a comparison of single and multi-site bmc

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CLINICAL SCIENCES A Comparison of Single and Multi-Site BMC Measurements for Assessment of Spine Fracture Probability Richard D. Wasnich, Philip D. Ross, James W. Davis, and John M. Vogel University ofHawaii John A. Burns School ofMedicine and Kuakini Medical Center, Osteoporosis Center, Honolulu, Hawaii In a prospective study of 699 women, 39 new spine fracture cases were observed during a mean follow-upof 3.6 yr. Spine fracture incidence was compared to initialbone mineral content (BMC) of the calcaneus, distal radius, proximal radius, and the lumbar spine. BMC at allfour sites was significantlyrelated to spine fracture incidence. Women at —1 s.d. for calcaneal BMChad a sevenfold greater probabilityof spine fracture than women at +1 s.d.; women at —2 s.d. had a 50-fold greater probabilitythan women at +2 s.d., even after adjustment for the effects of age. Combinations of BMCat two sites further strengthened the relationshipto spine fracture; the best two-site combination is calcaneus and distal radius BMC.Thuswomencan be categorizedandstratifiedaccordingto futurefracturerisk, andthe selection of postmenopausal women for preventive treatments can be guided by measurements of BMC. J NuciMed30:1166—1171, 1989 relationship between low bone mass and in creased fracture probability has long been suspected. Based upon cross-sectional data, various investigators have proposedthat bone mineral measurements be used in the selection ofwomen for postmenopausal estrogen replacement (1,2). However, some important questions remain unanswered. The ability to estimate fracture risk prospectively with bone mineral measurements has been questioned (3). There is also disagreement con cerning the ability of appendicular bone density meas urements to assess spine fracture risk (4). Finally, it is not known whether a combination of bone mineral content (BMC) measurement sites, representative of both cortical and trabecular compartments, would im prove the estimation of fractureprobability. In this prospective, cohort study we have explored the relationship of BMC measurements at four skeletal sites, both individually and in combination, to spine fracture incidence in a 6-year study of 699 postmeno pausal women. Received Oct.11,1988; revision accepted Jan.27,1989. Forreprintscontact:RichardD.Wasnich,MD,Universityof Hawaii, John A. Burns School ofMedicine and Kuakini Medical Center, Osteoporosis Center, 347 North Kuakini St., Honolulu, Hawaii 96817. METhODS The originalstudy population consistedof 1,098Japanese Americanwomen who were initiallyexamined betweenFeb mary, 1981and June, 1982.Details concerningthe identifi cation and recruitment of the original cohort have been re ported previously(5). The women ranged in age from 43 to 80 yr, with an initial mean age of 63.3 yr. At the initial examination all subjects had single photon absorptiometric bone mineralcontent (BMC)measurementsofthe calcaneus, distal radius,and proximal radius, as previouslyreported (5). Inaddition,a 50%randomsamplehadposteroanterior (PA) and lateral radiographsofthe thoraco-lumbarspine. In 1984, the appendicular BMC measurements were repeated, along with PA and lateral radiographsof the thoraco-lumbar spine and lumbar spine BMC measurements by dual photon ab sorptiometry(DPA). All subjectsreceivedspinal radiographs at each examination beginningin 1984. Lateral radiographs of the thoracic and lumbar spine were repeated beginningin late 1986. The duration offollow-up for each individual varied according to the time of the initial BMC measurement or spinal radiograph;the mean durationwas 3.6 yr. The anterior,middle,and posteriorheightsofeach vertebral body were measured on the lateral radiographswith the aid ofa digitizingpad and microcomputer.A fracturewasconsid cmi to be new if any of these heightsdiminished by 15%or more (6); in addition to the >15% height reduction, all fractures were confirmed by radiologistinterpretation. Only 1166 Wasnich, Ross,Davisetal The Journal of Nuclear Medicine by on February 11, 2018. For personal use only. jnm.snmjournals.org Downloaded from

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Page 1: A Comparison of Single and Multi-Site BMC

CLINICAL SCIENCES

A Comparison of Single and Multi-Site BMCMeasurements for Assessment of Spine

Fracture Probability

Richard D. Wasnich, Philip D. Ross, James W. Davis, and John M. Vogel

University ofHawaii John A. Burns School ofMedicine and Kuakini Medical Center,Osteoporosis Center, Honolulu, Hawaii

