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Volumn 6, Issue 4, 2012, Pages 134-142

Anomalous diffusion and multifractional Brownian motion: Simulating molecular crowding and physical obstacles in systems biology

Author keywords

[No Author keywords available]

Indexed keywords

ANOMALOUS DIFFUSION; CONTINUOUS TIME; CONTINUOUS TIME RANDOM WALKS; DESCRIPTORS; FRACTIONAL BROWNIAN MOTION; HURST EXPONENTS; LONG-TIME BEHAVIOUR; MOLECULAR CROWDING; MULTIFRACTIONAL BROWNIAN MOTION; RANDOM WALK; SAMPLE DATA; SPATIAL CROWDING; SPATIAL DATA; STATISTICAL PROPERTIES; SYSTEMS BIOLOGY;

EID: 84863769908     PISSN: 17518849     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-syb.2011.0049     Document Type: Article
Times cited : (32)

References (43)
  • 1
    • 0037036135 scopus 로고    scopus 로고
    • A role for lipid shells in targeting proteins to caveolae, rafts, and other lipid domains
    • 10.1126/science.1068886, 0036-8075
    • Anderson, R.G., and Jacobson, K.: 'A role for lipid shells in targeting proteins to caveolae, rafts, and other lipid domains', Science, 2002, 296, (5574), p. 1821-182510.1126/science.1068886 0036-8075
    • (2002) Science , vol.296 , Issue.5574 , pp. 1821-1825
    • Anderson, R.G.1    Jacobson, K.2
  • 2
    • 0037959071 scopus 로고    scopus 로고
    • The state of lipid rafts: from model membranes to cells
    • 10.1146/annurev.biophys.32.110601.142439
    • Edidin, M.: 'The state of lipid rafts: from model membranes to cells', Annu. Rev. Biophys. Biomol. Struct., 2003, 32, p. 257-28310.1146/annurev.biophys.32.110601.142439
    • (2003) Annu. Rev. Biophys. Biomol. Struct. , vol.32 , pp. 257-283
    • Edidin, M.1
  • 3
    • 1842432088 scopus 로고    scopus 로고
    • Molecular dynamics and interactions for creation of stimulation-induced stabilized rafts from small unstable steady-state rafts
    • 10.1111/j.1600-0854.2004.0178.x
    • Kusumi, A., Koyama-Honda, I., and Suzuki, K.: 'Molecular dynamics and interactions for creation of stimulation-induced stabilized rafts from small unstable steady-state rafts', Traffic, 2004, 5, (4), p. 213-23010.1111/j.1600-0854.2004.0178.x
    • (2004) Traffic , vol.5 , Issue.4 , pp. 213-230
    • Kusumi, A.1    Koyama-Honda, I.2    Suzuki, K.3
  • 4
    • 2942662120 scopus 로고    scopus 로고
    • Ultrafine membrane compartments for molecular diffusion as revealed by single molecule techniques
    • 10.1529/biophysj.103.035717, 0006-3495
    • Murase, K., Fujiwara, T., and Umemura, Y.: et al. 'Ultrafine membrane compartments for molecular diffusion as revealed by single molecule techniques', Biophys. J., 2004, 86, (6), p. 4075-409310.1529/biophysj.103.035717 0006-3495
    • (2004) Biophys. J. , vol.86 , Issue.6 , pp. 4075-4093
    • Murase, K.1    Fujiwara, T.2    Umemura, Y.3
  • 5
    • 34548333580 scopus 로고    scopus 로고
    • Modelling and simulation techniques for membrane biology
    • 10.1093/bib/bbm033
    • Burrage, K., Hancock, J., Leier, A., and Nicolau, D.V.: 'Modelling and simulation techniques for membrane biology', Briefs Bioinform., 2007, 8, (4), p. 234-24410.1093/bib/bbm033
    • (2007) Briefs Bioinform. , vol.8 , Issue.4 , pp. 234-244
    • Burrage, K.1    Hancock, J.2    Leier, A.3    Nicolau, D.V.4
  • 6
    • 76149129015 scopus 로고    scopus 로고
    • A new multicompartmental reaction-diffusion modeling method links transient membrane attachment of E. coli MinE to E-ring formation
