Abstract
Coronary Artery Calcium (CAC) is a sign of advanced atherosclerosis and an independent risk factor for cardiac events. Here, we describe CAC-distributions in an unselected aged population and compare modelling methods to characterize CAC-distribution. CAC is difficult to model because it has a skewed and zero inflated distribution with over-dispersion. Data are from the AGES-Reykjavik sample, a large population based study [2002–2006] in Iceland of 5,764 persons aged 66–96 years. Linear regressions using logarithmic- and Box-Cox transformations on CAC+1, quantile regression and a Zero-Inflated Negative Binomial model (ZINB) were applied. Methods were compared visually and with the PRESS-statistic, R2 and number of detected associations with concurrently measured variables. There were pronounced differences in CAC according to sex, age, history of coronary events and presence of plaque in the carotid artery. Associations with conventional coronary artery disease (CAD) risk factors varied between the sexes. The ZINB model provided the best results with respect to the PRESS-statistic, R2, and predicted proportion of zero scores. The ZINB model detected similar numbers of associations as the linear regression on ln(CAC+1) and usually with the same risk factors.
Similar content being viewed by others
Abbreviations
- CAC:
-
Coronary artery calcium
- CAD:
-
Coronary artery disease
- CVD:
-
Cardiovascular disease
- CI:
-
Confidence interval
- CIMT:
-
Carotid intima medial thickness
- HDL:
-
High density lipoprotein
- OR:
-
Odds ratio
- SD:
-
Standard deviation
- TIA:
-
Transient ischemic attack
- ZINB:
-
Zero inflated negative binomial
References
McClelland RL, Chung H, Detrano R, Post W, Kronmal RA. Distribution of coronary artery calcium by race, gender, and age: results from the multi-ethnic study of atherosclerosis (MESA). Circulation. 2006;113(1):30–7. doi:10.1161/circulationaha.105.580696.
Hoffmann U, Massaro JM, Fox CS, Manders E, O’Donnell CJ. Defining normal distributions of coronary artery calcium in women and men (from the Framingham Heart Study). Am J Cardiol. 2008;102(9):1136–41.e1. doi: 10.1016/j.amjcard.2008.06.038.
Oei H-HS, Vliegenthart R, Hofman A, Oudkerk M, Witteman JCM. Risk factors for coronary calcification in older subjects. Eur Heart J. 2004;25(1):48–55. doi:10.1016/j.ehj.2003.10.008.
Kronmal RA, McClelland RL, Detrano R, Shea S, Lima JA, Cushman M, et al. Risk factors for the progression of coronary artery calcification in asymptomatic subjects: results from the multi-ethnic study of atherosclerosis (MESA). Circulation. 2007;115(21):2722–30. doi:10.1161/circulationaha.106.674143.
Hoff JA, Daviglus ML, Chomka EV, Krainik AJ, Sevrukov A, Kondos GT. Conventional coronary artery disease risk factors and coronary artery calcium detected by electron beam tomography in 30,908 healthy individuals. Ann Epidemiol. 2003;13(3):163–9. doi:10.1016/s1047-2797(02)00277-6.
Polonsky TS, McClelland RL, Jorgensen NW, Bild DE, Burke GL, Guerci AD, et al. Coronary artery calcium score and risk classification for coronary heart disease prediction. JAMA-J AM MED ASSOC. 2010;303(16):1610–6. doi:10.1001/jama.2010.461.
Pletcher MJ, Tice JA, Pignone M, Browner WS. Using the coronary artery calcium score to predict coronary heart disease events: a systematic review and meta-analysis. Arch Intern Med. 2004;164(12):1285–92. doi:10.1001/archinte.164.12.1285.
Reilly MP, Wolfe ML, Localio AR, Rader DJ. Coronary artery calcification and cardiovascular risk factors: impact of the analytic approach. Atherosclerosis. 2004;173(1):69–78. doi:10.1016/j.atherosclerosis.2003.10.010.
Pletcher M, Tice J, Pignone M, McCulloch C, Callister T, Browner W. What does my patient’s coronary artery calcium score mean? Combining information from the coronary artery calcium score with information from conventional risk factors to estimate coronary heart disease risk. BMC Med. 2004;2(1):31.