In a prospective study of 699 women, 39 new spine fracture cases were observed during amean follow-upof 3.6 yr. Spine fracture incidence was compared to initialbone mineralcontent (BMC) of the calcaneus, distal radius, proximal radius, and the lumbar spine. BMC atallfour sites was significantlyrelated to spine fracture incidence. Women at —1s.d. forcalcaneal BMChad a sevenfold greater probabilityof spine fracture than women at +1 s.d.;women at —2s.d. had a 50-foldgreater probabilitythan women at +2 s.d., even afteradjustment for the effects of age. Combinations of BMCat two sites further strengthened therelationshipto spine fracture; the best two-site combination is calcaneus and distal radiusBMC.Thuswomencanbecategorizedandstratifiedaccordingto futurefracturerisk,andtheselection of postmenopausal women for preventive treatments can be guided bymeasurements of BMC.

J NuciMed30:1166—1171,1989

relationship between low bone mass and increased fracture probability has long been suspected.Based upon cross-sectional data, various investigatorshave proposedthat bone mineral measurementsbe usedin the selection ofwomen for postmenopausal estrogenreplacement(1,2). However, some important questionsremain unanswered. The ability to estimate fracturerisk prospectively with bone mineral measurements hasbeen questioned (3). There is also disagreement concerning the ability of appendicular bone density measurements to assess spine fracture risk (4). Finally, it isnot known whether a combination of bone mineralcontent (BMC) measurement sites, representative ofboth cortical and trabecular compartments, would improve the estimation of fractureprobability.

In this prospective, cohort study we have exploredthe relationship of BMC measurements at four skeletalsites, both individually and in combination, to spinefractureincidence in a 6-year study of 699 postmenopausal women.

ReceivedOct.11,1988;revisionacceptedJan.27,1989.For reprintscontact:RichardD. Wasnich,MD,Universityof

Hawaii, John A. Burns School ofMedicine and Kuakini MedicalCenter, Osteoporosis Center, 347 North Kuakini St., Honolulu,Hawaii 96817.

METhODS

The originalstudypopulationconsistedof 1,098JapaneseAmericanwomen who were initiallyexaminedbetweenFebmary, 1981and June, 1982.Detailsconcerningthe identification and recruitment of the original cohort have been reported previously(5). The women ranged in age from 43 to80 yr, with an initial mean age of 63.3 yr. At the initialexamination all subjects had single photon absorptiometricbone mineralcontent (BMC)measurementsofthe calcaneus,distal radius,and proximalradius,as previouslyreported(5).In addition,a 50%randomsamplehadposteroanterior(PA)and lateralradiographsofthe thoraco-lumbarspine. In 1984,the appendicular BMC measurements were repeated, alongwith PA and lateral radiographsof the thoraco-lumbarspineand lumbar spine BMC measurements by dual photon absorptiometry(DPA).All subjectsreceivedspinal radiographsat each examination beginningin 1984.Lateral radiographsof the thoracic and lumbar spine were repeatedbeginninginlate 1986. The durationoffollow-up foreach individual variedaccording to the time of the initial BMC measurement orspinal radiograph;the mean duration was 3.6 yr.

Theanterior,middle,and posteriorheightsofeach vertebralbody were measured on the lateral radiographswith the aidofa digitizingpad and microcomputer.A fracturewasconsidcmi to be new if any of these heightsdiminishedby 15%ormore (6); in addition to the >15% height reduction, allfractureswere confirmed by radiologistinterpretation. Only

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TABLE1SpineFracture Incidence Rates (Fracture Casesper1

,000 Person Years)forVariousBMCLevelsDistalProximalLumbarCalcaneus

radius radius spine

Valuesof mean (s.d.) BMCwere 311 (67),0.699 (0.128), 0.725(0.109), and 0.926 (0.153) for calcaneus, distal radius, proximalradius,and spine,respectively.These incidencerates are basedonanaverageageof63.7yrandthe IndicatedBMCvalues,usingthecoefficientsfromthe logisticregressionmodal.

