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骨科及康复生物力学

骨科及復健生物力學1

骨小樑結構2

Wolff’slaw˙Formfollowsfunction˙Bonehastheabilitytoadapt,bychangingitssize,shape,andstructuretothemechanicaldemandsplacedonit˙Boneislaiddownwhereneededandresorbedwherenotneeded˙Theremodellingmaybeeitherexternal(achangeintheexternalshapeofthebone)or(achangeintheporosity,mineralcontent,anddensityofbone)3

StructuralAdaptation4

生物力學巨觀→微觀形態(Morphology)功能(Function)巨觀力學→微觀力學5

有限元素法σ=CεF=KxK:stiffnessmatrixViscoelasticmodelσ=μdε/dtμ:viscositycoefficient6

緻密骨(CorticalBone)組成:osteon,collagen,calcifiedtissue成骨細胞(osteoblaset)蝕骨細胞(osteoclast)骨母細胞(osteocyte)細胞力學(CellMechanics)7

海綿骨(CancellousBone)材料(material)及結構觀點(structure)材料性質:E結構性質:KTrussBarBeam8

材料性質各向同性(Isotropic)OnlyoneE(K…)σ=Eετ=GγShearmodulusG=E/2(1+ν)AnisotropicStiffnessmatrixSizeeffectofMechanicalproperties9

力學力(Force)變形(Deformation)PrincipalstrainStrainenergy應力(Stress)Principalstress10

骨折癒合(FractureHealing)11

骨折癒合(FractureHealing)12

BiologyofFractureHealingThefracture(~7daysafterinjury)Thegranulationtissuestage(~twoweeks)Thecallus(4~16weeks)Theremodelingprocess(1~4years)Themodelingstage(oneormoreyears)Theregionalacceleratoryphenomenon(RAP)13

BoneRemodelingTheA–R–FsequenceA:ActivationR:ResorptionF:Formation14

BoneModelingA-ForA-R15

MechanicalAdaptationRemodeling:A-R-FModeling:A-ForA-R16

骨折癒合(FractureHealing)17

ConceptofInterfragmentaryStrain(ε)

PerrenCordey˙Thetypeoftissueatthefracturegapcorrespondswiththedegreeofstrain˙Fracturehealingisaccompaniedbyasuccessivedecreasesofinterfragmentmotion˙Moresuitableforgaporcontacthealingmechanism18

骨折癒合(FractureHealing)ε:Interfragmentarystrain19

骨折癒合(FractureHealing)20

骨折癒合Thehydrostaticpressureisrepresentedas:?Theoctahedralshearstressisgivenas:?????????????????????????21

骨折癒合22

OsteogenicIndex

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