메뉴 건너뛰기




Volumn 23, Issue 7, 2010, Pages 711-724

Monte Carlo study of a two-compartment exchange model of diffusion

Author keywords

Axon; Diffusion; Diffusion weighted imaging; Exchange; K rger model; Kurtosis; Monte Carlo; Permeability

Indexed keywords

AXON; DIFFUSION-WEIGHTED IMAGING; EXCHANGE; KURTOSIS; MONTE CARLO; PERMEABILITY;

EID: 78650484475     PISSN: 09523480     EISSN: 10991492     Source Type: Journal    
DOI: 10.1002/nbm.1577     Document Type: Article
Times cited : (207)

References (58)
  • 1
    • 0035052317 scopus 로고    scopus 로고
    • The effects of microscopic tissue parameters on the diffusion weighted magnetic resonance imaging experiment
    • Norris DG. The effects of microscopic tissue parameters on the diffusion weighted magnetic resonance imaging experiment. NMR Biomed. 2001; 14: 77-93.
    • (2001) NMR Biomed. , vol.14 , pp. 77-93
    • Norris, D.G.1
  • 2
    • 0036868692 scopus 로고    scopus 로고
    • The basis of anisotropic water diffusion in the nervous system - a technical review
    • Beaulieu C. The basis of anisotropic water diffusion in the nervous system - a technical review. NMR Biomed. 2002; 15: 435-455.
    • (2002) NMR Biomed. , vol.15 , pp. 435-455
    • Beaulieu, C.1
  • 3
    • 78649442708 scopus 로고    scopus 로고
    • Theoretical models of the diffusion weighted MR signal
    • DOI, 10.1002/nbm.1520.
    • Yablonskiy DA, Sukstanskii AL. Theoretical models of the diffusion weighted MR signal. NMR Biomed. 2010; DOI: 10.1002/nbm.1520.
    • (2010) NMR Biomed.
    • Yablonskiy, D.A.1    Sukstanskii, A.L.2
  • 5
    • 4244040916 scopus 로고
    • Diffusion propagator as a probe of the structure of porous media
    • Mitra PP, Sen PN, Schwartz LM, Le Doussal P. Diffusion propagator as a probe of the structure of porous media. Phys. Rev. Lett. 1992; 68: 3555-3558.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 3555-3558
    • Mitra, P.P.1    Sen, P.N.2    Schwartz, L.M.3    Le Doussal, P.4
  • 6
    • 0028907557 scopus 로고
    • Theoretical model for water diffusion in tissues
    • Szafer A, Zhong J, Gore JC. Theoretical model for water diffusion in tissues. Magn. Reson. Med. 1995; 33: 697-712.
    • (1995) Magn. Reson. Med. , vol.33 , pp. 697-712
    • Szafer, A.1    Zhong, J.2    Gore, J.C.3
  • 10
    • 7544245274 scopus 로고    scopus 로고
    • New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter
    • Assaf Y, Freidlin RZ, Rohde GK, Basser PJ. New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter. Magn. Reson. Med. 2004; 52: 965-978.
    • (2004) Magn. Reson. Med. , vol.52 , pp. 965-978
    • Assaf, Y.1    Freidlin, R.Z.2    Rohde, G.K.3    Basser, P.J.4
  • 11
    • 27744518351 scopus 로고    scopus 로고
    • A model for diffusion in white matter in the brain
    • Sen PN, Basser PJ. A model for diffusion in white matter in the brain. Biophys. J. 2005; 89: 2927-2938.
    • (2005) Biophys. J. , vol.89 , pp. 2927-2938
    • Sen, P.N.1    Basser, P.J.2
  • 12
    • 59249096110 scopus 로고    scopus 로고
    • Axcaliber: an MRI method to measure the diameter distribution and density of axons in neuronal tissue
    • Basser PJ, Blumenfeld T, Levin G, Yovel Y, Assaf Y. Axcaliber: an MRI method to measure the diameter distribution and density of axons in neuronal tissue. Magn. Reson. Imaging, 2007; 25: 550.
