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体重/身高:全球使用最广泛的肥胖指数的数学概述。

Weight/height: Mathematical overview of the world's most widely used adiposity index.

作者信息

Heymsfield Steven B, Sorkin John D, Thomas Diana M, Yang Shengping, Heo Moonseong, McCarthy Cassidy, Brown Jasmine, Pietrobelli Angelo

机构信息

Pennington Biomedical Research Center, LSU System, Baton Rouge, Louisiana, USA.

Baltimore VA Medical Center Geriatric Research, Education and Clinical Center, Maryland, USA.

出版信息

Obes Rev. 2025 Jan;26(1):e13842. doi: 10.1111/obr.13842. Epub 2024 Oct 10.

Abstract

A footnote in Adolphe Quetelet's classic 1835 Treatise on Man described his algebraic analysis of how body weight ( ) varies with height ( ) in adult males and females. Using data on 12 short and 12 tall subjects of each sex, Quetelet established the rule that is approximately proportional ( ) to H in adults; that is, when for some constant . Quetelet's Rule ( ), transformed and renamed in the twentieth century to body mass index ( ), is now a globally applied phenotypic descriptor of adiposity at the individual and population level. The journey from footnote to ubiquitous adiposity measure traveled through hundreds of scientific reports and many more lay publications. The recent introduction of highly effective pharmacologic weight loss treatments has heightened scrutiny of BMI's origins and appropriateness as a gateway marker for diagnosing and monitoring people with obesity. This contemporary context prompted the current report that delves into the biological and mathematical paradigms that underlie the simple index . Students and practitioners can improve or gain new insights into their understanding of BMI's historical origins and quantitative underpinning from the provided overview, facilitating informed use of BMI and related indices in research and clinical settings.

摘要

阿道夫·凯特勒1835年的经典著作《论人》中的一个脚注描述了他对成年男性和女性体重( )如何随身高( )变化的代数分析。凯特勒利用每种性别12名矮个子和12名高个子受试者的数据,确立了一个规律:在成年人中, 与H大致成正比( );也就是说,对于某个常数 ,当 时, 。凯特勒法则( )在20世纪经过变换并重新命名为体重指数( ),如今已成为全球用于描述个体和群体肥胖程度的表型指标。从脚注到无处不在的肥胖度量指标,这一过程历经了数百篇科学报告以及更多的通俗出版物。近期高效药物减肥治疗方法的引入,使得人们对BMI作为诊断和监测肥胖人群的入门指标的起源和适用性进行了更严格的审视。这种当代背景促使了本报告的撰写,该报告深入探讨了构成这个简单指标 基础的生物学和数学范式。学生和从业者可以通过所提供的概述,改进或获得对BMI历史起源和定量基础的新见解,从而在研究和临床环境中更明智地使用BMI及相关指标。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9e12/11611441/524e408e33cd/OBR-26-e13842-g001.jpg

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