitioning and transport coefficients, and the influence of molecular configuration on transport rates ͑Smith and Deen, 1980;Deen, 1987͒. Hereafter, we present a partitioning theory that accounts for size and electrostatic effects, and then we focus on electrostatic sieving. For the discussion of purely size-dependent sieving, we refer the reader to Sec.…”

Section: Partitioning At the Interfacementioning

confidence: 99%

Transport phenomena in nanofluidics

2008

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The transport of fluid in and around nanometer-sized objects with at least one characteristic dimension below 100 nm enables the occurrence of phenomena that are impossible at bigger length scales. This research field was only recently termed nanofluidics, but it has deep roots in science and technology. Nanofluidics has experienced considerable growth in recent years, as is confirmed by significant scientific and practical achievements. This review focuses on the physical properties and operational mechanisms of the most common structures, such as nanometer-sized openings and nanowires in solution on a chip. Since the surface-to-volume ratio increases with miniaturization, this ratio is high in nanochannels, resulting in surface-charge-governed transport, which allows ion separation and is described by a comprehensive electrokinetic theory. The charge selectivity is most pronounced if the Debye screening length is comparable to the smallest dimension of the nanochannel cross section, leading to a predominantly counterion containing nanometer-sized aperture. These unique properties contribute to the charge-based partitioning of biomolecules at the microchannel-nanochannel interface. Additionally, at this free-energy barrier, size-based partitioning can be achieved when biomolecules and nanoconstrictions have similar dimensions. Furthermore, nanopores and nanowires are rooted in interesting physical concepts, and since these structures demonstrate sensitive, label-free, and real-time electrical detection of biomolecules, the technologies hold great promise for the life sciences. The purpose of this review is to describe physical mechanisms on the nanometer scale where new phenomena occur, in order to exploit these unique properties and realize integrated sample preparation and analysis systems.

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Section: Partitioning At the Interfacementioning

confidence: 99%

Transport phenomena in nanofluidics

2008

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“…Several studies relevant to this work are described below. Smith and Deen (1980) presented a theoretical analysis of transport of spherically charged colloids in cylindrical charged pores. This model assumes the presence of an electrical double layer surrounding a charged solute or pore.…”

Section: Introductionmentioning

confidence: 99%

An exclusion mechanism in ion exchange chromatography

Harinarayan

Mueller

Ljunglöf³

et al. 2006

Biotech & Bioengineering

136

107

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Protein dynamic binding capacities on ion exchange resins are typically expected to decrease with increasing conductivity and decreasing protein charge. There are, however, conditions where capacity increases with increasing conductivity and decreasing protein charge. Capacity measurements on two different commercial ion exchange resins with three different monoclonal antibodies at various pH and conductivities exhibited two domains. In the first domain, the capacity unexpectedly increased with increasing conductivity and decreasing protein charge. The second domain exhibited traditional behavior. A mechanism to explain the first domain is postulated; proteins initially bind to the outer pore regions and electrostatically hinder subsequent protein transport. Such a mechanism is supported by protein capacity and confocal microscopy studies whose results suggest how knowledge of the two types of IEX behavior can be leveraged in optimizing resins and processes. ß

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“…It is well known that it is energetically unfavorable for highly charged moieties to sieve through membrane pores or cake interstices Zydney, 1999, 2001). The theoretical basis of this phenomenon has been provided by Smith and Deen (1980) by solving the Poisson-Boltzmann equation for the electrical potential and ion concentrations. The result for the reduced potential is:…”

Section: Introductionmentioning

confidence: 99%

Optimized recovery of monoclonal antibodies from transgenic goat milk by microfiltration

Baruah

Belfort

2004

Biotech & Bioengineering

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The Predictive Aggregate Transport Model for microfiltration is used in combination with optimum fluid mechanics and electrostatics to maximize recovery of a heterologous immunoglobulin (IgG) from transgenic goat milk. The optimization algorithm involved varying pH (6.8 -9), transmembrane pressure (2 -4.5 psi), milk feed concentration (1 -2X), membrane module type (linear vs. helical design), and axial velocity (Reynolds number: 830-1170). Operation in the pressure-dependent regime at low uniform transmembrane pressures (c2 psi) using permeate circulation in co-flow, at the pI of the protein (9 in this case) was used to increase IgG recovery from less than 1% to over 95%. Sodium dodecyl sulfate polyacrylamide gel electrophoresis and attenuated total reflection Fourier transform infrared spectroscopy of the microfiltration permeate samples confirmed that all the fat globules and most of the casein micelles were retained in the MF membrane whereas a large amount of the target IgG was transported through the membrane. Transmembrane pressure and hence permeation flux was kept low (c15 lmh) to maximize IgG membrane transport and thus recovery, due to a sparse deposit on the membrane which facilitated high solute transport. Next, an analytical method was used to optimize the diafiltration process using the aggregate transport model, experimental target protein sieving coefficients and permeation flux . The methodology reported here should be generalizable to the recovery of target proteins found in other complex suspensions of biological origin using the microfiltration process. B 2004 Wiley Periodicals, Inc.

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Electrostatic double-layer interactions for spherical colloids in cylindrical pores

Cited by 112 publications

References 15 publications

Transport phenomena in nanofluidics

Transport phenomena in nanofluidics

An exclusion mechanism in ion exchange chromatography

Optimized recovery of monoclonal antibodies from transgenic goat milk by microfiltration

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