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Measurements, indexed separately by BSA and by height, included the aortic annulus, sinuses of Valsalva, and sinotubular junction. Berthelot-Richer M, Pibarot P, Capoulade R, Dumesnil JG, Dahou A, Thebault C, Le Ven F, Clavel MA. However, especially among obese individuals, weight probably does not play as important a role as does height in indexing various measures to body size. Aortic diameters and long-term complications among 780 patients with TAAA were analyzed. Diagnosis and Surveillance of Aortic Root Dilation | IntechOpen Design. aortic root size indexed to bsa calculator Aortic Root Z-Scores for Adults. Because the correlation coefficients between aortic diameters, height, and weight raised to the specific allometric exponent were similar to those of aortic diameters versus baseline height and weight, no exponential values were included in the multivariate models. However, especially among obese individuals, weight probably does not play as important a role as does height in indexing various measures to body size. Calculation of percentiles utilizes the published averages and standard deviations for the binned age and BSA groups and assumes a normal distribution of size diameters within each interval. Normal TEE Cardiac Dimensions Normal Adult Thoracic Aortic Diameters Sex Differences in Aortic Root Dimensions in Adults From: 2010 ACCF/AHA/AATS/ACR/ASA/SCA/SCAI/SIR/STS/SVM Guidelines for the Diagnosis and Management of Patients With Thoracic Aortic Disease: Executive Summary DuBois D, DuBois EF. Richard B Devereux, Richard Cooper, Alan Weder, Todd B Seto, Craig Hanis, Thomas H Mosley, Jr, D C Rao, Donna K Arnett. doi: 10.1016/j.echo.2019.08.012. FOIA . Specific measurements were made by the average of 5 cardiac cycles. Copyright 2015 - 2016 Radiology Universe Institute, a public benefit corporation. 1 It is caused by complete or partial loss of a second sex chromosome, with or without cell line mosaicism. cited by this calculator preceded the publication of the 2010 ASE Guidelines. For patients > 15 years of age and adults: utilizing diastole and leading edge-to-leading edge measurement of the sinuses of valsalva. Background: The primary aim of this study was to investigate if ASI is a predictor of development AAA, and to compare the predictive impact of ASI to that of the absolute AD. All ct short axis measurements of the aortic root had excellent. Bethesda, MD 20894, Web Policies Don't worry, my wisdom won't change. Federal government websites often end in .gov or .mil. The LV ejection fraction was calculated by the Simpson equation in the apical 4- and 2-chamber views. How Borderline LV | dev.parameterz.com 18 In patients who have no other conditions, the guidelines recommend surgery when the aortic root, ascending aorta, or aortic arch reaches 5.5 cm and when the descending aorta reaches 6.0 cm ( 5.5 cm with endovascular stenting). Height alone, rather than body surface area, suffices for risk Any change in the value will pose trouble for any individual because the contraction and expansion make it difficult for the blood to flow smoothly through the aorta. Size-Adjusted Left Ventricular Outflow Tract Diameter Reference Values An aneurysm is a weak spot in a blood vessel wall. Privacy policy British Society of Echocardiography Mean Platelet Volume to Platelet Count Ratio Predicts Left Atrial J Am Soc Echocardiogr. calculator - aorticcalculator (Also see this page for reference values for adults.). sharing sensitive information, make sure youre on a federal All of the references Full article: Is the aortic size index relevant as a predictor of Echocardiography in aortic diseases: EAE - Oxford Academic Reproducibility of aortic measurements was determined in 50 subjects randomly selected. Published by at june 13, 2022. The Gorlin equation. An official website of the United States government. Hypertension has also been frequently reported to increase the diameters of large arteries . Physical examination (height, weight, heart rate, and blood pressure [BP]) and clinical assessment were conducted according to standardized protocols by trained and certified staff members. Compared with indices that include weight, a simpler height-based ratio (avoiding weight assessment and BSA calculation) yields satisfactory results for evaluating the risk of complications among patients with TAAA. Figure 1 An example of aortic diameter measurements at five