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Research & Methodology

The science behind every calculation in Nourli

Last evidence review: April 4, 2026

Key Points

  • Every formula and constant is traced to peer-reviewed research or clinical guidelines
  • 22 cited papers from journals including Science, BJSM, JADA, and WHO
  • 33 safety warnings protect against extreme or potentially harmful goals
  • Calculations are reviewed against the latest evidence periodically
  • This is general wellness guidance -- not a substitute for medical advice

1.Our Approach

Nourli calculates your daily nutrition targets using established scientific formulas from peer-reviewed research. We believe you deserve to know exactly what science informs your goals and why we chose each formula.

Our calculation engine uses a two-tier system. Tier 1 uses your basic biometrics (age, sex, height, weight, activity level) with validated equations. Tier 2 optionally incorporates training details, daily steps, and body fat percentage for improved accuracy using MET-based calculations from the 2024 Compendium of Physical Activities.

Every constant, coefficient, and threshold in our calculations can be traced back to a specific paper, guideline, or clinical consensus listed on this page. Where exact values are interpolated from broader evidence (such as body-composition-based deficit limits), we note this transparently.

2.Methodology

Basal Metabolic Rate (BMR)

We use the Mifflin-St Jeor equation as the default BMR calculator, validated as the most accurate predictive equation for the general population by a 2005 systematic review (Frankenfield et al.). When body fat percentage is known, we switch to the Katch-McArdle equation, which uses lean body mass for superior accuracy in athletic populations.

Mifflin-St Jeor: 10 x weight(kg) + 6.25 x height(cm) - 5 x age + 5 (male) or -161 (female)

Katch-McArdle: 370 + 21.6 x lean body mass(kg)

Total Daily Energy Expenditure (TDEE)

We use a hybrid approach: without fitness data, standard activity multipliers estimate TDEE. With fitness data, we separate daily lifestyle activity (NEAT) from training (calculated using MET values from the 2024 Compendium of Physical Activities). The thermic effect of food is adjusted based on your macro distribution.

Protein Targets

Protein recommendations adapt to your goal and training status. During weight loss, targets range from 1.6 g/kg (no training) to 2.4 g/kg (strength training), based on the 2024 meta-analysis and Helms et al. 2014. For weight gain, 1.4-2.0 g/kg depending on training. Maintenance uses 1.2-1.6 g/kg. Adults 65+ receive a 20% increase per ESPEN/PROT-AGE guidelines for sarcopenia prevention.

Target Calories

Calorie targets are derived from TDEE plus/minus an energy adjustment based on your goal. Deficits are capped based on body composition (leaner individuals get smaller deficits to preserve muscle). Surpluses are capped at 500 kcal/day based on research showing larger surpluses primarily increase fat gain without additional muscle benefit.

Micronutrients & Hydration

Fiber follows the Dietary Guidelines for Americans (14g per 1,000 calories). Sodium uses the FDA guideline of 2,300 mg/day, increased for very active lifestyles. Sugar follows the WHO recommendation of <10% of calories. Water intake is based on the IOM adequate intake of 35 ml/kg/day with sex-based minimums (2,500ml males, 2,000ml females per EFSA), adjusted for activity level and training.

3.Research Papers

Below are the 23 peer-reviewed papers, clinical guidelines, and authoritative sources that inform our calculations. Each entry includes the specific finding we rely on and how it is applied.

Basal Metabolic Rate

Equations to estimate resting energy expenditure

A new predictive equation for resting energy expenditure in healthy individuals

1990

Mifflin MD, St Jeor ST, Hill LA, Scott BJ, Daugherty SA, Koh YO. American Journal of Clinical Nutrition

The Mifflin-St Jeor equation predicts resting metabolic rate within 10% of measured values in 70-82% of individuals, outperforming Harris-Benedict and other equations across diverse populations.

Used for: Primary BMR calculation (default equation)DOI: 10.1093/ajcn/51.2.241

Comparison of predictive equations for resting metabolic rate in healthy nonobese and obese adults: a systematic review

2005

Frankenfield D, Roth-Yousey L, Compher C. Journal of the American Dietetic Association

Systematic review confirming Mifflin-St Jeor as the most reliable equation, predicting RMR within 10% for more individuals than Harris-Benedict, Owen, or WHO equations.

