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Ann Thorac Surg 1999;67:1968-1970
© 1999 The Society of Thoracic Surgeons

Prediction of thoracic aortic aneurysm expansion: validation of formulae describing growth

Ichiro Shimada, MDa, Stephen J. Rooney, FRCSa, Domenico Pagano, FRCSa, Pier Andrea Farneti, MDa, Paul Davies, PhDc, Peter J. Guest, FRCRb, Robert S. Bonser, FRCSa

a Cardiothoracic Surgical Unit, Queen Elizabeth Hospital, Birmingham, United Kingdom
b Department of Radiology, Queen Elizabeth Hospital, Birmingham, United Kingdom
c School of Mathematics and Statistics, University of Birmingham, Birmingham, United Kingdom

Address reprint requests to Mr Bonser, Cardiothoracic Surgical Unit, Queen Elizabeth Hospital, Edgbaston, Birmingham B15 2TH, UK;
e-mail: address:r.s.bonser{at}bham.ac.uk

Presented at the Aortic Surgery Symposium VI, April 30–May 1, 1998, New York, NY.


    Abstract
 Top
 Abstract
 Introduction
 Material and methods
 Results
 Comments
 References
 
Background. The expansion rate of thoracic aortic aneurysms may be an important and clinically relevant index of the risk of rupture. The aims of this study were to assess the validity of three published exponential equations that predict expansion rate in a separate sample population, and to calculate an expansion rate formula for this cohort of patients.

Methods. We studied 88 consecutive patients undergoing serial computed tomographic or magnetic resonance imaging scanning to monitor thoracic aortic aneurysm progression. In interval scans of at least 6 months, we measured minimum coronal aortic diameter at seven set levels and maximal diameter, yielding 780 segment-intervals.

Results. The linear expansion rate (mean 2.6 mm/year) increased with incremental aortic diameter (aortic diameter <40 mm: 2.0; 40–49 mm: 2.3; 50–59 mm: 3.6; >=60 mm: 5.6 mm/year; p < 0.01). Regression analysis showed close correlation between predicted and sample data, but there were significant differences between observed and expected measurements. The Yale formula underestimated growth by 0.8 mm, while Mt. Sinai and Osaka formulae overestimated actual change by 1.5 and 0.2 mm, respectively. The expansion rate derived from our population was: last diameter = initial diameter x e(0.00367 x time) (r = 0.617).

Conclusions. Although formulae derived from one thoracic aortic aneurysm sample population may not extrapolate exactly to others, there is close concordance of results for patient populations in three different continents.


    Introduction
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 Abstract
 Introduction
 Material and methods
 Results
 Comments
 References
 
Aortic rupture is the most common cause of death in patients with untreated chronic thoracic aortic aneurysms (TAAs) [13]. Although reconstructive surgery appears to improve survival, operation subjects the patient to a risk of significant mortality and morbidity [4, 5]. An ability to predict the risk of rupture would improve the accuracy of risk-benefit analysis when elective replacement of asymptomatic aneurysms is being considered. A positive relationship between larger aneurysm size, higher expansion rate (ER), rupture risk, and reduced survival has been demonstrated for abdominal aortic aneurysms [6, 7]; the ER of TAAs may also reflect the risk of rupture or dissection [8, 9]. Early studies of TAA growth described a linear ER [10], but more recently exponential formulae have been derived, in which ER is related to initial aneurysm diameter in concordance with natural history studies of abdominal aortic aneurysms [1113].

The aim of this study was to validate expansion rate equations in our local population of TAA patients, examining growth in both the maximally dilated area and in predetermined aortic segments, and to calculate an ER formula that describes this sample population.


    Material and methods
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 Abstract
 Introduction
 Material and methods
 Results
 Comments
 References
 
A retrospective review was undertaken of serial imaging studies of consecutive patients undergoing follow-up surveillance of aneurysmal or chronically dissected segments of the thoracic aorta at our institution from January 1991 to February 1998. All patients with interval serial computed tomographic (CT) or magnetic resonance imaging (MRI) scans of an aneurysmal thoracic aorta performed at the clinic or referral center were included. The arbitrary minimum interval between scans for study inclusion was 6 months. Aortic outer diameter (AD) was measured using a caliper method, calculating diameter from the reference within the image. In elliptical cross-sections, the minor diameter of the ellipse was measured, regardless of orientation, to avoid a convolution effect. A segment was defined as aneurysmal if the minor AD was >=35 mm. All examinations were retrospectively analyzed by one observer. AD was measured in the area of maximal dilatation and at seven predetermined segment levels. To assess growth, measurements were undertaken in matched segments between initial and subsequent scans. Segment matching on separate scans was undertaken by identification of anatomical landmarks. If matching was not possible, that segment-interval was withdrawn. If patients had more than three consecutive scans, each adjacent combination of two consecutive scans was used as an independent comparison.