    • 10.1007/s11693-009-9047-2
    • Arjunan, S.N., and Tomita, M.: 'A new multicompartmental reaction-diffusion modeling method links transient membrane attachment of E. coli MinE to E-ring formation', Syst. Synth. Biol., 2010, 4, (1), p. 35-5310.1007/s11693-009-9047-2
    • (2010) Syst. Synth. Biol. , vol.4 , Issue.1 , pp. 35-53
    • Arjunan, S.N.1    Tomita, M.2
  • 7
    • 0036787587 scopus 로고    scopus 로고
    • Apparent subdiffusion inherent to single particle tracking
    • 10.1016/S0006-3495(02)73971-4, 0006-3495
    • Martin, D.S., Forstner, M.B., and Kas, J.A.: 'Apparent subdiffusion inherent to single particle tracking', Biophys. J., 2002, 83, (4), p. 2109-211710.1016/S0006-3495(02)73971-4 0006-3495
    • (2002) Biophys. J. , vol.83 , Issue.4 , pp. 2109-2117
    • Martin, D.S.1    Forstner, M.B.2    Kas, J.A.3
  • 8
    • 0002641421 scopus 로고    scopus 로고
    • The Random walker's guide to anomalous diffusion: a fractional dynamics approach
    • 10.1016/S0370-1573(00)00070-3, 0370-1573
    • Metzler, R., and Klafter, J.: 'The Random walker's guide to anomalous diffusion: a fractional dynamics approach', Phys. Rep., 2000, 339, p. 1-7710.1016/S0370-1573(00)00070-3 0370-1573
    • (2000) Phys. Rep. , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 9
    • 5544250087 scopus 로고
    • A new approximation scheme for the study of fluctuations in nonuniform nonequilibrium systems
    • 10.1016/0375-9601(79)90332-3, 0375-9601
    • Malek-Mansour, M., and Houard, J.: 'A new approximation scheme for the study of fluctuations in nonuniform nonequilibrium systems', Phys. Lett. A, 1979, 70, p. 366-36810.1016/0375-9601(79)90332-3 0375-9601
    • (1979) Phys. Lett. A , vol.70 , pp. 366-368
    • Malek-Mansour, M.1    Houard, J.2
  • 10
    • 0036789480 scopus 로고    scopus 로고
    • Monte Carlo simulations of enzyme reactions in two dimensions: fractal kinetics and spatial segregation
    • 10.1016/S0006-3495(02)73953-2, 0006-3495
    • Berry, H.: 'Monte Carlo simulations of enzyme reactions in two dimensions: fractal kinetics and spatial segregation', Biophys. J., 2002, 83, (4), p. 1891-190110.1016/S0006-3495(02)73953-2 0006-3495
    • (2002) Biophys. J. , vol.83 , Issue.4 , pp. 1891-1901
    • Berry, H.1
  • 11
    • 33947647996 scopus 로고    scopus 로고
    • Sources of anomalous diffusion on cell membranes: a Monte Carlo study
    • 10.1529/biophysj.105.076869, 0006-3495
    • Nicolau, D.V., Hancock, J.F., and Burrage, K.: 'Sources of anomalous diffusion on cell membranes: a Monte Carlo study', Biophys. J., 2007, 92, (6), p. 1975-198710.1529/biophysj.105.076869 0006-3495
    • (2007) Biophys. J. , vol.92 , Issue.6 , pp. 1975-1987
    • Nicolau, D.V.1    Hancock, J.F.2    Burrage, K.3
  • 12
    • 0032998181 scopus 로고    scopus 로고
    • Anomalous diffusion of major histocompatibility complex class I molecules on HeLa cells determined by single particle tracking
    • 10.1016/S0006-3495(99)77486-2, 0006-3495
    • Smith, P.R., Morrison, I.E., Wilson, K.M., Fernandez, N., and Cherry, R.J.: 'Anomalous diffusion of major histocompatibility complex class I molecules on HeLa cells determined by single particle tracking', Biophys. J., 1999, 76, (6), p. 3331-334410.1016/S0006-3495(99)77486-2 0006-3495
    • (1999) Biophys. J. , vol.76 , Issue.6 , pp. 3331-3344
