On the transport of compact particles through solutions of chain-polymers
Abstract
The problem is discussed of providing a theoretical explanation for the empirical equation of Laurent, Bjork, Pietruszkiewicz & Persson (1963) which relates the relative retardation of the sedimentation of compact particles in solutions of hyaluronic acid to the radius of the particle and the concentration of hyaluronic acid. From published and original data, the same relation is shown to apply also to sedimentation and diffusion in solutions of a number of linear and branched chain-polymers. Of several approaches to the problem, only one, based on the stochastic model of diffusional migration, yields the empirical relationship, and predicts a value of the numerical constant close to that observed. This treatment is shown to apply to other forms of migration, including the case where the chain-polymer is itself migrating. The theory is tested by calculation, from migration data, of the effective radii of the polymer chains. The results are consistent and comparable with values deduced from equilibrium experiments.
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If the overall reaction rate is limited by diffusional encounter of reactants, crowding is expected to lower the forward reaction rate because crowding retards diffusion.
“However, if the overall rate of the reaction is limited by the rate with which reactant molecules encounter each other through diffusional motion, then crowding, which retards diffusional motion (13,14), would be expected to lower the forward reaction rate.”
From The Influence of Macromolecular Crowding and Macromolecular Confinement on Biochemical Reactions in Physiological Media (2001) · cites this paper as [13]
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References 8 · Cited by 492
- Authors
- Ogston, A. G., Preston, B. N., & Wells, J. D.
- Affiliations
- University of Oxford (GB)
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1973-05-29
- Volume
- 333
- Issue
- 1594
- Pages
- 297-316
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2158473853
- Cited by
- 492
- References
- 8
- Citations by year
- 2026: 5 · 2025: 2 · 2024: 7 · 2023: 10 · 2022: 18 · 2021: 9 · 2020: 13 · 2019: 13 · 2018: 16 · 2017: 13 · 2016: 18 · 2015: 10 · 2014: 13 · 2013: 16 · 2012: 13
- FWCI
- 4.23
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Proceedings of the Royal Society of London A Mathematical and Physical Sciences (publishedVersion)
- Topics
- Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Rheology and Fluid Dynamics Studies
- Physical Sciences › Chemistry › Spectroscopy › Diffusion Coefficients in Liquids
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Electrostatics and Colloid Interactions
- Keywords
- particle settling, particle diffusion, chain polymers, hyaluronic acid, branched polymers, polymer migration
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