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w w w . r b o . o r g . b r

Original

article

Correlation

between

anthropometric

data

and

length

and

thickness

of

the

tendons

of

the

semitendinosus

and

gracilis

muscles

used

for

grafts

in

reconstruction

of

the

anterior

cruciate

ligament

Rafael

Noschang

Pereira

,

Francisco

Consoli

Karam,

Roberto

Luís

Schwanke,

Rubens

Millman,

Zilmar

Minetto

Foletto,

Carla

Helena

Augustin

Schwanke

PontifíciaUniversidadeCatólicadoRioGrandedoSul(PUC-RS),PortoAlegre,RS,Brazil

a

r

t

i

c

l

e

i

n

f

o

Articlehistory:

Received1September2014 Accepted5May2015

Availableonline9February2016

Keywords:

Anteriorcruciateligament Anthropometry

Transplantationautologous Tendons

a

b

s

t

r

a

c

t

Objective:Preoperativeestimationofthelengthanddiameterofthesemitendinosus(ST) andgracilis(G)tendonscanassistsurgeonsandallowthemtohavetheopportunityto choosealternativegrafts.Theaimofthisstudywastoinvestigatewhetheranthropometric measurementssuchasheight,weightandbodymassindex(BMI)orthepatient’sageand sexhaveanycorrelationwiththethicknessandthelengthofSTandGtendons.

Methods:Dataweregatheredfrom64patientswhounderwentthesurgicalprocedureof anteriorcruciateligamentreconstructionusingthetendonsoftheSTandGmusclesas grafts,betweenJune2012andAugust2013.Variablessuchasage,sex,weight,height,body massindex(BMI)andlengthanddiameterofthetendonsoftheSTandGmuscleswere analyzed.

Results:There wasa positivecorrelation betweenthe heightand totaldiameter ofthe quadruplegraft(r=0.254;p=0.043),totallengthoftheSTtendon(r=0.450;p<0.01),diameter ofthedoubleST(r=0.270;p=0.031),tripleST(r=0.347;p=0.005),lengthofGtendon(r=0.249;

p=0.047)anddiameterofthedouble-G(r=0.258;p=0.039).However,age(r=-0.015;p=0.908), weight(r=0.165;p=0.193)andbodymassindex(r=0.012;p=0.926)showednocorrelation.

Conclusion: Ourresultsshowthatage,weightandBMIdidnotcorrelatewiththediameter andlengthofthegraft,whiletheheighthadapositivecorrelationwiththetotallengthof theflexortendonsandthediameterofthegraftfromtheflexors(STandG).

©2016SociedadeBrasileiradeOrtopediaeTraumatologia.PublishedbyElsevierEditora Ltda.Allrightsreserved.

WorkperformedatHospitalSãoLucas,PontifíciaUniversidadeCatólicadoRioGrandedoSul(PUC-RS),HospitalMãedeDeusand HospitalDivinaProvidência,PortoAlegre,RS,Brazil.

Correspondingauthor.

E-mail:[email protected](R.N.Pereira).

http://dx.doi.org/10.1016/j.rboe.2016.01.011

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Correlac¸ão

entre

dados

antropométricos

e

comprimento

e

espessura

dos

tendões

dos

músculos

semitendinoso

e

grácil

usados

como

enxerto

na

reconstruc¸ão

do

ligamento

cruzado

anterior

Palavras-chave:

Ligamentocruzadoanterior Antropometria

Transplanteautólogo Tendões

r

e

s

u

m

o

Objetivo:Aestimativapré-operatóriadocomprimentoedodiâmetrodostendões semitendi-noso(ST)egrácil(G)podeauxiliarepermitirqueoscirurgiõestenhamaoportunidadede escolheropc¸õesdeenxerto.Oobjetivodesteestudofoipesquisarseexistecorrelac¸ãoentre asmedidasantropométricas,comoaltura,peso,índicedemassacorpórea(IMC),idadee sexodopaciente,comaespessuraeocomprimentodostendõesSTeG.

Métodos:Entrejunhode2012eagostode2013,foramcoletadososdadosde64pacientesque sesubmeteramaoprocedimentocirúrgicodereconstruc¸ãodoligamentocruzadoanterior emqueseusaramcomoenxertoostendõesdosmúsculosSTeG.Foramanalisadasvariáveis comoidade,sexo,peso,alturaeíndicedemassacorporal(IMC),comprimentoediâmetro dostendõesdosmúsculosSTeG.