    • Smith, P.R.1    Morrison, I.E.2    Wilson, K.M.3    Fernandez, N.4    Cherry, R.J.5
  • 13
    • 0024392570 scopus 로고
    • Rotational and translational diffusion in membranes measured by fluorescence and phosphorescence methods
    • 10.1016/S0076-6879(89)72030-9
    • Jovin, T.M., and Vaz, W.L.: 'Rotational and translational diffusion in membranes measured by fluorescence and phosphorescence methods', Meth. Enzymol., 1989, 172, p. 471-51310.1016/S0076-6879(89)72030-9
    • (1989) Meth. Enzymol. , vol.172 , pp. 471-513
    • Jovin, T.M.1    Vaz, W.L.2
  • 14
    • 0037763871 scopus 로고    scopus 로고
    • Anomalous protein diffusion in living cells as seen by fluorescence correlation spectroscopy
    • 10.1016/S0006-3495(03)75130-3, 0006-3495
    • Weiss, M., Hashimoto, H., and Nilsson, T.: 'Anomalous protein diffusion in living cells as seen by fluorescence correlation spectroscopy', Biophys. J., 2003, 84, (6), p. 4043-405210.1016/S0006-3495(03)75130-3 0006-3495
    • (2003) Biophys. J. , vol.84 , Issue.6 , pp. 4043-4052
    • Weiss, M.1    Hashimoto, H.2    Nilsson, T.3
  • 15
    • 0036500126 scopus 로고    scopus 로고
    • The involvement of lipid rafts in the regulation of integrin function
    • Leitinger, B., and Hogg, N.: 'The involvement of lipid rafts in the regulation of integrin function', J. Cell Sci., 2002, 115, (Pt 5), p. 963-972
    • (2002) J. Cell Sci. , vol.115 , Issue.PART 5 , pp. 963-972
    • Leitinger, B.1    Hogg, N.2
  • 16
    • 0034640133 scopus 로고    scopus 로고
    • Anomalous diffusion of fluorescent probes inside living cell nuclei investigated by spatially-resolved fluorescence correlation spectroscopy
    • 10.1006/jmbi.2000.3692
    • Wachsmuth, M., Waldeck, W., and Langowski, J.: 'Anomalous diffusion of fluorescent probes inside living cell nuclei investigated by spatially-resolved fluorescence correlation spectroscopy', J. Mol. Biol., 2000, 298, (4), p. 677-68910.1006/jmbi.2000.3692
    • (2000) J. Mol. Biol. , vol.298 , Issue.4 , pp. 677-689
    • Wachsmuth, M.1    Waldeck, W.2    Langowski, J.3
  • 17
    • 48249124302 scopus 로고    scopus 로고
    • Crowding effects on diffusion in solutions and cells
    • 10.1146/annurev.biophys.37.032807.125824
    • Dix, J.A., and Verkman, A.S.: 'Crowding effects on diffusion in solutions and cells', Annu. Rev. Biophys., 2008, 37, p. 247-26310.1146/annurev.biophys.37.032807.125824
    • (2008) Annu. Rev. Biophys. , vol.37 , pp. 247-263
    • Dix, J.A.1    Verkman, A.S.2
  • 18
    • 0040307478 scopus 로고
    • Anomalous diffusion in disordered media - statistical mechanisms, models and physical applications
    • 10.1016/0370-1573(90)90099-N, 0370-1573
    • Bouchaud, J.P., and Georges, A.: 'Anomalous diffusion in disordered media - statistical mechanisms, models and physical applications', Phys. Rep., 1990, 195, (4-5), p. 127-29310.1016/0370-1573(90)90099-N 0370-1573
    • (1990) Phys. Rep. , vol.195 , Issue.4-5 , pp. 127-293
    • Bouchaud, J.P.1    Georges, A.2
  • 19
    • 78651392251 scopus 로고    scopus 로고
    • Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
    • 66002-p1-66002-p610.1209/0295-5075/84/66002
    • Kammerer, A., Höfling, F., and Franosch, T.: 'Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems', Europhys. Lett., 2008, 84, (6), p. 66002-p1-66002-p610.1209/0295-5075/84/66002
