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J Thorac Cardiovasc Surg 2004;127:1852-1854
© 2004 The American Association for Thoracic Surgery


Letter to the editor

Reply to the Editor

Eugene H. Blackstone, MD, A. Marc Gillinov, MD, Delos M. Cosgrove, MD

Department of Thoracic and Cardiovascular Surgery, The Cleveland Clinic Foundation, Cleveland, OH 44195, USA

Reply to the Editor:

We have long respected the excellent and prolific work of Dumesnil and Pibarot, so it is not surprising that we referred to their publications in our articles. However, they are unhappy in part with the way we have interpreted (or misinterpreted) their work,1,2 and in part with the surgical recommendations we based on survival data from our multicenter meta-analysis,1 which differ from their own, which were based largely on functional prosthesis performance data.


    What we studied
 Top
 What we studied
 What we did not...
 Alternative proposal
 Two notes of caution
 Disclaimer
 References
 
Survival
We studied the relation of geometric prosthesis size to time-related survival with nine sources of data and nearly 70,000 patient-years of follow-up among 13,258 patients who underwent aortic valve replacement with mechanical prostheses, stent-mounted bioprostheses, and allografts at multiple institutions on two continents.1

Long-term survival is a relevant and important goal of aortic valve replacement,3 although how it is associated with efficiency of prosthetic devices remains controversial. Use of small label-size prostheses has been presumed by many surgeons to reduce survival after valve replacement. When patients were stratified by label size in our large study, however, prosthesis size was found to have little impact on survival (in contrast to substantial impact of patient factors, such as age). Unlike all previous studies, ours had the statistical power to detect even small differences in survival, with 1109 prostheses of label size 19 mm or smaller and 2984 of label size 21 mm.

To increase sensitivity, we focused our survival analysis on the geometric dimension of the internal orifice of the prosthesis normalized to patient size (prosthesis-patient size), a concept familiar in congenital heart disease but less so in adult heart disease.4 Stratifying patients by prosthesis-patient size revealed no impact on long-term or intermediate survival. However, in risk-adjusted and balancing score–adjusted analyses, when geometric orifice size was less than about the lower 95% confidence limit for normal human aortic valve size, which is uncommon in prudent aortic valve replacement (only 85 patients had prosthesis-patient size smaller than 0.85 cm2/m2), early survival was affected to a small extent (1% to 2%).

Adjusting prosthesis-patient size for prosthesis model
Physics of blood flow dictates that as prosthesis geometric orifice size decreases, energy loss at a given flow rate increases. However, inertia, turbulence, other disturbances of blood flow velocity profile, and many other factors also affect energy loss. Therefore, as described in the multi-institutional article,1 we searched for a relation of prosthesis-patient size to survival that was specific for each model of prosthesis by means of interaction terms. We found none of these to be statistically significant, indicating similarity of the relationship of geometric prosthesis-patient size to survival.

Surgical inferences
Surgical inferences drawn concerning prosthesis size selection were based on survival data within the context of prudent valve replacement in these numerous representative institutions. We had no functional prosthesis performance data after operation for these patients, which might have further increased sensitivity of the survival analysis, thereby further refining prognosis and possibly surgical recommendations.


    What we did not study
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 What we studied
 What we did not...
 Alternative proposal
 Two notes of caution
 Disclaimer
 References
 
Contrary to the letter, we did not study "postoperative outcomes" in general. We focused on one end point only: time-related mortality from any cause after aortic valve replacement. It is possible that either geometric or functional prosthesis-patient size might be more strongly related to other end points—such as sudden death, death in heart failure, or various measures of quality of life—that do not translate into a detectable survival difference.

We also studiously avoided the term prosthesis-patient mismatch. No doubt a clinical syndrome of prosthesis-patient mismatch occurs, as described by Rahimtoola5 and Rahimtoola and Murphy.6 However, through the years its definition has ceased being a clinical diagnosis and has become arbitrarily inferred from postoperative echocardiographic velocity measurements. We had no postoperative echocardiographic data in the assembled databases to address this issue, so we cannot discuss it further.


    Alternative proposal
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 What we studied
 What we did not...
 Alternative proposal
 Two notes of caution
 Disclaimer
 References
 
Functional projected orifice size
More interesting is the alternative proposed by Dumesnil and Pibarot: that rather than geometric orifice size, we should use functional projected orifice size.7 They claim that projected size is more highly correlated with pressure gradient across a prosthesis than is geometric size.8 Thus, logically, it should be more sensitive to differences in time-related survival. This might be the case.

Prerequisites
Before accepting this alternative, several things need to be in place and clarified. Just as we had available an equation relating patient size to normal aortic valve size derived from 6801 measurements,9 so we need an equation relating patient size to functional prosthesis size that is based on a substantial number of measurements. For this, high-quality individual patient postoperative Doppler velocity data for each label size of current aortic valve prostheses would need to be assembled, along with height and weight, and an appropriate analysis would need to be performed to obtain the equation. However, accurate (unbiased), precise (reproducible), and extensive (power) functional estimates of prosthesis size are elusive. They are related to many patient characteristics, left ventricular outflow complex factors, time, measurement variability, interobserver variability, method of computation, and myriad other factors. It is sobering that even in vitro laboratory estimates of hemodynamic properties of prostheses are fraught with important institutional variation (as much as 200% to 400%)!10 Thus, it is likely that the in vivo relation will have substantial scatter. Then an association should be sought between survival and functional prosthesis-patient size, with reference to the normalizations suggested in the articles.1,2


    Two notes of caution
 Top
 What we studied
 What we did not...
 Alternative proposal
 Two notes of caution
 Disclaimer
 References
 
Correlation between variables derived from the same data
One premise of the letter is that transprosthesis pressure gradients are more closely correlated with functional prosthesis size than with geometric prosthesis size (and implicitly that pressure gradient is related to survival).8 It is not appreciated in such comparisons that the same Doppler velocities are used to compute both pressure gradient and functional prosthesis size. This guarantees a close correlation between the two; they are not independent measurements! This obligatory correlation leads Dumesnil and Pibarot to state that "indexed internal geometric orifice area cannot be used to predict which patients will have high postoperative gradients." This is, in our opinion, stretching the statistics.

