Semi-automatic computer-assisted planimetry is often used for the quantification of restenosis parameters after balloon angioplasty although it is a time-consuming method. Moreover, slicing the artery to enable analysis of two-dimensional (2-D) images leads to a loss of information since the vessel structure is three-dimensional (3-D). Cavalieri’s principle uses systematic random sampling allowing 3-D quantification. This study compares the accuracy and efficiency of planimetry versus point-counting measurements on restenosis parameters after balloon angioplasty and investigates the use of Cavalieri’s principle for 3-D volume quantification. Bland and Altman plots showed good agreement between planimetry and point counting for the 2-D and 3-D quantification of lumen, internal elastic lamina (IEL) and external elastic lamina (EEL), with a slightly smaller agreement for intima and media. Mean values and induced coefficients of variation were similar for both methods for all parameters. Point counting induced a 6% error in its 3-D quantification, which is negligible in view of the biological variation (>90%) among animals. However, point counting was 3 times faster compared to planimetry, improving its efficiency. This study shows that combining Cavalieri’s principle with point counting is a precise and efficient method for the 3-D quantification of restenosis parameters after balloon angioplasty.

1.
Califf RM, Fortin DF, Frid DJ, Harlan WR, Ohman EM, Bengtson JR, Nelson CL, Tcheng JE, Mark DB, Stack RS: Restenosis after coronary angioplasty: An overview. J Am Coll Cardiol 1991;17:2B–13B.
2.
Christen T, Verin V, Bochaton-Piallat M-L, Popowski Y, Ramaekers F, Debruyne P, Camenzind E, van Eys G, Gabbiani G: Mechanisms of neointima formation and remodeling in the porcine coronary artery. Circulation 2001;103:882–888.
3.
Höfling B, Huehns TY: Restenosis after angioplasty – an update on relevant animal models. J Invasive Cardiol 1996;8:388–395.
4.
Faxon DP, Sanborn TA, Weber VJ, Haudenschild C, Gottsman SB, McGovern WA, Ryan TJ: Restenosis following transluminal angioplasty in experimental atherosclerosis. Arteriosclerosis 1984;4:189–195.
5.
Kakuta T, Currier JW, Haudenschild CC, Ryan TJ, Faxon DP: Differences in compensatory vessel enlargement, not intimal formation, account for restenosis after angioplasty in the hypercholesterolemic rabbit model. Circulation 1994;89:2809–2815.
6.
Lafont A, Guzman LA, Whitlow PL, Goormastic M, Cornhill JF, Chisolm GM: Restenosis after experimental angioplasty. Intimal, medial, and adventitial changes associated with constrictive remodeling. Circ Res 1995;76:996–1002.
7.
Wilensky RL, March KL, Gradus-Pizlo I, Sandusky G, Fineberg N, Hathaway DR: Vascular injury, repair, and restenosis after percutaneous transluminal angioplasty in the atherosclerotic rabbit. Circulation 1995;92:2995–3005.
8.
Liu MW, Lin S-J, Chen Y-L: Local alcohol delivery may reduce phenotype conversion of smooth muscle cells and neointimal formation in rabbit iliac arteries after balloon injury. Atherosclerosis 1996;127:221–227.
9.
Schwarzacher SP, Lim TT, Wang B, Kernoff RS, Niebauer J, Cooke JP, Yeung AC: Local intramural delivery of L-arginine enhances nitric oxide generation and inhibits lesion formation after balloon angioplasty. Circulation 1997;95:1863–1869.
10.
Kimura T, Miyauchi K, Yamagami S, Daida H, Yamaguchi H: Local delivery infusion pressure is a key determinant of vascular damage and intimal thickening. Jpn Circ J 1998;62:299–304.
11.
Roberts N, Cruz-Orive LM, Reid NMK, Brodie DA, Bourne DA, Edwards RHT: Unbiased estimation of human body composition by the Cavalieri method using magnetic resonance imaging. J Microsc 1993;171:239–253.
12.
Mayhew TM: 3D structure from thin sections: Applications of stereology. Eur Microsc Anal 2000;4:17–20.
13.
Gundersen HJG, Jensen EB: The efficiency of systematic sampling in stereology and its prediction. J Microsc 1987;147:229–263.
14.
Mayhew TM, Olsen DR: Magnetic resonance imaging (MRI) and model-free estimates of brain volume determined using the Cavalieri principle. J Anat 1991;178:133–144.
15.