    • (2007) Magn. Reson. Imaging , vol.25 , pp. 550
    • Basser, P.J.1    Blumenfeld, T.2    Levin, G.3    Yovel, Y.4    Assaf, Y.5
  • 13
    • 49049091152 scopus 로고    scopus 로고
    • A general framework for experiment design in diffusion MRI and its application in measuring direct tissue-microstructure features
    • Alexander DC. A general framework for experiment design in diffusion MRI and its application in measuring direct tissue-microstructure features. Magn. Reson. Med. 2008; 60: 439-448.
    • (2008) Magn. Reson. Med. , vol.60 , pp. 439-448
    • Alexander, D.C.1
  • 14
    • 78650430340 scopus 로고    scopus 로고
    • Random walk with barriers: Diffusion restricted by random permeable membranes., preprint arXiv:1004.2701
    • Novikov DS, Fieremans E, Jensen JH, Helpern JA. Random walk with barriers: Diffusion restricted by random permeable membranes. 2010; preprint arXiv:1004.2701.
    • (2010)
    • Novikov, D.S.1    Fieremans, E.2    Jensen, J.H.3    Helpern, J.A.4
  • 15
    • 78650423639 scopus 로고    scopus 로고
    • Effective medium theory of a diffusion-weighted signal
    • in press.
    • Novikov DS, Kiselev VG. Effective medium theory of a diffusion-weighted signal. NMR Biomed 2010; in press.
    • (2010) NMR Biomed
    • Novikov, D.S.1    Kiselev, V.G.2
  • 16
    • 0011099660 scopus 로고
    • Nuclear magnetic resonance studies in multiple phase systems: lifetime of a water molecule in an adsorbing phase on silica gel
    • Zimmerman JR, Brittin WE. Nuclear magnetic resonance studies in multiple phase systems: lifetime of a water molecule in an adsorbing phase on silica gel. J. Phys. Chem. 1957; 61: 1328-1333.
    • (1957) J. Phys. Chem. , vol.61 , pp. 1328-1333
    • Zimmerman, J.R.1    Brittin, W.E.2
  • 17
    • 0010957050 scopus 로고
    • Reaction rates by nuclear magnetic resonance
    • McConnell HM. Reaction rates by nuclear magnetic resonance. J. Chem. Phys. 1958; 28: 430-431.
    • (1958) J. Chem. Phys. , vol.28 , pp. 430-431
    • McConnell, H.M.1
  • 18
    • 0020801169 scopus 로고
    • NMR self-diffusion studies in heterogeneous systems
    • Kärger J. NMR self-diffusion studies in heterogeneous systems. Adv. Colloid. Interfac. 1985; 23: 129-148.
    • (1985) Adv. Colloid. Interfac. , vol.23 , pp. 129-148
    • Kärger, J.1
  • 20
    • 0017254450 scopus 로고
    • Water diffusion permeability of human erythrocytes studied by a pulsed gradient NMR technique
    • Andrasko J. Water diffusion permeability of human erythrocytes studied by a pulsed gradient NMR technique. Biochim. Biophys. Acta, 1976; 428: 304-311.
    • (1976) Biochim. Biophys. Acta , vol.428 , pp. 304-311
    • Andrasko, J.1
  • 21
    • 53549089574 scopus 로고    scopus 로고
    • Transverse NMR relaxation in magnetically heterogeneous media
    • Novikov DS, Kiselev VG. Transverse NMR relaxation in magnetically heterogeneous media. J. Magn. Reson. 2008; 195: 33-39.
    • (2008) J. Magn. Reson. , vol.195 , pp. 33-39
    • Novikov, D.S.1    Kiselev, V.G.2
  • 22
    • 0015492171 scopus 로고
    • Water diffusion permeability of erythrocytes using an NMR technique
    • Conlon T, Outhred R. Water diffusion permeability of erythrocytes using an NMR technique. Biochim. Biophys. Acta, 1972; 288: 354-361.
    • (1972) Biochim. Biophys. Acta , vol.288 , pp. 354-361
    • Conlon, T.1    Outhred, R.2
  • 23
  • 26
    • 0034744087 scopus 로고    scopus 로고
    • 2-shortening by weakly magnetized particles: the chemical exchange model
    • 2-shortening by weakly magnetized particles: the chemical exchange model. Magn. Reson. Med. 2001; 45: 1014-1020.
