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Volumn 26, Issue 1, 2013, Pages 39-49

A linear/nonlinear characterization of resting state brain networks in fMRI time series

Author keywords

Default mode; fMRI; Functional connectivity; Nonlinear; Resting state network; Visual cortex

Indexed keywords

ADULT; ANGULAR GYRUS; ARTICLE; BRAIN; CALCARINE SULCUS; CEREBELLUM; CINGULATE GYRUS; CORRELATION ANALYSIS; CUNEUS; DEPTH PERCEPTION; FEMALE; FUNCTIONAL MAGNETIC RESONANCE IMAGING; FUNCTIONAL NEUROIMAGING; HEARING; HISTOGRAM; HUMAN; IMAGE ANALYSIS; INFERIOR FRONTAL GYRUS; LINEAR SYSTEM; MALE; MIDDLE FRONTAL GYRUS; MIDDLE TEMPORAL GYRUS; NONLINEAR SYSTEM; NORMAL HUMAN; OCCIPITAL GYRUS; POSTCENTRAL GYRUS; PRECUNEUS; PRIORITY JOURNAL; REST; RESTING STATE NETWORK; SIGNAL PROCESSING; SUPERIOR FRONTAL GYRUS; THALAMUS; VISION;

EID: 84872334136     PISSN: 08960267     EISSN: 15736792     Source Type: Journal    
DOI: 10.1007/s10548-012-0249-7     Document Type: Article
Times cited : (16)

References (48)
  • 1
    • 0033746173 scopus 로고    scopus 로고
    • CNS energy metabolism as related to function
    • 11086186 10.1016/S0165-0173(00)00038-2 1:CAS:528:DC%2BD3cXot1yisL4%3D
    • Ames AI (2000) CNS energy metabolism as related to function. Brain Res Rev 34:42-68
    • (2000) Brain Res Rev , vol.34 , pp. 42-68
    • Ames, A.I.1
  • 2
    • 0029038414 scopus 로고
    • Coherent spatiotemporal patterns of ongoing activity revealed by real-time optical imaging with single-unit recording in the cat visual cortex
    • 7623099 1:STN:280:DyaK2MzkvVOkuw%3D%3D
    • Arieli A, Shoham D, Hildesheim R, Grinvald A (1995) Coherent spatiotemporal patterns of ongoing activity revealed by real-time optical imaging with single-unit recording in the cat visual cortex. J Neurophysiol 73:2072-2093
    • (1995) J Neurophysiol , vol.73 , pp. 2072-2093
    • Arieli, A.1    Shoham, D.2    Hildesheim, R.3    Grinvald, A.4
  • 3
    • 0029767876 scopus 로고    scopus 로고
    • Dynamics of ongoing activity: Explanation of the large variability in evoked cortical response
    • 8791593 10.1126/science.273.5283.1868 1:CAS:528:DyaK28XlvFCrsb8%3D
    • Arieli A, Sterkin A, Grinvald A, Aerstent A (1996) Dynamics of ongoing activity: explanation of the large variability in evoked cortical response. Science 273:1868-1871
    • (1996) Science , vol.273 , pp. 1868-1871
    • Arieli, A.1    Sterkin, A.2    Grinvald, A.3    Aerstent, A.4
  • 4
    • 0034784359 scopus 로고    scopus 로고
    • An energy budget for signalling in the grey matter of the brain
    • 11598490 10.1097/00004647-200110000-00001 1:CAS:528:DC%2BD3MXot1Ggsbc%3D
    • Attwell D, Laughlin SB (2001) An energy budget for signalling in the grey matter of the brain. J Cereb Blood Flow Metab 21:1133-1145
    • (2001) J Cereb Blood Flow Metab , vol.21 , pp. 1133-1145
    • Attwell, D.1    Laughlin, S.B.2
  • 5
    • 25444456446 scopus 로고    scopus 로고
    • Investigations into resting-state connectivity using independent component analysis
    • 10.1098/rstb.2005.1634
    • Beckmann CF, DeLuca M, Devlin JT, Smith SM (2005) Investigations into resting-state connectivity using independent component analysis. Philos Trans R Soc B 360:1001-1013
    • (2005) Philos Trans R Soc B , vol.360 , pp. 1001-1013
