Body Roundness Index
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Body roundness index (BRI) is a calculated
geometric Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
index used to quantify an aspect of a person's individual
body shape Human body shape is a complex phenomenon with sophisticated detail and function. The general shape or figure of a person is defined mainly by the molding of skeletal structures, as well as the distribution of muscles and adipose tissue, fat. Ske ...
. Based on the principle of body
eccentricity Eccentricity or eccentric may refer to: * Eccentricity (behavior), odd behavior on the part of a person, as opposed to being "normal" Mathematics, science and technology Mathematics * Off-Centre (geometry), center, in geometry * Eccentricity (g ...
, it provides a rapid visual and
anthropometric Anthropometry (, ) refers to the measurement of the human individual. An early tool of physical anthropology, it has been used for identification, for the purposes of understanding human physical variation, in paleoanthropology and in various a ...
tool for health evaluation. Introduced in 2013, the BRI calculation can be used to estimate total and
visceral In a multicellular organism, an organ is a collection of Tissue (biology), tissues joined in a structural unit to serve a common function. In the biological organization, hierarchy of life, an organ lies between Tissue (biology), tissue and an o ...
body fat Adipose tissue (also known as body fat or simply fat) is a loose connective tissue composed mostly of adipocytes. It also contains the stromal vascular fraction (SVF) of cells including preadipocytes, fibroblasts, Blood vessel, vascular endothel ...
. Ranges of healthy body roundness have been established to accurately classify people with healthy fat
mass Mass is an Intrinsic and extrinsic properties, intrinsic property of a physical body, body. It was traditionally believed to be related to the physical quantity, quantity of matter in a body, until the discovery of the atom and particle physi ...
(
weight In science and engineering, the weight of an object is a quantity associated with the gravitational force exerted on the object by other objects in its environment, although there is some variation and debate as to the exact definition. Some sta ...
) compared to
obese Obesity is a medical condition, considered by multiple organizations to be a disease, in which excess body fat has accumulated to such an extent that it can potentially have negative effects on health. People are classified as obese when ...
people who are at risk for morbidities. Compared to traditional metrics, such as the
body mass index Body mass index (BMI) is a value derived from the mass (Mass versus weight, weight) and height of a person. The BMI is defined as the human body weight, body mass divided by the square (algebra), square of the human height, body height, and is ...
(BMI), (which uses weight and height), BRI may improve predictions of the amount of body fat and the volume of visceral adipose tissue. Despite its common use, BMI can misclassify individuals as obese because it does not distinguish between a person's
lean body mass Lean body mass (LBM), sometimes conflated with , is a component of body composition. Fat-free mass (FFM) is calculated by subtracting body fat weight from total body weight: total body weight is lean plus fat. In equations: :LBM = BW ...
and fat mass. Instead, BRI quantifies body girth as well as height, potentially providing more accurate estimates of fat mass. BRI scores range from 1 to 16, with most people between 1 and 10, although people with scores of 6.9 and up – indicating wider, rounder bodies – were found to have a risk of all-cause mortality that was increased by up to 49% compared to people having a medium BRI of 5. In a 2020 review, high BRI was associated with increased risk of
metabolic syndrome Metabolic syndrome is a clustering of at least three of the following five medical conditions: abdominal obesity, high blood pressure, high blood sugar, high serum triglycerides, and low serum high-density lipoprotein (HDL). Metabolic syndro ...
and several other diseases. Typical American adult BRI values range from 3 or less (midsection leanness) to 7 or more (midsection roundness), with a medium index of about 5. As a relatively newer predictive metric, BRI has a smaller research record compared to long-established indices like the BMI and waist-to-hip ratio, so its accuracy and applications remain to be as fully established. Conversely, the simple
waist-to-height ratio The waist-to-height ratio (WHtR, or WSR: waist-to-stature ratio) is the waist circumference divided by body height, both measured in the same units. WHtR is a measure of the distribution of body fat. Higher values of WHtR indicate higher risk of ...
(which uses the same measurements and is simpler to calculate) has a better research base, leading to its adoption as the preferred guideline in some countries.