Resultados: Houveumacorrelac¸ãopositivaentrealturaediâmetrototaldoenxertode quá-druplo(r=0,254p=0,043),comprimentototaldotendãoST(r=0,450,p<0,01),diâmetrodo STduplo(r=0,270p=0,031),STtriplo(r=0,347p=0,005),comprimentodotendãoG(r=0,249 p=0,047)ediâmetrodoGduplo(r=0,258p=0,039).Noentanto,idade(r=-0,015p=0,908), peso(r=0,165p=0,193)eíndicedemassacorporal(r=0,012p=0,926)nãoapresentaram correlac¸ão.

Conclusão:Nossosresultadosmostramqueidade,pesoeIMCnãosecorrelacionaramcomo diâmetroecomprimentodoenxerto,enquantoaalturatinhaumacorrelac¸ãopositivacom ocomprimentototaldostendõesflexoresecomodiâmetrodoenxertodosflexores(STeG). ©2016SociedadeBrasileiradeOrtopediaeTraumatologia.PublicadoporElsevier EditoraLtda.Todososdireitosreservados.

Introduction

Thegrowing trendtoward practicing sports,together with greatercomplexityofsportsmovementshasincreasinglybeen causingknee jointinjuriestoappear.Theanteriorcruciate ligament(ACL)isamongmostcommonlyaffectedligaments, and surgical treatment is chosen for most patients who presentpainandinstability.1Theautologousgraftsmost

fre-quentlyusedinACLreconstructionsarethepatellar,gracilis (G),semitendinosus(ST)andquadricepstendons.Each tech-niquehas its adherents and indications,and selecting the graftdependsonmanyfactors,includingthesurgeon’s pref-erenceandthepatient’sageandlevelofactivity.Thesurgical techniqueusingthetendonsoftheSTandGmusclesasgrafts presentsresults thatare similartothose from thepatellar tendontechniqueandenablesmootherandlesspainful reha-bilitation.Themaindisadvantagesofthistechniqueinclude theindividualvariabilityinlengthandthicknessofthegraft fromthetendonsandthepotentialcomplicationsduringgraft harvesting.2–5Afterthetendonshavebeenremovedfromthe

semitendinosusandgracilismuscles,andbeforethegrafthas beenconstructed,surgeonsarefacedwithmanypossibilities forthefinalconfigurationofthegraft.Theseincludeusingthe semitendinosustendonindouble,triple orquadruple form alone,orindoubleforminassociationwiththetendonofthe gracilismuscle,alsoindoubleform(thusmakingaquadruple graft),orevenothercombinations.Preoperativeestimationof thelengthanddiameteroftheSTandGtendonsmayhelpand allowsurgeonstohavetheopportunitytochooseanothergraft

optionifthetendonthatmightbeharvesteddoesnotmeet theneedsofagivenpatient.However,nomethodcapableof preciselydeterminingthelengthanddiameterofSTandG tendonsbeforeACLreconstructionsurgeryisperformedhas yetbeendescribedintheliterature.

The objective of this study was to investigate whether anthropometricmeasurementssuchasthepatient’sheight, weight,bodymassindex(BMI),ageandsexwouldhaveany correlation withthe thicknessandlengthofthehamstring tendons(STandG).

Materials

and

methods

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consentstatementwereexcludedfromthesample.Thestudy wasconductedamongpatientswhowereevaluatedthrough anamnesis, physical examination and magnetic resonance imaging,andforwhomtherewasanindicationforsurgical reconstruction ofthe ACL inwhich the ST and G tendons wereusedtoconstructthegraft.Thisinvestigationdidnot changetheroutineofstepstobefollowedduringthesurgical procedureindicated.Thedata-gatheringdidnotaddriskto theprocedure.Thisstudywasapprovedbyouruniversityand bytheresearchethicscommitteesoftheinstitutionsinvolved. Thefollowingvariables were analyzed:age, sex,weight, height,bodymassindex(BMI), lengthofthetendonofthe semitendinosusmuscle,lengthofthetendonofthegracilis muscle,diameterofthetendonofthesemitendinosus mus-clewhen folded inthe middle (double) and in threeparts (triple),diameterofthetendonofthegracilismusclewhen foldedinthemiddle(double)andthediameterofthetendons ofthesemitendinosusandgracilismuscleswhenfoldedinthe middleandgrouped(quadruple).

