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(Circulation. 2008;117:2279-2287.)
© 2008 American Heart Association, Inc.
Contemporary Reviews in Cardiovascular Medicine |
From the Division of Cardiovascular Medicine (F.E.D., V.F.F., E.A.A.) and the Division of Pediatric Cardiology (D.R., D.J.M.), Stanford University School of Medicine, Stanford, Calif.
Correspondence to Dr Euan Ashley, Division of Cardiovascular Medicine, Stanford University School of Medicine, Falk Cardiovascular Research Center, 300 Pasteur Dr, Stanford, CA 94305. E-mail euan{at}stanford.edu
| Abstract |
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Key Words: cardiomyopathy hypertrophy body size organ size
| Introduction |
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Clinical Vignette No. 2: The patient is a 66-year-old woman who has a height of 155 cm and a body mass of 49 kg. She has a history of hyperlipidemia and abdominal aortic aneurysm. She comes to the clinic for her yearly ultrasound follow-up, which shows a maximum aneurysm diameter of 50 mm. She is in a "gray zone" in which neither surgical correction nor watchful waiting is definitively indicated.
Considerable evidence is available that biological processes from metabolic enzyme activity1 to plant and animal metabolic rates2–4 to cancer metastasis5 scale with body size over the entire range of organism size and speciation. Cardiovascular structural and functional variables also scale with body size. Compare, for instance, the blue whale, which has a heart mass of 600 kg and a resting heart rate of 6 bpm, with the smallest mammal, the shrew, which has a heart mass of 12 mg and a resting heart rate of up to 1200 bpm.6 Despite the clear relationship between body size and cardiovascular dimensions and functional parameters, the practice of scaling cardiovascular measurements is poorly applied in adult clinical cardiology. This contrasts with pediatric medicine, in which measurements are universally indexed to body size. The intuitive idea that body growth implies a greater need for scaling in pediatric medicine is, however, not grounded in evidence. In the National Health and Nutrition Examination Survey (NHANES) 1999 to 2002,7 the average height of men and women 20 years and older was 175 and 163 cm, respectively. With a standard deviation of 18 cm, 90% of the population would fall within the range 127 to 211 cm. Contrast this with the average height of 3-year-old boys and girls in the same survey (99 and 97 cm, respectively) and compare that with that of 18-year-olds (175 and 163 cm, respectively). Clearly, variation within the adult population is sufficient to justify scaling of cardiovascular parameters.
In the present review, we discuss which cardiovascular structural and functional parameters are currently scaled and how they are scaled. We present the theoretical basis, empirical evidence, and clinical applications of alternative scaling relationships and propose recommendations for incorporation of cardiovascular scaling into adult clinical practice. Lastly, we propose areas for future investigation to extend the clinical utility of cardiovascular scaling.
| Why Scale Cardiovascular Dimensions and Function? |
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Research into the morphological changes that accompany athletic training has identified a number of different areas of ambiguity between pathological and physiological cardiac states. Recent evidence suggests that preparticipation screening, including echocardiography as a secondary screening tool, reduces risk of sudden death in athletes by nearly 90%.8 Aside from the financial and practical difficulties inherent in applying such screening programs widely,9 one of the most important challenges to effective screening strategies in athletes is distinguishing between normal physiological responses to long-term cardiovascular conditioning and primary pathology. In studies that have quantified the normal range of cardiac morphological responses to training,10–14 between 1.7% and 2.5% of elite athletes have an LV wall thickness compatible with a diagnosis of hypertrophic cardiomyopathy.10,12 Similarly, up to 8% of female athletes may develop LV chamber dilation in the "gray area" between dilated cardiomyopathy and physiological adaptation to training.11 These findings suggest that a significant area of ambiguity exists (Figure 1) in which LV chamber morphology alone cannot distinguish physiological responses to training from cardiomyopathy. The size differences between athletes and nonathletes, who constitute the majority of populations in which normative ranges for cardiac morphology have been defined, contribute to this diagnostic ambiguity. We use the same normal ranges for a National Basketball Association player (the average US National Basketball Association player for the 2006 to 2007 season is 201 cm tall and has a body mass of 101 kg)15 as we do for the average American (the average American male is 175 cm tall and 87 kg in mass; Figure 2)16 and for an elderly Chinese woman (the average height of Chinese women is 160 cm).17 This divergence in body size is only increasing as athlete morphology is continually selected for success.18
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The stakes of resolving such diagnostic ambiguity are high. Labeling an individual with a diagnosis of hypertrophic cardiomyopathy means life-long abstinence from competitive sport. Furthermore, yearly clinical follow-up, screening of other family members, and, potentially, cardioverter-defibrillator implantation come at high monetary and psychological costs. Consequently, inappropriate diagnosis may lead to severe psychological, societal, and financial consequences for the excluded athlete. False reassurance may also lead to exposure to increased risk of sudden cardiac death. A diagnosis of dilated cardiomyopathy has similar life-altering implications for patients.