History

BRI was first reported in 2013 by the mathematician Diana Thomas and colleagues in an analysis of three databases from studies of
demographics Demography () is the statistical study of human populations: their size, composition (e.g., ethnic group, age), and how they change through the interplay of fertility (births), mortality (deaths), and migration. Demographic analysis examin ...
, anthropometrics, fat mass, and visceral fat volume. Thomas visualized the human body shape as an egg or ellipse rather than as the
cylinder A cylinder () has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base. A cylinder may also be defined as an infinite ...
model that is envisioned in the concept of the BMI. The degree of circularity of an ellipse is quantified by eccentricity, with values between 0 and 1, where 0 is a perfect circle (waist circumference same as height) and 1 is a vertical line. To accommodate human shape data in a greater range, Thomas and colleagues mapped eccentricity in a range of 1 to 20 by using the equation: Body Roundness Index = 364.2 − 365.5 × ''Eccentricity''


Range of body roundness

Body roundness shapes vary across a range of people who are lean (BRI less than 3) to severely obese (BRI more than 12). According to the authors who developed BRI and subsequent research, overlap between adjacent BRI categories may occur.


Relationship to other anthropometric indices

In using human body and fat mass data from the United States
National Health and Nutrition Examination Survey The National Health and Nutrition Examination Survey (NHANES) is a survey research program conducted by the National Center for Health Statistics (NCHS) to assess the health and nutritional status of adults and children in the United States, and ...
(NHANES) database, the Thomas group found that BRI never was a negative value, and that larger BRI values were associated with people having a round shape, while shape values closer to 1 were related to people with narrow, lean bodies. The maximum observed BRI value in the NHANES data was 16. BRI had similar accuracy in predicting percentage body fat and percentage fat volume as existing indices, such as the BMI. As the conventional index associated with obesity research, the BMI has numerous drawbacks, as it is unable to distinguish between muscle and fat, is inaccurate in predicting body fat percentage, and has poor ability to predict the risk of heart attack, stroke or death. In a comparison study with BMI and five other metrics – a
body shape index A Body Shape Index (ABSI) or simply body shape index (BSI) is a metric for assessing the health implications of a given human body height, mass and waist circumference (WC). The inclusion of WC is believed to make the BSI a better indicator of ...
, conicity index,
body adiposity index The body adiposity index (BAI) is a method of estimating the amount of body fat in humans. The BAI is calculated without using body weight, unlike the body mass index (BMI). Instead, it uses the size of the hips compared to the person's height. ...
, waist–hip ratio, and abdominal volume index (AVI) – BRI and AVI proved most effective at predicting risk of developing nonalcoholic fatty liver disease (NAFLD). BRI and AVI also accurately stratified diagnosis of NAFLD by race, age, and gender.


Clinical research

The BRI has proved effective as an index for identifying risk of death from different diseases, disorders of metabolic syndrome, liver disease,
cardiovascular disease Cardiovascular disease (CVD) is any disease involving the heart or blood vessels. CVDs constitute a class of diseases that includes: coronary artery diseases (e.g. angina, heart attack), heart failure, hypertensive heart disease, rheumati ...
s in association with
sarcopenia Sarcopenia ( ICD-10-CM code M62.84) is a type of muscle loss that occurs with aging and/or immobility. It is characterized by the degenerative loss of skeletal muscle mass, quality, and strength. The rate of muscle loss is dependent on exer ...
, and
bone mineral density Bone density, or bone mineral density, is the amount of bone mineral in bone tissue. The concept is of mass of mineral per volume of bone (relating to density in the physics sense), although clinically it is measured by proxy according to opti ...
. BRI was also a better indicator than the BMI and body shape index for predicting the risk of
hypertension Hypertension, also known as high blood pressure, is a Chronic condition, long-term Disease, medical condition in which the blood pressure in the artery, arteries is persistently elevated. High blood pressure usually does not cause symptoms i ...
,
dyslipidemia Dyslipidemia is a metabolic disorder characterized by abnormally high or low amounts of any or all lipids (e.g. fats, triglycerides, cholesterol, phospholipids) or lipoproteins in the blood. Dyslipidemia is a risk factor for the development of ...
, and
hyperuricemia Hyperuricaemia or hyperuricemia is an abnormally high level of uric acid in the blood. In the pH conditions of body fluid, uric acid exists largely as urate, the ion form. Serum uric acid concentrations greater than 6 mg/dL for females, 7 ...
in Chinese women.