Budoff MJ, Nasir K, McClelland RL, Detrano R, Wong N, Blumenthal RS, et al. Coronary calcium predicts events better with absolute calcium scores than age-sex-race/ethnicity percentiles: MESA (Multi-Ethnic Study of Atherosclerosis). J Am Coll Cardiol. 2009;53(4):345–52. doi:10.1016/j.jacc.2008.07.072.
Greenland P, Bonow RO, Brundage BH, Budoff MJ, Eisenberg MJ, Grundy SM, et al. ACCF/AHA 2007 clinical expert consensus document on coronary artery calcium scoring by computed tomography in global cardiovascular risk assessment and in evaluation of patients with chest pain: a report of the American College of Cardiology Foundation Clinical Expert consensus task force (ACCF/AHA writing committee to update the 2000 expert consensus document on electron beam computed tomography) developed in collaboration with the society of atherosclerosis imaging and prevention and the society of cardiovascular computed tomography. J Am Coll Cardiol. 2007;49(3):378–402. doi:10.1016/j.jacc.2006.10.001.
Ma S, Liu A, Carr J, Post W, Kronmal R. Statistical modeling of agatston score in multi-ethnic study of atherosclerosis (MESA). PLoS ONE. 2010;5(8):e12036.
Hardin JW, Hilbe JM. Generalized liner models and extensions, 2 edn. College Station: Stata Press; 2007.
Hilbe JM. Negative binomial regression. New York: Cambridge University Press; 2007.
O’Donnell CJ, Kavousi M, Smith AV, Kardia SLR, Feitosa MF, Hwang S-J, et al. Genome-wide association study for coronary artery calcification with follow-up in myocardial infarction/clinical perspective. Circulation. 2011;124(25):2855–64. doi:10.1161/circulationaha.110.974899.
Seyahi N, Kahveci A, Cebi D, Altiparmak MR, Akman C, Uslu I, et al. Coronary artery calcification and coronary ischaemia in renal transplant recipients. Nephrol Dial Transplant. 2011;. doi:10.1093/ndt/gfq413.
Peinemann F, Moebus S, Dragano N, Möhlenkamp S, Lehmann N, Zeeb H et al. Secondhand Smoke Exposure and Coronary Artery Calcification among Nonsmoking Participants of a Population-Based Cohort. Environ Health Perspect. 2011;119(11).
Crosier MD, Booth SL, Peter I, Dawson-Hughes B, Price PA, O’Donnell CJ, et al. Matrix Gla protein polymorphisms are associated with coronary artery calcification in men. J Nutr Sci Vitaminol. 2009;55(1):59–65.
Scheuner MT, Setodji CM, Pankow JS, Blumenthal RS, Keeler E. Relation of familial patterns of coronary heart disease, stroke, and diabetes to subclinical atherosclerosis: the Multi-Ethnic Study of Atherosclerosis. Genet Med. 2008;10(12):879–87.
Chai HS, Bailey KR. Use of log-skew-normal distribution in analysis of continuous data with a discrete component at zero. Stat Med. 2008;27(18):3643–55.
Stata 11 help for zinb. 2011. http://www.stata.com/help.cgi?zinb. Accessed 3 June 2011.
SAS/ETS(R) 9.2 User’s Guide. 2011. http://support.sas.com/documentation/cdl/en/etsug/60372/HTML/default/viewer.htm#etsug_countreg_sect029.htm. Accessed 3 June 2011.
Regression Models for Count Data in R. 2011. http://cran.r-project.org/web/packages/pscl/vignettes/countreg.pdf. Accessed 3 June 2011.
Agatston A, Janowitz W, Hildner F, Zusmer N, Viamonte M Jr, Detrano R. Quantification of coronary artery calcium using ultrafast computed tomography. J Am Coll Cardiol. 1990;15(4):827–32.
Cui Y, Yang W. Zero-inflated generalized Poisson regression mixture model for mapping quantitative trait loci underlying count trait with many zeros. J Theor Biol. 2009;256(2):276–85. doi:10.1016/j.jtbi.2008.10.003.
