메뉴 건너뛰기




Volumn 99, Issue 5, 2010, Pages 1490-1499

Two-dimensional continuum percolation threshold for diffusing particles of nonzero radius

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77956592451     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1016/j.bpj.2010.06.033     Document Type: Article
Times cited : (44)

References (46)
  • 2
    • 33749428018 scopus 로고    scopus 로고
    • Size-dependent diffusion of membrane inclusions
    • Guigas, G., and M. Weiss. 2006. Size-dependent diffusion of membrane inclusions. Biophys. J. 91:2393-2398.
    • (2006) Biophys. J. , vol.91 , pp. 2393-2398
    • Guigas, G.1    Weiss, M.2
  • 3
    • 17844364513 scopus 로고    scopus 로고
    • 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
    • Kusumi, A., C. Nakada, T. Fujiwara. 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. Annu. Rev. Biophys. Biomol. Struct. 34:351-378.
    • (2005) Annu. Rev. Biophys. Biomol. Struct. , vol.34 , pp. 351-378
    • Kusumi, A.1    Nakada, C.2    Fujiwara, T.3
  • 4
    • 43949090857 scopus 로고    scopus 로고
    • Elastic modeling of biomembranes and lipid bilayers
    • Brown, F. L. H. 2008. Elastic modeling of biomembranes and lipid bilayers. Annu. Rev. Phys. Chem. 59:685-712.
    • (2008) Annu. Rev. Phys. Chem. , vol.59 , pp. 685-712
    • Brown, F.L.H.1
  • 5
    • 68949119721 scopus 로고    scopus 로고
    • Diffusion in cytoplasm: Effects of excluded volume due to internal membranes and cytoskeletal structures
    • Novak, I. L., P. Kraikivski, and B. M. Slepchenko. 2009. Diffusion in cytoplasm: effects of excluded volume due to internal membranes and cytoskeletal structures. Biophys. J. 97:758-767.
    • (2009) Biophys. J. , vol.97 , pp. 758-767
    • Novak, I.L.1    Kraikivski, P.2    Slepchenko, B.M.3
  • 6
    • 0027163092 scopus 로고
    • Lateral diffusion in an archipelago. Dependence on tracer size
    • Saxton, M. J. 1993. Lateral diffusion in an archipelago. Dependence on tracer size. Biophys. J. 64:1053-1062.
    • (1993) Biophys. J. , vol.64 , pp. 1053-1062
    • Saxton, M.J.1
  • 7
    • 78649276524 scopus 로고    scopus 로고
    • Slow dynamics in random media: Crossover from glass to localization transition
    • Kim, K., K. Miyazaki, and S. Saito. 2009. Slow dynamics in random media: crossover from glass to localization transition. EPL. 88:36002.
    • (2009) EPL , vol.88 , pp. 36002
    • Kim, K.1    Miyazaki, K.2    Saito, S.3
  • 9
    • 85031334182 scopus 로고    scopus 로고
    • Percolation thresholds for diffusing particles of nonzero radius: Circular obstacles in the two-dimensional continuum
    • abstract
    • Saxton, M. J. 2009. Percolation thresholds for diffusing particles of nonzero radius: circular obstacles in the two-dimensional continuum. Biophys. J. 96:152a (abstract).
    • (2009) Biophys. J. , vol.96
    • Saxton, M.J.1
  • 10
    • 36149046467 scopus 로고
    • Equivalence of the void percolation problem for overlapping spheres and a network problem
    • Kerstein, A. R. 1983. Equivalence of the void percolation problem for overlapping spheres and a network problem. J. Phys. A. 16:3071-3075.
    • (1983) J. Phys. A , vol.16 , pp. 3071-3075
    • Kerstein, A.R.1
  • 11
    • 0000274653 scopus 로고
    • Critical properties of the void percolation problem for spheres
    • Elam, W. T., A. R. Kerstein, and J. J. Rehr. 1984. Critical properties of the void percolation problem for spheres. Phys. Rev. Lett. 52:1516-1519.
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1516-1519
    • Elam, W.T.1    Kerstein, A.R.2    Rehr, J.J.3
  • 12
    • 34748864359 scopus 로고
    • A "retraction" method for planning the motion of a disk
    • O'Dúnlaing, C., and C. K. Yap. 1985. A "retraction" method for planning the motion of a disk. J. Algorithms. 6:104-111.