Firstly,demographicdata(ageandsex)and anthropomet-ricinformation(weightand height)reported atthe timeof thesurgerywereobtainedandnotedinthemedicalfile.Soon afterwards,duringthesurgicalprocedure,measurementson thetendonsofthesemitendinosusandgracilismusclesthat wereusedforconstructingthegraftsweremade.

The technique for obtaining the grafts during the ACL reconstructionsurgeryconsistedofanobliqueanteromedial incisionintheproximaltibia,attheleveloftheinsertionof theSTandGmuscles.Following this,thetendonoftheST musclewasdissectedand wasthen deinsertedagainstthe boneandremovedusingagraftextractor.Thesame proce-durewas repeatedin relationtothe tendonofthe gracilis muscle.Afterthetendonshadbeenpreparedthroughremoval ofthe musclelayer, the length(cm)and diameter (MM)of thegraftswereobtainedusingarulerandmeasuring cylin-derthathadpreviouslybeensterilized.Thediametersofthe semitendinosusandgracilisgraftsweremeasuredusingaset ofcylindrical tubesrangingindimensionfrom6to12mm, instepsof0.5mmbetween cylinders.Both ofthe tendons weremeasured.Inthecaseofthetendonderivedfromthe semitendinosusmuscle,its totallengthand diameterwere measured twice. Firstly, it was folded in the middle (dou-ble)andthenitwasfoldedintothreeparts(triple).Thetotal lengthand diameter ofthe graft derived from the gracilis muscleweremeasuredwiththetendonfoldedinthemiddle (double).Lastly,thelengthanddiameterofthetwotendons foldedinthemiddleandgroupedtogether(quadruple)were measured.Themeasurementsweremadewithoutsuturing thread,whichmighthavehinderedobtainingthereal dimen-sionsofthetendons(Figs.1and2).

Thedatagatheredwereanalyzedthroughdescriptiveand analytical statistics. IN the descriptive phase, means and standarddeviationswereused.Inthe analyticalphase,the variableswerecomparedinrelationtothedifferentlengths anddiametersofthetendonsofthesemitendinosusand gra-cilismuscles.Thettestforindependentsampleswasused toidentifydifferencesintheclinicalandintraoperative vari-ables.Pearson’scorrelation coefficient(r)andsimplelinear regressionwereusedtodeterminetherelationshipbetween theresultvariables(diameterofthequadruplegraftandthe

Fig.1–Removalofflexortendons.

lengthsofthesemitendinosusandgracilistendons)andthe predictivevariables(age,sex,height,weightandBMI). Differ-enceswereconsideredtobesignificantwhenPvalueswere lessthan0.05.TheanalysiswasdoneusingtheSPSSsoftware, version17.0.

Results

Among the 64 individuals analyzed between June 2012 and August 2013, 60 (94%) were male and four (6%) were female.Thepatients’meanagewas31.78±8.26years(range: 15–48 years); among the females, it was 32±13.49 years,

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Table1–Resultsfrommeasurementsonanthropometric data.

Variables Meanandstandarddeviation

Age(years) 31.78±8.26(15–48years)

Height(m) 1.77±0.08(1.52–1.96m)

Weight(kg) 82.43±12.89(56–115kg)

BMI{weight(kg)/height2(m)} 26.14±3.74(21.60–37.55)

Lengthofsemitendinosus tendon(cm)

28.75±2.91(23–36cm)

Doublesemitendinosus(mm) 6.24±0.75(4.5–8mm) Triplesemitendinosus(mm) 7.32±0.76(6–9mm) Lengthofgracilistendon(cm) 25.28±3.81(14–34cm) Doublegracilis(mm) 5.16±0.81(4–7mm) Diameterofthequadruple

graftfromtheflexor tendons(mm)

8.03±0.72(7–10mm)

Total=64patients(60malesandfourfemales).

and amongthemales,it was 31.76±7.97 years.Themean heightwas1.77±0.08cm(range:1.52–1.96cm);meanweight 82.43±12.89kg(range:56–115kg);andmeanBMI26.14±3.74 (range: 21.60–37.55). The mean tendon lengths measured duringthe operationwere28.75±2.91cm(range: 23–36cm) forthesemitendinosusand25.28±3.81cm(range:14–34cm) forthe gracilis.Themeans tendon thicknesses(diameters) were6.24±0.75mm(range: 4.5–8mm)forthedouble semi-tendinosus; 7.32±0.76mm (range: 6–9mm) for the triple semitendinosus;and6.24±0.75mm(range:4.5–8mm)forthe doublegracilis.Themeantotaldiameterofthequadruple ten-dongraft (STand G) was 8.03±0.72mm(range: 7–10mm). During the study period, wedid notobtain any quadruple flexorgraftssmallerthan7mmorlargerthan10mm(Table1). Intotal,75% ofthe patientshad quadrupleflexorgrafts ofdiameter7–8mm,while25%ofthegraftswerelargerthan