Statistical analysis
In a pilot study, analysis of repeated measurements of the minimum AD showed an intraobserver correlation coefficient of -0.999 and a coefficient of repeatability of 2.25. From the measurements obtained, a linear expansion rate (ER) was calculated: ER = (last diameter - initial diameter) [mm]/interval [yr]. For each size range, data are expressed for convenience as mean ± standard error, although data were skewed in each range towards higher ERs. Therefore, to analyze the effect of size, a Kruskal-Wallis test was used with p < 0.05 indicating significance. The published equations were applied to the sample data, and observed diameter and predicted diameter were compared using regression analysis, Wilcoxon’s signed rank test, and scattergram plots. Using the method of Hirose and colleagues we derived a further equation that best described the data of this sample population [13].


    Results
 Top
 Abstract
 Introduction
 Material and methods
 Results
 Comments
 References
 
From a population of 153 clinic patients, serial scans containing segments whose initial ADs were >=35 mm or that were dissected were available for 88 TAA patients (52 men, 36 women) yielding 780 segment-intervals. There were 52 patients with nondissecting aneurysms, 30 patients with chronically dissected segments alone, and 6 patients with mixed pathology. ER increased exponentially with incremental initial diameter (p < 0.001; Fig 1). The ER for segments with an initial diameter >=60 mm was 5.6 ± 0.81 mm/year, and for segments initially < 50 mm, ER was 2.1 ± 0.18 mm/year.



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Fig 1. Histogram of expansion rates according to initial segment diameter (mean ± standard error, p < 0.001, Kruskal Wallis). n = number of segments.

 
Validity of published equations
Figure 2 shows scattergram plot showing the actual final size and the predicted figures using the equations described by the Mt. Sinai, Yale, and Osaka groups. Regression analysis showed apparent agreement and close correlation with the sample data (Mt. Sinai, r = 0.955; Yale, r = 0.949; and Osaka, r = 0.957) but there were significant differences (p < 0.0001) between the actual final ADs and the predicted values. In this sample population, the Yale equation underestimated mean observed changes by 0.8 mm/year, while Mt. Sinai and Osaka equations both overestimated final diameter by 1.5 and 0.2 mm, respectively. Using exponential regression, a formula relating diameter change to initial size and time interval was derived (r = 0.617, p < 0.0001):



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Fig 2. Chart displaying scattergram plot of actual observed expansion rates and derived predicted expansion according to published formulae. The formulae predicting expansion rate are included within the figure. The Yale curve uses their formula to predict expansion but does not include the additive component for dissection.

 

    Comments
 Top
 Abstract
 Introduction
 Material and methods
 Results
 Comments
 References
 
Unlike abdominal aortic aneurysms, in which ultrasound screening can be used to document the natural history of asymptomatic aneurysms, for thoracic aortic aneurysms, there is no inexpensive widely available screening investigation. Data concerning growth rate in TAA populations using CT or MRI are therefore inevitably biased towards referral-based populations in which some presenting symptom (which may or may not be attributable to the aneurysm) prompted investigation and aneurysm detection.

This study, in agreement with others, demonstrates that TAAs enlarge exponentially [1113]. The ER of the maximally aneurysmal segment (2.6 ± 0.27 mm/year) is in broad agreement with other studies: Masuda and colleagues [14] reported an ER of 1.3 mm/year, Coady and colleagues 1.2 mm/year [12], Cambria and colleagues 2.0 mm/year [15], Hirose and colleagues 4.2 mm/year [10], and Dapunt and colleagues 4.3 mm/year [11]. Any differences between series would appear to be related to differing initial size composition of the aneurysm population studied. The ER for aneurysms of initial diameter >= 60 mm (5.6 ± 0.81 mm/year) was also similar [11] to previously published results.

In our attempts to predict ER in this sample population using formulae derived from other sample population data, we found that aneurysms in these geographically and ethnically different populations behaved similarly in exhibiting an exponential pattern of growth, but also that such formulae may under- or over-estimate mean growth. The marked scatter of actual ERs and low r value (0.617) seen in this study clearly indicate that although aneurysm behavior can be described in the population, the ER of any individual aneurysm remains unpredictable.

When comparing the ER of one TAA population against another, several factors need to be considered. The referral-based nature of any series introduces several areas of potential bias. Although specialist centers may be referred relatively higher risk patients, the aggressiveness of surgical approach within an institution will clearly affect which patients are included in follow-up surveillance studies, and will therefore determine the character of the follow-up population. The time interval between serial images will also affect the ER of the population studied: the longer the interval, the more patients are removed from the study because of death, rupture, or operation. In contrast, the shorter the interval, the greater the effect of measurement error on ER.