    • (1985) J. Algorithms , vol.6 , pp. 104-111
    • O'Dúnlaing, C.1    Yap, C.K.2
  • 13
    • 0002685174 scopus 로고
    • Algorithmic motion planning in robotics
    • Algorithms and Complexity. J. van Leeuwen, editor. Elsevier Science Publishers, Amsterdam, The Netherlands
    • Schwartz, J. T., and M. Sharir. 1990. Algorithmic motion planning in robotics. In Handbook of Theoretical Computer Science, Vol. A, Algorithms and Complexity. J. van Leeuwen, editor. Elsevier Science Publishers, Amsterdam, The Netherlands.
    • (1990) Handbook of Theoretical Computer Science , vol.A
    • Schwartz, J.T.1    Sharir, M.2
  • 14
    • 33746586309 scopus 로고
    • Continuum percolation of disks and the random lattice
    • McCarthy, J. F. 1987. Continuum percolation of disks and the random lattice. Phys. Rev. Lett. 58:2242-2244.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2242-2244
    • McCarthy, J.F.1
  • 15
    • 0000314690 scopus 로고
    • Differences between lattice and continuum percolation transport exponents
    • Halperin, B. I., S. Feng, and P. N. Sen. 1985. Differences between lattice and continuum percolation transport exponents. Phys. Rev. Lett. 54:2391-2394.
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 2391-2394
    • Halperin, B.I.1    Feng, S.2    Sen, P.N.3
  • 16
    • 0009312584 scopus 로고
    • Diffusion and long-time tails in the overlapping Lorentz gas
    • Machta, J., and S. M. Moore. 1985. Diffusion and long-time tails in the overlapping Lorentz gas. Phys. Rev. A. 32:3164-3167.
    • (1985) Phys. Rev. A , vol.32 , pp. 3164-3167
    • Machta, J.1    Moore, S.M.2
  • 17
    • 14344267248 scopus 로고
    • Transport properties of continuum systems near the percolation threshold
    • Feng, S., B. I. Halperin, and P. N. Sen. 1987. Transport properties of continuum systems near the percolation threshold. Phys. Rev. B Condens. Matter. 35:197-214.
    • (1987) Phys. Rev. B. Condens. Matter. , vol.35 , pp. 197-214
    • Feng, S.1    Halperin, B.I.2    Sen, P.N.3
  • 18
    • 33646344734 scopus 로고    scopus 로고
    • Localization transition of the three-dimensional Lorentz model and continuum percolation
    • Höfling, F., T. Franosch, and E. Frey. 2006. Localization transition of the three-dimensional Lorentz model and continuum percolation. Phys. Rev. Lett. 96:165901.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 165901
    • Höfling, F.1    Franosch, T.2    Frey, E.3
  • 19
    • 34147155781 scopus 로고    scopus 로고
    • Crossover in the slow decay of dynamic correlations in the Lorentz model
    • Höfling, F., and T. Franosch. 2007. Crossover in the slow decay of dynamic correlations in the Lorentz model. Phys. Rev. Lett. 98:140601.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 140601
    • Höfling, F.1    Franosch, T.2
  • 20
    • 42949169946 scopus 로고    scopus 로고
    • Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
    • Höfling, F., T. Munk, T. Franosch. 2008. Critical dynamics of ballistic and Brownian particles in a heterogeneous environment. J. Chem. Phys. 128:164517.
    • (2008) J. Chem. Phys. , vol.128 , pp. 164517
    • Höfling, F.1    Munk, T.2    Franosch, T.3
  • 21
    • 33744958820 scopus 로고    scopus 로고
    • Lateral diffusion and percolation in membranes
    • Sung, B. J., and A. Yethiraj. 2006. Lateral diffusion and percolation in membranes. Phys. Rev. Lett. 96:228103.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 228103
    • Sung, B.J.1    Yethiraj, A.2
  • 22
    • 42649105093 scopus 로고    scopus 로고
    • The effect of matrix structure on the diffusion of fluids in porous media
    • Sung, B. J., and A. Yethiraj. 2008. The effect of matrix structure on the diffusion of fluids in porous media. J. Chem. Phys. 128:054702.
