ArticleslgStudy

mathematics

Harris–Benedict equation

Harris–Benedict equation is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Harris–Benedict equation rather than just read about it. In short: The Harris–Benedict equation (also called the Harris-Benedict principle) is a method used to estimate an individual's basal metabolic rate (BMR). The estimated BMR value may be multiplied by a number that corresponds to the individual's activity level; the resulting number is the approximate daily kilocalorie intake to maintain current body weight.

Key takeaways

  • Harris–Benedict equation belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Harris–Benedict equation to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Harris–Benedict equation from memory before moving on to harder problems.

Reference excerpt

The Harris–Benedict equation (also called the Harris-Benedict principle) is a method used to estimate an individual's basal metabolic rate (BMR). The estimated BMR value may be multiplied by a number that corresponds to the individual's activity level; the resulting number is the approximate daily kilocalorie intake to maintain current body weight. The Harris-Benedict equation may be used to assist weight loss — by reducing the kilocalorie intake number below the estimated maintenance intake of the equation.

Calculating the Harris-Benedict BMR The original Harris–Benedict equations were published in 1918 and 1919.

where M is the subject's mass, H is the subject's height, T is the subject's age, a m = 13.7516 k g − 1 k c a l d − 1 {\displaystyle a_{m}=13.7516{kg}^{-1}{kcal}\ d^{-1}} , b m = 5.0033 c m − 1 k c a l d − 1 {\displaystyle b_{m}=5.0033{cm}^{-1}{kcal}\ d^{-1}} , c m = 6.755 k c a l a − 1 d − 1 {\displaystyle c_{m}=6.755{kcal}\ a^{-1}d^{-1}} , d m = 66.473 k c a l d − 1 {\displaystyle d_{m}=66.473{kcal}\ d^{-1}} , a f = 9.5634 k g − 1 k c a l d − 1 {\displaystyle a_{f}=9.5634{kg}^{-1}{kcal}\ d^{-1}} , b f = 1.8496 c m − 1 k c a l d − 1 {\displaystyle b_{f}=1.8496{cm}^{-1}{kcal}\ d^{-1}} , c f = 4.6756 k c a l a − 1 d − 1 {\displaystyle c_{f}=4.6756{kcal}\ a^{-1}d^{-1}} , and d f = 655.0955 k c a l d − 1 {\displaystyle d_{f}=655.0955{kcal}\ d^{-1}} . The coefficients were revised by Roza and Shizgal in 1984.

The 95% confidence range for men is ±213.0 kcal/day, and ±201.0 kcal/day for women. The coefficients were again revised by Mifflin and St Jeor in 1990:

History The Harris-Benedict equation sprang from a study by James Arthur Harris and Francis Gano Benedict, which was published in 1919 by the Carnegie Institution of Washington in the monograph A Biometric Study Of Basal Metabolism In Man. A 1984 revision improved its accuracy. Mifflin et al. published an equation more predictive for modern lifestyles in 1990. Later work produced BMR estimators that accounted for lean body mass.

Issues in dietary use As the BMR equations do not attempt to take into account body composition, identical results can be calculated for a very muscular person, and an overweight person, who are both the same height, weight, age and gender. As muscle and fat require differing amounts of calories to maintain, the TEE estimates will not be accurate for such cases. The paper behind the latest update (Mifflin et al) to the BMR formula states all participants in their study fall within the 'normal' and 'overweight' body mass index (BMI) categories, and so the results also do not necessarily apply to those in the 'underweight' or 'obese' BMI categories.

See also Food energy Resting metabolic rate Institute of Medicine Equation Schofield equation

Cited sources

Worked examples

Example 1 — a first encounter with Harris–Benedict equation

Start with the simplest possible case. Write down what Harris–Benedict equation claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Harris–Benedict equation before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Harris–Benedict equation ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Harris–Benedict equation

In research
Harris–Benedict equation appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Harris–Benedict equation in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Harris–Benedict equation is common in secondary-school and first-year university syllabi. It links to neighbouring topics Equations, Mathematics in medicine, Nutrition, so understanding it makes those chapters shorter.
In everyday life
Look for Harris–Benedict equation outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Harris–Benedict equation” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Harris–Benedict equation in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Harris–Benedict equation means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Harris–Benedict equation out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Harris–Benedict equation in simple terms?

The Harris–Benedict equation (also called the Harris-Benedict principle) is a method used to estimate an individual's basal metabolic rate (BMR). The estimated BMR value may be multiplied by a number that corresponds to the individual's activity level; the resulting number is the approximate daily…

Why does Harris–Benedict equation matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Harris–Benedict equation?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Harris–Benedict equation.

Tags

  • Equations
  • Mathematics in medicine
  • Nutrition

Keep exploring