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DiffusionalKurtosisImaging
DKIContents
DWI(diffusionweightedimaging)DTI(diffusiontensorimaging)DKI(diffusionkurtosisimaging)DWI原理MR图像的信号组织T1、T2驰豫时间、H1的密度、分子弥散运动DWI图像利用扩散敏感梯度脉冲将水分子弥散效应扩大,来研究不同组织中水分子扩散运动的差异
均质介质中可以水分子的自由运动为各向同性,即在各个方向上的弥散强度大小一致,弥散张量D描述为球形,沿磁共振的三个主坐标的特征值为
λ1=λ2=λ3在脑白质中由于髓鞘的阻挡,水分子的弥散被限制在与纤维走行一致的方向上,具有较高的各向异性,此时弥散张量可表示为椭球形,其特征值λ1>λ2>λ3,最大特征值对应的方向与经过该体素的纤维束走行平行defectsofDTIConventionalDTIfailstofullyutilizetheMRdiffusionmeasurementsthatareinherenttotissuemicrostructure.
DTIcomputesapparentdiffusivitybasedontheassumptionthatdiffusionweighted(DW)MRsignalhasamonoexponentialdependenceonthediffusionfactor(b-value).DTIimplicitlyassumesthatwatermoleculediffusionoccursinafreeandunrestrictedenvironmentwithaGaussiandistributionofdiffusiondisplacement.defectsofDTI
Inbiologicaltissue,complexcellularmicrostructuresmakewaterdiffusionahighlyhinderedorrestrictedprocess.
Non-monoexponentialdecaysareexperimentallyobservedinbothwhitematterandgraymatter.Moreover,thesimplifieddescriptionofthediffusionprocessinvivobya2nd-order3DdiffusivitytensorpreventsDTIfrombeingtrulyeffectiveincharacterizingrelativelyisotropictissuesuchasGM.EveninWM,theDTImodelcanfailifthetissuecontainssubstantialcrossingordivergingfibers.
defectsofDTIAsaresult,DTIquantitationisb-valuedependentandDTIfailstofullyutilizethediffusionmeasurementsthatareinherenttotissuemicrostructure.OtheradvantagesofDKIMeankurtosis(MK),theaverageapparentkurtosisalongalldiffusiongradientencodingdirections,hasbeenmeasuredanddemonstratedtoofferanimprovedsensitivityindetectingdevelopmentalandpathologicalchangesinneuraltissuesascomparedtoconventionalDTI.Inaddition,directionalkurtosisanalysishasbeenformulatedtorevealdirectionallyspecificinformation,suchasthewaterdiffusionkurtosesalongthedirectionparallelorperpendiculartotheprinciplewaterdiffusiondirectionasdeterminedbythe2nd-orderdiffusiontensorConditionsThemethodisbasedonthesametypeofpulsesequencesemployedforconventionaldiffusion-weightedimaging(DWI),buttherequiredbvaluesaresomewhatlargerthanthoseusuallyusedtomeasurediffusioncoefficients.Inthebrain,bvaluesofabout2000s/mm2aresufficient.Atleast15non-collinearandnon-coplanardirectionsarerequiredtoconstructKT.Kurtosistensor(KT)derivedparametersMK(meankurtosis):MKisameasureoftheoverallkurtosis.Itdoesnothaveanydirectionalspecificity.MK的大小取决于感兴趣区内组织的结构复杂程度,结构越复杂非正态分布水分子扩散受限越显著,MK也即越大K∥(Axialkurtosis)andK⊥(Radialkurtosis)
:canbedefinedasthekurtosisparallelandperpendiculartotheprinciplediffusioneigenvector(e1)K⊥越大表明在该方向非正态分布水分子扩散受限越明显,反之则表明扩散受限越弱FAK(fractionalanisotropyofkurtosis)SimilartoFAinDTI,theanisotropyofdirectionalkurtosiscanbeconvenientlydefinedasFAK
KA越小即表示越趋于各向同性扩散;若组织结构越紧密越规则,KA越大DKIparametricmapsDKIparametricmapsTypicalDKI-derivedparametricmapsfromasinglesliceofa)invivo,b)formalin-fixedadultratbrainsandc)anormalhumansubject(male,44yearsold).Axialdiffusivity(λ//),radialdiffusivity(λ⊥),meandiffusivity(MD),axialkurtosis(K//),radialkurtosis(K⊥),meankurtosis(MK),fractionalanisotropy(FA),directionallyencodedcolourFA(DEC-FA)andfractionalanisotropyofkurtosis(FAK)mapsarecomputedfromDKImodel.DKIparametricmapsFor(a),rawDWIswereacquiredbySEEPIwithTR/TE = 3000/30.3 ms,δ/Δ = 5/17 ms,slicethickness = 1 mm,FOV = 30 × 30 mm2,datamatrix = 128 × 128(zerofilledto256 × 256),NEX = 4,6b-values(0.0,0.5,1.0,1.5,2.0and2.5 ms/µm2)andalong30directionsusing7TscannerDKIparametricmapsFor(b),rawDWIswereacquiredwiththesameparametersasthoseforinvivoexceptTE = 34.3 ms,δ = 9 msandb-valuesof0.0,1.0,2.0,3.0,4.0and5.0 ms/µm2.Alargerb-valuerangewasusedinexvivoexperimentduetothegenerallylowerdiffusivities.DKIparametricmaps
HigherMKisfoundinWM,indicatingagenerallyhigherdegreeofdiffusioncomplexityandrestrictionintheWMstructures.ItcanbeseenfromthedirectionalkurtosismapsthatsuchhighMKinWMismainlycontributedbyK⊥.ThissuggeststheexistenceofheterogeneityandrestricteddiffusioninaxonalstructuresBothMKandK⊥
exhibitstrongcontrastbetweenWMandGMstructures.DKIparametricmapsBothMKandK⊥