levels. Multiple Diameters Calculation - E-Echocardiography Home Page All measurements were obtained in a zoomed parasternal long-axis view. The aim of this study was to explore the full spectrum of AR diameters by 2-dimensional transthoracic color Doppler echocardiography (TTE) in a large cohort of healthy adults. An online calculator for the borderline left ventricle: consolidated reporting of the Rhodes score, Discriminant score, and the CHSS scores. Web at an aortic root size in the small normal range of 2.0 to 2.4 cm, the prevalence of aortic regurgitation was 0% to 15%. Similarities and Differences in Left Ventricular Size and Function among Races and Nationalities: Results of the World Alliance Societies of Echocardiography Normal Values Study. Both non-indexed and indexed aortic root diameters increased significantly with increasing age in males and females (Supplement Table 5). 2022 Aug 26. doi: 10.1007/s00392-022-02086-z. The aortic annulus was measured at mid-systole using the inner edge to inner edge method. Differences in Echocardiographic Measures of Aortic Dimensions by Race. Exponents b and c (respectively for weight and height) were found to be significantly different than unity for all 4 AR diameters and gender exponent ( Table5 ). Join us in the fight for victory over genetic aortic and vascular conditions. Clinical Topics: Cardiac Surgery, Invasive Cardiovascular Angiography and Intervention, Noninvasive Imaging, Prevention, Vascular Medicine, Aortic Surgery, Cardiac Surgery and Arrhythmias, Interventions and Imaging, Interventions and Vascular Medicine, Keywords: Aneurysm, Dissecting, Aortic Aneurysm, Thoracic, Aortic Rupture, Body Size, Body Surface Area, Body Weight, Cardiac Surgical Procedures, Diagnostic Imaging, Dissection, Risk, Secondary Prevention, Vascular Diseases. THE AMERICAN SOCIETY OF ECHOCARDIOGRAPHY RECOMMENDATIONS FOR CARDIAC CHAMBER QUANTIFICATION IN ADULTS: A QUICK REFERENCE GUIDE FROM THE ASE WORKFLOW AND LAB MANAGEMENT TASK FORCE Accurate and reproducible assessment of cardiac chamber size and function is essential for clinical care. Minners J, Gohlke-Baerwolf C, Kaufmann BA, Bahlmann E, Gerdts E, Boman K, Chambers JB, Nienaber CA, Willenheimer R, Wachtell K, Holme I, Pedersen TR, Neumann FJ, Jander N. Heart. National Library of Medicine Adult heterozygous mice carrying the Actn2 p.Met228Thr variant were phenotyped by echocardiography. Before Accessibility Both ASI and AHI were shown to be significant predictors of complications (p < 0.05). Left ventricular (LV) mass was calculated by the Penn convention and indexed for BSA. There was a straight correlation between aortic diameters (absolute and indexed values), their ratios, and age in both genders (p= 0.0001). Cookie policy. Aortic Valve Annulus (mm): Sinus of Valsalva (mm): Sino-Tubular Junction (mm): Ascending Aorta (mm): Note: the study population had the following characteristics: age range: (0 - 17) bsa range: (0.12 - 2.12) Data entered for patients outside of these limits should be used with caution. Data are presented as the mean SD, median, and twenty-fifth and seventy-fifth percentiles. 1. 2020 Jan 21;9(2):e014609. Last, differences in aortic dimensions were also observed according to race: Asians had the smallest nonindexed aortic dimensions at all levels. Demographics and clinical characteristics, LV dimensions, and aortic diameters, both absolute and relative to BSA, are presented as mean SD and were tested by unpaired t test to evaluate differences between genders. Normal limits in relation to age, body size and gender of two-dimensional echocardiographic aortic root dimensions in persons 15 years of age. Last, differences in aortic dimensions were also observed according to race: Asians had the smallest nonindexed aortic dimensions at all levels. Sex differences in aortic root dimensions in adults : Absolute values (cm) indexed values (cm/m2) aortic root: Source: www.researchgate.net. Based on these results, an aortic diameter-to-patient height ratio of 2.43 cm/m indicates lower risk, 2.44-3.17 cm/m indicates moderate risk warranting close radiographic follow-up, 3.21-4.06 cm/m indicates high risk, and 4.1 cm/m represents severe risk. The rationale for all suggested changes to practice are discussed in the guideline document. The effect of BSA on aortic diameter Both cardiac output and total blood volume are elevated with increased BSA, and studies have shown that these circulatory changes result in left