The independent contributions of each of the BMCmeasurements were assessed by placing all combinations of two BMC sites into the age-adjusted, logisticmodel. Both calcaneus and distal radius BMC remainsignificantwhen any ofthe other three sites are includedin the model (Table 3, column 2). Lumbar spine BMCremains significant only in the case of proximal radiusBMC,andthe proximalradiusis not significantwhenany of the other three sites are included. The only twosite combination in which both sites provided significant, independent information is calcaneus and distalradius.

The extent to which a second BMC measurementcontributes additional fracture risk information wasexplored in the following way. First, adjustments in thelogistic model were performed for both age and the firstBMCmeasurement.Then estimatedrelativerisksforthe second measurement were calculated as describedabove (Table 3, column 4). For example, given a groupof women with similar distal radius BMC values, ohtaming calcaneal BMC (Table 3, row 4) can furtherdistinguish between individuals who differ in risk by afactor of 2.8 (95% CI = 1.4 to 5.7). Of all the variousmeasurement site combinations, the calcaneus consistently provided the greatestamount of additional information about fracturerisk.

In Figure 1 are shown representativeplots from thelogistic regression model for calcaneus BMC alone, andfor calcaneus and distal radius BMC combined. Therelative risks reported above can be calculated directlyfrom this graph. For example, the spine fracture mcidence rate at calcaneal BMC 1 s.d. below the mean(23.2 per 1,000 person-years) is taken as a ratio to thefracture rate at BMC values 1 s.d. above the mean (3.4per 1,000 person-years, yielding an estimated RR of6.9). From Figure 1 it can be seen that a greater RRwill result from the two-site vector. It can also be seenthat the estimated risk increases as BMC decreases.When a combination of calcaneus and distal radiusBMCvaluesare used in the logisticregressionmodel

the 699 women who had two or more radiographs wereincluded in the analyses.

In preliminary analysesof a subset (N=539), all subjectswith pre-existing (prevalence) spine fractures (N=75) wereexcluded.This did not affect the relationshipbetween BMCand spine fracture incidence. Therefore subjects with preexisting spine fractures were not excluded from the analysesreportedhere.

Statistical MethodsBonemineralcontent wastreatedas a continuousvariable,

adjusted for age by standard logistic regressionmethods (7).All significancevalueswerecalculatedfrom the usual regressionequations.However,resultsoflogisticregressionare oftenpresented as a list of coefficients corresponding to estimatedincrements in log odds that have very little intuitive meaning.Therefore, we have transformed coefficientsby solving thelogistic equation for BMC values 1 s.d. below the mean and1 s.d. above the mean, and taking the ratio to calculate anestimated relative risk (RR) value. Therefore, the estimatedRR compares spine fracture risk for those with BMC 1 s.d.below the mean to those with BMC 1 s.d. above the meanvalue.Covariate-adjusted95% confidenceintervals(CI)werealso derivedfrom these logisticmodelsto determinewhetherany RR was significantly different from 1.0. The utility ofcombinedBMCmeasurementswasevaluatedbytreatingeachBMC combination(e.g., calcaneusand distal radius)as avector for each individual, that was then used in the ageadjustedlogisticregression.The independentcontributionsofeach of the two BMC measurement combinations were assessed by including both sites simultaneously in the ageadjusted logistic regression model.

RESULTS

There were new spine fractures in 40 women; nineof these women had pre-existing spinal fractures, asinterpreted by a radiologist. None ofthe 40 new fracturecases were attributable to violent causes, such as autoaccidents. The fracture types included 37 cases withwedge and three with crush fractures.One case of wedgefracturesecondary to metastatic tumor was excluded.

In Table 1 are shown the age-adjustedspine fractureincidence rates for various BMC levels at each measurement site. At all sites the spine fracture incidencerate increaseswith diminishing BMC. Women who hadinitial calcaneus BMC levels 2 s.d.s below the meanhave a fracture rate of 55 per 1,000 person-yearscontrasted with a rate of 1 for women 2 s.d.s above themean.

In Table 2 are shown the age-adjustedrelative risksfor BMC values 1 s.d. below the mean versus values1 s.d. above the mean, for each ofthe four measurementsites. There is a strong relationship between diminishingBMC and spine fractureincidenceat all four sites.Women with calcaneal BMC 1 s.d. below the mean(244.0 mg/cm2) have approximately seven times greaterrisk of spine fracture than women with calcaneal BMC1 s.d. above the mean (377.4 mg/cm2).