Assessment of LV internal dimensions and filling patterns, the response to deconditioning, family history, and genetic testing have all been proposed as aids to appropriate diagnosis19; however, the clinical distinction often remains problematic. A period of detraining may jeopardize an athletes training status for elite competition, and the expected amount or rate of morphological change with deconditioning in patients with physiological hypertrophy remains uncertain. Genetic testing for 1 of the more than 450 mutations associated with the disease is currently costly, in terms of both initial screening costs and genetic counseling, and is only 70% sensitive.
Areas of ambiguity also exist in the evaluation of vascular structures. Current guidelines for abdominal aortic aneurysms recommend surgical correction at a diameter of 5.5 cm or more and stipulate that aneurysms <4.0 cm do not require intervention. Aneurysms between 4.0 and 5.5 cm, however, fall into a gray area in which surgical correction is neither definitively indicated nor contraindicated. Premature surgical correction unnecessarily exposes patients to high-risk surgical or endovascular procedures, whereas delaying correction of unstable aneurysms puts patients at high risk of rupture and sudden death. The rate of progression of aortic diameter, measurements of wall stress and distensibility,20,21 coexisting clinical risk factors, and circulating inflammatory and matrix-remodeling biomarkers22,23 have been associated with rates of aneurysm progression and rupture and may be used to empirically inform this decision-making process. However, the prediction of the probability of aneurysm rupture and subsequent need for preemptive intervention remains difficult and may be aided by appropriate consideration of body size when one evaluates aortic morphology.
| Current Scaling Practices |
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O2max routinely scaled to body mass (mL · kg–1 · min–1). In addition, infusions of certain inotropes and vasopressors are commonly dosed on a per-kilogram basis in the intensive care setting.
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| Are We Scaling Correctly? |
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Allometric scaling approaches divide the cardiovascular variable of interest by a body size variable raised to a scalar exponent. The allometric body size correction is thus given by s=x/yb, where b is defined as the allometric scaling exponent. Body size corrections of this form (1) do not make any assumptions about the variance and correlation between anthropomorphic parameters and cardiovascular parameters, (2) allow for relationships between body size and cardiovascular variables that accommodate different relative geometries, and (3) have been shown empirically to eliminate the effects of body size on cardiovascular structure and function. We will thus focus on allometric scaling as a more appropriate scaling alternative than ratiometric methods.
Consideration should also be given to the most appropriate body size parameter for normalization of cardiovascular variables. Because the cardiovascular system has evolved for efficient distribution of metabolic substrates (in particular, oxygen) to tissues with great potential for use of such substrates, the most appropriate scaling might be found in normalizing the circulatory supply (cardiovascular system) to the metabolically active tissue. Current scaling methods normalize cardiovascular parameters to BSA and total body mass. These anthropomorphic variables quantify both tissue that has great metabolic potential, such as muscle, and tissue with relatively little metabolic potential, such as adipose tissue and extravascular fluid volumes. The contribution of such tissues to BSA and total body mass is particularly large in patients in whom accurate scaling of cardiovascular function is most important. For example, extracellular fluid constitutes 30% to 33% of body weight in patients with congestive heart failure, whereas extracellular water constitutes only 22% to 26% of body weight in healthy men and women.28 Similarly, adipose tissue constitutes >35% of total body mass in obese patients but may constitute 7% or less of total body mass in elite athletes. These theoretical considerations have been supported by empirical evidence that body composition has significant effects on the accuracy of relationships between body mass and surface area and parameters of cardiac structure29,30 and function.31 It is also noteworthy that the most widely used method for calculation of BSA, the Dubois and Dubois regression, is an empirically derived formula that was developed via study of only 9 cadaveric subjects more than 90 years ago.32 It is therefore unsurprising that significant error in estimation has been observed in up to 15% of patients in more contemporary and diverse subject populations.33 It may be intuitive to conclude that height is a useful scaling parameter because it is not altered by large volumes of adipose tissue or extravascular fluid; however, fat free mass (FFM) may vary greatly for individuals of similar height, and body size has been shown to interact significantly with cardiovascular variables that were scaled to height.26 From an empirical and theoretical standpoint, scaling of cardiovascular parameters to tissue mass with high metabolic potential (ie, FFM or lean body mass) is more appropriate than scaling to body size parameters that may not accurately quantify tissue with high metabolic potential.