    • Beckmann, C.F.1    Deluca, M.2    Devlin, J.T.3    Smith, S.M.4
  • 6
    • 0029166541 scopus 로고
    • Functional connectivity in the motor cortex of resting human brain using echo-planar MRI
    • 8524021 10.1002/mrm.1910340409 1:STN:280:DyaK287gslKrsg%3D%3D
    • Biswal B, Yetkin F, Haughton V, Hyde J (1995) Functional connectivity in the motor cortex of resting human brain using echo-planar MRI. Magn Reson Med 34:537-541
    • (1995) Magn Reson Med , vol.34 , pp. 537-541
    • Biswal, B.1    Yetkin, F.2    Haughton, V.3    Hyde, J.4
  • 7
    • 0031809018 scopus 로고    scopus 로고
    • Dynamics of blood flow and oxygenation changes during brain activation: The balloon model
    • 1:STN:280:DyaK1c3otlahtQ%3D%3D
    • Buxton RB, Wong EC, Frank LR (1998) Dynamics of blood flow and oxygenation changes during brain activation: the balloon model. MRM 39:855-864
    • (1998) MRM , vol.39 , pp. 855-864
    • Buxton, R.B.1    Wong, E.C.2    Frank, L.R.3
  • 8
    • 0001874436 scopus 로고    scopus 로고
    • Practical method for determining the minimum embedding dimension of a scalar time series
    • 10.1016/S0167-2789(97)00118-8
    • Cao L (1997) Practical method for determining the minimum embedding dimension of a scalar time series. Physica D 110:43-50
    • (1997) Physica D , vol.110 , pp. 43-50
    • Cao, L.1
  • 9
    • 0036534373 scopus 로고    scopus 로고
    • Neural systems for visual orienting and their relationships to spatial working memory
    • 11970810 10.1162/089892902317362029
    • Corbetta M, Kincade JM, Shulman GL (2002) Neural systems for visual orienting and their relationships to spatial working memory. J Cogn Neurosci 14:508-523
    • (2002) J Cogn Neurosci , vol.14 , pp. 508-523
    • Corbetta, M.1    Kincade, J.M.2    Shulman, G.L.3
  • 12
    • 31844433315 scopus 로고    scopus 로고
    • FMRI resting state networks define distinct modes of long-distance interactions in the human brain
    • 16260155 10.1016/j.neuroimage.2005.08.035
    • De Luca M, Beckmann CF, De Stefano N, Matthews PM, Smith SM (2006) fMRI resting state networks define distinct modes of long-distance interactions in the human brain. Neuroimage 29:1359-1367
    • (2006) Neuroimage , vol.29 , pp. 1359-1367
    • De Luca, M.1    Beckmann, C.F.2    De Stefano, N.3    Matthews, P.M.4    Smith, S.M.5
  • 13
    • 68849126965 scopus 로고    scopus 로고
    • Characterizing dynamic functional connectivity across sleep stages from EEG
    • 19005749 10.1007/s10548-008-0071-4
    • Dimitriadis SI, Laskaris NA, Rio-Portilla Y, Koudounis GC (2009) Characterizing dynamic functional connectivity across sleep stages from EEG. Brain Topogr 22:119-133
    • (2009) Brain Topogr , vol.22 , pp. 119-133
    • Dimitriadis, S.I.1    Laskaris, N.A.2    Rio-Portilla, Y.3    Koudounis, G.C.4
  • 14
    • 22144469412 scopus 로고    scopus 로고
    • The human brain is intrinsically organized into dynamic, anticorrelated functional networks
    • 15976020 10.1073/pnas.0504136102 1:CAS:528:DC%2BD2MXmsVaktb8%3D
    • Fox MD, Snyder AZ, Vincent JL, Corbetta M, Van Essen DC, Raichle ME (2005) The human brain is intrinsically organized into dynamic, anticorrelated functional networks. Proc Natl Acad Sci USA 102:9673-9678
    • (2005) Proc Natl Acad Sci USA , vol.102 , pp. 9673-9678