+2 s.d.+1 s.d.Mean—1s.d.—2s.d.

1 2 2 43 4 4 59 9 10 9

23 22 22 1855 49 45 35

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Page 3: A Comparison of Single and Multi-Site BMC

SiteBone

mineralcontentRelative

risk95%C.I.Mean—1 s.d.+1s.d.Calcaneus310.7

mg/cm2244.0377.46.94.3,10.6Distalradius0.699 9/cm0.5710.8275.73.6,8.7Proximal

radius0.725 g/cm0.6160.8334.83.0,7.4Lumbarspine0.926 g/cm0.7731 .0793.92.4, 6.2

FirstmeasurementSecondmeasurementSitep-valu&SiteAR(95%

Cl)

. S@nIficance level for assoclation of the first BMC measure

mont with fracture incidence, after adjustment for age and theseco@ measurement.

TABLE 2Comparison of Age-Adjusted, Estimated Relative Risks for BMCValues 1 s.d. Below the Mean to Values 1 s.d.

Above the Mean (Single BMC Sfte Model)

(Table 4), a relative risk of 10.6 results, as compared to6.9 for calcaneus alone. In addition, only calcaneus anddistal radius BMC remained significant in the presenceof each other, suggesting that each contributes mdcpendent information about spine fracture risk.

The actual probabilities of spine fractureduring the3.6-yr duration ofthis study are shown in Table 5. Themean probability ofspine fracture, irrespective of BMC,was 5.6%. However, fracture probabilities varied substantially at difFerentlevels of calcaneal BMC. Womenwith BMC 2 s.d. below the mean had a 19.9% probability, whereas women at +2 s.d. had an 0.4% probability. Women at —2s.d. for both calcaneus and distalradius had a 25.0% probability of spine fracture, compared to an 0.2% probability for women at +2 s.d. forboth sites.

DISCUSSION

There is a compelling clinical need to identify womenwho will be at risk for fracturesin the postmenopausalyears. Agents such as estrogen can slow bone loss, but

the higher risk woman must be identified before or atthe time of menopause, when estrogen can still influence ultimate outcome. The preventive use of otheragents designed either to inhibit bone resorption (suchas calcitonin), or stimulate bone formation, also requires objective measures of increased fracture riskprior to fractureoccurrence. It is generally agreed thatprevention of bone loss is more effective than attempting to replace lost bone structureand mass.

The method of identifying and selecting the higherrisk woman is a source of disagreement. Some investigators have recommended that bone mass be measuredat the time of menopause, and those women classifiedas high risk be given the choice of cyclic estrogenreplacement (1,2). Riggs and Melton have proposedthat bone mass measurements be reserved for thosewomen with several risk factors (4,8). In any case,indiscriminate estrogen replacement for all postmenopausal women, irrespective oftheir actual fracture risk,is difficult to justify. Such an approach overtreatslowerrisk women who are not destined to fracture. In addition, if estrogens were prescribed only for higher riskwomen, the net effect upon ultimate fractureincidencemight be comparable to that achieved by treating allwomen; the cost of selective treatment would also besubstantially lower (9,10). Thus, the ability to identifyhigher risk women at the time of menopause wouldhave considerablepracticalvalue, particularlyifit couldbe done inexpensively.

In this prospective, cohort study, BMC at all fourskeletal measurement sites is strongly and significantlyrelatedto spine fractureincidence, and this relationshippersists after adjustment for age. The relationship ofspine fractureincidence to the three appendicularBMCsites is actually equal to, or stronger than, the relationship to lumbar spine BMC. Although this may appearparadoxical, it may be explained by the high prevalenceof conditions, such as aortic calcification and osteophyte formation, which artifactually increase spineBMCwhenmeasuredbyintegralmethodssuchasDPA(11-13). This would result in misclassification of suchindividuals, whose risk would be underestimated. Inprevious reports we have analyzed the relative contributions of various artifacts to measured BMC of thelumbar spine, and found that aortic calcification is the