and right ventricular hypertrophy and cavity dilatation [ 3, 27 ]. Clipboard, Search History, and several other advanced features are temporarily unavailable. What is the Normal Size of the Aortic Root? Normal Values of Aortic Root Size According to Age, Sex, and Race Height vs. BSA for Normalization of Ascending Aorta Diameter Thoracic aortic aneurysm: Optimal surveillance and treatment Normal Values of Aortic Root Dimensions in Healthy Adults to get Maximum SOV Diameter. The sinuses of Valsalva and sinotubular junction were measured at end-diastole using leading edge to leading edge technique. BSA: m 2; LV Long Axis Z-Score: Aortic Root Z-Score: Score: The result gives the predicted difference in percent survival for Norwood minus . Ring L, Shah BN, Bhattacharyya S, Harkness A, Belham M, Oxborough D, Pearce K, Rana BS, Augustine DX, Robinson S, Tribouilloy C. Echo Res Pract. Specific views included the parasternal long- and short-axis views; apical 4-, 2-, and 3-chamber views; and subcostal views including respiratory motion of the inferior vena cava. Calculator How to get Maximum SOV Diameter. It is recommended that the changes suggested within the guideline should be discussed with sonographers, cardiologists and general clinicians when integrating the new reference intervals into everyday practice to ensure a smooth transition in the care of patients. Bethesda, MD 20894, Web Policies Tribouilloy C, Bohbot Y, Marchaux S, Debry N, Delpierre Q, Peltier M, Diouf M, Slama M, Messika-Zeitoun D, Rusinaru D. Circ Cardiovasc Imaging. BMI or BSA formulas can be used for body size, BSA was chosen as the adjusting body size variable for all subsequent analyses. BP= blood pressure; BSA= body surface area; LV= left ventricle. 2. "Getting beyond diameter": when to replace the aorta? Results. Prevalence and progression of aortic root dilatation in highly - Heart 1,2 This is based on a sharp rise in the risk of . Background: From June 2007 to December 2013, a total of 1,043 Caucasian healthy volunteers (mean age 44.7 15.9years, range 16 to 92 years, 503 men [48%]) underwent comprehensive TTE. It has several subparts 1: three aortic valve leaflets and leaflet attachments. Epub 2021 Jul 29. Annulo-aortic ectasia can be an isolated condition or can occur as part of a generalised connective tissue disorder, e.g. 2019 Nov;32(11):1396-1406.e2. Allometric equations were used to determine the relations of aortic diameters with weight and height. Aortic Root Z-Scores for Children - The Marfan Foundation Epub 2014 Apr 29. The Society no longer advocates division into mild or moderate LV impairment, Measured using the Biplane Simpsons method and indexed to BSA, A new borderline LA volume range of 34-38ml/m. Would you like email updates of new search results? Normal limits in relation to age, body size and gender of two-dimensional echocardiographic aortic root dimensions in persons 15 years of age. XLSX Yale School of Medicine < Yale School of Medicine Eur Cardiol. Circulation2009;120 (suppl 2):s540. We previously introduced the aortic size index (asi), defined as aortic size/body surface area (bsa), as a predictor of aortic dissection, rupture, and death. Step 3: The BSA and Maximum SOV Diameter (Aortic Root Diameter) is Calculated. Annulo-aortic ectasia is a combination of: 1) ascending aortic aneurysm 2) dilatation of the sinuses of Valsalva and 3) dilatation of the aortic annulus. Last updated: 30 Mar 2013|Home|About|Contact|Disclaimer|Top, measurements are made in systole, at the moment of maximum expansion, measurements are made from "inside edge-to-inside" edge, i.e., the intraluminal dimension, the aortic valve is measured from the hinge points (inner edges), vascular measurements are made perpendicular to the long axis of the vessel, vascular measurements are made at end-diastole, measurements are made from "leading edge-to-leading edge". Cut-off values for severe stenosis are <1.0 cm2 for AVA and <0.6 cm2/m2 for AVAindex. 2022 Dec 19;17:e26. The following model wasfitted: log(diameter)= log a+ b log(weight)+ c log(height)+ d sex (coded 1 for men and 2 for women) or, in its exponential form: diameter= a weight b height c sex d . This was done by applying a black flood-fill to the background of the graph image, and software implementation of Hough Transform, with the expectation of finding filled circles. Growth rate estimates, yearly complication rates, and survival were assessed. Cassottana P, Badano L, Piazza R, Copello F. Wenzel JP, Petersen E, Nikorowitsch J, Senftinger J, Sinning C, Theissen M, Petersen J, Reichenspurner H, Girdauskas E. Int J Cardiovasc Imaging. Copyright 2000-2023 JLS Interactive, LLC. International guidelines use uncorrected aortic diameter to estimate the risks of aortic dissection, rupture, or death among patients with TAAA. 2022 Mar;35(3):275-277. doi: 10.1016/j.echo.2021.12.001. 