| Evidence for Allometric Scaling of Cardiovascular Structure |
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We have summarized empirical evidence for scaling of cardiovascular size parameters in humans in Table 3. These studies generally support dimensionally consistent allometric relationships between cardiovascular structure and FFM, but the relationships between total body mass and BSA and cardiovascular structure are less consistent. Gutgesell and Rembold38 studied the relationship between cardiac dimensions and BSA in 7 theoretical "subjects" spanning human age ranges whose cardiac dimensions and body dimensions were modeled by values derived from several large studies of normal subjects. The authors found that linear cardiac dimensions (LV, aortic, and pulmonary artery diameter) were proportional to BSA raised to the power of 0.5 and that ratiometric scaling systematically underestimated linear dimensions for small subjects and overestimated linear dimensions for large subjects. Similarly, they found that the relationship between BSA and LV volume was better modeled by allometric scaling in a dimensionally consistent manner than by ratiometric scaling.38 In a cohort of 464 junior athletes, the relationships between LV and left atrial dimensions and body mass and BSA were observed to be dimensionally consistent: The authors found that LV mass scaled allometrically to body mass and BSA with scaling exponents not significantly different from 1 and 1.5, respectively. Other LV dimensions were similarly dimensionally consistent. Importantly, these allometric relationships were independent of body size, whereas LV dimensions scaled by ratiometric methods to BSA were not.26 It is noteworthy that this study used regression constrained to pass through the origin, which yields a high coefficient of determination (R2) compared with methods that are not constrained as such. Similarly, in a study of 142 healthy untrained adult subjects, LV mass scaled ratiometrically with FFM; however, in contrast to the findings in the athletic population, these authors found that LV mass scaled allometrically with body mass with a scaling exponent of 0.8. These scaled LV mass indices were independent of FFM and body mass, whereas LV mass scaled ratiometrically to body mass was not.37 A pooled cohort of 611 normotensive subjects spanning an age range from infancy to late maturity, however, demonstrated dimensionally consistent relationships between LV mass and all anthropomorphic parameters considered, including body mass.36 These apparent disparities may result from different age ranges in the studied subjects and from differences in methodology used to determine the relationship between anthropometry and cardiac dimensions. Direct comparisons of scaling relationships with total body mass in athletic and nonathletic populations have yielded similarly varied results. In 1 series, dimensionally consistent scaled cardiac parameters were not different between sedentary subjects and subjects engaged in isometric sports,29 which indicates that scaling relationships between body mass and LV structures were similar between these 2 groups. Similarly, in a study of 30 endurance-trained adult athletes and 28 untrained adult control subjects, neither LV mass nor LV end-diastolic dimension, scaled in a dimensionally consistent manner to FFM and height, differed significantly between athletes and control subjects.39 However, these differences persisted in adult athletes engaged in dynamic sports in another study,40 which indicates that differences in scaling relationships may persist between athletic and sedentary populations.