TABLE 3Estimated Relative Risks of a Second BMC

Measurement AfterAdjustment for Both Age and a FirstBMCMeasurement

Calcaneus0.002DR1 .9(1 .0,3.9)Calcaneus0.008PR1.7(0.9,3.5)Calcaneus0.04LS1.5(0.9,3.4)Distal

radius0.05CA2.8(1 .4,5.7)Distalradius0.04PR1.4(0.9,2.9)DiStal

radius0.03LSI .7(0.9,3.8)Proximalradius0.1CA3.3(1 .5,6.9)Proximalradius0.3DR1 .9(1 .0,3.6)Proximalradius0.2IS2.1(1 .0,4.9)Lumbar

spine0.3CA2.2(1 .0,4.8)Lumbarspine0.2DR2.0(1 .0,5.1)Lumbarspine0.05PR1 .7(0.9,3.7)

TheJournalof NuclearMedicine1168 Wasnich,Ross,Davisat al

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-1 S.D. i@i +1 S.D.

TABLE4Comparisonof Age-Adjusted, Estimated RelativeRisksfor

BMCValues 1 s.d. Below the Mean to Values 1s.d.Abovethe Mean (Two BMC SiteModel)RelativeSites

risk 95%Cl.Calcaneus,

distalradius 10.6 6.4,17.5Calcaneus,proximalradius 9.1 5.6,14.6Calcaneus,lumbarspine 5.3 3.2,8.6Distal

radius,proximalradius 6.3 4.1,10.0Distalradius, lumbar spine 5.5 3.3,8.9Proximal

radius,lumbarspine 4.5 2.8,7.3

FIGURE 1Therelationshipbetweenspinefracture incidence and calcanaus BMC(solid line), and for calcanaus anddistalradiusBMCcombined(dottedline). The best fit for the logisticregression modal is shown. Spinefracture incidence increases substantiallyas BMCdecreases; this relationshipis approximatelyexponential.The additionof distal radius BMC

CALCANEUS BMC mg/cm2 to@ BMC further strength

PERCENTILES@ the relationship.

350 400 450

+2s.d.5.60.40.2+1s.d.5.61.20.8Mean5.63.22.8—1

s.d.5.68.48.9—2s.d.5.619.925.0

10!

7

Cl)

LU>.

0Cl)

LU0.000

LUC.)zLU0C)z

LU

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IL.

LUz0.Cl)

150 200 250 300

10 25 50 75 90

strongest contributor to artifactually-increased BMC(12,14). Attempts to statistically adjust for the presenceof aortic calcification increased the relative risk forlumbar spine BMC measurements by only 16%. Therefore exclusion of obvious artifacts such as osteophytesfrom the BMC calculation may improve the relationship to fracture marginally. However, it is possible thatthe inclusion ofcortical, nonweight bearing bone in theposterior vertebral elements is a more important confounder for lumbar spine BMC.

In a previous report, we have shown that any of thefour BMC measurements is a better indicator of spinefracture probability than is osteopenia on vertebralradiographs (12). Thus osteoporosis can be definedclinically by levels of fracture risk, using BMC. However, the question as to how much fracturerisk shouldbe considered osteoporosis is both complex and somewhat arbitrary,and has been addressedin other manuscripts (12,15).

These data also indicate that estimation of fracturerisk at a given skeletal site, such as spine, does not

necessarily require direct BMC measurement at thepotential fracture site. Finally, the predominance ofanterior wedging among new spinal fractures suggeststhat this phenomenon may be a common step in theevolution of vertebralcollapse.

The fact that all four skeletal BMC measurementsrelate significantly to spine fracture incidence underscores the systemic nature of osteoporosis. However,the various BMC sites do differ somewhat in theirrelationship to spine fracture. These differences may berelatedto their relativecortical/trabecularcomposition,or their weight-bearingstatus. The fact that the two-sitemodel improves the estimation of spine fractureprobability may be secondary to the larger volume of measured bone, or alternatively to the sampling of bothcortical and trabecular compartments.