0

14

2

32

15

1 0

5 10 15 20 25 30 35

10 9

8 7.5 7

6

Number of occurrences

Diameters of quadruple grafts from flexors (mm)

Distribution of the diameters of quadruple grafts from flexors

Fig.3–Distributionofthediametersofquadruplegrafts

fromflexors.

8mm. Thefrequenciesofdifferentdiameters ofquadruple flexorgraftswereasfollows:7mm(22%),7.5mm(3%),8mm (50%),9mm(23.5%)and10mm(1.5%)(Fig.3).

Therewerepositivecorrelationsbetweenheightandthe totaldiameterofthequadruplegraftfromtheflexortendons (r=0.254; p=0.043);totallengthofthe semitendinosus ten-don(r=0.450;p<0.01);diameterofthedoublesemitendinosus (r=0.270; p=0.031); diameter of the triple semitendinosus (r=0.347;p=0.005);totallengthofthegracilistendon(r=0.249;

p=0.047); and diameter of the double gracilis (r=0.258;

p=0.039).However,age(r=−0.015;p=0.908),weight(r=0.165;

p=0.193) and body mass index (r=0.012; p=0.926) did not presentanycorrelationwiththetotaldiameterofthe quadru-plegraftorwiththelengthsofthesemitendinosusandgracilis tendons(Table2).

Table2–Correlationofthedimensionsofthegracilisandsemitendinosustendonswithanthropometricvariablesand age.

Tendons Age(years) Weight(kg) Height(m) BMI(kg/m2)

r p

r p

r p

r p

Totallengthofgracilis(cm) 0.064 0.221 0.249 0.076

0.613 0.079 0.047a 0.550

Doublegracilis(mm) −0.141 0.233 0.258a 0.101

0.265 0.063 0.039 0.427

Totallengthofsemitendinosus(cm) 0.171 0.214 0.450 −0.063

0.177 0.089 0.000a 0.621

Doublesemitendinosus(mm) −0.054 0.256a 0.270a 0.116

0.671 0.041 0.031 0.361

Triplesemitendinosus(mm) 0.132 0.176 0.347a 0.030

0.300 0.164 0.005 0.812

Thicknessofquadruplegraft(mm) −0.015 0.165 0.254 0.012

0.908 0.193 0.043a 0.926

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Discussion

Useofflexortendongraftshasbecomeanincreasinglypopular choiceamongorthopedicsurgeonsforACLreconstructions.6

Anatomicalstudieshavedemonstratedthatthemean diam-eterofthenormalACLisapproximately11mm,witharange from 6 to 12mm. Although the parameters foracceptable graftsizethat are necessaryinordertoachieve a satisfac-toryresult after ACL reconstruction have not been clearly defined,adiameterofatleast7mmhastraditionallybeen recommended.7–9 However,in a recent study, greater

inci-denceofACLreconstruction failurewasshown withgrafts smallerthan8mm.10Studiesonanimalmodelsthatevaluated

theinfluenceofgraftdiameteron graftstrength and resis-tancehavedemonstratedthatingraftssmallerthan8mm, failuredue totearingofthetendon materialoccurs,while in grafts larger than 10mm, failure occurs at the fixation screws,duetotraction.11Thus,acapacitytopredictwhich

patientspresentgreaterriskofhavinghamstringtendonsof insufficientdiameter,beforetheoperation,maybebeneficial forsurgicalplanning,therebyavoidingdisagreeable intercur-rencesduringtheoperation.7–10

Inourpatients,weusedavarietyofgraft combinations, suchastripleSTalone,quadrupleSTalone,doubleSTwith doubleG,tripleSTwithdoubleGandtripleSTwithtripleG. Theaimwasalwaystoseekgraftsofdiametergreaterthan 8mm,ofadequatelength.

Thecapacitytopredictthediameterandlengthofthegraft maybeusefulforcertainsurgicaltechniquesandmay pro-videoptionsforthesurgeon.Throughabiomechanicalstudy, Hamneretal.12 demonstrated thatthe resistance,stiffness

andbiomechanicalpropertiesofthegrafttendonareaffected byitsdiameter.However,theresultsfromthefewstudiesin theliteraturecorrelatingpatients’anthropometricdatawith thelengthanddiameterofflexorgraftscontinuetobe contra-dictory.