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Allometric scaling has also contributed to the debate about intrinsic differences in cardiovascular dimensions between males and females. Because of the significant size difference between adult men and women, appropriate normalization to body size may minimize gender differences in cardiac size. Although cardiac dimensions generally are larger in men than in women when scaled ratiometrically to body size, evidence exists that allometric scaling minimizes these differences. Gender differences were completely abolished in some studies when cardiac dimensions were scaled allometrically26,40 but persisted, albeit at reduced magnitude, in other studies.37,41
Vascular scaling research has primarily been constrained to interspecies studies, in which vessel diameter and total cross-sectional area scale allometrically in theoretically and empirically derived relationships to mammal mass.35,42 In these studies, aortic diameter scales with body mass with an allometric exponent of
0.4,42–44 whereas capillary density appears to be relatively invariant with regard to body size.42,45,46 Blood volume appears to scale ratiometrically with body mass,42,47,48 which provides a rationale for scaling intravenous infusions to this variable. There has been little empirical research to date, however, to quantify allometric scaling properties of vascular structure over the range of body sizes in humans. It remains to be seen whether these relationships are consistent in humans, in whom the range of body mass encompasses a wider range of body compositions than in other mammals. It may be acceptable, however, to extend these allometric relationships to relationships between vessel dimensions and FFM.
| Evidence for Allometric Scaling of Cardiovascular Function |
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Cardiovascular functional parameters during both submaximal and maximal exercise appear to scale ratiometrically with body size. Allometric scaling of submaximal exercise cardiac output and stroke volume produced size-independent measures of cardiac output and stroke volume and normalized submaximal cardiac output and stroke volume between sexes in the Health, Risk Factors, Exercise Training, and Genetics (HERITAGE) family study cohort, whereas ratiometric methods did not.53 In premenarchal girls, allometric scaling of
O2max eliminated the effects of body size, whereas ratiometric scaling methods did not.54 Similarly, in athletes, the associations between body size and allometrically scaled
O2max were minimal in cross-sectional49 and longitudinal50,51 studies, whereas significant correlations between body size and unscaled
O2max were observed.
Similar scaling laws appear to govern the time scale of cardiac function. Mammalian heart rate is thought to vary with mass to the power of –1/4,35,43 whereas empirical evidence shows that the PR interval scales allometrically with mass raised to the power of 1/4 in mammals.55 These "quarter law" relationships are the basis for allometric scaling theory, and although these relationships have been well defined in interspecies scaling studies, the relationships between time scales of cardiac function and anthropometry remain to be elucidated in humans.
Many parameters of cardiovascular function are affected by a complex interplay of factors, some of which may be only indirectly related to body size. For example, whereas heart rate appears to be directly affected by body size, inotropy, preload, and afterload are only indirectly, if at all, dependent on body size. This fact may be at the origin of many of the controversial findings in different subject populations in which 1 or many of these factors may dominantly influence parameters of cardiovascular function.
| Theoretical Basis of Allometric Scaling |
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The genetic origins of anthropomorphic relationships also merit discussion. Total lean body mass has been shown to be a highly heritable trait that is independent of other body size parameters, with 65% of variability attributable to independent genetic effects of quantitative trait loci in 1 series.63 The relationship between lean body mass and skeletal length has been shown to have genetic origins in providing a "uniform safety factor" for skeletal failure in organisms of different body masses.64 The consistent and strong relationship between height and FFM (but a weaker relationship between height and weight) has been used as evidence to provide a framework for height-normalized indexes.65 This approach has some prognostic merit, as was shown by de Simone et al,66 who demonstrated the superiority of height-indexed LV mass measurements over BSA-indexed LV mass measurements. These findings may suggest that height may be the preferred index for cardiovascular measurements when FFM cannot be determined.
| Practical Aspects of Anthropomorphic Measurements |
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| Conclusions |
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We propose that cardiovascular parameters allometrically scaled to FFM or, if practical constraints make determination of FFM unwieldy, height in a dimensionally consistent manner may better indicate the normalcy of cardiovascular size and function for a given patient size. Similarly, we propose that cardiovascular functional parameters scaled allometrically to FFM or height according to empirically derived relationships will reduce the confounding effects of body size and improve clinical management. Clinical investigations should be performed to define normative ranges of these indexed values for clinicians reference. The prognostic applications of these indexed values should then be evaluated for incorporation into clinical decision-making algorithms that depend on precise assessment of cardiovascular structure and function. Reliance on parameters ratiometrically scaled to BSA for clinical decision making should be discouraged. In all cases, but particularly when differences in body mass or BSA may not reflect differences in tissue mass with high metabolic potential (such as in obese patients), unscaled parameters should be considered alongside scaled parameters.