    • (2001) Magn. Reson. Med. , vol.45 , pp. 1014-1020
    • Brooks, R.A.1    Moiny, F.2    Gillis, P.3
  • 27
    • 0031956566 scopus 로고    scopus 로고
    • A model for diffusive transport through a spherical interface probed by pulsed-field gradient NMR
    • Price WS, Barzykin AV, Hayamizu K, Tachiya M. A model for diffusive transport through a spherical interface probed by pulsed-field gradient NMR. Biophys. J. 1998; 74: 2259-2271.
    • (1998) Biophys. J. , vol.74 , pp. 2259-2271
    • Price, W.S.1    Barzykin, A.V.2    Hayamizu, K.3    Tachiya, M.4
  • 28
    • 0042733330 scopus 로고    scopus 로고
    • Diffusion in compartmental systems. I. A comparison of an analytical model with simulations
    • Meier C, Dreher W, Leibfritz D. Diffusion in compartmental systems. I. A comparison of an analytical model with simulations. Magn. Reson. Med. 2003; 50: 500-509.
    • (2003) Magn. Reson. Med. , vol.50 , pp. 500-509
    • Meier, C.1    Dreher, W.2    Leibfritz, D.3
  • 29
    • 0031101168 scopus 로고    scopus 로고
    • NMR diffusion measurements to characterise membrane transport and solute binding
    • Waldeck AR. NMR diffusion measurements to characterise membrane transport and solute binding. Prog. Nucl. Mag. Res. Sp. 1997; 30: 39-68.
    • (1997) Prog. Nucl. Mag. Res. Sp. , vol.30 , pp. 39-68
    • Waldeck, A.R.1
  • 31
    • 0037372020 scopus 로고    scopus 로고
    • Effects of equilibrium exchange on diffusion-weighted NMR signals: the diffusigraphic 'shutter-speed'
    • Lee JH, Springer CS. Effects of equilibrium exchange on diffusion-weighted NMR signals: the diffusigraphic 'shutter-speed'. Magn. Reson. Med. 2003; 49: 450-458.
    • (2003) Magn. Reson. Med. , vol.49 , pp. 450-458
    • Lee, J.H.1    Springer, C.S.2
  • 32
    • 69949132949 scopus 로고    scopus 로고
    • Filter-exchange PGSE NMR determination of cell membrane permeability
    • Äslund I, Nowacka A, Nilsson M, Topgaard D. Filter-exchange PGSE NMR determination of cell membrane permeability. J. Magn. Reson. 2009; 200: 291-295.
    • (2009) J. Magn. Reson. , vol.200 , pp. 291-295
    • Äslund, I.1    Nowacka, A.2    Nilsson, M.3    Topgaard, D.4
  • 33
    • 0032443841 scopus 로고    scopus 로고
    • Water signal attenuation in diffusion-weighted H NMR experiments during cerebral ischemia: influence of intracellular restrictions, extracellular tortuosity, and exchange
    • Pfeuffer J, Dreher W, Sykova E, Leibfritz D. Water signal attenuation in diffusion-weighted H NMR experiments during cerebral ischemia: influence of intracellular restrictions, extracellular tortuosity, and exchange. Magn. Reson. Imaging, 1998; 16: 1023-1032.
    • (1998) Magn. Reson. Imaging , vol.16 , pp. 1023-1032
    • Pfeuffer, J.1    Dreher, W.2    Sykova, E.3    Leibfritz, D.4
  • 35
    • 0041815913 scopus 로고    scopus 로고
    • Diffusion in compartmental systems. II. Diffusion-weighted measurements of rat brain tissue in vivo and postmortem at very large b-values
    • Meier C, Dreher W, Leibfritz D. Diffusion in compartmental systems. II. Diffusion-weighted measurements of rat brain tissue in vivo and postmortem at very large b-values. Magn. Reson. Med. 2003; 50: 510-514.
    • (2003) Magn. Reson. Med. , vol.50 , pp. 510-514
    • Meier, C.1    Dreher, W.2    Leibfritz, D.3
  • 37
    • 0031019522 scopus 로고    scopus 로고
    • Numerical model for calculation of apparent diffusion coefficients (ADC) in permeable cylinders - comparison with measured ADC in spinal cord white matter
    • Ford JC, Hackney DB. Numerical model for calculation of apparent diffusion coefficients (ADC) in permeable cylinders - comparison with measured ADC in spinal cord white matter. Magn. Reson. Med. 1997; 37: 387-394.