    • Fox, M.D.1    Snyder, A.Z.2    Vincent, J.L.3    Corbetta, M.4    Van Essen, D.C.5    Raichle, M.E.6
  • 15
    • 66349133709 scopus 로고    scopus 로고
    • The global signal and observed anticorrelated resting state brain networks
    • 19339462 10.1152/jn.90777.2008
    • Fox MD, Zhang D, Snyder AZ, Raichle ME (2009) The global signal and observed anticorrelated resting state brain networks. J Neurophysiol 101:3270-3283
    • (2009) J Neurophysiol , vol.101 , pp. 3270-3283
    • Fox, M.D.1    Zhang, D.2    Snyder, A.Z.3    Raichle, M.E.4
  • 16
    • 24144436151 scopus 로고    scopus 로고
    • Spontaneous low-frequency BOLD signal fluctuations: An fMRI investigation of the resting-state default mode of brain function hypothesis
    • 15852468 10.1002/hbm.20113
    • Fransson P (2005) Spontaneous low-frequency BOLD signal fluctuations: an fMRI investigation of the resting-state default mode of brain function hypothesis. Hum Brain Mapp 26:15-29
    • (2005) Hum Brain Mapp , vol.26 , pp. 15-29
    • Fransson, P.1
  • 17
    • 67649993154 scopus 로고    scopus 로고
    • Bistability and non-Gaussian fluctuations in spontaneous cortical activity
    • 19571142 10.1523/JNEUROSCI.0754-09.2009 1:CAS:528:DC%2BD1MXosFekt7s%3D
    • Freyer F, Aquino K, Robinson PA, Ritter P, Breakspear M (2009) Bistability and non-Gaussian fluctuations in spontaneous cortical activity. J Neurosci 29:8512-8524
    • (2009) J Neurosci , vol.29 , pp. 8512-8524
    • Freyer, F.1    Aquino, K.2    Robinson, P.A.3    Ritter, P.4    Breakspear, M.5
  • 18
    • 79955766627 scopus 로고    scopus 로고
    • Biophysical mechanisms of multistability in resting state-cortical rhythms
    • 21525275 10.1523/JNEUROSCI.6693-10.2011 1:CAS:528:DC%2BC3MXls1OlsLY%3D
    • Freyer F, Roberts JA, Becker R, Robinson P, Ritter P (2011) Biophysical mechanisms of multistability in resting state-cortical rhythms. J Neurosci 31:6353-6361
    • (2011) J Neurosci , vol.31 , pp. 6353-6361
    • Freyer, F.1    Roberts, J.A.2    Becker, R.3    Robinson, P.4    Ritter, P.5
  • 19
    • 12244278584 scopus 로고
    • Analysis of functional MRI time series
    • 10.1002/hbm.460010207
    • Friston KJ, Jezzard P, Turner R (1994) Analysis of functional MRI time series. Hum Brain Mapp 1:153-171
    • (1994) Hum Brain Mapp , vol.1 , pp. 153-171
    • Friston, K.J.1    Jezzard, P.2    Turner, R.3
  • 20
    • 0031974593 scopus 로고    scopus 로고
    • Nonlinear event-related responses in fMRI
    • 1:STN:280:DyaK1c%2FpvFaksQ%3D%3D
    • Friston KJ, Josephs O, Rees G, Turner R (1998) Nonlinear event-related responses in fMRI. MRM 39:41-52
    • (1998) MRM , vol.39 , pp. 41-52
    • Friston, K.J.1    Josephs, O.2    Rees, G.3    Turner, R.4
  • 21
    • 0033778839 scopus 로고    scopus 로고
    • Nonlinear responses in fMRI: The balloon model, Volterra kernels, and other hemodynamics
    • 10988040 10.1006/nimg.2000.0630 1:STN:280:DC%2BD3M%2FhsVSqsg%3D%3D
    • Friston K, Mechelli A, Turner R, Price C (2000) Nonlinear responses in fMRI: the balloon model, Volterra kernels, and other hemodynamics. Neuroimage 12:466-477
    • (2000) Neuroimage , vol.12 , pp. 466-477
    • Friston, K.1    Mechelli, A.2    Turner, R.3    Price, C.4
  • 23
    • 0038105083 scopus 로고    scopus 로고