exhibitstrongcontrastbetweenWMandGMstructures.PositivemeananddirectionalkurtosesareobservedinbothWMandGM,indicatingfasterDWsignaldecayatlowerb-valuesandrestricteddiffusionenvironmentinbothWMandGMunderinvivoandformalin-fixedconditions.Directionalkurtosisanalysisoffixedexperimentalautoimmuneencephalitis(EAE)spinalcordTheinflammatoryneurodegenerativediseaseEAE
ischaracterizedbybothaxonallossanddemyelinationInrecentDKIstudies,therearepromisingresultsofusingMKtodetectchangesinnormalorpathologicalneuraltissue
However,asanaverageofkurtosesalongallthediffusiondirections,MKcanlosesensitivityandspecificityinprobingdirectionalchangesofpathologicaltissueEAEspinalcordK//
isfoundtobesignificantlyincreasedandλ//
decreasedinthelesionareaλ//
reductionislikelyduetocytoskeletalperturbationordebrisformationwhentheaxonalstructuresbreakdownInaddition,λ⊥
increaseswhereasK⊥
decreaseslikelybecauseofthedemyelinationandaxonallossthatalsoleadtolessdiffusionrestrictioninradialdirection.MonitoringpostnatalbrainmaturationbyconventionalDTI
CC:corpuscallosum(胼胝体);EC:externalcapsule(外囊);CP:cerebralpeduncle(大脑脚);AC:anteriorcommissure;(前联合)CT:cerebralcortex(脑皮质);HP:hippocampus(海马);CPu:caudateputamen(新纹状体)MonitoringpostnatalbrainmaturationbyconventionalDTI
Thesensitivityofλ//
indetectingratbrainWMmaturationisgenerallyobservedtobethehighestatlowb-value
Atrelativelylowb-values,theapparentdiffusivityisprimarilycontributedfromthefastwaterdiffusionactivitiesinextracellularspacethatdependonbothcellularmicrostructureandmembranepermeability.
Theuseoflowb-valuecanbestdetectthesechanges.Thehighλ//
sensitivityatlowb-valueobservedinthecurrentstudysuggeststhealterationsofthesefastwaterdiffusionactivitiesalongaxonaldirectionduringbrainmaturation.
Suchalterationsmayresultfromtheincreaseinpackingdensityoffiberbundlesandaxons,axonaldiameterincrease,changesinneurofibrils,andincreasedcomplexityofextracellularmatrix.MonitoringpostnatalbrainmaturationbyconventionalDTI
Whereasthatofλ⟂
isthehighestathighb-valueThediffusionchangesprobedinWMusinghighb-valuesareascribedmoretotheslowwatermoleculediffusionparticularlyalongtheradialdirectionwhentraversingthemembranesandmyelinsheathsThehighsensitivityofλ⟂
athighb-valueindetectingbrainmaturationshowninthefigurelikelyreflectstheseWMmicrostructuralchanges,includingmyelinationandaxonaldensityanddiameterchangesduringpostnatalbraindevelopment.MonitoringpostnatalbrainmaturationbyDKIFigure7ashowsthatthesensitivityoffittingallthemulti-b-valueDWIstoDTImodelisgenerallysimilartothatofemployingamediumb-value(b = 1.5 ms/µm2)showninFigure6InFigure7b,thegeneralandcontinualkurtosisincreasewithageisobserved,indicatingthatmorediffusionrestrictionoccursduringbrainmaturationinbothWMandGMstructures.TheDKI-deriveddiffusivityandkurtosisindicesarehighlysensitivetobraindevelopmentalchanges.MonitoringpostnatalbrainmaturationbyDKI
Bothλ//
andK//
ofWMarefoundtoincreaseswithage,whichmayarisefromvariousbiologicaleventsduringearlypostnatalbrainmaturation.TheincreaseofdiffusivitycanbecausedbyaxoplasmicflowduringthemyelinationperiodneuronallossandaxonalpruningthatshortenstheaxonlengthcanleadtoanincreaseofrestrictionMonitoringpostnatalbrainmaturationbyDKITheincreaseofK⊥
inWMislikelyascribedtothemyelinationandmodificationofaxonalstructuresthatincreasesrestrictionintheradialdirection.
DKIanalysisalsorevealsthatdiffusionrestrictionintherelativelyisotropicGMincreaseswithage.ThismayreflectthemoredenselypackedstructuresandthedendriticarchitecturalmodificationinGMDTIVSDKIinmonitoringpostnatalbrainmaturation
WhenthereisalargeK,theestimateddiffusivityinconventionalDTIshowsalargediscrepancywiththediffusivityestimatedinDKIapproach.AsKinallthestructuresispositive,DTI-deriveddiffusivitiesaregenerallylowerthanthosebyDKI.Therelativelyhighsensitivityoftheλ⊥
inmonoexponentialDTImodelismainlyaresultofincreasingK⊥
withage(whilethechangesofλ⊥
inDKIaremoderate).DTIVSDKIinmonitoringpostnatalbrain
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