Inourstudy,weinvestigatedthepredictivevalueofsimple anthropometricmeasurementssuchasheight,weight, BMI andageinrelationtothelengthsofthesemitendinosusand gracilisflexortendonsandthediameterofthequadruplegraft fromtheflexors.Ourresultsshowedthatage,weightandBMI didnotcorrelatewiththelengthordiameterofthegraft,while heighthadapositivecorrelationwiththetotallengthofthe graftsfromthesemitendinosus(r=0.450;p<0.01)andgracilis (r=0.249;p=0.047),andalsowiththediameterofthe quadru-plegraftfromtheflexors(r=0.254;p=0.043).Adeeperanalysis using step-by-stepregression revealed that heightwas the clinicalparameterofgreatestimportanceforpredictingthe thicknessofthegraft.

Tumanetal.13analyzed106patientswhounderwentACL

reconstructionandreportedthatamongtheanthropometric dataanalyzedintheirstudy,suchasheight,weight,sexand age,heightwasthebestpredictorforthediameterofgrafts fromthehamstringsinbothsexes,andparticularlyamong women.Fromtheiranalysis,theyconcludedthatwomen pre-sentedgraft diametersthat were significantlysmallerthan thoseofmen,andthatinpatientswhoseheightwaslessthan 147cm,itwaslikelythatthegraftwouldbeinsufficient,with adiameteroflessthan7mm.

Maetal.14 retrospectivelyanalyzedpreoperative

anthro-pometricdatafrom536patients. Theirresultsshowedthat heightandsexweresignificantpredictorsforthediameterof flexortendongrafts.Malepatientshadgraftsthatwere signif-icantlylargerthanthoseoffemales.Itwasalsodemonstrated thatheightwasaspecificindicatorsolelyforthemen,without anysignificantresultsforthewomen.

Inastudyon119patientswhounderwentACL reconstruc-tion,Schwartzberget al.15reportedthattherewasastrong

correlation betweenleglengthand thelengthoftheflexor tendonsusedasgrafts(r=0.73;p<0.001).Inthesamestudy, weight(r=0.51;p<0.001)andleglength(r=0.42;p<0.001)only showed moderate correlations withgraft diameter.All the other correlationswere weakin relationto height.Weight measurementsandagedidnotshowanyrelationshipwiththe lengthanddiameteroftheflexortendons,andthesefindings were concordantwiththeresultsreportedbySchwartzberg etal.15

InanalysesbyTremeetal.16onthelengthanddiameterof

thesemitendinosusandgracilistendonsof50patientswho underwentACLreconstruction,astrongcorrelationwasfound betweenthelengthofthegraftandthepatient’sheightand lower-limblength.Thediameterofthegraft wascorrelated withthepatient’sweightandthighcircumference.

Althoughourstudy didnotconfirmall thepositive cor-relationsofotherstudies,12–17 ourresultsfavoredthenotion

thatindividualanthropometricvariablessuchasheightmay bepredictorsforthelengthanddiameteroftheflexortendons (STandG)thatareusedinACLreconstruction.Ourresultsalso showedthatheighthadapositivecorrelationwiththetotal lengthofthesemitendinosusandgracilistendonsandwith thediametersofdoubleST,tripleST,doubleGand quadru-plegrafts,andtheywerealsoconcordantwiththefindingsof Tumanetal.13Moreover,ourresultsdemonstratedthatheight

wasthemostimportantvariable,especiallyamongwomen, whereasSchwatzberg etal.15 foundthatheighthadaweak

correlationwiththighdiameterand thatweightand lower-limbdiameterhadamoderatecorrelationwithgraftdiameter. Thereislimitedevidenceintheliteraturecorrelatingthe patient’sfitnessandphysicalactivitylevelwiththelengthand diameteroftheflexortendons.Tremeetal.16reportedthat

theyhadnotfoundanycorrelationbetweenthediameterof theflexorgraftsandthepatient’ssportsandactivitylevels. SimilarresultswererecordedbyPichleretal.17intheirstudy

oncadavers.