    • (2008) Europhys. Lett. , vol.84 , Issue.6
    • Kammerer, A.1    Höfling, F.2    Franosch, T.3
  • 20
    • 42949169946 scopus 로고    scopus 로고
    • Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
    • 10.1063/1.2901170, 0021-9606
    • Höfling, F., Munk, T., Frey, E., and Franosch, T.: 'Critical dynamics of ballistic and Brownian particles in a heterogeneous environment', J. Chem. Phys., 2008, 128, (16), p. 16451710.1063/1.2901170 0021-9606
    • (2008) J. Chem. Phys. , vol.128 , Issue.16 , pp. 164517
    • Höfling, F.1    Munk, T.2    Frey, E.3    Franosch, T.4
  • 21
    • 68949119721 scopus 로고    scopus 로고
    • Diffusion in cytoplasm: effects of excluded volume due to internal membranes and cytoskeletal structures
    • 10.1016/j.bpj.2009.05.036, 0006-3495
    • Novak, I.L., Kraikivski, P., and Slepchenko, B.M.: 'Diffusion in cytoplasm: effects of excluded volume due to internal membranes and cytoskeletal structures', Biophys. J., 2009, 97, (3), p. 758-76710.1016/j.bpj.2009.05.036 0006-3495
    • (2009) Biophys. J. , vol.97 , Issue.3 , pp. 758-767
    • Novak, I.L.1    Kraikivski, P.2    Slepchenko, B.M.3
  • 22
    • 42749100471 scopus 로고    scopus 로고
    • Brownian particles in supramolecular polymer solutions
    • 051106-1-051106-1010.1103/PhysRevE.67.051106
    • van der Gucht, J., Besseling, N.A.M., Knoben, W., Bouteiller, L., and Stuart, M.A.C.: 'Brownian particles in supramolecular polymer solutions', Phys. Rev. E, 2003, 67, (5), p. 051106-1-051106-1010.1103/PhysRevE.67.051106
    • (2003) Phys. Rev. E , vol.67 , Issue.5
    • van der Gucht, J.1    Besseling, N.A.M.2    Knoben, W.3    Bouteiller, L.4    Stuart, M.A.C.5
  • 23
    • 77950833499 scopus 로고    scopus 로고
    • Detailed simulations of cell biology with Smoldyn 2.1
    • e100070510.1371/journal.pcbi.1000705
    • Andrews, S.S., Addy, N.J., Brent, R., and Arkin, A.P.: 'Detailed simulations of cell biology with Smoldyn 2.1', PLoS Comput. Biol., 2010, 6, (3), p. e100070510.1371/journal.pcbi.1000705
    • (2010) PLoS Comput. Biol. , vol.6 , Issue.3
    • Andrews, S.S.1    Addy, N.J.2    Brent, R.3    Arkin, A.P.4
  • 24
    • 33748520215 scopus 로고    scopus 로고
    • Stochastic simulation of chemical reactions with spatial resolution and single molecule detail
    • 10.1088/1478-3967/1/3/001, 1478-3967
    • Andrews, S.S., and Bray, D.: 'Stochastic simulation of chemical reactions with spatial resolution and single molecule detail', Phys. Biol., 2004, 1, (3-4), p. 137-15110.1088/1478-3967/1/3/001 1478-3967
    • (2004) Phys. Biol. , vol.1 , Issue.3-4 , pp. 137-151
    • Andrews, S.S.1    Bray, D.2
  • 25
    • 55149086309 scopus 로고    scopus 로고
    • Fast Monte Carlo simulation methods for biological reaction-diffusion systems in solution and on surfaces
    • 10.1137/070692017, 1064-8275
    • Kerr, R.A., Bartol, T.M., and Kaminsky, B.: et al. 'Fast Monte Carlo simulation methods for biological reaction-diffusion systems in solution and on surfaces', SIAM J. Sci. Comput., 2008, 30, (6), p. 312610.1137/070692017 1064-8275
    • (2008) SIAM J. Sci. Comput. , vol.30 , Issue.6 , pp. 3126
    • Kerr, R.A.1    Bartol, T.M.2    Kaminsky, B.3
  • 26
    • 34548681253 scopus 로고    scopus 로고
    • ChemCell: a particle-based model of protein chemistry and diffusion in microbial cells
    • Sandia National Laboratory
