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Ann Thorac Surg 2004;78:2063-2068
© 2004 The Society of Thoracic Surgeons


Original Article: Cardiovascular

Annular Geometry and Motion in Human Ischemic Mitral Regurgitation: Novel Assessment With Three-Dimensional Echocardiography and Computer Reconstruction

Rashid M. Ahmad, MDa, A. Marc Gillinov, MDa,*, Patrick M. McCarthy, MDa, Eugene H. Blackstone, MDa,c, Carolyn Apperson-Hansen, MSc, Jian Xin Qin, MDb, Deborah Agler, RCDSb, Takahiro Shiota, MDb, Delos M. Cosgrove, MDa

a Department of Thoracic and Cardiovascular Surgery
b Department of Cardiovascular Medicine
c Department of Biostatistics and Epidemiology, The Cleveland Clinic Foundation, Cleveland, Ohio, USA

Accepted for publication June 2, 2004.

* Address reprint requests to Dr Gillinov, Department of Thoracic and Cardiovascular Surgery, The Cleveland Clinic Foundation/F24, 9500 Euclid Ave, Cleveland, OH 44195 (E-mail: gillinom{at}ccf.org).


    Abstract
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 
BACKGROUND: Annular geometry and motion in functional ischemic mitral regurgitation are incompletely understood. Three-dimensional echocardiography demonstrates saddle-shaped annular geometry, but standard methodology does not enable quantification of annular motion. Therefore, a novel technique using three-dimensional echocardiography and computer software was used to characterize alterations in mitral annular geometry and motion in patients with ischemic mitral regurgitation.

METHODS: We developed a computer program to reconstruct the mitral annulus based on spatial coordinates from three-dimensional echocardiography. Data were obtained at end-diastole and end-systole in 7 patients with ischemic mitral regurgitation and 5 normal control subjects. Mitral annular motion was quantified by calculating the displacement area of the annulus between end-diastole and end-systole.

RESULTS: Comparison of ischemic mitral regurgitation and control patients revealed differences in annular geometry and motion at end-diastole. Annular perimeter was greater in ischemic mitral regurgitation patients (10.7 ± 0.7 cm versus 8.6 ± 0.2 cm in control group; p < 0.03), with increased intertrigonal distance in ischemic mitral regurgitation patients (2.8 ± 0.3 cm versus 2.1 ± 0.1 cm; p < 0.06). These changes resulted in increased annular orifice area in ischemic mitral regurgitation patients (9.1 ± 1.2 cm2 versus 5.7 ± 0.3 cm2; p < 0.03). Ischemic mitral regurgitation patients had altered annular motion, with reduced movement of the posterior annulus (5.4 ± 0.7 cm2 versus 8.7 ± 1.1 cm2; p < 0.03).

CONCLUSIONS: Computer analysis of data obtained from three-dimensional echocardiography demonstrates altered annular geometry and motion in patients with ischemic mitral regurgitation. Patients with ischemic mitral regurgitation have annular dilatation, with an increase in anterior and posterior annular perimeters; this is accompanied by an increase in the intertrigonal distance and restriction of annular motion.


    Introduction
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 
The mechanisms of functional ischemic mitral regurgitation (IMR) are complex and incompletely understood [1–4]. Recent data from experimental and pathologic studies suggest important changes in annular geometry in patients with IMR, including an increase in the intertrigonal distance [3–5]. However, these findings have not been confirmed in humans in vivo, in part because of limitations in imaging methodology and analysis.

Three-dimensional (3D) echocardiography represents an important advance in the study of mitral valve function [1, 2]. We developed a computer program that uses data from 3D echocardiography to quantify mitral annular geometry and motion. The software calculates mitral annular perimeter, computes the 3D orifice surface area enclosed by the annulus, generates an animation of the mitral annulus, and quantifies the motion of the annulus during the cardiac cycle. Coupled with 3D echocardiography, this computer program was used to quantify perturbations in mitral annular geometry and motion in patients with IMR.