2012 Oct 15;110(8):1189-94. Raw data was not published; the normality of the sizes within the raw data therefore could not be verified. The partial correlation test by the Pearson method was used to assess clinically relevant variables with p <0.05, which were then incorporated into the multivariate model. the calculated cross-sectional aortic area. 164-180 Union Street Transthoracic echocardiographic reference values of the aortic root: results from the Hamburg City Health Study. Pathogenic variants in ACTN2, coding for alpha-actinin 2, are known to be rare causes of Hypertrophic Cardiomyopathy. An unpaired t test was performed to evaluate differences between genders. Two-dimensional measurements of the AR were made at end-diastole in parasternal long-axis views at 4 levels: (1) annulus (defined echocardiographically as the hinge points of the aortic cusps), (2) sinuses of Valsalva, (3) sinotubular junction, and (4) proximal ascending aorta. All studies were reviewed and analyzed off-line by 2 independent observers. Aortic diameters were independently associated with age, gender (model A), and BSA (model B); weight and height did not have any additional significant impact on aortic dimension (model C; Table6 ). Two-dimensional measurements of the AR were made at end-diastole in parasternal long-axis views at 4 levels: (1) annulus (defined echocardiographically as the hinge points of the aortic cusps), (2) sinuses of Valsalva, (3) sinotubular junction, and (4) proximal ascending aorta. Aortic root dimensions indexed by annulus. LV diastolic measurements included E and A peak velocities (m/s) and their ratio as well as E-wave deceleration time (ms). Residuals of observed aortic diameters versus those predicted by multivariate models were calculated, and their relations to age, gender, body size (weight, height, or BSA) were assessed. Soulat-Dufour L, Addetia K, Miyoshi T, Citro R, Daimon M, Fajardo PG, Kasliwal RR, Kirkpatrick JN, Monaghan MJ, Muraru D, Ogunyankin KO, Park SW, Ronderos RE, Sadeghpour A, Scalia GM, Takeuchi M, Tsang W, Tucay ES, Tude Rodrigues AC, Vivekanandan A, Zhang Y, Diehl M, Schreckenberg M, Mor-Avi V, Asch FM, Lang RM; WASE Investigators. An official website of the United States government. BSA was calculated according to the DuBois formula [0.20247 height (m) 0.725 weight (kg) 0.425]. Nomograms of aortic dimensions at the SoV level according to different calculated BSA, for three age groups. Aortic Size Assessment by Noncontrast Cardiac Computed Tomography: Normal Limits by Age, Gender, and Body Surface Area. There was a linear correlation between the aortic diameters (absolute and indexed values) and their ratios with age in both genders, except for the aortic annulus (p= 0.0001; Figures1 and 2 ). Therefore, 2-D measurements have now replaced the MMode. Unauthorized use of these marks is strictly prohibited. HHS Vulnerability Disclosure, Help No significant gender differences were registered for sinuses of Valsalva and sinotubular junction to annulus diameter ratios (p= 0.9), whereas ascending aorta to annulus diameter ratio was higher in women (p= 0.0001). Sign up to get the latest news and updates from The Marfan Foundation. Am J Cardiol. Two-tailed p value <0.05 was considered statistically significant. Measurements should be performed in apical views (four- and two-chamber view) during end-systole. Nomograms of aortic dimensions at the SoV level according to different heights for three age groups. However, weight might not contribute substantially to aortic size and growth. Stroke volume index = Stroke volume in mL / Body surface area in m 2. In this study, the authors found that a simpler measure of aortic diameter indexed to height had similar predictive power compared to aortic diameter indexed to BSA. In international guidelines, risk estimation for thoracic ascending aortic aneurysm (TAAA) is based on aortic diameter. Any change in the value will pose trouble for any individual because the contraction and expansion make it difficult for the blood to flow smoothly through the aorta. Height Alone, Rather Than Body Surface Area, Suffices for Risk Estimation in Ascending Aortic Aneurysm. Pulsed and continuous-wave Doppler interrogations were performed on all 4 cardiac valves. 