Used for: Validation that Mifflin-St Jeor is the most accurate equation for general useDOI: 10.1016/j.jada.2005.02.005

Nutrition, Weight Control, and Exercise

1977

Katch FI, McArdle WD

The Katch-McArdle equation (370 + 21.6 x lean body mass in kg) shows superior accuracy in athletic populations with correlation coefficients of 0.85-0.92 against indirect calorimetry.

Used for: BMR calculation when body fat percentage is known (Katch-McArdle formula)

Daily energy expenditure through the human life course

2021

Pontzer H, Yamada Y, Sagayama H, et al.. Science

Analysis of 6,421 individuals across 29 countries found fat-free-mass-adjusted metabolism is stable from ages 20-60, then declines ~0.7% per year after 60. This challenged the conventional belief in middle-age metabolic decline.

Used for: Understanding metabolic age adjustmentsDOI: 10.1126/science.abe5017

Energy Expenditure

Activity multipliers, MET values, and thermic effect of food

2024 Adult Compendium of Physical Activities: A third update of the energy costs of human activities

2024

Ainsworth BE, Haskell WL, Herrmann SD, et al.. Journal of Sport and Health Science

Comprehensive update with 1,114 physical activities (912 measured, 202 estimated) across 22 categories. Specific MET values used: resistance training 3.5-6.0, HIIT 7.0-11.0, running 7.5-10.5.

Used for: MET values for training calorie calculationsDOI: 10.1016/j.jshs.2023.10.010

The effects of high protein diets on thermogenesis, satiety and weight loss: a critical review

2004

Halton TL, Hu FB. Journal of the American College of Nutrition

TEF percentages: protein 20-30%, carbohydrates 5-10%, fat 0-3%. Higher protein diets increase thermogenesis and satiety compared to lower protein diets.

Used for: Thermic effect of food (TEF) percentages by macronutrientDOI: 10.1080/07315724.2004.10719381

Non-exercise activity thermogenesis (NEAT)

2002

Levine JA. Best Practice & Research Clinical Endocrinology & Metabolism

NEAT varies by up to 2000 kcal/day between individuals. Separating NEAT from exercise thermogenesis provides more accurate TDEE estimates for active individuals.

Used for: Separating lifestyle NEAT from exercise activity thermogenesis in Tier 2 calculationsDOI: 10.1016/S1521-690X(02)00227-5

Protein Requirements

Optimal protein intake for different goals and populations

A systematic review, meta-analysis and meta-regression of the effect of protein supplementation on resistance training-induced gains in muscle mass and strength in healthy adults

2018

Morton RW, Murphy KT, McKellar SR, et al.. British Journal of Sports Medicine

Meta-analysis of 49 RCTs (n=1,863): protein supplementation beyond 1.62 g/kg/day resulted in no further resistance training-induced gains in fat-free mass. Age reduces and training experience increases the efficacy of protein supplementation.

Used for: Optimal protein for muscle gain (1.6 g/kg ceiling for muscle protein synthesis)DOI: 10.1136/bjsports-2017-097608

A systematic review of dietary protein during caloric restriction in resistance trained lean athletes: a case for higher intakes

2014

Helms ER, Zinn C, Rowlands DS, Brown SR. International Journal of Sport Nutrition and Exercise Metabolism

Systematic review of lean, resistance-trained athletes in caloric restriction: protein needs are 2.3-3.1 g/kg fat-free mass, scaled upward with severity of caloric restriction and leanness.

Used for: Protein targets during caloric deficit (2.3-3.1 g/kg FFM)DOI: 10.1123/ijsnem.2013-0054

Evidence-based recommendations for optimal dietary protein intake in older people: a position paper from the PROT-AGE Study Group

2013

Bauer J, Biolo G, Cederholm T, et al. (PROT-AGE Study Group). Journal of the American Medical Directors Association

Healthy older adults need 1.0-1.2 g/kg/day protein; those who are ill or malnourished need 1.2-1.5 g/kg/day. Higher intakes help prevent sarcopenia (age-related muscle loss).