    • (2008) J. Chem. Phys. , vol.128 , pp. 054702
    • Sung, B.J.1    Yethiraj, A.2
  • 23
    • 38649085603 scopus 로고    scopus 로고
    • Lateral diffusion of proteins in the plasma membrane: Spatial tessellation and percolation theory
    • Sung, B. J., and A. Yethiraj. 2008. Lateral diffusion of proteins in the plasma membrane: spatial tessellation and percolation theory. J. Phys. Chem. B. 112:143-149.
    • (2008) J. Phys. Chem. B. , vol.112 , pp. 143-149
    • Sung, B.J.1    Yethiraj, A.2
  • 24
    • 58749115774 scopus 로고    scopus 로고
    • Robust pore size analysis of filamentous networks from three-dimensional confocal microscopy
    • Mickel, W., S. Münster, G. E. Schröder-Turk. 2008. Robust pore size analysis of filamentous networks from three-dimensional confocal microscopy. Biophys. J. 95:6072-6080.
    • (2008) Biophys. J. , vol.95 , pp. 6072-6080
    • Mickel, W.1    Münster, S.2    Schröder-Turk, G.E.3
  • 25
    • 70449342728 scopus 로고    scopus 로고
    • Percolation thresholds on twodimensional Voronoi networks and Delaunay triangulations
    • Becker, A. M., and R. M. Ziff. 2009. Percolation thresholds on twodimensional Voronoi networks and Delaunay triangulations. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 80:041101.
    • (2009) Phys. Rev. E Stat. Nonlin. Soft Matter. Phys. , vol.80 , pp. 041101
    • Becker, A.M.1    Ziff, R.M.2
  • 26
    • 11644250746 scopus 로고
    • Trapping of finite-sized Brownian particles in porous media
    • Torquato, S. 1991. Trapping of finite-sized Brownian particles in porous media. J. Chem. Phys. 95:2838-2841.
    • (1991) J. Chem. Phys. , vol.95 , pp. 2838-2841
    • Torquato, S.1
  • 27
    • 0003845382 scopus 로고    scopus 로고
    • 2nd Ed. Cambridge University Press, Cambridge, UK
    • O'Rourke, J. 1998. Computational Geometry in C, 2nd Ed. Cambridge University Press, Cambridge, UK.
    • (1998) Computational Geometry in C
    • O'Rourke, J.1
  • 31
    • 9344254317 scopus 로고    scopus 로고
    • Non-Gaussian behavior and the dynamical complexity of particle motion in a dense two-dimensional liquid
    • Hurley, M. M., and P. Harrowell. 1996. Non-Gaussian behavior and the dynamical complexity of particle motion in a dense two-dimensional liquid. J. Chem. Phys. 105:10521-10526.
    • (1996) J. Chem. Phys. , vol.105 , pp. 10521-10526
    • Hurley, M.M.1    Harrowell, P.2
  • 32
    • 36248982010 scopus 로고    scopus 로고
    • Asymmetry in the percolation thresholds of fully penetrable disks with two different radii
    • Quintanilla, J. A., and R. M. Ziff. 2007. Asymmetry in the percolation thresholds of fully penetrable disks with two different radii. Phys. Rev. EStat. Nonlin. Soft Matter Phys. 76:051115.
    • (2007) Phys. Rev. EStat. Nonlin. Soft Matter. Phys. , vol.76 , pp. 051115
    • Quintanilla, J.A.1    Ziff, R.M.2
  • 34
    • 35448949802 scopus 로고    scopus 로고
    • The influence of potential softness on the transport coefficients of simple fluids
    • Heyes, D. M., and A. C. Branka. 2005. The influence of potential softness on the transport coefficients of simple fluids. J. Chem. Phys. 122:234504.
    • (2005) J. Chem. Phys. , vol.122 , pp. 234504
    • Heyes, D.M.1    Branka, A.C.2
  • 35
    • 16244389959 scopus 로고    scopus 로고
    • Transport coefficients of soft sphere fluids
    • Heyes, D. M., and A. C. Branka. 2005. Transport coefficients of soft sphere fluids. Phys. Chem. Chem. Phys. 7:1220-1227.
    • (2005) Phys. Chem. Chem. Phys. , vol.7 , pp. 1220-1227
    • Heyes, D.M.1    Branka, A.C.2
  • 37
    • 0021984489 scopus 로고
    • A comparison of the translational diffusion of a monomer and an oligomer of the acetylcholine receptor protein reconstituted into soybean lipid bilayers
    • Vaz, W. L. C, and M. Criado. 1985. A comparison of the translational diffusion of a monomer and an oligomer of the acetylcholine receptor protein reconstituted into soybean lipid bilayers. Biochim. Biophys. Acta. 819:18-22.