10, 11 Therefore, BSA may be used to predict aortic root diameter in several age intervals. There were no significant residual linear relations of age, gender, body size measurements (weight, height, or BSA) with thedifferences between observed and predicted aortic diameters. Doppler-derived LV diastolic inflow was recorded in the apical 4-chamber view by placing the sample volume atthe tip level of the mitral valve leaflets. (PDF) Myocardial function after polarizing versus depolarizing cardiac 8600 Rockville Pike Indexed body surface area aortic diameters, stratified by age and gender, Click to share on Twitter (Opens in new window), Click to share on Facebook (Opens in new window), Click to share on Google+ (Opens in new window), on Normal Values of Aortic Root Dimensions in Healthy Adults, Aortic Root Dimensions and Stiffness in Healthy Subjects, Advances in Catheter Ablation of Primary Ventricular Fibrillation, Normal Values and Differences in Ascending Aortic Diameter in a Healthy Population of Adults as Measured by the Pediatric versus Adult American Society of Echocardiography Guidelines, Heart Rate Recovery After Exercise in Adults With the Down Syndrome, Standardizing the Method of Measuring by Echocardiogram the Diameter of the Ascending Aorta in Patients With a Bicuspid Aortic Valve, Reference Values of Tricuspid Annular Peak Systolic Velocity in Healthy Pediatric Patients, Calculation of Z Score, and Comparison to Tricuspid Annular Plane Systolic Excursion, Left Ventricular and Ascending Aortic Function After Stenting of Native Coarctation of Aorta, American Journal of Cardiology Volume 114 Issue 6. The study was approved by theinstitutions Ethics Board, and informed consent was obtained from the participants. Population-based . PDF Echocardiographic measurements of aortic root diameter (ARD) in The intraobserver variability analysis revealed Pearson correlations as follows: r= 0.90 (p <0.0001) for the aortic annulus, r= 0.97 (p <0.0001) for the sinuses of Valsalva, r= 0.96 (p <0.0001) for the sinotubular junction, and r= 0.86 (p <0.0001) for the maximum diameter of the proximal ascending aorta. doi: 10.1530/ERP-20-0035. Growth rate estimates, yearly . In some circumstances, the Society has chosen to deviate from the combined European and American guidance. and transmitted securely. However, reported ranges of AR normal dimensions are limited by small sample size, different measurement sites, and heterogeneous cohorts. Introduction. However, weight might not contribute substantially to aortic size and growth. Copyright 2000-2023 JLS Interactive, LLC. Multiple regression analysis for aortic diameters in relation to age, gender, body mass index, weight, and height was applied. The Bland-Altman analysis gave a 95% confidence interval of5.1 1.1% for the aortic annulus, 4.1 1.2% for the sinuses of Valsalva, 4.3 1.1% for the sinotubular junction, and 5.1 1.5% for the maximum diameter of the proximal ascending aorta. Derivation from the graph published in the article (figure 2) was therefore necessary. The aim of this study was to explore the full spectrum. Ascending aortic aneurysms: pathophysiology and indications for surgery Careers. Cuspidi C, Facchetti R, Bombelli M, Seravalle G, Grassi G, Mancia G. Clin Res Cardiol. :! tZf|}68meG.Hio)0*6&x. Size-adjusted aortic valve area: refining the definition of severe aortic stenosis. Stay tuned! 2012 Oct 15;110(8):1189- 94. Look up reference values adjusted for age, gender, and body size for the aortic root (aortic valve and sinus of valsalva) using data published in the american journal of. Comparability of different Z-score equations for aortic root dimensions Role of echocardiography in aortic stenosis. Changes in the echocardiographic assessment of the right heart: Separate reference intervals for males and females, New upper reference limits for RV outflow tract dimensions, RV body, and the right atrium, Introduction of indexed values to allow for body habitus. You should use a unique identifier, not the patients name to preserve confidentiality. Aortic Root Index AVA (Continuity Equation VMax) AVA (Continuity Equation VTI) . Indexing aortic valve area by body surface area increases the When compared with an aortic aneurysm, an aneurysm developing to the aortic root