    Patients and Methods
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 
Patients
The Institutional Review Board of The Cleveland Clinic Foundation approved this study, and informed consent was obtained from the subjects. Seven patients with functional IMR and 5 normal volunteers (control group) were enrolled prospectively from November 2000 to January 2002 (Table 1). In IMR patients, mitral regurgitation was caused by completed myocardial infarction without papillary muscle rupture or elongation and in the absence of organic mitral valve disease [6, 7]. Ischemic mitral regurgitation patients all suffered myocardial infarction in the distribution of a dominant right coronary artery, with corresponding wall motion abnormalities. All patients had both 3D and two-dimensional echocardiography.


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Table 1. Patients With Ischemic Mitral Regurgitation
 
Three-Dimensional Echocardiography and Computer Reconstruction
A 3D imaging system with a 2.5-MHz transducer was used to image the mitral apparatus (Volumetric Medical Imaging Inc, Durham, NC). At transthoracic echocardiography, the apical view was used to obtain images. Care was taken to include the mitral apparatus in its entirety for the volumetric data during a single cardiac cycle. The volumetric frame rate was 17 to 22 frames/s with an imaging depth of 12 to 16 cm. The images were digitally stored and transferred to a computer for analysis.

Measurements from 3D echocardiography were performed at end-diastole and end-systole. Eighteen points were identified along the mitral annulus by 3D echocardiography (Fig 1A). Manual identification of points required approximately 1 hour for each study. A fast-Fourier transform digital filter was used to generate a smooth reconstruction of the annulus (Fig 1B) [3]. The computer program was written using the LabView Software (National Instruments, Austin, TX). All measurements of lengths and areas were done using 3D coordinate information with vector geometry. Spatial coordinates obtained by 3D echocardiography were provided as inputs to the computer program for offline analysis. Details of the computer program are included in the Appendix.



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Fig 1. (A) Normal mitral annulus. Eighteen points obtained at three-dimensional echocardiography are marked. Positions of the anterior and posterior trigones are marked by circles, and the anterior and posterior annulus are noted. (B) Normal mitral annulus after computer-generated reconstruction. The lines are now smooth.

 
Annular Geometry
The trigones were identified by calculating the curvature along the reconstructed annulus. Peak curvature at the interface of the anterior and posterior annulus localized the trigones. This was confirmed by visual assessment of the mitral annulus after 3D reconstruction.

Geometric measurements in 3D space included anterior, posterior, and total annular perimeters; intertrigonal distance; and anterior, posterior, and total annular areas. Annular perimeter was defined as length from posterior trigone to posterior trigone. Anterior annular perimeter was defined as length from posterior to anterior trigone in continuity with the aortic valve (shorter segment). Posterior annular perimeter was defined as length from anterior to posterior trigone in the opposite direction (longer segment). Intertrigonal distance was defined as the straight-line distance from posterior to anterior trigone. Annular area was defined as the entire surface area bounded by the annulus, calculated using numerical integration (Fig 2). Anterior and posterior annular areas were defined as the areas of those portions of the annulus anterior and posterior to a line joining the trigones, respectively.



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Fig 2. Dashed lines represent annular area, which is calculated by computer using numerical integration. (A) Normal mitral annulus. (B) Ischemic mitral regurgitation mitral annulus.

 
Annular Motion
Annular motion during the cardiac cycle was quantified by measuring the area of displacement of the annulus from end-diastole to end-systole (Fig 3). Anterior annular motion was defined as area of displacement of the anterior annulus (that portion of the annulus anterior to a line joining the trigones), and posterior annular motion was defined as area of displacement of the posterior annulus (that portion of the annulus posterior to a line joining the trigones). Displacement area was calculated by numerical integration (Fig 4).



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Fig 3. The annulus is reconstructed at end-diastole (bold line) and end-systole (superimposed light line), demonstrating changes in annular geometry (shape) and motion (location). (A) Normal mitral annulus. (B) Ischemic mitral regurgitation mitral annulus.