    • (1985) Biochim. Biophys. Acta , vol.819 , pp. 18-22
    • Vaz, W.L.C.1    Criado, M.2
  • 38
    • 0037342278 scopus 로고    scopus 로고
    • The lateral diffusion of selectively aggregated peptides in giant unilamellar vesicles
    • Lee, C. C., M. Revington, N. O. Petersen. 2003. The lateral diffusion of selectively aggregated peptides in giant unilamellar vesicles. Biophys. J. 84:1756-1764.
    • (2003) Biophys. J. , vol.84 , pp. 1756-1764
    • Lee, C.C.1    Revington, M.2    Petersen, N.O.3
  • 39
    • 0030734904 scopus 로고    scopus 로고
    • Effects of size of macrocyclic polyamides on their rate of diffusion in model membranes
    • Liu, C. H., A. Paprica, and N. O. Petersen. 1997. Effects of size of macrocyclic polyamides on their rate of diffusion in model membranes. Biophys. J. 73:2580-2587.
    • (1997) Biophys. J. , vol.73 , pp. 2580-2587
    • Liu, C.H.1    Paprica, A.2    Petersen, N.O.3
  • 40
    • 68849112331 scopus 로고    scopus 로고
    • Transient anomalous diffusion of telomeres in the nucleus of mammalian cells
    • Bronstein, I., Y. Israel, Y. Garini. 2009. Transient anomalous diffusion of telomeres in the nucleus of mammalian cells. Phys. Rev. Lett. 103:018102.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 018102
    • Bronstein, I.1    Israel, Y.2    Garini, Y.3
  • 41
    • 70350763863 scopus 로고    scopus 로고
    • Fractional Brownian motion versus the continuous-time random walk: A simple test for subdiffusive dynamics
    • Magdziarz, M., A. Weron, J. Klafter. 2009. Fractional Brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics. Phys. Rev. Lett. 103:180602.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 180602
    • Magdziarz, M.1    Weron, A.2    Klafter, J.3
  • 42
    • 68749091192 scopus 로고    scopus 로고
    • Elucidating the origin of anomalous diffusion in crowded fluids
    • Szymanski, J., and M. Weiss. 2009. Elucidating the origin of anomalous diffusion in crowded fluids. Phys. Rev. Lett. 103:038102.
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 038102
    • Szymanski, J.1    Weiss, M.2
  • 43
    • 77950686225 scopus 로고    scopus 로고
    • Quantitative analysis of single particle trajectories: Mean maximal excursion method
    • Tejedor, V., O. Bénichou, R. Metzler. 2010. Quantitative analysis of single particle trajectories: mean maximal excursion method. Biophys. J. 98:1364-1372.
    • (2010) Biophys. J. , vol.98 , pp. 1364-1372
    • Tejedor, V.1    Bénichou, O.2    Metzler, R.3
  • 44
    • 77953494844 scopus 로고    scopus 로고
    • Bacterial chromosomal loci move subdiffusively through a viscoelastic cytoplasm
    • Weber, S. C., A. J. Spakowitz, and J. A. Theriot. 2010. Bacterial chromosomal loci move subdiffusively through a viscoelastic cytoplasm. Phys. Rev. Lett. 104:238102.
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 238102
    • Weber, S.C.1    Spakowitz, A.J.2    Theriot, J.A.3
  • 45
    • 48249124302 scopus 로고    scopus 로고
    • Crowding effects on diffusion in solutions and cells
    • Dix, J. A., and A. S. Verkman. 2008. Crowding effects on diffusion in solutions and cells. Annu. Rev. Biophys. 37:247-263.
    • (2008) Annu. Rev. Biophys. , vol.37 , pp. 247-263
    • Dix, J.A.1    Verkman, A.S.2
  • 46
    • 0028140412 scopus 로고
    • Anomalous diffusion due to obstacles: A Monte Carlo study
    • Saxton, M. J. 1994. Anomalous diffusion due to obstacles: a Monte Carlo study. Biophys. J. 66:394-401.
    • (1994) Biophys. J. , vol.66 , pp. 394-401
    • Saxton, M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.