<p>A new body mass index, termed Consistent Body Mass Index CBMI=<InlineEquation ID="IEq1"><EquationSource Format="TEX">\(\:\sqrt{m/{h}^{3}}\)</EquationSource></InlineEquation>, is developed from first principles. Customarily used Body Mass Index (BMI<InlineEquation ID="IEq2"><EquationSource Format="TEX">\(\:=m/{h}^{2}\)</EquationSource></InlineEquation>) or its variant Tri-ponderal Mass Index (TMI<InlineEquation ID="IEq3"><EquationSource Format="TEX">\(\:=m/{h}^{3}\)</EquationSource></InlineEquation>) or other measures serving to the purpose of classifying the anthropometric status of a person have repeatedly been demonstrated to be unsatisfactory in various aspects. A new index inclusive of all ages, body sizes, and sexes is therefore needed. A non-dimensional hence scalable index CBMI, which correlates well with waist-to-height ratio, <InlineEquation ID="IEq4"><EquationSource Format="TEX">\(\:w/h\)</EquationSource></InlineEquation>, is developed from fundamental relations. Correlation levels of CBMI and TMI against waist-to-height ratio <InlineEquation ID="IEq5"><EquationSource Format="TEX">\(\:w/h\)</EquationSource></InlineEquation> are compared for measurements comprising participants ranging from 1-day-old to 75-year-old male and female infants, children, and adults. Waist-to-height ratio <InlineEquation ID="IEq6"><EquationSource Format="TEX">\(\:w/h\)</EquationSource></InlineEquation>, which correlates well, <InlineEquation ID="IEq7"><EquationSource Format="TEX">\(\:r=0.84\)</EquationSource></InlineEquation>, with CBMI is a reliable measure of the anthropometric status of a person. New criteria and relevant charts, based on <InlineEquation ID="IEq8"><EquationSource Format="TEX">\(\:w/h\)</EquationSource></InlineEquation> and CBMI, are established for classifying anthropometric status levels. CBMI can also be used as an estimator for ideal body weight for a definite CBMI value and a given height <InlineEquation ID="IEq9"><EquationSource Format="TEX">\(\:h\)</EquationSource></InlineEquation> from <InlineEquation ID="IEq10"><EquationSource Format="TEX">\(\:m={\left(\text{C}\text{B}\text{M}\text{I}\right)}^{2}{h}^{3}\)</EquationSource></InlineEquation>.</p>

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Development of a consistent body mass index

  • Serdar Beji,
  • Nezihe Kizilkaya Beji,
  • Ümmü Mutlu

摘要

A new body mass index, termed Consistent Body Mass Index CBMI=\(\:\sqrt{m/{h}^{3}}\), is developed from first principles. Customarily used Body Mass Index (BMI\(\:=m/{h}^{2}\)) or its variant Tri-ponderal Mass Index (TMI\(\:=m/{h}^{3}\)) or other measures serving to the purpose of classifying the anthropometric status of a person have repeatedly been demonstrated to be unsatisfactory in various aspects. A new index inclusive of all ages, body sizes, and sexes is therefore needed. A non-dimensional hence scalable index CBMI, which correlates well with waist-to-height ratio, \(\:w/h\), is developed from fundamental relations. Correlation levels of CBMI and TMI against waist-to-height ratio \(\:w/h\) are compared for measurements comprising participants ranging from 1-day-old to 75-year-old male and female infants, children, and adults. Waist-to-height ratio \(\:w/h\), which correlates well, \(\:r=0.84\), with CBMI is a reliable measure of the anthropometric status of a person. New criteria and relevant charts, based on \(\:w/h\) and CBMI, are established for classifying anthropometric status levels. CBMI can also be used as an estimator for ideal body weight for a definite CBMI value and a given height \(\:h\) from \(\:m={\left(\text{C}\text{B}\text{M}\text{I}\right)}^{2}{h}^{3}\).