Although these data are limited to spine fractures,previous data from this cohort study have also shown astrong relationship between BMC and nonspine fractare incidence (16,17). Other investigators have alsoreporteda significant relationship between BMC of the

TABLE5PercentProbabilityof Spine Fracturewithouttasting,FollowingOne Test (Calcaneus BMC),and Following

Two Tests (Calcaneusand DistalRadiusBMC)Probabilityof Probabilityof Probabilityofspinefracture spinefracture spinefracturewfthouttesting withone test withtwotests

Volume30 •Number7 •July1989 1169

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Page 5: A Comparison of Single and Multi-Site BMC

proximal radius and nonspine fracture incidence (18).In a cross-sectional study, Marshall et al. have shownsubstantial concurrence of wrist, spine, and hip fractures; the association between spine and hip fractureswas particularlystrong (19). In this context, the currentdata support the concept of osteoporosis as a systemicdisease resulting in a generalized deficit of skeletalstrength. Those afflicted are thus at increased risk forall fractures. Although the data relating hip fracture tobone mass are largely limited to prevalence rather thanincidence fractures, it is generally believed that hipfractures are also related to osteoporosis, albeit at a latermean age than spine fractures (18). Comparative spinefracture incidence data for other ethnic groups are notavailable. However, there are no data to suggest thatthe relationship of BMC to fracture risk differs betweenethnic groups. Patterns of bone loss in this cohort aresimilar to those observed in Caucasians (20).

The relationship between BMC and spine fractureincidence, as described by the logistic model, is strongand approximately exponential. Fracture occurrencerises rapidly for women with calcaneal BMC valuesbelow 300 mg/cm2. Women with calcaneal BMC 1 s.d.below the mean have a sevenfold greaterrisk of spinefracture than women with BMC 1 s.d. above the mean.

Women at —1 s.d. for calcaneal and distal radialBMC combinedhave a tenfoldgreaterrisk of spinefracture than women at +1 s.d. Either calcaneal ordistal radius BMC contributes significant, additionalinformation about spine fracture risk, even if BMC atone of the other three sites is already known.

In order to illustrate the potential, clinical utility ofsuch data, the probabilities of spine fracture for thiscohort, in relation to BMC levels, can be calculated.For the total cohort, the mean probability of spinefracture is 5.6% during the mean follow-up of 3.6 yr.Thus if BMC is unknown, all women have the same,apparent risk, i.e., 5.6% (Table 5), since the combination of height, weight, and other risk factors did notrelate significantly to spine fracture incidence (21).However, if calcaneal BMC is known, women withBMC2 s.d.sbelowthe meanhavea 19.9%probabilityof spine fracture, compared to 0.4% for those 2 s.d.above the mean. This corresponds to a relative risk ofnearly 50. If distal radius BMC is also known, thenthose women at —2s.d. have a 25.0%probability,versus0.2% for those at +2 s.d., that corresponds to a relativerisk of 125. It should be emphasized that these relativefracture probabilities are based upon absolute BMClevels, and not upon comparisons to so-called, “normative―data. Thus knowledge of BMC alone substantially changes the future fracture probability of women,and this should influence the decision to use estrogenreplacement or other treatment modalities.

In summary, both appendicular and spinal BMC arestrongly related to spine fracture incidence, independ

ent of age. Appendicular BMC measurements of thecalcaneus, distal radius, and proximal radius can beused for the prospective assessment of spine fracturerisk, and the selection of postmenopausal women forestrogen replacement can be appropriately influencedby these relatively inexpensive measurements. Cost andbenefit considerations are complex, and have been addressed in a separate manuscript (10). Finally, thecombination of two BMC measurements, (i.e., calcaneus and distal radius) may further improve the riskstratifications by BMC. Whether such combined measurements would be cost-effective remains to be determined.

ACKNOWLEDGMENTS

The authorsthank BettyChoo,WilliamHornig,and Kathlyn Shahan for technical support, Toshiko Date, RN, andCarol Higa, MPH, RD, for interviewingsubjects,Gary Stephens and Carl Kamimoto for programmingassistance, andCheryl Ann Kim and BeverleyYuen for manuscript preparation.

This work was supported by a researchgrant (AG02483-07) from the National Instituteon Aging.

REFERENCES

1. Heaney RP. Risk factors in age-related bone loss andosteoporotic fracture. In: Christiansen C, Arnaud CD,Nordin BEC, Parfitt AM, Peck WA, Riggs BL, eds.Osteoporosis, Vol. 1. Copenhagen, Denmark: Glostrup Hospital, 1984:245—253.

2. Aloia JF, Cohn SH, Vaswani A, Yeh JK, Yuen K,EllisK. Risk factors for postmenopausal osteoporosis.Am JMed 1985;78:95—100.

