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Volumn 16, Issue 12, 2011, Pages 4581-4587

Fractional order analysis of Sephadex gel structures: NMR measurements reflecting anomalous diffusion

Author keywords

Diffusion; Exponential; Fractal; Fractional derivative; Magnetic resonance; Sephadex gel

Indexed keywords

DIFFUSION IN LIQUIDS; EXPONENTIAL FUNCTIONS; GELS; ION EXCHANGE; SURFACE DIFFUSION;

EID: 79960248269     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.04.002     Document Type: Article
Times cited : (32)

References (22)
  • 3
    • 34548435692 scopus 로고    scopus 로고
    • NMR survey of reflected Brownian motion
    • Grebenkov D.S. NMR survey of reflected Brownian motion. Rev Mod Phys 2007, 79:1077-1137.
    • (2007) Rev Mod Phys , vol.79 , pp. 1077-1137
    • Grebenkov, D.S.1
  • 4
    • 0031498272 scopus 로고    scopus 로고
    • Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion: part 1. Basic theory
    • Price W.S. Pulsed-field gradient nuclear magnetic resonance as a tool for studying translational diffusion: part 1. Basic theory. Concepts Magn Reson 1997, 9:299-336.
    • (1997) Concepts Magn Reson , vol.9 , pp. 299-336
    • Price, W.S.1
  • 5
    • 33645933913 scopus 로고    scopus 로고
    • Multiexponential attenuation of the CPMG spin echoes due to a geometrical confinement
    • Grebenkov D.S. Multiexponential attenuation of the CPMG spin echoes due to a geometrical confinement. J Magn Reson 2006, 180:118-126.
    • (2006) J Magn Reson , vol.180 , pp. 118-126
    • Grebenkov, D.S.1
  • 7
    • 0036788386 scopus 로고    scopus 로고
    • Human erythrocyte ghosts: exploring the origins of multiexponential water diffusion in a model biological tissue with magnetic resonance
    • Thelwall P.E., Grant S.C., Stanisz G.J., Blackband S.J. Human erythrocyte ghosts: exploring the origins of multiexponential water diffusion in a model biological tissue with magnetic resonance. Magn Reson Med 2002, 48:649-657.
    • (2002) Magn Reson Med , vol.48 , pp. 649-657
    • Thelwall, P.E.1    Grant, S.C.2    Stanisz, G.J.3    Blackband, S.J.4
  • 8
    • 0001792043 scopus 로고
    • Characterizing nonexponential spin-lattice relaxation in solid-state NMR by fitting to the stretched exponential
    • Narayanan A., Hartman J.S., Bain A.D. Characterizing nonexponential spin-lattice relaxation in solid-state NMR by fitting to the stretched exponential. J Magn Reson Ser A 1995, 112:58-65.
    • (1995) J Magn Reson Ser A , vol.112 , pp. 58-65
    • Narayanan, A.1    Hartman, J.S.2    Bain, A.D.3
  • 10
    • 0027624516 scopus 로고
    • Signal processing with fractional lower order moments: stable processes and their applications
    • Shao M., Nikias C.L. Signal processing with fractional lower order moments: stable processes and their applications. Proc IEEE 1993, 81:986-1009.
    • (1993) Proc IEEE , vol.81 , pp. 986-1009
    • Shao, M.1    Nikias, C.L.2
  • 11
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: a fractional dynamics approach
    • Metzler R., Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys Rep 2000, 339:1-77.
    • (2000) Phys Rep , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 12
    • 34948816111 scopus 로고    scopus 로고
    • Physical foundations, models, and methods of diffusion magnetic resonance imaging of the brain: a review
    • Minati L., Weglarz W.P. Physical foundations, models, and methods of diffusion magnetic resonance imaging of the brain: a review. Concepts Magn Reson Part A 2007, 30A:278-307.
    • (2007) Concepts Magn Reson Part A , vol.30 A , pp. 278-307
    • Minati, L.1    Weglarz, W.P.2
  • 13
    • 0141506097 scopus 로고    scopus 로고
    • Characterization of continuously distributed cortical water diffusion rates with a stretched exponential model