Scaling is routine in pediatric practice, yet adult size variation is equivalent to that of the pediatric population. The time is quite right for a reassessment of our current practice of normalization of cardiovascular variables to body size in adult clinical practice.
Clinical Vignette No. 1
Bioelectric impedance is used to measure the patients body fat percentage, which is determined to be 7%. LV wall thickness is normalized to FFM, yielding a normalized value of: equation
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Given the currently accepted upper limit of normal for LV wall thickness of 13 mm, as well as the mean FFM calculated from skinfold thicknesses for the 1999 to 2002 NHANES population (data for US male citizens 20 to 29 years of age) of 26.2%, this falls below the estimated upper limit for the scaled LV thickness of 3.26 mm/(kg1/3). The patient is reassured that his cardiac dimensions may fall within the normal range for his size. In accordance with current guidelines, the patient is prescribed a 6-week period without athletic training, after which a follow-up echocardiogram demonstrates septal and posterior wall thicknesses of 11.5 mm. He is told that his increased wall thickness is due to intense endurance athletic conditioning, and he is allowed to resume training.
Clinical Vignette No. 2
Given the patients mass of 49 kg, her normalized aortic diameter is 50 mm/(49 kg0.4)=10.54 mm/(kg0.4). Given that surgical abdominal aortic aneurysm correction is indicated for patients with aortic diameters of >55 mm and a mean body mass from NHANES 1999 to 2002 for people 60 to 69 years of age of 76.4 kg, the estimated normalized diameter at which surgery is indicated is 9.71 mm/(kg0.4). Together, the patient and surgeon decide that surgical repair of the abdominal aortic aneurysm is indicated.
| References |
|---|
2. Dreyer O, Puzio R. Allometric scaling in animals and plants. J Math Biol. 2001; 43: 144–156.[CrossRef][Medline] [Order article via Infotrieve]
3. White CR, Seymour RS. Allometric scaling of mammalian metabolism. J Exp Biol. 2005; 208: 1611–1619.
4. West GB, Woodruff WH, Brown JH. Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals. Proc Natl Acad Sci U S A. 2002; 99 (suppl 1): 2473–2478.
5. Demicheli R, Biganzoli E, Boracchi P, Greco M, Hrushesky WJ, Retsky MW. Allometric scaling law questions the traditional mechanical model for axillary lymph node involvement in breast cancer. J Clin Oncol. 2006; 24: 4391–4396.
6. Dobson GP. On being the right size: heart design, mitochondrial efficiency, and lifespan potential. Clin Exp Pharmacol Physiol. 2003; 30: 590–597.[CrossRef][Medline] [Order article via Infotrieve]
7. Ogden CL, Fryar CD, Carroll MD, Flegal KM. Mean Body Weight, Height, and Body Mass Index, United States 1960–2002. Atlanta, Ga: Centers for Disease Control and Prevention, US Department of Health and Human Services; 2004.
8. Corrado D, Basso C, Pavei A, Michieli P, Schiavon M, Thiene G. Trends in sudden cardiovascular death in young competitive athletes after implementation of a preparticipation screening program. JAMA. 2006; 296: 1593–1601.
9. Maron BJ, Thompson PD, Ackerman MJ, Balady G, Berger S, Cohen D, Dimeff R, Douglas PS, Glover DW, Hutter AM Jr, Krauss MD, Maron MS, Mitten MJ, Roberts WO, Puffer JC. Recommendations and considerations related to preparticipation screening for cardiovascular abnormalities in competitive athletes: 2007 update: a scientific statement from the American Heart Association Council on Nutrition, Physical Activity, and Metabolism: endorsed by the American College of Cardiology Foundation. Circulation. 2007; 115: 1643–1655.
10. Whyte GP, George K, Sharma S, Firoozi S, Stephens N, Senior R, McKenna WJ. The upper limit of physiological cardiac hypertrophy in elite male and female athletes: the British experience. Eur J Appl Physiol. 2004; 92: 592–597.[Medline] [Order article via Infotrieve]
11. Pelliccia A, Maron BJ, Culasso F, Spataro A, Caselli G. Athletes heart in women: echocardiographic characterization of highly trained elite female athletes. JAMA. 1996; 276: 211–215.
