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. 2021 Dec 6;9:795364. doi: 10.3389/fped.2021.795364

Table 4.

Equations for the prediction of energy expenditure in the pediatric population with specific clinical situations.

References N Clinical condition Age range (R2) Predictive equation Calorimeter Notes
– Country where it was developed and/or population
– Coding of variables of the equation
– Body composition assessment method
Williams et al. (41) 6 B 14 G Sickle cell anemia 5–17 years Harris-Benedict modified
Boys
• REE (kcal/d) = [66.5 + (13.75 × W) + (5 × H) – (6.76 × A)] × (1.3278–0.0242 × Hb)
Girls
• REE (kcal/d) = [655 + (9.56 × W) + (1.85 × H) – (4.68 × A)] × (13595–0.0242 × Hb)
FAO/OMS modified
Boys
3–10 years → REE (kcal/d) = [(22.7 × W) + 495] × (1.3074–0.0309 × Hb)
10–18 years → REE (kcal/d) = [(17.5 × W) + 651] × (1.3074–0.0309 × Hb)
Girls
3–10 years → REE (kcal/d) = [(22.5 × W) + 499] × (1.4775–0.0309 × Hb)
10–18 years → REE (kcal/d) = [(12.2 × W) + 746] × (1.4775–0.0309 × Hb)
CPX-MAX-D cardiopulmonary gas exchange system (Medical Graphics) • Memphis, TN
• Body composition was determined by BIA
• Hb = hemoglobin (g/dl)
Buchowski et al. (42) 18 B 19 G Sickle cell anemia 14–18 years Equation 1
Both (R2 = 0.879)
• REE (kJ/d) = 3882 + (101 × FFM) – (439.8 × G=girls=) – (112.9 × Hb)
Equation 2 (simple)
Boys (R2 = 0.760)
• REE (kcal/d) = 1305 + (18.6 × W) – (55.7 × Hb)
Girls (R2 = 0.855)
• REE (kcal/d) = 1100 + (13.3 × W) – (30.2 × Hb)
Not reported • Nashville, TN
• Gender: 0 boys and 1 girls
• Body composition was determined by hydrodensitometry.
• Hb = hemoglobin (g/dl)
Scalfi et al. (43) 36 Anorexia nervosa 13–17 years Adolescents
(R2 = 0.484)*
• BEE (kcal/d) = 313.4 + (100.8 × W)
• BEE (kcal/d) = 92.8 × W
Canopy system: MMC Horizon, SensorMedics, Anaheim, USA • Italy
Bertoli et al. (44) 49 B 73 G Spinal muscular atrophy type 1 Under 10 years Spontaneous breathing
(R2 = 0.630)
• REE (kcal/d) = (35 × W) + (75 × tx nusinersen) + 219
(R2 = 0.630)
• REE (kcal/d) = (6 × SL) + (75 × tx nusinersen) + 10
(R2 = 0.620)
• REE (kcal/d) = (24 × TL) + (97 × tx nusinersen) + 179
Mechanical ventilation (R2 = 0.22)
• REE (kcal/d) = (14 × TL) +200 × tx nusinersen) + 190
VMAX Sensor Medics 29 • Caucasian population
• Tx nusinersen: 1 = Yes
• SL = supine length in centimeters (cm)
• TL = tibia length in centimeters (cm)
Goran et al. (45) 56 Burn injury 4–14 years Resting energy expenditure
• REE (kcal/d) = 1.29 × PBEE
Energy required to ensure 95% of patients receive enough energy
• TEE (kcal/d) = [1.55 × PBEE + (2.39 × PBEE0.75)]
Beckman metabolic cart (Fullerton, CA) • Texas
• PBEE= prediction of basal energy expenditure (kcal)
Mayes et al. (46) 48 Burn injury Under 3 years and 5–10 years Patients younger than 3 years of age
(R2 = 0.71)
• REE = 108 + (68 × PW) + (3.9 × % burn)
(R2 = 0.68)
• REE = 179 + (66 × PW) + (3.2 × % third-degree burn)
Patients 5 to 10 years of age
(R2 = 0.70)
• REE = 818 + (37.4 × PW) + (9.3 × % burn)
(R2 = 0.67)
• REE = 950 + (38.5 × PW) + (5.9 × third-degree burn)
Delta Trac, SensorMedics, Yorba Linda, CA • Cincinnati, OH
• Applicable for burns covering 10 to 50% of BSA
• PW = preburn weight in kg
• Percentage of BSA with 3rd degree burns (%)
White et al. (47) 58 B 42 G Critical illness and ventilation 54 ± 53 months Equation 1 (R2 = 0.898)
• EE (kJ/d) = (20 × A) + (31 × W) + (151 × WAZ score) + (279 × Temp) + (122 × days UCI) – 9200 + constant
Equation 2 (simplified) (R2 = 0.867)
• EE (kJ/d)= (17 × A) + (48 × W) + (292 × Temp) – 9677
Deltatrac II (Datex-Engstrom, Helsinki, Finland) • Brisbane, Australia
• Age in months
• WAZ score= Weight-for-age Z-score
• ICU days = the number of days since admission to the ICU (if > 4, then multiplied by 4)
• Temp = body temperature (°C)
Constant= + 0 (head injury); + 105 (postsurgical procedure);−512 (respiratory disease); + 98 (other);−227 (sepsis)