    • Bennett K.M., Schmainda K.M., Bennett R.T., Rowe D.B., Lu H., Hyde J.S. Characterization of continuously distributed cortical water diffusion rates with a stretched exponential model. Magn Reson Med 2003, 50:727-734.
    • (2003) Magn Reson Med , vol.50 , pp. 727-734
    • Bennett, K.M.1    Schmainda, K.M.2    Bennett, R.T.3    Rowe, D.B.4    Lu, H.5    Hyde, J.S.6
  • 14
    • 33746725285 scopus 로고    scopus 로고
    • Water diffusion heterogeneity index in the human brain is insensitive to the orientation of applied magnetic field gradients
    • Bennett K.M., Hyde J.S., Schmainda K.M. Water diffusion heterogeneity index in the human brain is insensitive to the orientation of applied magnetic field gradients. Magn Reson Med 2006, 56:235-239.
    • (2006) Magn Reson Med , vol.56 , pp. 235-239
    • Bennett, K.M.1    Hyde, J.S.2    Schmainda, K.M.3
  • 15
    • 40449088884 scopus 로고    scopus 로고
    • From diffusion-weighted MRI to anomalous diffusion imaging
    • Hall M.G., Barrick T.R. From diffusion-weighted MRI to anomalous diffusion imaging. Magn Reson Med 2008, 59:447-455.
    • (2008) Magn Reson Med , vol.59 , pp. 447-455
    • Hall, M.G.1    Barrick, T.R.2
  • 16
    • 0003087513 scopus 로고
    • Theory of NMR field-gradient spectroscopy for anomalous diffusion in fractal networks
    • Jug G. Theory of NMR field-gradient spectroscopy for anomalous diffusion in fractal networks. Chem Phys Lett 1986, 131:94-97.
    • (1986) Chem Phys Lett , vol.131 , pp. 94-97
    • Jug, G.1
  • 17
    • 38349041965 scopus 로고    scopus 로고
    • Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation
    • Magin R.L., Abdullah O., Baleanu D., Zhou X.J. Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation. J Magn Reson 2008, 190:255-270.
    • (2008) J Magn Reson , vol.190 , pp. 255-270
    • Magin, R.L.1    Abdullah, O.2    Baleanu, D.3    Zhou, X.J.4
  • 18
    • 77649174534 scopus 로고    scopus 로고
    • Studies of anomalous diffusion in the human brain using fractional order calculus
    • Zhou X.J., Gao Q., Abdullah O., Magin R.L. Studies of anomalous diffusion in the human brain using fractional order calculus. Magn Reson Med 2010, 63:562-569.
    • (2010) Magn Reson Med , vol.63 , pp. 562-569
    • Zhou, X.J.1    Gao, Q.2    Abdullah, O.3    Magin, R.L.4
  • 19
    • 18444369287 scopus 로고    scopus 로고
    • Time-dependent diffusion coefficient as a probe of geometry
    • Sen P.N. Time-dependent diffusion coefficient as a probe of geometry. Concepts Magn Reson 2004, 23A:1-21.
    • (2004) Concepts Magn Reson , vol.23 A , pp. 1-21
    • Sen, P.N.1
  • 20
    • 0001438288 scopus 로고    scopus 로고
    • Time dependent diffusion coefficient in a disordered medium
    • De Swiet T.M., Sen P.N. Time dependent diffusion coefficient in a disordered medium. J Chem Phys 1996, 104:206-209.
    • (1996) J Chem Phys , vol.104 , pp. 206-209
    • De Swiet, T.M.1    Sen, P.N.2
  • 21
    • 0004310880 scopus 로고    scopus 로고
    • Probing water motion in heterogeneous systems: a multi-parameter NMR approach
    • PhD Thesis, University of Wageningen
    • Van Dusschoten D. Probing water motion in heterogeneous systems: a multi-parameter NMR approach. PhD Thesis, University of Wageningen; 1996.
    • (1996)
    • Van Dusschoten, D.1
  • 22
    • 0001459578 scopus 로고
    • Measurement of the porous microstructure of hydrogels by nuclear magnetic resonance
    • Chui M.M., Phillips R.J., McCarthy M.J. Measurement of the porous microstructure of hydrogels by nuclear magnetic resonance. J Colloid Interface Sci 1995, 174:336-344.
    • (1995) J Colloid Interface Sci , vol.174 , pp. 336-344
    • Chui, M.M.1    Phillips, R.J.2    McCarthy, M.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.