DOI: 10.1098/rspa.1973.0064. On the transport of compact particles through solutions of chain-polymers

On the transport of compact particles through solutions of chain-polymers

10.1098/rspa.1973.0064

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (175)

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.

Bibliography

On the transport of compact particles through solutions of chain-polymers. (1973). Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 333(1594), 297â316.

Authors 0

None

References 26 Referenced 382

Chandrasekhar S. 1943 Rev.
Einstein A. 1905 A nn. P hys. L pz. 17 549-560. m od.Phys. 15 20-42. (10.1002/andp.19053220806)
10.1002/bbpc.19080141703
Faxen H. 1922 A nn. Phys. L pz. 68 89-119. (10.1002/andp.19223731003)
Glasstone S. Laidler K . J. & Eyring H . 1941 The theory of rate processes pp. 516 ff. N ew York: McGraw Hill Book Co.
Ladenburg R. 1907 A nn. P hys. L pz. 23 447-458. (10.1002/andp.19073280806)
{'key': 'p_7', 'first-page': '253', 'article-title': 'Biochem', 'volume': '89', 'author': 'Laurent T. C.', 'year': '1963', 'journal-title': 'J .'} / J . / Biochem by Laurent T. C. (1963)
{'key': 'p_8', 'first-page': '106', 'article-title': 'Biochem', 'volume': '93', 'author': 'Laurent T. C.', 'year': '1964', 'journal-title': 'J .'} / J . / Biochem by Laurent T. C. (1964)
{'key': 'p_9', 'first-page': '351', 'article-title': 'Biochim. biophys', 'volume': '78', 'author': 'Laurent T. C.', 'year': '1963', 'journal-title': 'Acta'} / Acta / Biochim. biophys by Laurent T. C. (1963)
{'key': 'p_10', 'first-page': '317', 'article-title': 'J', 'volume': '14', 'author': 'Laurent T. C.', 'year': '1964', 'journal-title': 'Ghromatog.'} / Ghromatog. / J by Laurent T. C. (1964)
Laurent T. C. & Obrink B. 1972 Europ. J . Biochem. 28 94^-101. (10.1111/j.1432-1033.1972.tb01888.x)
{'key': 'p_12', 'first-page': '141', 'article-title': 'Biochim. biophys', 'volume': '83', 'author': 'Laurent T. C.', 'year': '1964', 'journal-title': 'Acta'} / Acta / Biochim. biophys by Laurent T. C. (1964)
{'key': 'p_13', 'first-page': '258', 'article-title': 'Biochim. biophys', 'volume': '49', 'author': 'Laurent T. C.', 'year': '1961', 'journal-title': 'Acta'} / Acta / Biochim. biophys by Laurent T. C. (1961)
Longsworth L. G. 1959 In Electrophoresis (ed. M. Bier) p. 91. New York: Academic Press.
McLennan H . 1956 Biochim. biophys. A cta 21 472-481. (10.1016/0006-3002(56)90184-6)
{'key': 'p_16', 'first-page': '517', 'article-title': 'Biochem', 'volume': '124', 'author': 'Morris C. J. O. R.', 'year': '1971', 'journal-title': 'J .'} / J . / Biochem by Morris C. J. O. R. (1971)
{'key': 'p_17', 'first-page': '1754', 'article-title': 'J . phys', 'volume': '69', 'author': 'Nichol L. W.', 'year': '1965', 'journal-title': 'Chem.'} / Chem. / J . phys by Nichol L. W. (1965)
10.1039/tf9545001303
10.1039/tf9585401754
{'key': 'p_20', 'first-page': '668', 'article-title': 'J . phys', 'volume': '74', 'author': 'Ogston A. G.', 'year': '1970', 'journal-title': 'Chem.'} / Chem. / J . phys by Ogston A. G. (1970)
{'key': 'p_21', 'first-page': '171', 'article-title': 'Biochem', 'volume': '116', 'author': 'Ogston A. G.', 'year': '1970', 'journal-title': 'J .'} / J . / Biochem by Ogston A. G. (1970)
{'key': 'p_22', 'first-page': '2689', 'article-title': 'J . phys', 'volume': '36', 'author': 'Onsager L.', 'year': '1932', 'journal-title': 'Chem.'} / Chem. / J . phys by Onsager L. (1932)
{'key': 'p_23', 'first-page': '13', 'article-title': 'Am . J', 'volume': '167', 'author': 'Pappenheimer J. R .', 'year': '1951', 'journal-title': 'Physiol.'} / Physiol. / Am . J by Pappenheimer J. R . (1951)
{'key': 'p_24', 'first-page': '449', 'article-title': 'Biochem', 'volume': '96', 'author': 'Preston B. N .', 'year': '1965', 'journal-title': 'J .'} / J . / Biochem by Preston B. N . (1965)
Preston B. N . Obrink B. & Laurent T. C. 1973 Europ. J . Biochem. (in the Press).
{'key': 'p_26', 'first-page': '43', 'article-title': 'Biochem', 'volume': '109', 'author': 'Silpananta P .', 'year': '1968', 'journal-title': 'J .'} / J . / Biochem by Silpananta P . (1968)

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 4:58 p.m.)
Deposited	4 years, 6 months ago (Feb. 20, 2021, 3:42 p.m.)
Indexed	1 month ago (Aug. 2, 2025, 12:54 a.m.)
Issued	52 years, 3 months ago (May 29, 1973)
Published	52 years, 3 months ago (May 29, 1973)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	52 years, 3 months ago (May 29, 1973)

Funders 0

None

BibTeX

@article{1973, volume={333}, ISSN={0080-4630}, url={http://dx.doi.org/10.1098/rspa.1973.0064}, DOI={10.1098/rspa.1973.0064}, number={1594}, journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1973}, month=may, pages={297–316} }

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