Other studies in the literature have used radiological imaging examinations such as computed tomography and magneticresonanceimaging(MRI)inanattempttopredict thelengthanddiameterofflexorgraftsbeforetheoperation. Althoughsomestudieshaveshowngoodcorrelationsbetween measurementsofcross-sectionalareaandtendonthickness, othershavenotshownanycorrelation.18–20Nevertheless,the

lackofstandardizationinrelationtothelevelatwhich mea-surementsaremadeandregardingthetrustworthinessand precisionofthe examinationsgivesrisetolimitations that make the results obtainedquestionable. Yasumoto et al.19

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Hamadaetal.20showedthatMRIwasimpracticalfor

evalu-atingthesizesofthetendons,giventhatalongsweeptime wouldbeneededandthecostishigh.

Conclusion

Thecapacitytopreciselypredictthelengthanddiameterof thehamstringtendons(STandG)usedinACLreconstructions continuestobeanimportantfactorindecision-makingandin choosingthebestsurgicaltechniqueandtheappropriategraft. Ourresultsshowedthatage,weightandBMIdidnotcorrelate withthediameterandlengthofthegraft,whileheightshowed apositivecorrelationwiththetotallengthoftheflexor ten-donsandwiththediameterofthegraftfromtheflexors(ST andG).

Conflicts

of

interest

Theauthorsdeclarenoconflictsofinterest.

Acknowledgements

SpecialthankstothephysiciansLuizAntonioSilveiraSimões PiresandGuilhermeIslerPereira,whocontributedequallyto data-gatheringandconductingthisstudy.

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12.HamnerDL,BrownCH,SteinerME,HeckerAT,HayesWC. Hamstringtendongraftsforreconstructionoftheanterior cruciateligament:biomechanicalevaluationofthemultiple strandsandtensioningtechniques.JBoneJointSurgAm. 1999;81(4):549–57.

13.TumanJM,DiduchDR,RubinoLJ,BaumfeldJA,NguyenHS, HartJM.Predictorsforhamstringgraftdiameterinanterior cruciateligamentreconstruction.AmJSportsMed. 2007;35(11):1945–9.

14.MaCB,KeifaE,DunnW,FuFH,HarnerCD.Canpre-operative measurespredictquadruplehamstringgraftdiameter?Knee. 2010;17(1):81–3.

15.SchwartzbergR,BurkhartB,LariviereC.Predictionof hamstringtendonautograftdiameterandlengthforanterior cruciateligamentreconstruction.AmJOrthop(BelleMead NJ).2008;37(3):157–9.

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17.PichlerW,TeschNP,SchwantzerG,FronhöferG,BoldinC, HausleitnerL,etal.Differencesinlengthandcross-sectionof semitendinosusandgracilistendonsandtheireffecton anteriorcruciateligamentreconstruction:acadaverstudy.J BoneJointSurgBr.2008;90(4):516–9.

18.WerneckeG,HarrisIA,HouangMT,SeetoBG,ChenDB, MacDessiSJ.Usingmagneticresonanceimagingtopredict adequategraftdiametersforautologoushamstring double-bundleanteriorcruciateligamentreconstruction. Arthroscopy.2011;27(8):1055–9.

19.YasumotoM,DeieM,SunagawaT,AdachiN,KobayashiK, OchiM.Predictivevalueofpreoperative3-dimensional computertomographymeasurementofsemitendinosus tendonharvestedforanteriorcruciateligament reconstruction.Arthroscopy.2006;22(3):259–64.

Imagem

Fig. 1 – Removal of flexor tendons.
Table 2 – Correlation of the dimensions of the gracilis and semitendinosus tendons with anthropometric variables and age.

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7 — Como entre os gregos e na aurora da filosofia helênica, ao tem po do orfism o, o valor ganhou outras e percussivas dim ensões, disse- minou-se pelos m om entos mais diversos

Por essa razão, a proposição de um sistema informatizado de apoio ao monitoramento dessas pragas de eucalipto, que fazem uso de cartões-armadilha adesivos amarelos, auxiliaria

Identifiable structures were as follows: (dorsal) tendon of the muscle extensor carpi radialis, tendon of the muscle extensor carpi obliquus, tendon of the muscle commom

não existe emissão esp Dntânea. De acordo com essa teoria, átomos excita- dos no vácuo não irradiam. Isso nos leva à idéia de que emissão espontânea está ligada à

Todas as curvas de crescimento obtidas com os modelos não-lineares apresentaram uma caracterís- tica sigmoidal (Fig. Com exceção de Richards, todas as funções mostraram melhor

The probability of attending school four our group of interest in this region increased by 6.5 percentage points after the expansion of the Bolsa Família program in 2007 and