Abstract
A theory for the determination of the focal nucleation size of oscillatory membrane (or thin layer) reactions is developed on the assumption that the focal domain is square planar. From this, one can estimate that, for a period of the oscillatory mode of, say, 5 min and lateral diffusion coefficient of approximately 10(-9) cm2/sec, the critical focal area would be of the order of 148 micrometer2, corresponding to a linear dimension of approximately 12.2 micrometer2. An alternative general expression for the critical focal size, involving explicitly the viscosity of the membrane, is also given.
Full text
PDF



Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Borochov H., Shinitzky M. Vertical displacement of membrane proteins mediated by changes in microviscosity. Proc Natl Acad Sci U S A. 1976 Dec;73(12):4526–4530. doi: 10.1073/pnas.73.12.4526. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chapman D. Phase transitions and fluidity characteristics of lipids and cell membranes. Q Rev Biophys. 1975 May;8(2):185–235. doi: 10.1017/s0033583500001797. [DOI] [PubMed] [Google Scholar]
- Cuatrecasas P., Hollenberg M. D. Membrane receptors and hormone action. Adv Protein Chem. 1976;30:251–451. doi: 10.1016/s0065-3233(08)60481-7. [DOI] [PubMed] [Google Scholar]
- Edidin M., Fambrough D. Fluidity of the surface of cultured muscle fibers. Rapid lateral diffusion of marked surface antigens. J Cell Biol. 1973 Apr;57(1):27–37. doi: 10.1083/jcb.57.1.27. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Edidin M., Zagyansky Y., Lardner T. J. Measurement of membrane protein lateral diffusion in single cells. Science. 1976 Feb 6;191(4226):466–468. doi: 10.1126/science.1246629. [DOI] [PubMed] [Google Scholar]
- Kornberg R. D., McConnell H. M. Lateral diffusion of phospholipids in a vesicle membrane. Proc Natl Acad Sci U S A. 1971 Oct;68(10):2564–2568. doi: 10.1073/pnas.68.10.2564. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nazarea A. D. Critical length of the transport-dominated region for oscillating non-linear reactive processes. Proc Natl Acad Sci U S A. 1974 Sep;71(9):3751–3753. doi: 10.1073/pnas.71.9.3751. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nazarea A. D. Intrinsic critical length associated with oscillatory reactive processes in complex solution: hydrodynamic estimates. J Theor Biol. 1977 Jan 21;64(2):311–322. doi: 10.1016/0022-5193(77)90359-9. [DOI] [PubMed] [Google Scholar]
- Nicolson G. L. Transmembrane control of the receptors on normal and tumor cells. I. Cytoplasmic influence over surface components. Biochim Biophys Acta. 1976 Apr 13;457(1):57–108. doi: 10.1016/0304-4157(76)90014-9. [DOI] [PubMed] [Google Scholar]
- Poo M., Cone R. A. Lateral diffusion of rhodopsin in the photoreceptor membrane. Nature. 1974 Feb 15;247(5441):438–441. doi: 10.1038/247438a0. [DOI] [PubMed] [Google Scholar]
- Rogers M. J., Strittmatter P. Evidence for randon distribution and translational movement of cytochrome b5 in endoplasmic reticulum. J Biol Chem. 1974 Feb 10;249(3):895–900. [PubMed] [Google Scholar]
- Sackmann E., Träuble H., Galla H. J., Overath P. Lateral diffusion, protein mobility, and phase transitions in Escherichia coli membranes. A spin label study. Biochemistry. 1973 Dec 18;12(26):5360–5369. doi: 10.1021/bi00750a020. [DOI] [PubMed] [Google Scholar]
- Sackmann E., Träuble H. Studies of the crystalline-liquid crystalline phase transition of lipid model membranes. I. Use of spin labels and optical probes as indicators of the phase transition. J Am Chem Soc. 1972 Jun 28;94(13):4482–4491. doi: 10.1021/ja00768a013. [DOI] [PubMed] [Google Scholar]
- Saffman P. G., Delbrück M. Brownian motion in biological membranes. Proc Natl Acad Sci U S A. 1975 Aug;72(8):3111–3113. doi: 10.1073/pnas.72.8.3111. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Strittmatter P., Rogers M. J. Apparent dependence of interactions between cytochrome b5 and cytochrome b5 reductase upon translational diffusion in dimyristoyl lecithin liposomes. Proc Natl Acad Sci U S A. 1975 Jul;72(7):2658–2661. doi: 10.1073/pnas.72.7.2658. [DOI] [PMC free article] [PubMed] [Google Scholar]
- de Laat S. W., van der Saag P. T., Shinitzky M. Microviscosity modulation during the cell cycle of neuroblastoma cells. Proc Natl Acad Sci U S A. 1977 Oct;74(10):4458–4461. doi: 10.1073/pnas.74.10.4458. [DOI] [PMC free article] [PubMed] [Google Scholar]