    • Plimpton, S.J., and Slepoy, A.: 'ChemCell: a particle-based model of protein chemistry and diffusion in microbial cells', 2003, Sandia National Laboratory
    • (2003)
    • Plimpton, S.J.1    Slepoy, A.2
  • 27
    • 0001827009 scopus 로고    scopus 로고
    • Monte Carlo methods for simulating realistic synaptic microphysiology using MCell
    • CRC Press )
    • Stiles, J.R., and Bartol, T.M.: 'Monte Carlo methods for simulating realistic synaptic microphysiology using MCell', (CRC Press 2001)
    • (2001)
    • Stiles, J.R.1    Bartol, T.M.2
  • 29
    • 40549140431 scopus 로고    scopus 로고
    • Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation
    • 10.1103/PhysRevE.77.021122
    • Fulger, D., Scalas, E., and Germano, G.: 'Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation', Phys. Rev. E Stat. Nonlin. Soft. Matter. Phys., 2008, 77, (2 Pt 1), p. 02112210.1103/PhysRevE.77.021122
    • (2008) Phys. Rev. E Stat. Nonlin. Soft. Matter. Phys. , vol.77 , Issue.2 PART 1 , pp. 021122
    • Fulger, D.1    Scalas, E.2    Germano, G.3
  • 31
    • 0042616622 scopus 로고    scopus 로고
    • Simulation of multifractional Brownian motion
    • COMPSTAT1998: Proc. Computational Statistics, 13th Symposium, Bristol, UK, 1998
    • Chan, G., and Wood, A.T.A.: 'Simulation of multifractional Brownian motion', 1998, p. 233-238 COMPSTAT1998: Proc. Computational Statistics, 13th Symposium, Bristol, UK, 1998
    • (1998) , pp. 233-238
    • Chan, G.1    Wood, A.T.A.2
  • 32
    • 0003879309 scopus 로고
    • Multifractional Brownian motion: definition and preliminary results
    • INRIA, France
    • Peltier, R.F., and Lévy-Véhel, J.: 'Multifractional Brownian motion: definition and preliminary results', 1995), INRIA, France
    • (1995)
    • Peltier, R.F.1    Lévy-Véhel, J.2
  • 33
    • 85032751940 scopus 로고    scopus 로고
    • Stochastic fractal models for image processing
    • 10.1109/MSP.2002.1028352
    • Pesquet-Popescu, B., and Lévy-Véhel, J.: 'Stochastic fractal models for image processing', IEEE Signal Process., 2002, 19, (5), p. 48-6210.1109/MSP.2002.1028352
    • (2002) IEEE Signal Process. , vol.19 , Issue.5 , pp. 48-62
    • Pesquet-Popescu, B.1    Lévy-Véhel, J.2
  • 34
    • 21344440953 scopus 로고
    • Fractal approaches in signal processing
    • 10.1142/S0218348X95000679, 0218-348X
    • Lévy-Véhel, J.: 'Fractal approaches in signal processing', Fractals, 1995, 3, p. 755-77510.1142/S0218348X95000679 0218-348X
    • (1995) Fractals , vol.3 , pp. 755-775
    • Lévy-Véhel, J.1
  • 35
    • 84872647788 scopus 로고    scopus 로고
    • Fast change point analysis on the Hurst index of piecewise fractional Brownian motion
    • Proceedings: Journée de Statistiques 2011, Tunisia
    • Fhima, M., Guillin, A., and Bertrand, P.R.: 'Fast change point analysis on the Hurst index of piecewise fractional Brownian motion', 2011), Proceedings: Journée de Statistiques 2011, Tunisia
    • (2011)
    • Fhima, M.1    Guillin, A.2    Bertrand, P.R.3
  • 36
    • 78751668316 scopus 로고    scopus 로고
    • Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking
    • 10.1039/c0cp01879a
    • Burov, S., Jeon, J.H., Metzler, R., and Barkai, E.: 'Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking', Phys. Chem. Chem. Phys., 2011, 13, (5), p. 1800-181210.1039/c0cp01879a
    • (2011) Phys. Chem. Chem. Phys. , vol.13 , Issue.5 , pp. 1800-1812
