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Size and composition of membrane protein clusters predicted by Monte Carlo analysis

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Abstract

Biological membranes contain a high density of protein molecules, many of which associate into two-dimensional microdomains with important physiological functions. We have used Monte Carlo simulations to examine the self-association of idealized protein species in two dimensions. The proteins have defined bond strengths and bond angles, allowing us to estimate the size and composition of the aggregates they produce at equilibrium. With a single species of protein, the extent of cluster formation and the sizes of individual clusters both increase in non-linear fashion, showing a “phase change” with protein concentration and bond strength. With multiple co-aggregating proteins, we find that the extent of cluster formation also depends on the relative proportions of participating species. For some lattice geometries, a stoichiometric excess of particular species depresses cluster formation and moreover distorts the composition of clusters that do form. Our results suggest that the self-assembly of microdomains might require a critical level of subunits and that for optimal co-aggregation, proteins should be present in the membrane in the correct stoichiometric ratios.

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References

  • Abruzzi KC, Smith A, Chen W, Solomon F (2002) Protection from free β-tubulin by the β-tubulin binding protein Rb12p. Mol Cell Biol 22:138–147

    Article  CAS  PubMed  Google Scholar 

  • Alberts B, Bray D, Hopkin K, Johnson A, Lewis J, Raff M, Roberts K, Walter P (2004) Essential cell biology, 2nd edn. Garland, New York

  • Bray D, Bourret RB (1995) Computer analysis of the binding reactions leading to a transmembrane receptor-linked multiprotein complex involved in bacterial chemotaxis. Mol Biol Cell 6:1367–1380

    CAS  PubMed  Google Scholar 

  • Bray D, Lay SW (1997) Computer-based analysis of the binding steps in protein complex formation. Proc Natl Acad Sci USA 94:13493–13498

    Article  CAS  PubMed  Google Scholar 

  • Bren A, Eisenbach M (2000) How signals are heard during bacterial chemotaxis: protein-protein interactions in sensory signal propagation. J Bacteriol 182:6865–6873

    Article  CAS  PubMed  Google Scholar 

  • Choquet D, Triller A (2003) The role of receptor diffusion in the organization of the postsynaptic membrane. Nat Rev Neurosci 4:251–265

    Article  CAS  PubMed  Google Scholar 

  • Davis MM, Krogsgaard M, Huppa JB, Sumen C, Purbhoo MA, Irvine DJ, Wu LC, Ehrlich L (2003) Dynamics of cell surface molecules during T cell recognition. Annu Rev Biochem 72:717–742

    Article  CAS  PubMed  Google Scholar 

  • Escheverri CJ, Paschal BM, Vaughan KT, Vallee RB (1996) Molecular characterisation of the 50-kD subunit of dynactin reveals function for the complex in chromosome alignment and spindle organization during mitosis. J Cell Biol 132:617–633

    PubMed  Google Scholar 

  • Gil T, Ipsen JH, Mouritsen OG, Sabra MC, Sperotto MM, Zuckermann MJ (1998) Theoretical analysis of protein organization in lipid membranes. Biochim Biophys Acta 1376:245–266

    CAS  PubMed  Google Scholar 

  • Gründling A, Manson MD, Young R (2001) Holins kill without warning. Proc Natl Acad Sci USA 98:9348–9352

    Article  PubMed  Google Scholar 

  • Israelachvili JN (1992) Intermolecular and surface forces, 2nd edn. Academic Press, London

  • Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671–680

    MathSciNet  Google Scholar 

  • Lamb TD (1994) Stochastic simulation of activation in the G-protein cascade of phototransduction. Biophys J 67:1439–1453

    CAS  PubMed  Google Scholar 

  • Levit MN, Grebe TW, Stock JB (2002) Organization of the receptor-kinase signaling array that regulates Escherichia coli chemotaxis. J Biol Chem 277:36748–36754

    Article  CAS  PubMed  Google Scholar 

  • Liu JD, Parkinson JS (1989) Role of CheW protein in coupling membrane receptors to the intracellular signaling system of bacterial chemotaxis. Proc Natl Acad Sci USA 86:8703–8707

    CAS  PubMed  Google Scholar 

  • Maddock JR, Shapiro L (1993) Polar location of the chemoreceptor complex in the Escherichia coli cell. Science 259:1717–1723

    CAS  PubMed  Google Scholar 

  • Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equations of state calculations by fast computing machines. J Chem Phys 21:1087–1092

    CAS  Google Scholar 

  • Newman MEJ, Barkema GT (1999) Monte Carlo methods in statistical physics. Oxford University Press, Oxford

  • Papp B, Pál C, Hurst LD (2003) Dosage sensitivity and the evolution of gene families in yeast. Nature 424:194–197

    Article  CAS  PubMed  Google Scholar 

  • Poo M-M, Cone RA (1974) Lateral diffusion of rhodopsin in the photoreceptor membrane. Nature 247:438–441

    PubMed  Google Scholar 

  • Stevens RC, Davis TN (1998) M1c1p is a light chain for the unconventional myosin Myo2p in Saccharomyces cerevisiae. J Cell Biol 142:711–722

    Article  CAS  PubMed  Google Scholar 

  • Wang IN, Smith DL, Young R (2000) Holins: the protein clocks of bacteriophage infections. Annu Rev Microbiol 54:799–825

    Article  CAS  PubMed  Google Scholar 

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Acknowledgements

We are grateful to Matthew Levin for useful suggestions. Supported by NIGMS grant GM64713.

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Correspondence to Dennis Bray.

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Goldman, J., Andrews, S. & Bray, D. Size and composition of membrane protein clusters predicted by Monte Carlo analysis. Eur Biophys J 33, 506–512 (2004). https://doi.org/10.1007/s00249-004-0391-6

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  • DOI: https://doi.org/10.1007/s00249-004-0391-6

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