 


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Fig 4. Annular motion is quantified by the area of displacement between the annulus at end-diastole and the annulus at end-systole. Normal mitral annulus shown at end-diastole (bold line) and end-systole (superimposed light line). Shaded area represents a portion of the area used to represent posterior annular motion between end-diastole and end-systole.

 
Statistical Analysis
Data analysis was performed using Student's t test for group comparisons. Unequal variances were assumed for calculation of the p values. Significance was defined as p less than 0.03 to account for the multiplicity of variables evaluated.


    Results
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 
Annular Geometry
Patients with IMR had increased end-diastolic annular perimeters and areas compared with the control group. At end-diastole, annular perimeter was 24% larger, and there were proportionately similar increases in perimeters of both anterior (22%) and posterior annuli (25%; Table 2). Intertrigonal distance was 7 mm larger in patients with IMR, representing a 33% increase compared with the control group. These increases in annular perimeter corresponded to increased annular orifice area in patients with IMR (Table 2). The increase in anterior annular area (60%) was similar to that in posterior annular area (60%). In contrast to end-diastolic measurements, differences in end-systolic measurements between patients with IMR and control subjects were less pronounced and could be caused by chance (Table 3).


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Table 2. Annular Geometry at End-Diastolea
 

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Table 3. Annular Geometry at End-Systolea
 
Annular Motion
Patients with IMR had decreased annular motion during the cardiac cycle. The reduction in posterior annular motion was greater than the reduction in anterior annular motion (Table 4).


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Table 4. Annular Motiona
 

    Comment
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 
Key Findings
Using novel computer software and data obtained from 3D echocardiography, we have quantified the altered annular geometry and motion in patients with IMR. Compared with normal control subjects, patients with IMR have larger end-diastolic annular perimeter and area and posterior annular motion is restricted; most notably, they have increased intertrigonal distance. Geometric perturbations during systole are less pronounced.

Annular Geometry
Annular dilatation has long been recognized as a pathologic change associated with mitral regurgitation [8]. Carpentier [8] established the idea that dilatation affects the "mural leaflet and the commissural areas" and does not affect "the attachment of the aortic leaflet." The classic notion that the anterior annulus does not dilate requires reassessment [3–5]. Our measurements, performed in humans in vivo, indicate that both anterior and posterior portions of the annulus dilate proportionately in patients with IMR, although the magnitude of dilation of the posterior annulus is greater. Similarly the intertrigonal distance is increased in IMR at end-diastole. This suggests that all segments of the mitral annulus dilate in IMR.

Recent pathologic and experimental studies support these findings. Studying cadaveric human hearts in diastole, Hueb and coworkers [5] observed a 17% increase in annular perimeter in patients with ischemic cardiomyopathy; there was an accompanying 33% increase in the intertrigonal distance and a 26% increase in annular area. These results are similar to ours, with differences likely a result of experimental design (ex vivo versus in vivo) and measurement methodology (measurement from digital photographs versus computer analysis of data from 3D echocardiography).

Two groups have reported related changes in annular geometry in sheep models of chronic IMR [3, 4]. Building on their prior extensive experience, researchers at the University of Pennsylvania studied sheep before and after creating IMR [3]. Using sonomicrometry array localization, they found that IMR was associated with a 28% increase in annular perimeter, with this change being distributed proportionately between the anterior and posterior annulus. They also noted a 69% increase in annular area, similar to our value of 60%.

Working with a similar model of ovine IMR, Tibayan and associates [4] demonstrated both lengthening of the fibrous (anterior) annulus (14% to 15%) and of the muscular (posterior) annulus (18% to 22%); these changes produced a 48% increase in annular area. Like the group from the University of Pennsylvania, these investigators also documented the continuous change of these and other variables during the cardiac cycle, noting important changes in 3D annular shape as well as annular dimensions.