Despite small differences, the ERs of aneurysmal segments in this study showed remarkable concordance with those predicted by formulae derived from other centers despite ethnic disparities. Within our sample population, however, there were several instances of zero expansion rate, making it impossible to derive an equation comparable to the Mt. Sinai format, which mathematically requires a positive growth rate [11].

The possibility of errors in measurements is an important concern in all such studies. To minimize this possibility, a standardized measurement technique was validated and carried out by a single observer. However, scans from diverse referral sources were compared with scans from within the institution, and no protocol existed to determine the number of cross-sectional levels for any particular scan. Moreover, the accuracy of the measurement tool within each scan was not determined, and segment matching was dependent upon identification of other anatomical structures. Another limitation of this and other referral-based studies is that it is not known whether the findings can be extrapolated to clinically silent aneurysms.

Only one of the aneurysms in this study ruptured (just before a scheduled admission for surgery), and knowledge of expansion rates alone are insufficient data on which to base intervention decisions. Initial AD is an important factor determining rupture risk, however, and when a large initial AD is accompanied by other factors such as advanced age, pain, and the presence of chronic obstructive pulmonary disease, the risk of rupture is significant [16].

In conclusion, this study confirms a similar pattern of TAA expansion in different sample populations. Further studies are required to establish which clinical factors may affect the natural history of thoracic aortic aneurysms.


    References
 Top
 Abstract
 Introduction
 Material and methods
 Results
 Comments
 References
 

  1. Pressler V., McNamara J. Thoracic aortic aneurysm: natural history and treatment. J Thorac Cardiovasc Surg 1980;79:489-498.[Medline]
  2. Bickerstaff L., Pairolero P., Hollier L., et al. Thoracic aortic aneurysms: a population based study. Surgery 1982;92:1103-1108.[Medline]
  3. Perko M., Norgaard M., Herzog T., et al. Unoperated aortic aneurysms a survey of 170 patients. Ann Thorac Surg 1995;59:1204-1209.[Abstract/Free Full Text]
  4. Pressler V., McNamara J. Aneurysm of the thoracic aorta: review of 260 cases. J Thorac Cardiovasc Surg 1985;89:50-54.[Abstract]
  5. Kouchoukos N., Dougenis D. Surgery of the thoracic aorta. N Engl J Med 1997;336:1876-1888.[Free Full Text]
  6. Szilagyi D., Smith R., DeRusso F., et al. Contribution of abdominal aneurysmectomy to prolongation of life. Ann Surg 1966;164:678-699.[Medline]
  7. Cronenwett J., Murphy T., Zelenock G., et al. Actuarial analysis of variables associated with the rupture of small abdominal aortic aneurysms. Surgery 1985;98:472-483.[Medline]
  8. Pitt M., Bonser R. Natural history of thoracic aortic aneurysms: an overview. J Card Surg 1997;12:270-278.[Medline]
  9. Galla J., Ergin M., Lansman S., et al. Identification of risk factors in patients undergoing thoraco-abdominal aneurysm repair. J Cardiovasc Surg 1997:292-299.
  10. Hirose Y., Hamada S., Takamiya M., et al. Aortic aneurysms: growth rates measured with CT. Radiology 1992;185:249-252.[Abstract/Free Full Text]
  11. Dapunt O.E., Galla J.D., Sadeghi A.M., et al. The natural history of thoracic aortic aneurysms. J Thorac Cardiovasc Surg 1994;107:1323-1333.[Abstract/Free Full Text]
  12. Coady M.A., Rizzo J.A., Hammond G.L., et al. What is the appropriate size criterion for resection of thoracic aortic aneurysms?. J Thorac Cardiovasc Surg 1997;113:476-491.[Abstract/Free Full Text]
  13. Hirose Y., Hamada S., Takamiya M. Predicting the growth of aortic aneurysms: a comparison of linear vs. exponential models. Angiology 1995;46:413-419.
  14. Masuda Y., Takanashi K., Takasu J., et al. Expansion rate of thoracic aortic aneurysms and influencing factors. Chest 1992;102:461-466.[Abstract/Free Full Text]
  15. Cambria R.A., Gloviczki P., Stanson A.W., et al. Outcome and expansion rate of 57 thoraco-abdominal aortic aneurysms managed non-operatively. Am J Surg 1995;170:213-217.[Medline]
  16. Juvonen T., Ergin M.A., Galla J.D., et al. Prospective study of the natural history of thoracic aortic aneurysms. Ann Thorac Surg 1997;63:1533-1545.[Abstract/Free Full Text]



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This Article
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