Summary
The time taken to descend through a measured depth of glycerol was recorded for some metal boxes, cylinders, ellipsoids and spheres having axial ratios from 0.2 to 2.4. The results were used to determine the relation between each nonspherical form, its axial ratio, and the radius of its dynamically equivalent sphere with respect to glycerol. Expressed in dimensionless terms, these relations closely predict thereal gross configuration of four regularly shaped molecules (inulin, ribonuclease, hemoglobin and hen egg-white lysozyme), and sensibly predict theeffective gross configuration of one irregularly shaped molecule (γGl immunoglobulin) from their known axial ratios and Stokes-Einstein radii. Similarly, they predict theeffective gross configuration of a molecule whose real shape is not known (serum albumin). Since the relations established for the models apply to all the molecules considered, it seems likely that they can be used in conjunction with membrane-diffusion studies (E. Middleton, 1975,J. Membrane Biol. 20:347) and free-diffusion studies to determine the effective configuration in ultrafiltration of any molecule.
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Blake, C.C.F., Koenig, D.F., Mair, G.A., North, A.C.T., Phillips, D.C., Sarma, V.R. 1965. Structure of hen egg-white lysozyme. A three-dimensional Fourier synthesis at 2 Å resolution.Nature (London) 206:757
Boucher, D.F. 1973. Particle dynamics.In: Chemical Engineers' Handbook. R.H. Perry and C.H. Chilton, editors. pp. 5–62. Mcgraw-Hill, New York-London
Bunim, J.J., Smith, W.W., Smith, H.W. 1937. The diffusion coefficient of inulin and other substances of interest in renal physiology.J. Biol. Chem. 118:667
Carlisle, C.H., Palmer, R.A., Mazumdar, S.K., Gorinsky, B.A., Yeates, D.G.R. 1974. The structure of ribonuclease at 2.5 Angstrom resolution.J. Mol. Biol. 85:1
Chang, R.L.S., Robertson, C.R., Deen, W.M., Brenner, B.M. 1975. Permselectivity of the glomerular wall to macromolecules. 1. Theoretical considerations.Biophys. J. 15:861
Edsall, J.T. 1953. The size, shape and hydration of protein molecules.In: The Proteins. H. Neurath and K. Bailey, editors. Vol. 1, Part B, p. 628. Academic Press, New York
Hagler, A.T., Moult, J. 1978. Computor simulation of the solvent structure around biological macromolecules.Nature (London) 272:222
Jacobs, S. 1974. Ultrafilter membranes in biochemistry.In: Methods of Biochemical Analysis. D. Glick, editor. p. 330. John Wiley & Sons, New York-London-Sydney-Toronto
Kaye, G.W.C., Laby, T.H. 1973. Tables of Physical and Chemical Constants. Longman, London
Lieb, W.R., Stein, W.D. 1971. The molecular basis of simple diffusion within biological membranes.In: Current topics in Membranes and Transport. F. Bronner and A. Kleinzeller, editors. p. 1. Academic Press, New York-London
Low, B.W. 1952. Preparation and properties of serum and plasma proteins. XXXIV. An X-ray study of crystalline human serum albumin preparations.J. Am. Chem. Soc. 74:4830
Middleton, E. 1975. Passage of inulin andp-aminohippuric acid through artificial membranes: Implications for measurement of renal function.J. Membrane Biol. 20:347
Middleton, E. 1977. The molecular configuration of inulin: Implications for ultrafiltration theory and glomerular permeability.J. Membrane Biol. 34:93
Muirhead, H., Perutz, M.F. 1963. Structure of haemoglobin. A three-dimensional Fourier synthesis of reduced human haemoglobin at 5.5 Å resolution.Nature (London) 199:633
Nozaki, Y., Schechter, N.M., Reynolds, J.A., Tanford, C. 1976. Use of gel chromatography for the determination of the Stokes radii of proteins in the presence and absence of detergents. A reexamination.Biochemistry 15:3884
Pettyjohn, E.S., Christiansen, E.B. 1948. Effect of particle shape on free-settling rates of isometric particles.Chem. Eng. Prog. 44:157
Phelps, C.F. 1965. The physical properties of inulin solutions.Biochem. J. 95:41
Sarma, V.R., Silverton, E.W., Davies, D.R., Terry, W.T. 1971. The three-dimensional structure at 6 Å resolution of a γGl immunoglobulin molecule.J. Biol. Chem. 246:3735
Scheidegger, A.E. 1963. Hydrodynamics in porous media.In: Encyclopedia of Physics. S. Flugge, editor. Vol. VIII/2, Fluid Dynamics II, p. 625. Springer-Verlag, Berlin-Göttingen-Heidelberg
Smith, M.H. 1970. Molecular weights of proteins and some other materials including sedimentation diffusion and frictional coefficients and partial specific volumes.In: Handbook of Biochemistry and selected data for Molecular Biology. H.A. Sober, editor. p. C3. The Chemical Rubber Co., Cleveland
Timchenko, A.A., Ptitsyn, O.B., Troitsky, A.V., Denesyuk, A.I. 1978. The structure of phageT4 lysozyme in solution noticeably differs from its crystalline structure.FEBS Lett. 88:109
Yang, J.T. 1961. The viscosity of macromolecules in relation to molecular conformation.In: Advances in Protein Chemistry. C.B. Anfinsen, M.L. Anson, K. Bailey, and J.T. Edsall, editors. p. 323. Academic Press, New York-London
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Middleton, E. The effective configuration of a molecule in ultrafiltration: Its definition and determination. J. Membrain Biol. 47, 129–143 (1979). https://doi.org/10.1007/BF01876113
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DOI: https://doi.org/10.1007/BF01876113