Abstract
In chapters II-V we developed the theory of one-stage chemoreception, in which a ligand can only be absorbed by a cell by a direct hit on the binding site of the receptor molecule. In chapter VIII the theory will be extended to incorporate two-stage capture processes in which the ligand is first incorporated in the cell membrane and then diffuses laterally in the plane of the membrane till it hits a binding site. Actually, two-stage chemoreception is only one of a variety of processes which occur at the surface of the living cell and in which the lateral translational - or rotational diffusion of proteins plays an essential role. It is for this reason that the experimental determination of the relevant diffusion coefficients has been pursued vigorously during the last decade [37–44]. Experimental values of the the lateral translational diffusion coefficient (DT’) range from 10-8 to 10-11 cm2 s-1. For the rotational diffusion coefficient (DR’) of proteins embedded in the cell membrane one measures values in the range from 105 to 103 s-1.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References to chapter VI
R.J. Cherry. Rotational and lateral diffusion of membrane proteins. Biochim. Biophys. Acta 559 (1979) 289–327.
M. Shinitzky and P. Henkart. Fluidity of cell membranes - current concepts and trends. Int. Rev. Cytol. 60 (1979) 121–147.
M.M. Poo, J.W. Lam, N. Orida and A.W. Chao. Electrophoresis and diffusion in the plane of the cell membrane. Biophys. J. 26 (1979) 1–22.
D.E. Golan and W. Veatch. Lateral mobility of band 3 proteins in the human erythrocyte membrane studied by fluorescence photobleaching recovery. Proc. Natl. Acad. Sci. USA 77 (1980) 2537–2541.
B.A. Smith, W.R. Clark and H.M. McConnell. Anisotropic molecular motion on cell surfaces. Proc. Natl. Acad. Sci. USA 76 (1979) 5641–5644.
M. Edidin, T. Wei and S. Holmberg. The role of membrane potential in determining rates of lateral diffusion in the plasma membrane of mammalian cells. Ann. N.Y. Acad. Sci. 339 (1980) 1–7.
M.P. Scheetz, M. Schindler and D.E. Koppel. Lateral mobility of integral membrane proteins is increased in spherocytic erythrocytes. Nature 285 (1980) 510–512.
W.L.C. Vaz, K. Jacobson, E.S. Wu and Z. Derzko. Lateral mobility of an amphipathic apolipoprotein, Apo-C-111, bound to phosphatidylcholine bilayers with and without cholesterol. Proc. Natl. Acad. Sci. USA 76 (1979) 5645–5649.
P.G. Saffman and M. Delbrück. Brownian motion in biological membranes. Proc. Natl. Acad. Sci. USA 73 (1975) 3111–3113.
P.G. Saffman. Brownian motion in thin sheets of viscous fluid. J. Fluid Mech. 73 (1976) 593–602.
B.D. Hughes, B.A. Pailthorpe and L.R. White. The translational and rotational drag on a cylinder moving in a membrane. J. Fluid Mech. 110 (1981) 349–372.
B.D. Hughes. Ph.D. Thesis, Australian National University, 1980, unpublished.
F.W. Wiegel. Rotational friction coefficient of a permeable cylinder in a viscous fluid. Phys. Lett. 70A (1979) 112–113.
F.W. Wiegel. Translational friction coefficient of a permeable cylinder in a sheet of viscous fluid. J. Phys. A12 (1979) 2385–2392.
J.R. Heringa, F.W. Wiegel and F.P.H. van Beckum. Friction coefficient of a disk in a sheet of viscous fluid: numerical calculation. Physica 108A (1981) 598–604.
F.W. Wiegel. Ref. I-10, pg. 135–150.
M. Buas. A theoretical study of membrane diffusion and lymphocyte patching. Ph.D. Thesis, University of Maryland, 1977, unpublished.
F.W. Wiegel and J.R. Heringa. Diffusion coefficient of a protein in a fluid membrane: numerical calculation. Can. J. Phys. 63 (1985) 44–45.
G.I. Bell and A.S. Perelson. Workshop on physical aspects of cellular recognition and response. Aspen Center for Physics. Unpublished report, T-10 Division, Los Alamos National Laboratory, 1981.
M. Bloom. Squishy proteins in fluid membranes. Can. J. Phys. 57 (1979) 2227–2230.
E.L. Elson and J.A. Reidler. Analysis of cell surface interactions by measurements of lateral mobility. J. Supramol. Struct. 6 (1979) 215–228.
J.C. Owicki and H.M. McConnell. Lateral diffusion in inhomogeneous membranes: model membranes containing cholesterol. Biophys. J. 30 (1980) 383–398.
B.A. Smith, W.R. Clark and H.M. McConnell. Anisotropic molecular motion on cell surfaces. Proc. Natl. Acad. Sci. USA 76 (1979) 5641–5644.
A.M. Dykhne. Conductivity of a two-dimensional two-phase system. Zh. Eksp. Teor. Fiz. 59 (1970) 110–115;
A.M. Dykhne. Sov. Phys. JETP 32 (1970) 63–65.
M.W.M. Willemse and W.J. Caspers. Electrical conductivity of polycrystalline materials. J. Math. Phys. 20 (1979) 1824–1831.
M.S. Bretcher. Endocytosis: relation to capping and cell locomotion. Science 224 (1984) 681–686.
F.W. Wiegel. Hydrodynamics of a permeable patch in the fluid membrane. J. Theor. Biol. 77 (1979) 189–193.
B. Goldstein, C. Wofsy and H. Echavarria-Heras. The effect of membrane flow on the capture of receptors by coated pits. Biophys. J. 53 (1988) 405–414.
B. Goldstein and F.W. Wiegel. The distribution of cell surface proteins on spreading cells: comparison of theory with experiment. Biophys. J. 53 (1988) 175–184.
F.W. Wiegel and B. Goldstein. Cap formation by proteins on the cell membrane: excluded volume effects. Mod. Phys. Lett. B2 (1988) 857–859.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Wiegel, F.W. (1991). Diffusion and Flow in the Cell. In: Physical Principles in Chemoreception. Lecture Notes in Biomathematics, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51673-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-51673-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54319-0
Online ISBN: 978-3-642-51673-3
eBook Packages: Springer Book Archive