The data presented here complement our previous report detailing geometric changes in the mitral annulus in patients with IMR [1]. In that study, which included more than twice as many patients, we demonstrated an increase in the distance between the commissures in patients with IMR. In the current study we used different software to track the trigones rather than the commissures, and we measured distances at end-systole rather than mid-systole. Thus, the results of these two studies are not strictly comparable, although they provide complementary information concerning different components of the mitral annulus at different times of the cardiac cycle. Advances in image acquisition and computer analysis are necessary to enable quantification of annular geometry and motion during the entire cardiac cycle.

Annular Motion
The mitral annulus is a nonplanar 3D structure that moves in space during the cardiac cycle [1–4]. Although not as precise as sonomicrometry crystals or surgically placed arrays of markers used for experimental studies, 3D echocardiography can be used to study this motion in humans [1, 2]. In patients with IMR, annular motion is restricted, with the greatest change in motion occurring along the posterior annulus. Clinically, this is in concordance with echocardiographic findings of restricted posterior leaflet movement in IMR.

Several groups have studied other aspects of annular motion in models of IMR. Gorman and colleagues [3] observed changes in the distance from the papillary muscles to the annulus during the cardiac cycle in their ovine model. Tibayan and colleagues [4] used radiopaque markers to demonstrate changes in the saddle horn height during the cardiac cycle in a similar ovine model. This information is complementary to our observations in humans and serves to demonstrate the complexity of the changes in mitral annular motion associated with IMR.

Limitations and Complexity of Ischemic Mitral Regurgitation
This human study examined only 7 patients with IMR. The limitations of 3D echocardiography and the software enabled us to examine indices of mitral annular geometry and motion at only selected times, end-diastole and end-systole. The data presented do not quantify annular geometry and motion during the entire cardiac cycle. However, rapid advances in technology and software may soon enable real-time quantification of mitral annular geometry and motion continuously during the cardiac cycle. The limited data that we gathered demonstrated that perturbations of mitral annular geometry and motion were most pronounced at end-diastole, whereas differences observed at end-systole may be related to chance. It is possible that ventricular and annular contraction reduce end-systolic differences in annular geometry and motion between patients with IMR and normal individuals. Examination of larger numbers of patients at more points during the cardiac cycle is required to assess the impact of systolic contraction on annular size and function.

The computer software was not designed to assess changes in the geometry or motion of the mitral leaflets, left ventricle, or subvalvular apparatus. Changes in the geometry and motion of these structures contribute to the development of IMR [1–4]. Because of the multiplicity of factors involved in the pathogenesis of IMR, it is necessary to use data from multiple studies to characterize this complex phenomenon. Better understanding of IMR is necessary to enable a more focused study of the impact of surgical repair on IMR.

Clinical Inferences
The anterior mitral annulus dilates in patients with IMR; therefore, its length should not be used to judge annuloplasty size. Surgical repair by annuloplasty effectively reduces the septal-lateral diameter of the mitral annulus [7]. Detailed clinical study of the impact of different annuloplasty techniques on other indices of mitral annular geometry and motion is warranted.


    Appendix The Computer Program
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 
The computer program relies extensively on 3D computations of lengths and areas. Shown below are mathematical and textual descriptions of the algorithms.

Distance Between Two Points A, B
A is given by the coordinates (Ax, Ay, Az)

B is given by the coordinates (Bx, By, Bz)

Distance = {surd}[(AxBx)2 + (AyBy)2 + (Az Bz)2].

Calculation of the Mitral Annular Perimeter
The reconstructed mitral annulus is composed of multiple points. The perimeter is defined by connecting adjacent points. If we start at point A0 at the anterior trigone and calculate the distance between adjacent points (segment lengths) and return to the starting location A0, then the sum of these segmental lengths is the perimeter of the annulus: thus, if A0, A1, A2, , An is the series of points defining the mitral annulus, and the distances between (A0, A1), (A1, A2), (A2, A3), , (An–1, An), are the segmental distances between adjacent points; the sum of these segments is the mitral annular perimeter.