Limitations

Other indices of body and fat mass, such as BMI and waist-to-height ratio, have undergone more research evaluation and longitudinal clinical applications than BRI, and may be better predictors of fat distribution (e.g., visceral vs. subcutaneous fat) for estimating health risks. Two measurements of the BRI waist circumference and hip circumference are subject to high variability in standing obese people. Such variability may indicate differences in fat distribution in people with excessive visceral fat, causing errors in BRI. Diagnostic factors for diseases associated with obesity, such as
ethnicity An ethnicity or ethnic group is a group of people with shared attributes, which they Collective consciousness, collectively believe to have, and long-term endogamy. Ethnicities share attributes like language, culture, common sets of ancestry, ...
, family history, dietary habits, and physical activity, are not factored into the BRI, or are other outcomes, such as organ health status and duration of disease.


Calculation

The BRI models the human body shape as an
ellipse In mathematics, an ellipse is a plane curve surrounding two focus (geometry), focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. It generalizes a circle, which is the special ty ...
(an oval), with the intent to relate body girth with
height Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position (how "high" a point is). For an example of vertical extent, "This basketball player is 7 foot 1 inches in height." For an e ...
to determine body roundness. A simple
tape measure A tape measure or measuring tape is a long, flexible ruler used to measure length or distance. It usually consists of a ribbon of cloth, plastic, fibreglass, or metal (usually - hard steel alloy) strip with linear measurement markings. Types Ta ...
suffices to obtain
waist The waist is the part of the Human abdomen, abdomen between the rib cage and Hip (anatomy), hips. Normally, it is the narrowest part of the torso. ''Waistline'' refers to the horizontal line where the waist is narrowest, or to the general appe ...
circumference In geometry, the circumference () is the perimeter of a circle or ellipse. The circumference is the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length arou ...
and
height Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position (how "high" a point is). For an example of vertical extent, "This basketball player is 7 foot 1 inches in height." For an e ...
. Waist circumference and height can be in any
unit of length A unit of length refers to any arbitrarily chosen and accepted reference standard for measurement of length. The most common units in modern use are the metric units, used in every country globally. In the United States the U.S. customary un ...
, as long as they both use the same one. BRI is calculated as \text=364.2-365.5\sqrt which can be broken down to 3 steps: # Compute Waist-to-height ratio, \text=\frac
=
=
# Compute
eccentricity Eccentricity or eccentric may refer to: * Eccentricity (behavior), odd behavior on the part of a person, as opposed to being "normal" Mathematics, science and technology Mathematics * Off-Centre (geometry), center, in geometry * Eccentricity (g ...
(e) of the vertical
ellipse In mathematics, an ellipse is a plane curve surrounding two focus (geometry), focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. It generalizes a circle, which is the special ty ...
around the body, \text=\sqrt
sqrt(1-(/)^2)
# Compute BRI, \text=364.2-365.5\times\;\text
364.2 - 365.5 *
≈ Predictions of % total
body fat Adipose tissue (also known as body fat or simply fat) is a loose connective tissue composed mostly of adipocytes. It also contains the stromal vascular fraction (SVF) of cells including preadipocytes, fibroblasts, Blood vessel, vascular endothel ...
and % visceral adipose tissue apply a different eccentricity equation using waist and hip circumferences, age, height, gender, ethnicity, and body weight as inputs.


See also

* * * * * * * * *


References

{{reflist Anthropometry Body shape Classification of obesity Human body weight Human height Mathematics in medicine Medical signs Ratios