Meyer et al. (48) 175 Critical illness and ventilation 3–16 years Equation A (R2 = 0.833)
<3 years → REE (kcal/d) = 309 + (48.4 × W) + (1.22x A) – (0.377 × W2) – 283.7 + (6.2 × A) + Dxcat – (Dxcatw × W)
3–10 years → REE (kcal/d) = 309 + (48.4 × W) + (1.22 × A) – (0.377 × W2) + 259 – (7.6 × A) + Dxcat – (Dxcatw × W)
11–18 years → REE (kcal/d) = 309 + (48.4 × W) + (1.22x A) – (0.30.377 × W2) + diagnosis coefficient* - (diagnosis coefficient × W)
Equation B (R2 = 0.839)
<3 years → REE (kcal/d) = (87.5 × W) – 66 + Dxcat – (0.727 × W2) – (33 × W)
3–10 years → REE (kcal/d) = (87.5 × W) + 20 + Dxcat – (0.727 × W2) – (37.4 × W)
11–18 years → REE (kcal/d) = (87.5 × W) – 984 + Dxcat – (0.727 × W2)
Equation C (R2 = 0.829)
<3 years → REE (kcal/d) = (88 × W) + 92 – (0.7 × W2) – (37 × W)
3–10 years → REE (kcal/d) = (88 × W) + 110 – (0.7 × W2) – (37 × W)
11–18 years → REE (kcal/d) = (88 × W) – 910 – (0.7 × W2)
Deltatrac II NMN-200 (Datex Ohmeda, Helsinki, Finland) • London, UK
Equation A
Dxcat = Diagnostic category
Multiorgan failure = 226
Respiratory failure = 79
Central nervous system = 33
Surgery = 0
Dxcatw = Diagnosis category + weight in kg
Multiorgan failure = 18
Respiratory failure = 8
Central nervous system = 10
Surgery = 0
Equation B
Dxcat = Diagnostic category
Multiorgan failure = 143
Respiratory failure = 168
Central nervous system = 114
Cardiovascular and surgery = 142
Liver disease = 0
Mehta et al. (49) 72 Critical illness and ventilation Under 18 years REE (kcal/d) = 5.534 × VCO2 ×1,440 Vmax_ Encore (Viasys Healthcare, Loma Linda, CA) • Boston, MA
• VCO2= Volume of carbon dioxide (L/min)
Jhang and Park (50) 32 B 38 G Critical illness and mechanical ventilation 5 −17 years (R2 = 0.865)
• EE (kcal/d) = −321.264 + (72.152 × W) – (1.396 × W2) + (5.668 × H) + organ dysfunction*
CARESCAPE Monitor B650; GE Healthcare Finland Oy, Helsinki, Finland • Korea
*hematologic= 76.699
*neurologic = 87.984
Pierro et al. (51) 24 B 22 G Gastrointestinal surgery Under 6 months (R2 = 0.84)*
• REE (cal/min) = −74.436 + (34.661 × W) + (0.496 × Heart rate in beats/min) + (0.178 × A)
Taylor Servomex, Sussex, UK • Liverpool, UK
• Age in days
• Conversion from cal/min to kcal/kg/d—the result of the equation is multiplied by 1.44 and divided by the weight in kg
Mayes et al. (52) 15 Stevens-Johnson syndrome and toxic epidermal necrolysis 9–12 years (R2 = 0.73)
• REE (kcal/d) = (24.6 × PW) + (wound size (%) ×4.1) + 940
DeltaTrac, SensorMedics, Yorba Linda, CA • Cincinnati, OH
• PW = Preinjury weight (kg)
• Wound size (%) = percentage of the wound in relation to the total body surface area
Salas et al. (53) 37 Parenteral nutrition 2–7 years (R2 = 0.974)*
• REE (kcal/d) = (54.4 × FFM) + (0.095 × Creatinine/Weight) + 4.67
MMC Horizon (SensorMedics Metabolic Measurement Cart, Beckman Instruments, Inc., Anaheim, CA) • Paris, France
• Body composition measured by Brook's equation and Siri's equation based on skinfold measurements
• Creatinine/weight in mmol/kg/d
Moukarzel et al. (54) 12 B 14 G Parenteral nutrition 38–62 months Equation 1 (R2 = 0.98)
• REE (kcal/d) = (56.6 × FFM) + 97.9
Equation 2 (R2 = 0.92)
• REE (kcal/d) = (45.6 × W) + 136
Equation 3 (R2 = 0.985)
• REE (kcal/d) = (68.9 × FFM) + (3.3 × FM)
MMC Horizon metabolic cart (Beckman Instruments Inc., Anaheim, CA) • Paris, France
• Body composition measured by Brook's equation and Siri's equation based on skinfold measurements

BEE, basal energy expenditure; REE, resting energy expenditure; TEE, total energy expenditure; EE, energy expenditure, B, boys; G, girls; W, weight (kg); H, height (cm); A, age (years)*; FFM, fat-free mass (kg); FM, fat mass; G, gender (sex), as reported in the original equation; kcal, kilocalories; kJ, kilojoules; cal, calories.

*

To standardize the units, the equations with Pearson's R values were converted by squaring this coefficient to obtain the value of R2.