메뉴 건너뛰기




Volumn 63, Issue 3, 2010, Pages 562-569

Studies of anomalous diffusion in the human brain using fractional order calculus

Author keywords

Anomalous diffusion; Brain; Diffusion model; Fractional order calculus; High b value

Indexed keywords

BRAIN; HISTOLOGY; IMAGE ANALYSIS; SURFACE DIFFUSION; TISSUE;

EID: 77649174534     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.22285     Document Type: Article
Times cited : (164)

References (30)
  • 1
    • 34247516561 scopus 로고    scopus 로고
    • The "wet mind": Water and functional neuroimaging
    • Le Bihan D. The "wet mind": water and functional neuroimaging. Phys Med Biol 2007;52:R57-R90.
    • (2007) Phys Med Biol , vol.52
    • Le Bihan, D.1
  • 3
    • 0026345289 scopus 로고
    • Complete separation of intracellular and extracellular information in NMR spectra of perfused cells by diffusion weighted spectroscopy
    • van Zijl PCM, Moonen CTW, Faustino P, Pekar J, Kaplan O, Cohen JS. Complete separation of intracellular and extracellular information in NMR spectra of perfused cells by diffusion weighted spectroscopy. Proc Natl Acad Sci USA 1990;88:3228-3232.
    • (1990) Proc Natl Acad Sci USA , vol.88 , pp. 3228-3232
    • van Zijl, P.C.M.1    Moonen, C.T.W.2    Faustino, P.3    Pekar, J.4    Kaplan, O.5    Cohen, J.S.6
  • 4
    • 0035096570 scopus 로고    scopus 로고
    • Visualization of neural tissue water compartments using biexponential diffusion tensor MRI
    • Inglis BA, Bossart EL, Buckley DL, Wirth ED, Mareci TH. Visualization of neural tissue water compartments using biexponential diffusion tensor MRI. Magn Reson Med 2001;45:580-587.
    • (2001) Magn Reson Med , vol.45 , pp. 580-587
    • Inglis, B.A.1    Bossart, E.L.2    Buckley, D.L.3    Wirth, E.D.4    Mareci, T.H.5
  • 5
    • 0033661581 scopus 로고    scopus 로고
    • Water diffusion compartmentation and anisotropy at high b values in the human brain
    • Clark CA, Le Bihan D. Water diffusion compartmentation and anisotropy at high b values in the human brain. Magn Reson Med 2000;44: 852-859.
    • (2000) Magn Reson Med , vol.44 , pp. 852-859
    • Clark, C.A.1    Le Bihan, D.2
  • 6
    • 3543103278 scopus 로고    scopus 로고
    • Effects of physiologic challenge on the ADC of intracellular water in the Xenopus oocyte
    • Sehy JV, Zhao L, Xu JQ, Rayala HJ, Ackerman JJH, Neil JJ. Effects of physiologic challenge on the ADC of intracellular water in the Xenopus oocyte. Magn Reson Med 2004;52:239-247.
    • (2004) Magn Reson Med , vol.52 , pp. 239-247
    • Sehy, J.V.1    Zhao, L.2    Xu, J.Q.3    Rayala, H.J.4    Ackerman, J.J.H.5    Neil, J.J.6
  • 7
    • 0036209364 scopus 로고    scopus 로고
    • In vivo mapping of the fast and slow diffusion tensors in human brain
    • Clark CA, Hedehus M, Moseley ME. In vivo mapping of the fast and slow diffusion tensors in human brain. Magn Reson Med 2002;47: 623-628.
    • (2002) Magn Reson Med , vol.47 , pp. 623-628
    • Clark, C.A.1    Hedehus, M.2    Moseley, M.E.3
  • 8
    • 0024999038 scopus 로고
    • Early detection of regional cerebral ischemia in cats: Comparison of diffusion and T2 weighted MRI and spectroscopy
    • Moseley ME, Cohen Y, Montorovitch J. Early detection of regional cerebral ischemia in cats: comparison of diffusion and T2 weighted MRI and spectroscopy. J Magn Reson 1990;14:330-346.
    • (1990) J Magn Reson , vol.14 , pp. 330-346
    • Moseley, M.E.1    Cohen, Y.2    Montorovitch, J.3