3. Ott S. Should women get screening bone mass measurements?AnnlnternMed 1986; 104:874—876.

4. Riggs BL, Melton U. Involutional osteoporosis. NEnglJMed 1986;314:1676—1684.

5. Yano K, Wasnich RD, VogelJM, Heilbrun LK. Bonemineral measurements among middle-aged and elderly Japanese residents in Hawaii. Am J Epidemiol1984;119:751—764.

6. Riggs BL, Seeman E, Hodgson SF, Taves DR, OPallon WM. Effect of the fluoride/calciumregimen onvertebral fracture occurrence in postmenopausal osteoporosis. NEnglJMed 1982; 306:446—450.

7. Walker SH, Duncan DB. Estimation ofthe probabilityof an event as a function of several independent vanables.Biometrika1967;54:167—179.

8. Riggs BL, Melton III LI. N Engl J Med. Involutionalosteroporosis [Letter]. 1987; 316:216.

9. Wasnich 1W, Hagino R, Ross PD. Osteoporosis: willthe use of new technology increase or decrease healthcare costs?Hawaii Med J 1987;46:199—200.

10. Ross PD, Wasnich RD, MacLean Cl, Hagino R, VogelJM.A modelforestimatingthe potentialcostsandsavings of osteoporosis prevention strategies. Bone1988;9:337—347.

11. Krolner B, Berthelsen B, Nielsen SP. Assessment ofvertebralosteopenia.ActaRadio!Diag 1982;23:517—521.

12. Ross PD, Wasnich RD. Vogel JM. Detection of pre

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fracture spinal osteoporosis using bone mineral absorptiometry. JBone Mm Res 1988; 3:1—11.

13. DaCosta M, Goldsmith SJ, DeLaney M, et al. Conelation of partial area analysis in bone mineral density(BMD) studies using dual photon absorptiometry(DPA) [Abstract].JNuclMed 1986;27:907.

14. Ross PD, Wasnich RD. Vogel JM. Magnitude ofartifact errors in spine dual-photon absorptiometrymeasurements. In: Christiansen C, Johansen JS, RiisBJ, eds. Osteoporosis1987. Copenhagen,Denmark:Osteopress ApS, 1987:389—391.

15. Ross PD, Wasnich RD, MacLean CJ, Vogel JM. Prediction ofindividual lifetime fracture expectancy usingbone mineral measurements. In: Christiansen C, Johansen JS, Riis BJ, eds. Osteoporosis 1987. Copenhagen, Denmark: Osteopress ApS, 1987:288—293.

16. Wasnich RD, Ross PD, Heilbrun LK, Vogel JM.Prediction of postmenopausal fracture risk with bonemineral measurements. Am J Obstet Gynecol 1985;153:745—751.

17. Wasnich RD. Fracture prediction with bone massmeasurements. In: Genant HK, ed. Osteoporosis up

date 1987. San Francisco: University of CaliforniaPrinting Services, 1987:95—101.

18. Hui SL, Slemenda CW, Johnston CC Jr. Age and bonemass as predictors of fracture in a prospective study.JClinlnvest1988;81:1804—1809.

19. Marshall DH, Horsman A, Simpson M, Francis RM,Peacock M. Fractures in elderly women: prevalenceof wrist, spine, and femur fractures and their concurrence. In: Christiansen C, Arnaud CD, Nordin BEC,Parfitt AM, Peck WA, Riggs BL, eds. Osteoporosis,Vol. 1. Copenhagen, Denmark: Glostrup Hospital,1984:361—363.

20. DavisJW, Ross PD, Wasnich RD, MacLean CJ, VogelJM. Comparisonof cross-sectionaland longitudinalmeasurements of age-related changes in bone mass. JBoneMinRes l989;4:351—357.

21. Wasnich RD, Ross PD, MacLean CI, Davis JW, VogelJM. The relativestrengthsof osteoporoticriskfactorsin a prospectivestudy ofpostmenopausal osteoporosis.In: Christiansen C, Johansen JS, Riis BJ, eds. Osteoporosis 1987.Copenhagen, Denmark: OsteopressApS,1987:394—395.

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1989;30:1166-1171.J Nucl Med.   Richard D. Wasnich, Philip D. Ross, James W. Davis and John M. Vogel  Fracture ProbabilityA Comparison of Single and Multi-Site BMC Measurements for Assessment of Spine

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