    • Signal nonlinearity in fMRI: A comparison between BOLD and MION
    • 12846432 10.1109/TMI.2003.812248
    • Gautama T, Mandic DP, Van Hulle MM (2003b) Signal nonlinearity in fMRI: a comparison between BOLD and MION. IEEE Trans Med Imaging 22:636-644
    • (2003) IEEE Trans Med Imaging , vol.22 , pp. 636-644
    • Gautama, T.1    Mandic, D.P.2    Van Hulle, M.M.3
  • 24
    • 0037528175 scopus 로고    scopus 로고
    • Indications of nonlinear structures in brain electrical activity
    • 10.1103/PhysRevE.67.046204
    • Gautama T, Mandic D, Van Hulle M (2003c) Indications of nonlinear structures in brain electrical activity. Phys Rev E 67:046204
    • (2003) Phys Rev e , vol.67 , pp. 046204
    • Gautama, T.1    Mandic, D.2    Van Hulle, M.3
  • 25
    • 1142267539 scopus 로고    scopus 로고
    • The delay vector variance method for detecting determinism and nonlinearity in time series
    • 10.1016/j.physd.2003.11.001
    • Gautama T, Mandic DP, Van Hulle MM (2004a) The delay vector variance method for detecting determinism and nonlinearity in time series. Physica D 190:167-176
    • (2004) Physica D , vol.190 , pp. 167-176
    • Gautama, T.1    Mandic, D.P.2    Van Hulle, M.M.3
  • 27
    • 0037422586 scopus 로고    scopus 로고
    • Functional connectivity in the resting brain: A network analysis of the default mode hypothesis
    • 12506194 10.1073/pnas.0135058100 1:CAS:528:DC%2BD3sXktlOntQ%3D%3D
    • Greicius MD, Krasnow B, Reiss AL, Menon V (2003) Functional connectivity in the resting brain: a network analysis of the default mode hypothesis. Proc Natl Acad Sci USA 100:253-258
    • (2003) Proc Natl Acad Sci USA , vol.100 , pp. 253-258
    • Greicius, M.D.1    Krasnow, B.2    Reiss, A.L.3    Menon, V.4
  • 28
    • 0035486838 scopus 로고    scopus 로고
    • Searching for a baseline: Functional imaging and the resting human brain
    • 11584306 10.1038/35094500 1:CAS:528:DC%2BD38Xmt1Wht7c%3D
    • Gusnard DA, Raichle ME (2001) Searching for a baseline: functional imaging and the resting human brain. Nat Rev Neurosci 2:685-694
    • (2001) Nat Rev Neurosci , vol.2 , pp. 685-694
    • Gusnard, D.A.1    Raichle, M.E.2
  • 29
    • 0242667929 scopus 로고    scopus 로고
    • Spontaneous emerging cortical representations of visual attributes
    • 14586468 10.1038/nature02078 1:CAS:528:DC%2BD3sXosVOht7c%3D
    • Kenet T, Bibitchkov D, Tsodyks M, Grinvald A, Arieli A (2003) Spontaneous emerging cortical representations of visual attributes. Nature 425:954-956
    • (2003) Nature , vol.425 , pp. 954-956
    • Kenet, T.1    Bibitchkov, D.2    Tsodyks, M.3    Grinvald, A.4    Arieli, A.5
  • 30
    • 0027265812 scopus 로고
    • Visual mental imagery activates topographically organized visual cortex: PET investigations
    • 10.1162/jocn.1993.5.3.263
    • Kosslyn SM, Alpert NM, Thompson WL, Maljkovic V, Weise SB et al (1993) Visual mental imagery activates topographically organized visual cortex: PET investigations. J Cogn Neurosci 5:263-287
    • (1993) J Cogn Neurosci , vol.5 , pp. 263-287
    • Kosslyn, S.M.1    Alpert, N.M.2    Thompson, W.L.3    Maljkovic, V.4    Weise, S.B.5
  • 31
    • 0028867946 scopus 로고
    • Topographical representations of mental images in primary visual cortex
    • 7477406 10.1038/378496a0 1:CAS:528:DyaK2MXps1ymu7w%3D