Roberts N, Garden AS, Cruz-Orive LM, Whitehouse GH, Edwards RHT: Estimation of fetal volume by magnetic resonance imaging and stereology. Br J Radiol 1994;67:1067–1077.
16.
Roberts N, Cruz-Orive LM, Bourne M, Herfkens RJ, Karwoski RA, Whitehouse GH: Analysis of cardiac function by MRI and stereology. J Microsc 1997;187:31–42.
17.
Rosenfield K, Losordo DW, Ramaswamy K, Pastore JO, Langevin RE, Razvi S, Kosowsky BD, Isner JM: Three-dimensional reconstruction of human coronary and peripheral arteries from images recorded during two-dimensional intravascular ultrasound examination. Circulation 1991;84:1938–1956.
18.
Coy KM, Park JC, Fishbein MC, Laas T, Diamond GA, Adler L, Maurer G, Siegel RJ: In vitro validation of three-dimensional intravascular ultrasound for the evaluation of arterial injury after balloon angioplasty. J Am Coll Cardiol 1992;20:692–700.
19.
Gundersen HJG, Boysen M, Reith A: Comparison of semiautomatic digitizer-tablet and simple point counting performance in morphometry. Virchows Arch 1981;37:317–325.
20.
Mathieu O, Cruz-Orive LM, Hoppeler H, Weibel ER: Measuring error and sampling variation in stereology: Comparison of the efficiency of various methods for planar image analysis. J Microsc 1981;121:75–88.
21.
Cruz-Orive LM, Myking AO: Stereological estimation of volume ratios by systematic sections. J Microsc 1981;122:143–157.
22.
Michel RP, Cruz-Orive LM: Application of the Cavalieri principle and vertical sections method to lung: Estimation of volume and pleural surface area. J Microsc 1988;150:117–136.
23.
Gundersen HJG, Bendtsen TF, Korbo L, Marcussen N, Moller A, Nielsen K, Nyengaard JR, Pakkenberg B, Sorensen FB, Vesterby A, West MJ: Some new, simple and efficient stereological methods and their use in pathological research and diagnosis. APMIS 1988;96:379–394.
24.
Cruz-Orive LM: On the precision of systematic sampling: A review of Matheron’s transitive methods. J Microsc 1989;153:315–333.
25.
Pache JC, Roberts N, Vock P, Zimmermann A, Cruz-Orive LM: Vertical LM sectioning and parallel CT scanning designs for stereology: Application to human lung. J Microsc 1993;170 (pt 1):9–24.
26.
Gundersen HJG: Stereology of arbitrary particles. A review of unbiased number and size estimators and the presentation of some new ones, in memory of William R. Thompson. J Microsc 1986;143:3–45.
27.
Cruz-Orive LM: Precision of Cavalieri sections and slices with local errors. J Microsc 1999;193:182–198.
28.
Gundersen HJG, Jensen EBV, Kiêu K, Nielsen J: The efficiency of systematic sampling in stereology – reconsidered. J Microsc 1999;193:199–211.
29.
Bland JM, Altman DG: Statistical methods for assessing agreement between two methods of clinical measurement. Lancet 1986;i:307–310.
30.
Bosmans JM, Vrints CJ, Kockx MM, Bult H, Cromheeke KMC, Herman AG: Continuous perivascular L-arginine delivery increases total vessel area and reduces neointimal thickening after experimental balloon dilatation. Arterioscler Thromb Vasc Biol 1999;19:767–776.
31.
Kakuta T, Usui M, Coats WDJr, Currier JW, Numano F, Faxon DP: Arterial remodeling at the reference site after angioplasty in the atherosclerotic rabbit model. Arterioscler Thromb Vasc Biol 1998;18:47–51.
32.
Nafe R: Planimetry in pathology – a method in its own right besides stereology and automatic image analysis. Exp Pathol 1991;43:239–246.
33.
Braendgaard H, Gundersen HJG: The impact of recent stereological advances on quantitative studies of the nervous system. J Neurosci Methods 1986;18:39–78.
34.
Pakkenberg B, Boesen J, Albeck M, Gjerris F: Unbiased and efficient estimation of total ventricular volume of the brain obtained from CT-scans by a stereological method. Neuroradiology 1989;31:413–417.
35.
von Birgelen C, Di Mario C, Li W, Schuurbiers JCH, Slager CJ, de Feyter PJ, Roelandt JRTC, Serruys PW: Morphometric analysis in three-dimensional intracoronary ultrasound: An in vitro and in vivo study performed with a novel system for the contour detection of lumen and plaque. Am Heart J 1996;132:516–527.
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