    • (1997) Magn. Reson. Med. , vol.37 , pp. 387-394
    • Ford, J.C.1    Hackney, D.B.2
  • 38
    • 0041590988 scopus 로고    scopus 로고
    • An image-based finite difference model for simulating restricted diffusion
    • Hwang SN, Chin CL, Wehrli FW, Hackney DB. An image-based finite difference model for simulating restricted diffusion. Magn. Reson. Med. 2003; 50: 373-382.
    • (2003) Magn. Reson. Med. , vol.50 , pp. 373-382
    • Hwang, S.N.1    Chin, C.L.2    Wehrli, F.W.3    Hackney, D.B.4
  • 39
    • 0003730947 scopus 로고
    • Principles of Nuclear Magnetic Resonance Microscopy
    • Oxford University Press: Oxford
    • Callaghan PT. Principles of Nuclear Magnetic Resonance Microscopy. Oxford University Press: Oxford, 1991.
    • (1991)
    • Callaghan, P.T.1
  • 40
    • 33847736701 scopus 로고    scopus 로고
    • Is the 'biexponential diffusion' biexponential?
    • Kiselev VG, Il'Yasov KA. Is the 'biexponential diffusion' biexponential? Magn. Reson. Med. 2007; 57: 464-469.
    • (2007) Magn. Reson. Med. , vol.57 , pp. 464-469
    • Kiselev, V.G.1    Il'Yasov, K.A.2
  • 42
    • 19544371362 scopus 로고    scopus 로고
    • Diffusional kurtosis imaging: the quantification of non-gaussian water diffusion by means of magnetic resonance imaging
    • Jensen JH, Helpern JA, Ramani A, Lu H, Kaczynski K. Diffusional kurtosis imaging: the quantification of non-gaussian water diffusion by means of magnetic resonance imaging. Magn. Reson. Med. 2005; 53: 1432-1440.
    • (2005) Magn. Reson. Med. , vol.53 , pp. 1432-1440
    • Jensen, J.H.1    Helpern, J.A.2    Ramani, A.3    Lu, H.4    Kaczynski, K.5
  • 43
    • 0000594062 scopus 로고
    • Spin echoes in a constant gradient and in the presence of simple restriction
    • Hürlimann MD, Helmer KG, Deswiet TM, Sen PN. Spin echoes in a constant gradient and in the presence of simple restriction. J. Magn. Reson. A, 1995; 113: 260-264.
    • (1995) J. Magn. Reson. A , vol.113 , pp. 260-264
    • Hürlimann, M.D.1    Helmer, K.G.2    Deswiet, T.M.3    Sen, P.N.4
  • 45
    • 0034947113 scopus 로고    scopus 로고
    • Species differences and similarities in the fine structure of the mammalian corpus callosum
    • Olivares R, Montiel J, Aboitiz F. Species differences and similarities in the fine structure of the mammalian corpus callosum. Brain Behav. Evolution, 2001; 57: 98-105.
    • (2001) Brain Behav. Evolution , vol.57 , pp. 98-105
    • Olivares, R.1    Montiel, J.2    Aboitiz, F.3
  • 46
    • 0035009451 scopus 로고    scopus 로고
    • Diffusion time dependence of the apparent diffusion tensor in healthy human brain and white matter disease
    • Clark CA, Hedehus M, Moseley ME. Diffusion time dependence of the apparent diffusion tensor in healthy human brain and white matter disease. Magn. Reson. Med. 2001; 45: 1126-1129.
    • (2001) Magn. Reson. Med. , vol.45 , pp. 1126-1129
    • Clark, C.A.1    Hedehus, M.2    Moseley, M.E.3
  • 47
    • 0019731754 scopus 로고
    • Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum
    • Nicholson C, Phillips JM. Ion diffusion modified by tortuosity and volume fraction in the extracellular microenvironment of the rat cerebellum. J. Physiol. 1981; 321: 225-257.
    • (1981) J. Physiol. , vol.321 , pp. 225-257
    • Nicholson, C.1    Phillips, J.M.2
  • 49
    • 0025115647 scopus 로고
    • Anisotropic diffusion in human white matter: demonstration with MR techniques in vivo
    • Chenevert TL, Brunberg JA, Pipe JG. Anisotropic diffusion in human white matter: demonstration with MR techniques in vivo. Radiology, 1990; 177: 401-405.