    • Kosslyn SM, Thompson WL, Kim IJ, Alpert NM (1995) Topographical representations of mental images in primary visual cortex. Nature 378:496-498
    • (1995) Nature , vol.378 , pp. 496-498
    • Kosslyn, S.M.1    Thompson, W.L.2    Kim, I.J.3    Alpert, N.M.4
  • 32
    • 0033515885 scopus 로고    scopus 로고
    • The role of area 17 in visual imagery: Convergent evidence from PET and rTMS
    • 10102821 10.1126/science.284.5411.167 1:CAS:528:DyaK1MXitlCksrY%3D
    • Kosslyn SM, Pascual-Leone A, Felician O, Camposano S, Kee-nan JP et al (1999) The role of area 17 in visual imagery: convergent evidence from PET and rTMS. Science 284:167-170
    • (1999) Science , vol.284 , pp. 167-170
    • Kosslyn, S.M.1    Pascual-Leone, A.2    Felician, O.3    Camposano, S.4    Kee-Nan, J.P.5
  • 33
    • 0027140154 scopus 로고
    • Activation of human primary visual cortex during visual recall: A magnetic resonance imaging study
    • 8265629 10.1073/pnas.90.24.11802
    • Le Bihan D, Turner R, Zeffiro T, Cuendo C, Jezzard P et al (1993) Activation of human primary visual cortex during visual recall: a magnetic resonance imaging study. Proc Natl Acad Sci USA 90:11802-11805
    • (1993) Proc Natl Acad Sci USA , vol.90 , pp. 11802-11805
    • Le Bihan, D.1    Turner, R.2    Zeffiro, T.3    Cuendo, C.4    Jezzard, P.5
  • 34
    • 0037452922 scopus 로고    scopus 로고
    • The cost of cortical computation
    • 12646132 10.1016/S0960-9822(03)00135-0 1:CAS:528:DC%2BD3sXit12nur0%3D
    • Lennie P (2003) The cost of cortical computation. Curr Biol 13:493-497
    • (2003) Curr Biol , vol.13 , pp. 493-497
    • Lennie, P.1
  • 35
    • 0031927479 scopus 로고    scopus 로고
    • Functional connectivity in single and multislice echoplanar imaging using resting-state fluctuations
    • 9558644 10.1006/nimg.1997.0315 1:STN:280:DyaK1c3hvFeguw%3D%3D
    • Lowe MJ, Mock BJ, Sorenson JA (1998) Functional connectivity in single and multislice echoplanar imaging using resting-state fluctuations. Neuroimage 7:119-132
    • (1998) Neuroimage , vol.7 , pp. 119-132
    • Lowe, M.J.1    Mock, B.J.2    Sorenson, J.A.3
  • 36
    • 40749140764 scopus 로고    scopus 로고
    • On the characterization of the deterministic/stochastic and linear/nonlinear nature of time series
    • 10.1098/rspa.2007.0154
    • Mandic D, Chen M, Gautama T, Van Hulle M, Constantinides A (2008) On the characterization of the deterministic/stochastic and linear/nonlinear nature of time series. Proc R Soc A 464:1141-1160
    • (2008) Proc R Soc A , vol.464 , pp. 1141-1160
    • Mandic, D.1    Chen, M.2    Gautama, T.3    Van Hulle, M.4    Constantinides, A.5
  • 37
    • 0034810706 scopus 로고    scopus 로고
    • Nonlinear coupling between evoked rCBF and BOLD signals: A simulation study of hemodynamic responses
    • 11554805 10.1006/nimg.2001.0876 1:STN:280:DC%2BD3MrgslWnug%3D%3D
    • Mechelli A, Price C, Friston K (2001) Nonlinear coupling between evoked rCBF and BOLD signals: a simulation study of hemodynamic responses. NeuroImage 14:862-872
    • (2001) NeuroImage , vol.14 , pp. 862-872
    • Mechelli, A.1    Price, C.2    Friston, K.3
  • 38
    • 57649158932 scopus 로고    scopus 로고
    • The impact of global signal regression on resting state correlations: Are anti-correlated networks introduced?