    • Burov, S.1    Jeon, J.H.2    Metzler, R.3    Barkai, E.4
  • 37
    • 0033167917 scopus 로고    scopus 로고
    • Fluorescence correlation spectroscopy with single-molecule sensitivity on cell and model membranes
    • 10.1002/(SICI)1097-0320(19990701)36:3<176::AID-CYTO5>3.0.CO;2-F
    • Schwille, P., Korlach, J., and Webb, W.W.: 'Fluorescence correlation spectroscopy with single-molecule sensitivity on cell and model membranes', Cytometry, 1999, 36, (3), p. 176-18210.1002/(SICI)1097-0320(19990701)36:3<176::AID-CYTO5>3.0.CO;2-F
    • (1999) Cytometry , vol.36 , Issue.3 , pp. 176-182
    • Schwille, P.1    Korlach, J.2    Webb, W.W.3
  • 38
    • 76649121192 scopus 로고    scopus 로고
    • Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries
    • 10.1103/PhysRevE.81.021103, 1063-651X
    • Jeon, J.H., and Metzler, R.: 'Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries', Phys. Rev. E Stat. Nonlinear Soft Matter Phys., 2010, 81, (2 Pt 1), p. 02110310.1103/PhysRevE.81.021103 1063-651X
    • (2010) Phys. Rev. E Stat. Nonlinear Soft Matter Phys. , vol.81 , Issue.2 PART 1 , pp. 021103
    • Jeon, J.H.1    Metzler, R.2
  • 39
    • 84872674330 scopus 로고    scopus 로고
    • Signal and Image processing with FracLab
    • FRACTAL04, Complexity and fractals in Nature, 8th International Multidisciplinary Conference. Thinking in patterns: fractals and related phenomena in nature, Novak (Ed.), 2004 321-322. (World Scientific, Singapore)
    • Lévy-Véhel, J., and Legrand, P.: 'Signal and Image processing with FracLab', FRACTAL04, Complexity and fractals in Nature, 8th International Multidisciplinary Conference. Thinking in patterns: fractals and related phenomena in nature, Novak (Ed.), 2004, pp. 321-322. (World Scientific, Singapore)
    • Lévy-Véhel, J.1    Legrand, P.2
  • 40
    • 84872662370 scopus 로고    scopus 로고
    • http://fractales.inria.fr
  • 41
    • 1642549817 scopus 로고    scopus 로고
    • Identification of the Hurst index of a step fractional Brownian motion
    • 10.1023/A:1009997729317
    • Benassi, A., Bertrand, P.R., Cohen, S., and Istas, J.: 'Identification of the Hurst index of a step fractional Brownian motion', Stat. Inference Stoch. Process., 2000, 3, (1-2), p. 101-11110.1023/A:1009997729317
    • (2000) Stat. Inference Stoch. Process. , vol.3 , Issue.1-2 , pp. 101-111
    • Benassi, A.1    Bertrand, P.R.2    Cohen, S.3    Istas, J.4
  • 42
    • 34249745727 scopus 로고    scopus 로고
    • A method for selecting the bin size of a time histogram
    • 10.1162/neco.2007.19.6.1503, 0899-7667
    • Shimazaki, H., and Shinomoto, S.: 'A method for selecting the bin size of a time histogram', Neural Comput., 2007, 19, (6), p. 1503-152710.1162/neco.2007.19.6.1503 0899-7667
    • (2007) Neural Comput. , vol.19 , Issue.6 , pp. 1503-1527
    • Shimazaki, H.1    Shinomoto, S.2
  • 43
    • 70449409239 scopus 로고    scopus 로고
    • Modeling single-file diffusion by step fractional Brownian motion and a generalized fractional Langevin equation
    • P0801510.1088/1742-5468/2009/08/P08015
    • Lim, S.C., and Teo, L.P.: 'Modeling single-file diffusion by step fractional Brownian motion and a generalized fractional Langevin equation', J. Stat. Mech., 2009, p. P0801510.1088/1742-5468/2009/08/P08015
    • (2009) J. Stat. Mech.
    • Lim, S.C.1    Teo, L.P.2


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