12. Pelliccia A, Maron BJ, Spataro A, Proschan MA, Spirito P. The upper limit of physiologic cardiac hypertrophy in highly trained elite athletes. N Engl J Med. 1991; 324: 295–301.[Abstract]
13. Nagashima J, Musha H, Takada H, Murayama M. New upper limit of physiologic cardiac hypertrophy in Japanese participants in the 100-km ultramarathon. J Am Coll Cardiol. 2003; 42: 1617–1623.
14. Sharma S, Maron BJ, Whyte G, Firoozi S, Elliott PM, McKenna WJ. Physiologic limits of left ventricular hypertrophy in elite junior athletes: relevance to differential diagnosis of athletes heart and hypertrophic cardiomyopathy. J Am Coll Cardiol. 2002; 40: 1431–1436.
15. 2006–2007 Player survey: Mr. Average. NBA Web site. NBA Ventures, LLC; 2006. Available at: http://www.nba.com/news/survey_2006.html. Accessed June 11, 2007.
16. McDowell MA, Fryar CD, Hirsch R, Ogden CL. Anthropometric reference data for children and adults: US population, 1999–2002. Atlanta, Ga: Centers for Disease Control and Prevention, US Department of Health and Human Services; 2005.
17. High hopes. Time, Inc; 2001. Available at: www.time.com/time/world/article/0,8599,187654,00.html. Accessed June 10, 2007.
18. Norton K, Olds T. Morphological evolution of athletes over the 20th century: causes and consequences. Sports Med. 2001; 31: 763–783.[CrossRef][Medline] [Order article via Infotrieve]
19. Maron BJ, Pelliccia A. The heart of trained athletes: cardiac remodeling and the risks of sports, including sudden death. Circulation. 2006; 114: 1633–1644.
20. Fillinger MF, Marra SP, Raghavan ML, Kennedy FE. Prediction of rupture risk in abdominal aortic aneurysm during observation: wall stress versus diameter. J Vasc Surg. 2003; 37: 724–732.[CrossRef][Medline] [Order article via Infotrieve]
21. Wilson KA, Lee AJ, Lee AJ, Hoskins PR, Fowkes FG, Ruckley CV, Bradbury AW. The relationship between aortic wall distensibility and rupture of infrarenal abdominal aortic aneurysm. J Vasc Surg. 2003; 37: 112–117.[CrossRef][Medline] [Order article via Infotrieve]
22. Satta J, Haukipuro K, Kairaluoma MI, Juvonen T. Aminoterminal propeptide of type III procollagen in the follow-up of patients with abdominal aortic aneurysms. J Vasc Surg. 1997; 25: 909–915.[CrossRef][Medline] [Order article via Infotrieve]
23. Lindholt JS, Vammen S, Fasting H, Henneberg EW, Heickendorff L. The plasma level of matrix metalloproteinase 9 may predict the natural history of small abdominal aortic aneurysms: a preliminary study. Eur J Vasc Endovasc Surg. 2000; 20: 281–285.[CrossRef][Medline] [Order article via Infotrieve]
24. Pelliccia A, Culasso F, Di Paolo FM, Maron BJ. Physiologic left ventricular cavity dilatation in elite athletes. Ann Intern Med. 1999; 130: 23–31.
25. Tanner J. Fallacy of per-weight and per-surface area standards and their relation to spurious correlation. J Appl Physiol. 1949; 2: 1–15.
26. George K, Sharma S, Batterham A, Whyte G, McKenna W. Allometric analysis of the association between cardiac dimensions and body size variables in 464 junior athletes. Clin Sci. 2001; 100: 47–54.[CrossRef][Medline] [Order article via Infotrieve]
27. Schmidt-Nielsen K. Scaling: Why is Animal Size So Important? New York, NY: Cambridge University Press; 1984.
28. Sergi G, Lupoli L, Volpato S, Bertani R, Coin A, Perissinotto E, Calliari I, Inelmen EM, Busetto L, Enzi G. Body fluid distribution in elderly subjects with congestive heart failure. Ann Clin Lab Sci. 2004; 34: 416–422.