is fatal because it causes aortic valve leakage. You're still going to find the same useful information here. Transthoracic two-dimensional echocardiograms of 1,585 subjects (mean age, 47 17 years; 50.4% men; mean body surface area [BSA], 1.77 0.22 m2) were analyzed in a core laboratory following American Society of Echocardiography guidelines. . Among cardiovascular imaging techniques, 2-dimensional transthoracic color Doppler echocardiography (TTE) is widely available, safe, and cost-effective, and thus, it represents an excellent first-line screening tool toevaluate the aortic root (AR) morphology and dimensions. The annulus, which lacks a planar structure, is compressed to the round-shaped prosthesis after conventional AVR. This group previously published data that used aortic diameter indexed to BSA as a more patient-specific predictor of risk. Thus, current guideline-recommended normal ranges may need to be adjusted to account for these differences. 2019 Jun 15;123(12):2015-2021. doi: 10.1016/j.amjcard.2019.03.013. Background: To account for differences in body size in patients with aortic stenosis, aortic valve area (AVA) is divided by body surface area (BSA) to calculate indexed AVA (AVAindex). 2023 American College of Cardiology Foundation. The flap should have a movement that is not parallel with any other cardio-thoracic structure. Sex Age [years] 60 Height [cm] 175 Weight [kg] 80 ascending aorta diameter, mean [mm] ascending aorta diameter, +2SD [mm] (threshold diameter) ascending aorta length, mean [mm] Please enable it to take advantage of the complete set of features! Unable to load your collection due to an error, Unable to load your delegates due to an error. 8910 Studies that evaluated the determinants of aortic root size, however, have not yielded uniform results. The subjects underwent voluntary (or for work abilityassessment) full screening for cardiovascular disease including a questionnaire about medical history, use of medications, cardiovascular risk factors, and lifestyle habits (alcohol intake, smoking, and physical activity). Measurements were obtained perpendicular to the long axis of the aorta using the leading edge technique in views showing the largest aortic diameters. Am J Cardiol. From June 2007 to December 2013, a sample of 1,142 consecutive apparently health adults were referred to echocardiographic laboratories of the Department of Cardiology and Emergency Medicine of San Antonio Hospital, San Daniele del Friuli, Udine, Italy and Division of Cardiology, Cava de Tirreni-Amalfi Coast, Heart Department, University Hospital of Salerno, Italy, for the purpose of presentstudy. official website and that any information you provide is encrypted Aorta size is related most strongly to body surface area (BSA) and age. For patients > 15 years of age and adults: utilizing diastole and leading edge-to-leading edge measurement of the sinuses of valsalva. However, little is known about the underlying disease mechanisms. According to these criteria, 76 subjects were excluded: 2 for coronary artery disease, 10 for systemic arterial hypertension, 4 for diabetes mellitus, 8 for body mass index >30kg/m 2 , 7 for more than mild valvular insufficiency (3 mitral, 2 aortic, and 2 tricuspid), 2 for aortic stenosis, 4 for bicuspid aortic valve, 1 for hypertrophic cardiomyopathy, 1 for AR dilation, 1 for dilated cardiomyopathy, 8 for the use of pharmacologic treatment (hyperlipidemia, breast cancer, thyroid, gout, and prostate disease), 20 elite athletes, and 8 for inadequate echocardiographic image quality. JACC Cardiovasc Imaging. Normal Limits in Relation to Age, Body Size and Gender of Two Left Atrial Volume Index (LAVI) Calculator - MDApp Asch FM, Miyoshi T, Addetia K, Citro R, Daimon M, Desale S, Fajardo PG, Kasliwal RR, Kirkpatrick JN, Monaghan MJ, Muraru D, Ogunyankin KO, Park SW, Ronderos RE, Sadeghpour A, Scalia GM, Takeuchi M, Tsang W, Tucay ES, Tude Rodrigues AC, Vivekanandan A, Zhang Y, Blitz A, Lang RM; WASE Investigators. Generally, an aneurysm expands over a period at the rate of 10% per annum. Athletes with an absolute aortic root size >99th percentile who also exhibited a Z score >3 did not show progressive aortic root enlargement over the follow-up period.

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aortic root size indexed to bsa calculator

aortic root size indexed to bsa calculator

aortic root size indexed to bsa calculator

aortic root size indexed to bsa calculator