    • (1990) Radiology , vol.177 , pp. 401-405
    • Chenevert, T.L.1    Brunberg, J.A.2    Pipe, J.G.3
  • 50
    • 0017098107 scopus 로고
    • Nuclear magnetic resonance measurement of skeletal muscle: anisotropy of the diffusion coefficient of the intracellular water
    • Cleveland G, Chang D, Hazlewood C, Rorschach H. Nuclear magnetic resonance measurement of skeletal muscle: anisotropy of the diffusion coefficient of the intracellular water. Biophys. J. 1976; 16: 1043-1053.
    • (1976) Biophys. J. , vol.16 , pp. 1043-1053
    • Cleveland, G.1    Chang, D.2    Hazlewood, C.3    Rorschach, H.4
  • 51
    • 1942445121 scopus 로고    scopus 로고
    • Diffusion MR in biological systems: tissue compartments and exchange
    • Stanisz GJ. Diffusion MR in biological systems: tissue compartments and exchange. Isr. J. Chem. 2003; 43: 33-44.
    • (2003) Isr. J. Chem. , vol.43 , pp. 33-44
    • Stanisz, G.J.1
  • 52
    • 0024524351 scopus 로고
    • A review of water diffusion measurement by NMR in human red blood cells
    • Herbst MD, Goldstein JH. A review of water diffusion measurement by NMR in human red blood cells. Am. J. Physiol. Cell. Physiol. 1989; 256: C1097-C1104.
    • (1989) Am. J. Physiol. Cell. Physiol. , vol.256
    • Herbst, M.D.1    Goldstein, J.H.2
  • 53
    • 0022569025 scopus 로고
    • Water exchange through erythrocyte membranes: nuclear magnetic resonance studies on resealed ghosts compared to human erythrocytes
    • Benga G, Borza V, Popescu O, Pop VI, Muresan A. Water exchange through erythrocyte membranes: nuclear magnetic resonance studies on resealed ghosts compared to human erythrocytes. J. Membr. Biol. 1986; 89: 127-130.
    • (1986) J. Membr. Biol. , vol.89 , pp. 127-130
    • Benga, G.1    Borza, V.2    Popescu, O.3    Pop, V.I.4    Muresan, A.5
  • 54
    • 0028978969 scopus 로고
    • Effects of cholesterol on transmembrane water diffusion in human erythrocytes measured using pulsed field gradient NMR
    • Waldeck RA. Effects of cholesterol on transmembrane water diffusion in human erythrocytes measured using pulsed field gradient NMR. Biophys. Chem. 1995; 55: 197-208.
    • (1995) Biophys. Chem. , vol.55 , pp. 197-208
    • Waldeck, R.A.1
  • 55
    • 33748933364 scopus 로고    scopus 로고
    • Quantitative MR imaging in Alzheimer disease
    • Ramani A, Jensen JH, Helpern JA. Quantitative MR imaging in Alzheimer disease. Radiology, 2006; 241: 26-44.
    • (2006) Radiology , vol.241 , pp. 26-44
    • Ramani, A.1    Jensen, J.H.2    Helpern, J.A.3
  • 56
    • 78650444157 scopus 로고    scopus 로고
    • Diffusion Imaging in Multiple Sclerosis: Research and Clinical Implications
    • in press.
    • Inglese M, Bester M. Diffusion Imaging in Multiple Sclerosis: Research and Clinical Implications. NMR Biomed. 2010; in press.
    • (2010) NMR Biomed.
    • Inglese, M.1    Bester, M.2
  • 57
    • 70350294370 scopus 로고    scopus 로고
    • Transverse diffusivity of cerebral parenchyma predicts visual tracking performance in relapsing-remitting multiple sclerosis
    • Warlop NP, Achten E, Fieremans E, Debruyne J, Vingerhoets G. Transverse diffusivity of cerebral parenchyma predicts visual tracking performance in relapsing-remitting multiple sclerosis. Brain Cogn. 2009; 71: 410-415.
    • (2009) Brain Cogn. , vol.71 , pp. 410-415
    • Warlop, N.P.1    Achten, E.2    Fieremans, E.3    Debruyne, J.4    Vingerhoets, G.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.