Scientific Basis

Every calculation in NutriPlan is grounded in peer-reviewed research. This page explains each formula, its source, and the safety rules we enforce.

1. BMR — Basal Metabolic Rate

We use the Mifflin-St Jeor equation, the most validated formula for general populations, published in the American Journal of Clinical Nutrition in 1990.

Men: BMR = (10 × weight_kg) + (6.25 × height_cm) − (5 × age) + 5

Women: BMR = (10 × weight_kg) + (6.25 × height_cm) − (5 × age) − 161

Source: Mifflin MD, St Jeor ST, Hill LA, Scott BJ, Daugherty SA, Koh YO.

A new predictive equation for resting energy expenditure in healthy individuals.

Am J Clin Nutr. 1990;51(2):241-7. DOI: 10.1093/ajcn/51.2.241

2. TDEE — Total Daily Energy Expenditure

TDEE is estimated by multiplying BMR by an activity factor. This accounts for the energy cost of physical activity beyond baseline metabolism.

TDEE = BMR × Activity Factor
LevelFactorDescription
Sedentary1.20Desk job, no exercise
Lightly Active1.3751–3 days/week light exercise
Moderately Active1.553–5 days/week moderate exercise
Very Active1.7256–7 days/week hard exercise
Extra Active1.90Athlete, physical job

3. Caloric Deficit & Target Calories

Based on the Wishnofsky Rule — approximately 7,700 kcal of energy deficit equals 1 kg of fat loss. This is a widely used clinical heuristic, though actual rates vary with body composition.

Daily deficit = (weight_to_lose_kg × 7,700 kcal) / goal_days

Target calories = TDEE − daily_deficit

Safety Rules (enforced by NutriPlan)

  • Minimum 1,500 kcal/day for men
  • Minimum 1,200 kcal/day for women
  • Warning if daily deficit exceeds 1,000 kcal/day
  • Hard block if daily deficit exceeds 1,200 kcal/day
  • BMI <18.5 with weight-loss goal triggers medical consultation alert

Source: Wishnofsky M.

Caloric equivalents of gained or lost weight.

Am J Clin Nutr. 1958;6(5):542-6. DOI: 10.1093/ajcn/6.5.542

4. Macronutrient Split

NutriPlan uses a weight-loss optimized macro split that prioritizes protein to preserve lean muscle mass during a caloric deficit.

Protein: 30% of target calories ÷ 4 kcal/g (min 0.8g per lb body weight)

Carbohydrates: 40% of target calories ÷ 4 kcal/g

Fat: 30% of target calories ÷ 9 kcal/g

Source: Helms ER, Zinn C, Rowlands DS, Brown SR.

A systematic review of dietary protein during caloric restriction in resistance trained lean athletes.

Int J Sport Nutr Exerc Metab. 2014. DOI: 10.1123/ijsnem.2013-0054

5. BMI — Body Mass Index

BMI is calculated as weight in kilograms divided by height in meters squared. It is a population-level screening tool and does not directly measure body fat percentage.

BMI = weight_kg / (height_m)²

< 18.5

Underweight

18.5 – 24.9

Normal weight

25.0 – 29.9

Overweight

≥ 30.0

Obese

Source: World Health Organization.

Obesity: preventing and managing the global epidemic.

WHO Technical Report Series 894. 2000.

Glossary of Acronyms

TermFull NameDefinition
BMRBasal Metabolic RateCalories your body burns at complete rest to maintain basic functions (breathing, circulation, organ function). Represents ~60–70% of total daily calorie burn.
TDEETotal Daily Energy ExpenditureTotal calories burned per day, including BMR + physical activity + digestion (TEF). This is your true maintenance calorie number.
TEFThermic Effect of FoodEnergy spent digesting and metabolizing food. ~10% of total calories consumed.
BMIBody Mass IndexRatio of weight to height squared. A population-level screening tool — not a direct measure of body fat or health.
kcalKilocalorieThe standard unit of food energy. What people commonly call a 'calorie' on nutrition labels is technically 1 kcal.
EPOCExcess Post-exercise Oxygen ConsumptionElevated calorie burn that continues after intense exercise (especially HIIT). Colloquially called the 'afterburn effect.'
LBMLean Body MassTotal body weight minus fat mass. Includes muscle, bone, organs, and water. Higher LBM = higher BMR.
WHOWorld Health OrganizationUN agency that sets global BMI classification standards.
gGramsUnit of weight used for macronutrient quantities.
ozOuncesImperial unit of weight. 1 oz = 28.35 g.
lbPoundsImperial unit of weight. 1 lb = 0.4536 kg.
ft / inFeet / InchesImperial units of height. 1 ft = 30.48 cm; 1 in = 2.54 cm.

NutriPlan provides educational information based on published research. It is not a substitute for advice from a registered dietitian, nutritionist, or physician. Always consult a qualified healthcare professional before making significant changes to your diet or exercise routine.