  • 9
    • 0026742382 scopus 로고
    • Mechanism of detection of acute cerebral ischemia in rats by diffusion-weighted magnetic resonance microscopy
    • Benveniste H, Hedlund LW, Johnson GA. Mechanism of detection of acute cerebral ischemia in rats by diffusion-weighted magnetic resonance microscopy. Stroke 1992;23:746-754.
    • (1992) Stroke , vol.23 , pp. 746-754
    • Benveniste, H.1    Hedlund, L.W.2    Johnson, G.A.3
  • 10
    • 0345307805 scopus 로고    scopus 로고
    • Imaging of brain tumors with diffusion-weighted and diffusion tensor MR imaging
    • Barboriak D. Imaging of brain tumors with diffusion-weighted and diffusion tensor MR imaging. Magn Reson Imaging Clin N Am 2003; 11:379-401.
    • (2003) Magn Reson Imaging Clin N Am , vol.11 , pp. 379-401
    • Barboriak, D.1
  • 12
    • 0036153225 scopus 로고    scopus 로고
    • Characterization of benign and metastatic vertebral compression fractures with quantitative diffusion MR imaging
    • Zhou XJ, Leeds NE, McKinnon GC, Kumar AJ. Characterization of benign and metastatic vertebral compression fractures with quantitative diffusion MR imaging. AJNR Am J Neuroradiol 2002;23:165-170.
    • (2002) AJNR Am J Neuroradiol , vol.23 , pp. 165-170
    • Zhou, X.J.1    Leeds, N.E.2    McKinnon, G.C.3    Kumar, A.J.4
  • 13
    • 0036846803 scopus 로고    scopus 로고
    • Evidence that both fast and slow water ADC components arise from intracellular space
    • Sehy JV, Ackerman JJH, Neil JJ. Evidence that both fast and slow water ADC components arise from intracellular space. Magn Reson Med 2002;48:765-770.
    • (2002) Magn Reson Med , vol.48 , pp. 765-770
    • Sehy, J.V.1    Ackerman, J.J.H.2    Neil, J.J.3
  • 14
    • 0036840514 scopus 로고    scopus 로고
    • Importance of intracellular water apparent diffusion to the measurement of membrane permeability
    • Sehy JV, Banks AA, Ackerman JJH, Neil JJ. Importance of intracellular water apparent diffusion to the measurement of membrane permeability. Biophys J 2002;83:2856-2863.
    • (2002) Biophys J , vol.83 , pp. 2856-2863
    • Sehy, J.V.1    Banks, A.A.2    Ackerman, J.J.H.3    Neil, J.J.4
  • 15
    • 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 HZ, 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.Z.4    Kaczynski, K.5
  • 16
    • 0032798178 scopus 로고    scopus 로고
    • Water diffusion in rat brain in vivo as detected at very large b values is multicompartmental
    • Pfeuffer J, Provencher S, Gruetter R. Water diffusion in rat brain in vivo as detected at very large b values is multicompartmental. MAGMA 1999;8:98-108.
    • (1999) MAGMA , vol.8 , pp. 98-108
    • Pfeuffer, J.1    Provencher, S.2    Gruetter, R.3
  • 18
    • 0141506097 scopus 로고    scopus 로고
    • Characterization of continuously distributed cortical water diffusion rates with a stretched-exponential model
    • Bennett KM, Schmainda KM, Bennett R, Rowe DB, Lu HB, Hyde JS. 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.3    Rowe, D.B.4    Lu, H.B.5    Hyde, J.S.6
  • 19
    • 33750942521 scopus 로고    scopus 로고
    • Ö zarslan E, Basser PJ, Shepherd TM, Thelwall PE, Vemuri BC, Blackband SJ. Observation of anomalous diffusion in excised tissue by characterizing the diffusion-time dependence of the MR signal. J Magn Reson 2006;183:315-323.
    • Ö zarslan E, Basser PJ, Shepherd TM, Thelwall PE, Vemuri BC, Blackband SJ. Observation of anomalous diffusion in excised tissue by characterizing the diffusion-time dependence of the MR signal. J Magn Reson 2006;183:315-323.
