Location of Repository

Microscopic simulation of membrane molecule diffusion on corralled membrane surfaces

By Anne Marie S. Niehaus, Dionisios G. Vlachos, Jeremy S. Edwards, Petr Plechac and Roger Tribe

Abstract

The current understanding of how receptors diffuse and cluster in the plasma membrane is limited. Data from single-particle tracking and laser tweezer experiments have suggested that membrane molecule diffusion is affected by the presence of barriers dividing the membrane into corrals. Here, we have developed a stochastic spatial model to simulate the effect of corrals on the diffusion of molecules in the plasma membrane. The results of this simulation confirm that a fence barrier (the ratio of the transition probability for diffusion across a boundary to that within a corral) on the order of 103–104 recreates the experimentally measured difference in diffusivity between artificial and natural plasma membranes. An expression for the macroscopic diffusivity of receptors on corralled membranes is derived to analyze the effects of the corral parameters on diffusion rate. We also examine whether the lattice model is an appropriate description of the plasma membrane and look at three different sets of boundary conditions that describe diffusion over the barriers and whether diffusion events on the plasma membrane may occur with a physically relevant length scale. Finally, we show that to observe anomalous (two-timescale) diffusion, one needs high temporal (microsecond) resolution along with sufficiently long (more than milliseconds) trajectories

Topics: QD
Publisher: Biophysical Society
Year: 2008
OAI identifier: oai:wrap.warwick.ac.uk:919

Suggested articles

Preview

Citations

  1. (2007). (Un)confined diffusion of CD59 in the plasma membrane determined by high-resolution single molecule microscopy. doi
  2. (1999). A model for membrane patchiness: lateral diffusion in the presence of barriers and vesicle traffic. doi
  3. (2001). An algorithmic introduction to numerical simulation of stochastic differential equations. doi
  4. (2007). An overview of spatial microscopic and accelerated kinetic Monte Carlo methods. doi
  5. (1995). Barriers for lateral diffusion of transferrin receptor in the plasma membrane as characterized by receptor dragging by laser tweezers: fence versus tether. doi
  6. (1975). Brownian motion in biological membranes. doi
  7. (1996). Cell surface organization by the membrane skeleton. doi
  8. (1993). Confined lateral diffusion of membrane receptors as studied by single particle tracking (nanovid microscopy). Effect of calcium-induced differentiation in cultured epithelial cells. doi
  9. (1998). Cytoplasmic regulation of the movement of E-cadherin on the free cell surface as studied by optical tweezers and single particle tracking: corralling and tethering by the membrane skeleton. doi
  10. (2005). Detection of non-Brownian diffusion in the cell membrane in single molecule tracking. doi
  11. (2006). Dynamic molecular confinement in the plasma membrane by microdomains and the cytoskeleton meshwork. doi
  12. (2004). EGF signalling amplifications induced by dynamic clustering of EGFR. doi
  13. (2001). EGFR and cancer prognosis. doi
  14. (2003). Epidermal growth factor receptor: mechanisms of activation and signaling. Exp. Cell Res. doi
  15. Exact analytic solutions for diffusion impeded by an infinite array of partially permeable barriers. doi
  16. (1991). Lateral movements of membrane glycoproteins restricted by dynamic cytoplasmic barriers. doi
  17. (1986). Milling crowd model for local and long-range obstructed lateral diffusion. doi
  18. (2004). Modular analysis of signal transduction networks. doi
  19. (2001). Monte Carlo algorithms for complex surface reaction mechanisms: efficiency and accuracy. doi
  20. (2005). Paradigm shift of the plasma membrane concept from the two-dimensional continuum fluid to the partitioned fluid: high-speed single-molecule tracking of membrane molecules. A n n u .R e v .B i o p h y s .B i o m o l .S t r u c t .34:351–378. doi
  21. Rapid hop diffusion of a G-protein-coupled receptor in the plasma membrane as revealed by single-molecule techniques. doi
  22. (1994). Sequential protein kinase reactions controlling cell growth and differentiation. doi
  23. (1995). Single-particle tracking effects of corrals. doi
  24. (2004). Spatially adaptive lattice coarse-grained Monte Carlo simulations for diffusion of interacting molecules. doi
  25. (2003). The ErbB receptors and their role in cancer progression. doi
  26. (1972). The fluid mosaic model of the structure of cell membranes. doi
  27. (1978). The null-event method in computer simulation. doi
  28. (2002). Translational diffusion of individual class II MHC membrane proteins in cells. doi
  29. (1994). Truncation mutants define and locate cytoplasmic barriers to lateral mobility of membrane glycoproteins. doi
  30. (2004). Ultrafine membrane compartments for molecular diffusion as revealed by single molecule techniques. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.