Used for: Protein recommendations for adults 65+ (sarcopenia prevention)DOI: 10.1016/j.jamda.2013.05.021

Changes in kidney function do not differ between healthy adults consuming higher- compared with lower- or normal-protein diets: a systematic review and meta-analysis

2018

Devries MC, Sithamparapillai A, Brimble KS, Banfield L, Morton RW, Phillips SM. Journal of Nutrition

Meta-analysis of 28 studies (n=1,358): high-protein intakes do not adversely influence kidney function (GFR) in healthy adults. All rates consistent with normal kidney function.

Used for: Safety validation for high protein intake in healthy adultsDOI: 10.1093/jn/nxy197

Enhanced protein intake on maintaining muscle mass, strength, and physical function in adults with overweight/obesity

2024

Various (systematic review). Clinical Nutrition ESPEN

Protein intakes above approximately 1.3 g/kg/day represent a meaningful tipping point for muscle retention during energy restriction in adults with overweight/obesity.

Used for: Protein threshold for muscle retention during weight lossDOI: 10.1016/j.clnesp.2024.05.010

Energy Balance & Weight Change

Caloric deficit/surplus, weight loss rates, and body composition

Caloric equivalents of gained or lost weight

1958

Wishnofsky M. American Journal of Clinical Nutrition

Established that approximately 7,700 kcal (3,500 kcal/lb) corresponds to one kilogram of body weight, derived from adipose tissue being ~87% lipid at 9,000 kcal/kg.

Used for: Energy content of body weight change (7,700 kcal/kg)

Effect of two different weight-loss rates on body composition and strength and power-related performance in elite athletes

2011

Garthe I, Raastad T, Refsnes PE, Koivisto A, Sundgot-Borgen J. International Journal of Sport Nutrition and Exercise Metabolism

Athletes losing weight slowly (0.7% body weight/week) gained lean body mass while losing fat, compared to the fast-loss group (1.4% BW/week) which lost significantly more lean mass.

Used for: Evidence that slower weight loss preserves more lean massDOI: 10.1123/ijsnem.21.2.97

Nutrition recommendations for bodybuilders in the off-season: a narrative review

2019

Iraki J, Fitschen P, Espinar S, Helms E. Journal of the International Society of Sports Nutrition

Recommended caloric surplus of 300-500 kcal/day for muscle gain. More conservative surpluses (200-300 kcal) may be more appropriate for highly trained athletes.

Used for: Caloric surplus recommendations for lean muscle gain (300-500 kcal/day)DOI: 10.1186/s12970-019-0284-2

Effect of small and large energy surpluses on strength, muscle, and skinfold thickness in resistance-trained individuals

2023

Ribeiro AS, Nunes JP, Schoenfeld BJ, et al.. Nutrients

Athletes consuming ~600 kcal/day surplus had fivefold greater fat mass increase with no additional strength or lean body mass gains compared to smaller surplus group.

Used for: Evidence that larger surpluses increase fat, not muscle, gainDOI: 10.3390/nu15204472

Micronutrients & Hydration

Fiber, sodium, sugar, and water intake guidelines

Dietary Guidelines for Americans, 2020-2025

2020

U.S. Department of Agriculture and U.S. Department of Health and Human Services. DietaryGuidelines.gov (9th Edition)

Recommends 14g fiber per 1,000 calories (38g/day men, 25g/day women), sodium limit of 2,300 mg/day for adults, and identifies fiber as a nutrient of concern due to widespread under-consumption.

Used for: Fiber (14g/1000 kcal), sodium (2300 mg/day), general dietary guidanceSource

Guideline: Sugars intake for adults and children

2015

World Health Organization. WHO Publication

Strong recommendation to reduce free sugars to <10% of total energy intake. Conditional recommendation for further reduction to <5% (~25g/day) for additional health benefits including reduced dental caries risk.

Used for: Free sugar intake limit (<10% of calories, ideally <5%)Source

Scientific opinion on dietary reference values for water

2010

European Food Safety Authority (EFSA). EFSA Journal

Adequate intake: 2.0L/day for females, 2.5L/day for males at moderate physical activity. Based on observed intakes with desirable urine osmolarity values.

Used for: Water intake recommendationsDOI: 10.2903/j.efsa.2010.1459

Dietary Reference Intakes for Water, Potassium, Sodium, Chloride, and Sulfate

2005

Institute of Medicine (IOM). National Academies Press

Adequate intake for water: 30-40 ml/kg/day. Carbohydrate RDA of 130g/day based on average brain glucose utilization, though the brain can also use ketones for up to 70% of energy needs.