  • 20
    • 40449088884 scopus 로고    scopus 로고
    • From diffusion-weighted MRI to anomalous diffusion imaging
    • Hall MG, Barrick TR. 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
  • 21
    • 38349041965 scopus 로고    scopus 로고
    • Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation
    • Magin RL, Abdullah O, Baleanu D, Zhou XJ. 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
  • 22
    • 70149122013 scopus 로고    scopus 로고
    • Analysis of high b-value diffusion images using fractional order calculus
    • Toronto, Canada
    • Zhou XJ, Abdullah O, Baleanu D, Magin RL. Analysis of high b-value diffusion images using fractional order calculus. In: Proc Int'l Soc Magn Reson Med Toronto, Canada, 2008. p 36.
    • (2008) Proc Int'l Soc Magn Reson Med , pp. 36
    • Zhou, X.J.1    Abdullah, O.2    Baleanu, D.3    Magin, R.L.4
  • 24
    • 0037229177 scopus 로고    scopus 로고
    • Reduction of eddy-current-induced distortion in diffusion MRI using a twice-refocused spin echo
    • Reese TG, Heid O, Weisskoff RM, Wedeen VJ. Reduction of eddy-current-induced distortion in diffusion MRI using a twice-refocused spin echo. Magn Reson Med 2003;49:177-182.
    • (2003) Magn Reson Med , vol.49 , pp. 177-182
    • Reese, T.G.1    Heid, O.2    Weisskoff, R.M.3    Wedeen, V.J.4
  • 25
    • 33847534249 scopus 로고
    • Effects of diffusion on free precession in nuclear magnetic resonance experiments
    • Carr HY, Purcell EM. Effects of diffusion on free precession in nuclear magnetic resonance experiments. Phys Rev 1954;94:630.
    • (1954) Phys Rev , vol.94 , pp. 630
    • Carr, H.Y.1    Purcell, E.M.2
  • 26
    • 77649124740 scopus 로고    scopus 로고
    • Zhou X, Maier JK, Reynolds HG. Method to reduce eddy current effects in diffusion-weighted echo planar imaging. US patent 5,864,233. January 26, 1999.
    • Zhou X, Maier JK, Reynolds HG. Method to reduce eddy current effects in diffusion-weighted echo planar imaging. US patent 5,864,233. January 26, 1999.
  • 27
    • 77649086896 scopus 로고    scopus 로고
    • Zhou X, Maier JK, Huff SJ, Reynolds HG. Method and apparatus for producing diffusion-weighted MR images. US patent 6,323,646. November 27, 2001.
    • Zhou X, Maier JK, Huff SJ, Reynolds HG. Method and apparatus for producing diffusion-weighted MR images. US patent 6,323,646. November 27, 2001.
  • 29
    • 35248814886 scopus 로고    scopus 로고
    • MR diffusion-"diffraction" phenomenon in multi-pulse-field-gradient experiments. J Magn Reson
    • Ö zarslan E, Basser PJ
    • Ö zarslan E, Basser PJ. MR diffusion-"diffraction" phenomenon in multi-pulse-field-gradient experiments. J Magn Reson 2007;188: 285-294.
    • (2007) , vol.188 , pp. 285-294
  • 30
    • 77649174533 scopus 로고    scopus 로고
    • Analysis of high b-value diffusion images using a fractional order diffusion model with denoising image reconstruction
    • Gao Q, Haldar JP, Rangwala N, Magin RL, Liang Z-P, Zhou XJ. Analysis of high b-value diffusion images using a fractional order diffusion model with denoising image reconstruction. Proc Int Soc Magn Reson Med 2009;17:1418.
    • (2009) Proc Int Soc Magn Reson Med , vol.17 , pp. 1418
    • Gao, Q.1    Haldar, J.P.2    Rangwala, N.3    Magin, R.L.4    Liang, Z.-P.5    Zhou, X.J.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.