29. George KP, Batterham AM, Jones B. The impact of scalar variable and process on athlete-control comparisons of cardiac dimensions. Med Sci Sports Exerc. 1998; 30: 824–830.[Medline] [Order article via Infotrieve]
30. Nevill AM, Stewart AD, Olds T, Holder R. Are adult physiques geometrically similar? The dangers of allometric scaling using body mass power laws. Am J Phys Anthropol. 2004; 124: 177–182.[CrossRef][Medline] [Order article via Infotrieve]
31. Vanderburgh PM, Katch FI. Ratio scaling of VO2max penalizes women with larger percent body fat, not lean body mass. Med Sci Sports Exerc. 1996; 28: 1204–1208.[Medline] [Order article via Infotrieve]
32. Dubois D, Dubois E. A formula to estimate the approximate surface area if height and weight be known. Arch Intern Med. 1916; 17: 863–871.
33. Mosteller RD. Simplified calculation of body surface area. N Engl J Med. 1987; 317: 1098.[Medline] [Order article via Infotrieve]
34. Cornell CC, Kittleson MD, Della Torre P, Haggstrom J, Lombard CW, Pedersen HD, Vollmar A, Wey A. Allometric scaling of M-mode cardiac measurements in normal adult dogs. J Vet Intern Med. 2004; 18: 311–321.[CrossRef][Medline] [Order article via Infotrieve]
35. Dawson TH. Similitude in the cardiovascular system of mammals. J Exp Biol. 2001; 204: 395–407.[Abstract]
36. de Simone G, Daniels SR, Devereux RB, Meyer RA, Roman MJ, de Divitiis O, Alderman MH. Left ventricular mass and body size in normotensive children and adults: assessment of allometric relations and impact of overweight. J Am Coll Cardiol. 1992; 20: 1251–1260.[Abstract]
37. Batterham AM, George KP, Mullineaux DR. Allometric scaling of left ventricular mass by body dimensions in males and females. Med Sci Sports Exerc. 1997; 29: 181–186.[Medline] [Order article via Infotrieve]
38. Gutgesell HP, Rembold CM. Growth of the human heart relative to body surface area. Am J Cardiol. 1990; 65: 662–668.[CrossRef][Medline] [Order article via Infotrieve]
39. Whalley GA, Doughty RN, Gamble GD, Oxenham HC, Walsh HJ, Reid IR, Baldi JC. Association of fat-free mass and training status with left ventricular size and mass in endurance-trained athletes. J Am Coll Cardiol. 2004; 44: 892–896.
40. George KP, Gates PE, Whyte G, Fenoglio RA, Lea R. Echocardiographic examination of cardiac structure and function in elite cross trained male and female Alpine skiers. Br J Sports Med. 1999; 33: 93–98.
41. Urhausen A, Monz T, Kindermann W. Sports-specific adaptation of left ventricular muscle mass in athletes heart, I: an echocardiographic study with combined isometric and dynamic exercise trained athletes (male and female rowers). Int J Sports Med. 1996; 17 (suppl 3): S145–S151.[CrossRef][Medline] [Order article via Infotrieve]
42. Bengtsson HU, Eden P. A simple model for the arterial system. J Theor Biol. 2003; 221: 437–443.[CrossRef][Medline] [Order article via Infotrieve]
43. Clark A. Comparative Physiology of the Heart. Cambridge, UK: Cambridge University Press; 1927.
44. Holt JP, Rhode EA, Holt WW, Kines H. Geometric similarity of aorta, venae cavae, and certain of their branches in mammals. Am J Physiol. 1981; 241: R100–R104.[Medline] [Order article via Infotrieve]
45. Schmidt-Neilsen K, Pennycuick P. Capillary density in mammals in relation to body size and oxygen consumption. Am J Physiol. 1961; 200: 746–750.
46. Hoppeler H, Mathieu O, Weibel E, Krauer R, Lindstedt S, Taylor C. Design of mammalian respiratory system VIII: capillaries in skeletal muscles. Respir Physiol. 1981; 44: 129–150.[CrossRef][Medline] [Order article via Infotrieve]
47. Prothero JW. Scaling of blood parameters in mammals. Comp Biochem Physiol A. 1980; 67: 649–657.
48. Stahl WR. Scaling of respiratory variables in mammals. J Appl Physiol. 1967; 22: 453–460.
49. Chamari K, Moussa-Chamari I, Boussaidi L, Hachana Y, Kaouech F, Wisloff U. Appropriate interpretation of aerobic capacity: allometric scaling in adult and young soccer players. Br J Sports Med. 2005; 39: 97–101.