Harris TB, Launer LJ, Eiriksdottir G, Kjartansson O, Jonsson PV, Sigurdsson G, et al. Age, gene/environment susceptibility-reykjavik study: multidisciplinary applied phenomics. Am J Epidemiol. 2007;165(9):1076–87. doi:10.1093/aje/kwk115.
Scher AI, Gudmundsson LS, Sigurdsson S, Ghambaryan A, Aspelund T, Eiriksdottir G, et al. Migraine headache in middle age and late-life brain infarcts. JAMA-J AM MED ASSOC. 2009;301(24):2563–70. doi:10.1001/jama.2009.932.
Carr JJ, Nelson JC, Wong ND, McNitt-Gray M, Arad Y, Jacobs DR, et al. Calcified coronary artery plaque measurement with cardiac CT in population-based studies: standardized protocol of multi-ethnic study of atherosclerosis (MESA) and coronary artery risk development in young adults (CARDIA) study 1. Radiology. 2005;234(1):35–43. doi:10.1148/radiol.2341040439.
Jonsson H, Helgadottir GP, Aspelund T, Eiriksdottir G, Sigurdsson S, Ingvarsson T, et al. Hand osteoarthritis in older women is associated with carotid and coronary atherosclerosis: the AGES Reykjavik study. Ann Rheum Dis. 2009;68(11):1696–700. doi:10.1136/ard.2008.096289.
Kim C, Diez-Roux AV, Nettleton JA, Polak JF, Post WS, Siscovick DS, et al. Sex differences in subclinical atherosclerosis by race/ethnicity in the multi-ethnic study of atherosclerosis. Am J Epidemiol. 2011;. doi:10.1093/aje/kwr088.
Schmermund A, Möhlenkamp S, Berenbein S, Pump H, Moebus S, Roggenbuck U, et al. Population-based assessment of subclinical coronary atherosclerosis using electron-beam computed tomography. Atherosclerosis. 2006;185(1):177–82.
Han C, Kronmal R. Box–Cox transformation of left-censored data with application to the analysis of coronary artery calcification and pharmacokinetic data. Stat Med. 2004;23(23):3671–9.
Robert R, Sokal FJR. Biometry. 3rd ed. New York: W.H. Freemann and Company; 1995.
Vuong QH. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica. 1989;57(2):307–33.
Myers RH. Classical and modern regression with applications. 2nd ed. Belmont: Duxbury Press; 1990.
Newman AB, Naydeck BL, Sutton-Tyrrell K, Feldman A, Edmundowicz D, Kuller LH. Coronary artery calcification in older adults to age 99: prevalence and risk factors. Circulation. 2001;104(22):2679–84. doi:10.1161/hc4601.099464.
Wyman RA, Fraizer MC, Keevil JG, Busse KL, Aeschlimann SE, Korcarz CE, et al. Ultrasound-detected carotid plaque as a screening tool for advanced subclinical atherosclerosis. Am Heart J. 2005;150(5):1081–5.
Helgason A, Nicholson G, Stefansson K, Donnelly P. A reassessment of genetic diversity in Icelanders: strong evidence from multiple loci for relative homogeneity caused by genetic drift. Ann Hum Genet. 2003;67:281–97.
Bonow RO. Should coronary calcium screening be used in cardiovascular prevention strategies? N Engl J Med. 2009;361(10):990–7. doi:10.1056/NEJMcp0902177.
Statistics Iceland. Reykjavik. 2011. http://www.statice.is/. Accessed 28 June 2011.
Acknowledgments
This work was supported by the National Institutes of Health (NIH) contract N01-AG-12100; the National Institute on Aging, in part by the Intramural Research Program; Hjartavernd (the Icelandic Heart Association); and the Althingi (the Icelandic Parliament).
Conflict of interest
The authors declare that they have no conflict of interest.
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Gudmundsson, E.F., Gudnason, V., Sigurdsson, S. et al. Coronary artery calcium distributions in older persons in the AGES-Reykjavik study. Eur J Epidemiol 27, 673–687 (2012). https://doi.org/10.1007/s10654-012-9730-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10654-012-9730-6