If we are interested in calculating a partial length such as the anterior annulus, then the calculation of the distances is taken to that point. For example, if A0 defines the anterior trigone and Af defines the posterior trigone, then the sum of the distances in the series of points from A0 to Af will be the anterior annular perimeter.

Clearly, it is important to keep track of orientation on the annulus. If we travel in one direction from the anterior trigone, we will trace out the anterior annulus. From the same starting point on the anterior trigone, traveling in the opposite direction will trace out the posterior annulus.

Calculation of the Orifice Area in Three Dimensions
The mitral annulus is a 3D structure. To calculate the area of the surface bounded by the annulus, one can make the visual analogy of dipping a closed and bent wire frame into a soap solution. Figure 2A demonstrates this principle. The orifice area can be calculated by calculating the area of each four-sided polygon (quadrilateral). The sum of the areas of the quadrilaterals will be the orifice area.

Each quadrilateral can be broken down into two triangles. Therefore, the area of each quadrilateral is the sum of the two triangles. The area of the triangle can be calculated using Heron's formula:

Area of triangle = {surd}[s(sa)(sb)(sc)],

where a, b, and c are the lengths of the three sides of the triangle and s is the semiperimeter of the triangle defined by (a + b + c)/2.

Calculation of the Motion Area
The motion area allows quantification of the degree of movement of the annulus during the cardiac cycle.

Let A0, A1, A2, , An be the set of points that define the annulus at end-diastole.

Let B0, B1, B2, , Bn be the set of points that define the annulus at end systole.

Then the motion area of the segment (A0, A1) can be calculated by calculating the area of the quadrilateral defined by the points (A0, A1, B0, B1). It is important to select a starting point that defines a key landmark such as the anterior or posterior trigone. The sum of the areas defined by these quadrilaterals between end-diastole and end-systole generates the motion area.


    References
 Top
 Abstract
 Introduction
 Patients and Methods
 Results
 Comment
 Appendix The Computer Program
 References
 

  1. Kwan J, Shiota T, Agler DA, et al. Geometric differences of the mitral apparatus between ischemic and dilated cardiomyopathy with significant mitral regurgitationreal-time three-dimensional echocardiography study. Circulation 2003;107:1135-1140.[Abstract/Free Full Text]
  2. Liel-Cohn N, Guerrero JL, Otsuji Y, et al. Design of a new surgical approach for ventricular remodeling to relieve ischemic mitral regurgitationinsights from 3-dimensional echocardiography. Circulation 2000;101:2756-2763.[Abstract/Free Full Text]
  3. Gorman JH, Gorman RC, Jackson BM, et al. Annuloplasty ring selection for chronic ischemic mitral regurgitationlessons from the ovine model. Ann Thorac Surg 2003;76:1556-1563.[Abstract/Free Full Text]
  4. Tibayan FA, Rodriguez F, Langer F, et al. Annular remodeling in chronic ischemic mitral regurgitationring selection implications. Ann Thorac Surg 2003;76:1549-1555.[Abstract/Free Full Text]
  5. Hueb AC, Jatene FB, Moreira LFP, et al. Ventricular remodeling and mitral valve modifications in dilated cardiomyopathynew insights from anatomic study. J Thorac Cardiovas Surg 2002;124:1216-1224.[Abstract/Free Full Text]
  6. Gillinov AM, Wierup PN, Blackstone EH, et al. Is repair preferable to replacement for ischemic mitral regurgitation? J Thorac Cardiovasc Surg 2001;122:1125-1141.[Abstract/Free Full Text]
  7. Miller DC. Ischemic mitral regurgitation redux—to repair or to replace? J Thorac Cardiovasc Surg 2001;122:1059-1062.[Free Full Text]
  8. Carpentier A. Cardiac valve surgery—the "French Correction." J Thorac Cardiovasc Surg 1983;86:323-337.[Medline]

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