    • 18976716 10.1016/j.neuroimage.2008.09.036
    • Murphy K, Birn RM, Handwerker DA, Jones TB, Bandettini PA (2009) The impact of global signal regression on resting state correlations: are anti-correlated networks introduced? NeuroImage 44:893-905
    • (2009) NeuroImage , vol.44 , pp. 893-905
    • Murphy, K.1    Birn, R.M.2    Handwerker, D.A.3    Jones, T.B.4    Bandettini, P.A.5
  • 39
    • 27744482237 scopus 로고    scopus 로고
    • Intrinsic brain activity sets the stage for expression of motivated behavior
    • 16254998 10.1002/cne.20752
    • Raichle ME, Gusnard DA (2005) Intrinsic brain activity sets the stage for expression of motivated behavior. J Comp Neurol 493:167-176
    • (2005) J Comp Neurol , vol.493 , pp. 167-176
    • Raichle, M.E.1    Gusnard, D.A.2
  • 40
    • 33748361335 scopus 로고    scopus 로고
    • Brain work and brain imaging
    • 16776593 10.1146/annurev.neuro.29.051605.112819 1:CAS:528: DC%2BD28XosVeit74%3D
    • Raichle ME, Mintun MA (2006) Brain work and brain imaging. Annu Rev Neurosci 29:449-476
    • (2006) Annu Rev Neurosci , vol.29 , pp. 449-476
    • Raichle, M.E.1    Mintun, M.A.2
  • 42
    • 0025031812 scopus 로고
    • No adjustments are needed for multiple comparisons
    • 2081237 10.1097/00001648-199001000-00010 1:STN:280:DyaK3M7otlShtA%3D%3D
    • Rothman KJ (1990) No adjustments are needed for multiple comparisons. Epidemiology 1:43-46
    • (1990) Epidemiology , vol.1 , pp. 43-46
    • Rothman, K.J.1
  • 43
    • 3242737585 scopus 로고    scopus 로고
    • Energetic basis of brain activity: Implications for neuroimaging
    • 15271497 10.1016/j.tins.2004.06.005 1:CAS:528:DC%2BD2cXmtVahtrY%3D
    • Shulman RG, Rothman DL, Behar KL, Hyder F (2004) Energetic basis of brain activity: implications for neuroimaging. Trends Neurosci 27:489-495
    • (2004) Trends Neurosci , vol.27 , pp. 489-495
    • Shulman, R.G.1    Rothman, D.L.2    Behar, K.L.3    Hyder, F.4
  • 44
    • 80052944191 scopus 로고    scopus 로고
    • REST: A toolkit for resting-state functional magnetic resonance imaging data processing
    • 21949842 10.1371/journal.pone.0025031 1:CAS:528:DC%2BC3MXht12ns7nK
    • Song XW, Dong ZY, Long XY, Li SF, Zuo XN, Zhu CZ, He Y, Yan CG, Zang YF (2011) REST: a toolkit for resting-state functional magnetic resonance imaging data processing. PLoS One 6(9):e25031
    • (2011) PLoS One , vol.6 , Issue.9 , pp. 25031
    • Song, X.W.1    Dong, Z.Y.2    Long, X.Y.3    Li, S.F.4    Zuo, X.N.5    Zhu, C.Z.6    He, Y.7    Yan, C.G.8    Zang, Y.F.9
  • 45
    • 0033521056 scopus 로고    scopus 로고
    • Linking spontaneous activity of single cortical neurons and underlying functional architecture
    • 10583955 10.1126/science.286.5446.1943 1:CAS:528:DyaK1MXnvFSiu74%3D
    • Tsodyks M, Kenet T, Grinvald A, Arieli A (1999) Linking spontaneous activity of single cortical neurons and underlying functional architecture. Science 286:1943-1946
    • (1999) Science , vol.286 , pp. 1943-1946
    • Tsodyks, M.1    Kenet, T.2    Grinvald, A.3    Arieli, A.4
  • 46
    • 84862756480 scopus 로고    scopus 로고
    • Modeling of the neurovascular coupling in epileptic discharges
    • 21706377 10.1007/s10548-011-0190-1
    • Voges N, Blanchard N, Wendling F, David O, Benali H et al (2012) Modeling of the neurovascular coupling in epileptic discharges. Brain Topogr 25:136-156
    • (2012) Brain Topogr , vol.25 , pp. 136-156
    • Voges, N.1    Blanchard, N.2    Wendling, F.3    David, O.4    Benali, H.5
  • 48
    • 85019241717 scopus 로고    scopus 로고
    • DPARSF: A MATLAB toolbox for "pipeline" data analysis of resting-state fMRI
    • Yan C, Zang Y (2010) DPARSF: a MATLAB toolbox for "pipeline" data analysis of resting-state fMRI. Front Syst Neurosci 4:13
    • (2010) Front Syst Neurosci , vol.4 , pp. 13
    • Yan, C.1    Zang, Y.2


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