Used for: Water (30-40 ml/kg/day), carbohydrate RDA (130g brain glucose)Source

Safety & Medical Thresholds

Minimum intakes, maximum rates, and health risk boundaries

Gallstone formation and weight loss

2006

Festi D, Colecchia A, Orsini M, et al.. World Journal of Gastroenterology

Weight loss exceeding 1.5 kg/week significantly increases gallstone risk with 15-25 fold higher incidence compared to general obese population. Gallstones can form within 4 weeks of rapid weight loss.

Used for: Maximum safe weight loss rate (>1.5 kg/week increases gallstone risk)DOI: 10.3748/wjg.v12.i7.1028

Very low-calorie diets

1993

National Institute of Diabetes and Digestive and Kidney Diseases (NIDDK). NIDDK Health Information

VLCDs (<800 kcal/day) require medical supervision. Conventional hypocaloric diets of 1,200-1,500 kcal/day for females and 1,500-1,800 kcal/day for males are the standard clinical thresholds.

Used for: Minimum calorie thresholds (VLCDs require medical supervision)Source

Low-fat diets and testosterone in men: systematic review and meta-analysis of intervention studies

2021

Whigham LD, et al. (meta-analysis). Journal of Steroid Biochemistry and Molecular Biology

Systematic review found low-fat diets significantly decreased total testosterone, free testosterone, and dihydrotestosterone in men compared to high-fat diets.

Used for: Minimum dietary fat for hormonal healthDOI: 10.1016/j.jsbmb.2021.105878

4.Safety Mechanisms

Our calculation engine includes multiple layers of safety protections. These are not optional features -- they are hard-coded limits that cannot be bypassed, even with custom settings.

Minimum calorie floors

1,200 kcal/day for females, 1,500 kcal/day for males -- our system will never recommend below these clinical thresholds.

Body composition-aware deficits

Leaner individuals receive smaller calorie deficits (10-15%) compared to those with higher body fat (up to 30%), preserving muscle mass.

Maximum pace rejection

Weight loss goals exceeding 2 kg/week are rejected entirely due to medical risks including gallstones, electrolyte imbalance, and severe muscle loss.

Protein optimization

Protein targets are automatically increased during weight loss to preserve lean tissue, based on peer-reviewed evidence.

Fat minimum enforcement

Dietary fat is never set below 0.5 g/kg body weight to protect hormonal health, regardless of macro distribution preferences.

33 safety warnings

A comprehensive warning system with critical, warning, and informational alerts covers extreme diets, aggressive timelines, and nutritional edge cases.

5.Limitations

We are transparent about what our calculations can and cannot do:

  • BMR equations predict resting metabolic rate within approximately 10% of measured values in 70-82% of individuals. Individual variation exists.
  • Activity multipliers are clinical consensus estimates, not individually validated. Your actual TDEE may differ.
  • The 7,700 kcal/kg energy density of body weight is an approximation. Actual values vary dynamically, especially in early weight loss.
  • Protein recommendations are optimized for fitness-conscious adults. Medical conditions (kidney disease, metabolic disorders) require professional guidance.
  • Micronutrient targets (fiber, sodium, sugar, water) follow population-level guidelines. Individual needs may vary based on health conditions and medications.
  • These calculations are for adults 18+ only. They are not validated for children, adolescents, pregnant or lactating women, or individuals with eating disorders.

6.Review Process

Our calculation engine is periodically reviewed against the latest scientific evidence. This process involves:

  • Searching PubMed, Google Scholar, and clinical guidelines databases for new meta-analyses and systematic reviews
  • Cross-referencing our constants against updated compendiums (such as the Compendium of Physical Activities)
  • Verifying safety thresholds against current clinical practice guidelines from organizations including WHO, FDA, ESPEN, and ISSN
  • Running our full test suite (287+ automated tests) to verify any updates maintain calculation integrity

The date at the top of this page reflects when our calculations were last verified against current evidence. If you are a researcher or healthcare professional and believe any of our calculations should be updated, please contact us.

Questions About Our Methodology?

We welcome feedback from researchers, healthcare professionals, and users.

Contact Us

support@nourli.health