50. Eisenmann JC, Pivarnik JM, Malina RM. Scaling peak VO2 to body mass in young male and female distance runners. J Appl Physiol. 2001; 90: 2172–2180.
51. Janz KF, Burns TL, Witt JD, Mahoney LT. Longitudinal analysis of scaling VO2 for differences in body size during puberty: the Muscatine Study. Med Sci Sports Exerc. 1998; 30: 1436–1444.[CrossRef][Medline] [Order article via Infotrieve]
52. de Simone G, Devereux RB, Daniels SR, Mureddu G, Roman MJ, Kimball TR, Greco R, Witt S, Contaldo F. Stroke volume and cardiac output in normotensive children and adults: assessment of relations with body size and impact of overweight. Circulation. 1997; 95: 1837–1843.
53. Turley KR, Stanforth PR, Rankinen T, Bouchard C, Leon AS, Rao DC, Skinner JS, Wilmore JH, Spears FM. Scaling submaximal exercise cardiac output and stroke volume: the HERITAGE Family Study. Int J Sports Med. 2006; 27: 993–999.[CrossRef][Medline] [Order article via Infotrieve]
54. Rowland T, Goff D, Martel L, Ferrone L, Kline G. Normalization of maximal cardiovascular variables for body size in premenarcheal girls. Pediatr Cardiol. 2000; 21: 429–432.[CrossRef][Medline] [Order article via Infotrieve]
55. Noujaim SF, Lucca E, Munoz V, Persaud D, Berenfeld O, Meijler FL, Jalife J. From mouse to whale: a universal scaling relation for the PR interval of the electrocardiogram of mammals. Circulation. 2004; 110: 2802–2808.
56. Banavar JR, Maritan A, Rinaldo A. Size and form in efficient transportation networks. Nature. 1999; 399: 130–132.[CrossRef][Medline] [Order article via Infotrieve]
57. Painter PR. Allometric scaling of the maximum metabolic rate of mammals: oxygen transport from the lungs to the heart is a limiting step. Theor Biol Med Model. 2005; 2: 31.[CrossRef][Medline] [Order article via Infotrieve]
58. Santillan M. Allometric scaling law in a simple oxygen exchanging network: possible implications on the biological allometric scaling laws. J Theor Biol. 2003; 223: 249–257.[CrossRef][Medline] [Order article via Infotrieve]
59. West GB, Brown JH. The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization. J Exp Biol. 2005; 208: 1575–1592.
60. Livingston EH, Kohlstadt I. Simplified resting metabolic rate-predicting formulas for normal-sized and obese individuals. Obes Res. 2005; 13: 1255–1262.[Medline] [Order article via Infotrieve]
61. Weibel ER, Bacigalupe LD, Schmitt B, Hoppeler H. Allometric scaling of maximal metabolic rate in mammals: muscle aerobic capacity as determinant factor. Respir Physiol Neurobiol. 2004; 140: 115–132.[CrossRef][Medline] [Order article via Infotrieve]
62. West GB, Brown JH, Enquist BJ. The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science. 1999; 284: 1677–1679.
63. Livshits G, Kato BS, Wilson SG, Spector TD. Linkage of genes to total lean body mass in normal women. J Clin Endocrinol Metab. 2007; 92: 3171–3176.
64. Biewener AA. Locomotory stresses in the limb bones of two small mammals: the ground squirrel and chipmunk. J Exp Biol. 1983; 103: 131–154.
65. Heymsfield SB, Gallagher D, Mayer L, Beetsch J, Pietrobelli A. Scaling of human body composition to stature: new insights into body mass index. Am J Clin Nutr. 2007; 86: 82–91.
66. de Simone G, Kizer JR, Chinali M, Roman MJ, Bella JN, Best LG, Lee ET, Devereux RB. Normalization for body size and population-attributable risk of left ventricular hypertrophy: the Strong Heart Study. Am J Hypertens. 2005; 18: 191–196.[CrossRef][Medline] [Order article via Infotrieve]
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