Avoiding 1000 deaths per year
The second note of caution is the notion that if a policy of liberal aortic root enlargement accompanying aortic valve replacement were adopted, then "each year in North America...approximately 1000 operative deaths could potentially be avoided." This too is a stretch of statistics. The extrapolation is based on Castro and colleagues' observation11 of a single death among 114 patients (70% confidence limits 0.1%-3.0% mortality) in the concurrent setting of 543 patients deemed not in need of aortic root enlargement; the latter sustained a mortality of 4.1% with 70% confidence limits of 3.2% to 5.1%.11 These confidence limits and the context caution against concluding that widespread application of the proposed algorithm is likely to lower operative mortality.

Small sets of data pose two dangers, identifying spurious relations in small subgroups and failing to identify relations because of lack of statistical power. These concerns motivated collaborators in the multi-institutional study to contribute more than 13,000 patients with 70,000 patient years of follow-up.


    Disclaimer
 Top
 What we studied
 What we did not...
 Alternative proposal
 Two notes of caution
 Disclaimer
 References
 
In responding to this letter, we must acknowledge that we reside within the institution with the highest volume of heart valve operations on the North American continent. The practice at The Cleveland Clinic Foundation has not been to avoid using small-sized prostheses in small aortic roots. Yet hospital mortality for 881 primary isolated aortic valve replacements in the last 5 years was 1.2%, and for 996 primary combined aortic valve replacements with coronary artery bypass grafting it was 2.0%. In some instances, left ventricular outflow tract myectomy is performed for obstruction at that level, but rarely is aortic root enlargement performed.

We remain interested in performance of prostheses, but we believe that available evidence suggests that other factors have more impact on long-term all-cause mortality than does prosthesis-patient size, however expressed.


    References
 Top
 What we studied
 What we did not...
 Alternative proposal
 Two notes of caution
 Disclaimer
 References
 

  1. Blackstone EH, Cosgrove DM, Jamieson WR, Birkmeyer NJ, Lemmer JH, Miller DC, et al. Prosthesis size and long-term survival after aortic valve replacement. J Thorac Cardiovasc Surg. 2003;126:783–796[Abstract/Free Full Text]
  2. Gillinov AM, Blackstone EH, Rodriguez LL. Prosthesis-patient size: measurement and clinical implications. J Thorac Cardiovasc Surg. 2003;126:313–316[Free Full Text]
  3. Rahimtoola SH. The next generation of prosthetic heart valves needs a proven track record of patient outcomes at >=15 to 20 years. J Am Coll Cardiol. 2003;42:1720–1721[Abstract/Free Full Text]
  4. Kouchoukos NT, Blackstone EH, Doty DB, Hanley FL, Karp RB. Cardiac surgery. 3rd ed. Philadelphia: Churchill Livingstone; 2003. p. 3-65
  5. Rahimtoola SH. The problem of valve prosthesis-patient mismatch. Circulation. 1978;58:20–24[Abstract/Free Full Text]
  6. Rahimtoola SH, Murphy E. Valve prosthesis-patient mismatch. A long-term sequela. Br Heart J. 1981;45:331–335[Abstract/Free Full Text]
  7. Blais C, Dumesnil JG, Baillot R, Simard S, Doyle D, Pibarot P. Impact of valve prosthesis-patient mismatch on short-term mortality after aortic valve replacement. Circulation. 2003;108:983–988[Abstract/Free Full Text]
  8. Pibarot P, Dumesnil JG, Cartier PC, Métras J, Lemieux M. Patient-prosthesis mismatch can be predicted at the time of operation. Ann Thorac Surg. 2001;71(Suppl 5):S265–S268[Abstract/Free Full Text]
  9. Capps SB, Elkins RC, Fronk DM. Body surface area as a predictor of aortic and pulmonary valve diameter. J Thorac Cardiovasc Surg. 2000;119:975–982[Abstract/Free Full Text]
  10. Marquez S, Hon RT, Yoganathan AP. Comparative hydrodynamic evaluation of bioprosthetic heart valves. J Heart Valve Dis. 2001;10:802–811[Medline]
  11. Castro LJ, Arcidi JM, Fisher AL, Gaudiani VA. Routine enlargement of the small aortic root: a preventive strategy to minimize mismatch. Ann Thorac Surg. 2002;74:31–36[Abstract/Free Full Text]

Related Article

Prosthesis size and prosthesis-patient size are unrelated to prosthesis-patient mismatch
Jean G. Dumesnil and Philippe Pibarot
J. Thorac. Cardiovasc. Surg. 2004 127: 1852. [Extract] [Full Text] [PDF]



This article has been cited by other articles:


Home page
CirculationHome page
P. Pibarot, J. G. Dumesnil, G. Tasca, C. G. Koch, F. Khandwala, F. G. Estafanous, F. D. Loop, and E. H. Blackstone
Letter Regarding Article by Koch et al, "Impact of Prothesis-Patient Size on Functional Recovery After Aortic Valve Replacement" * Response
Circulation, November 22, 2005; 112(21): e333 - e333.
[Full Text] [PDF]


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