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Volume 87, Issue 8, Pages 1091-1099 (August 2006)


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Isometric Muscle Torque in Children 5 to 15 Years of Age: Normative Data

Meta Nyström Eek, PT, MScCorresponding Author Informationemail address, Anna-Karin Kroksmark, PT, MSc, Eva Beckung, PT, PhD

Abstract 

Nyström Eek M, Kroksmark A-K, Beckung E. Isometric muscle torque in children 5 to 15 years of age: normative data.

Objective

To establish reference values of arm and leg muscle strength as measured by isometric torque production in healthy children.

Design

Measurement of isometric muscle strength in healthy children.

Setting

Public school.

Participants

Healthy children (N=149; 76 boys, 73 girls) ages 5 to 15 years.

Interventions

Not applicable.

Main Outcome Measures

Isometric torque values of 12 arm and leg muscle groups of healthy children as measured by a handheld dynamometer.

Results

Normative data were obtained for children 5 to 15 years of age. There was an increase in torque with age and weight and a strong correlation with both age and weight. There were few differences between boys and girls. Equations for predicted torque taking into account age, weight, and sex were calculated. The agreement between examiners was excellent.

Conclusions

Studies on growing children require comparison to healthy (normal) children to assess the amount of deviation from normal and to be able to draw conclusions of change over time. The reference values for torque in combination with a predicted value based on the child’s age, weight, and sex make it possible to compare over time and between subjects and provide a tool for evaluation of physical status and efficacy of therapy.

Article Outline

Abstract

Methods

Measurement Procedure

Statistical Methods

Results

Patient Characteristics

Muscle Strength

Comparison between different positions

Interrater reliability

Discussion

Conclusions

Acknowledgment

References

Copyright

MUSCLE WEAKNESS IS RECOGNIZED as one of the factors contributing to disability in persons having various diagnoses. In neuropediatric medicine, muscle weakness has always been obvious in myelomeningocele1 and in progressive diseases such as Duchenne’s muscular dystrophy.2 In recent years, muscle weakness also has been recognized in cerebral palsy.3, 4, 5

For physiotherapists, it is important to follow and quantify muscle strength both with a view to choosing the correct treatment or training method and also to evaluating the effects of therapy.6 Not only physiotherapy interventions such as training of motor performance and direct strength training but also other treatments such as medication and surgery can affect muscle strength.7

Muscle strength can be estimated and measured using different methods, ranging from observation without equipment to laboratory examinations with isokinetic instruments.8, 9 In clinical practice, the most common method is manual muscle testing (MMT).10 However, the sensitivity to detecting changes in muscle strength with MMT is poor, especially in grades 4 and 5.11, 12 A portable, hand-held dynamometer (HHD) has been shown to be a reliable and easy-to-use method to measure muscle strength in clinical practice.13, 14 An HHD provides a measurement of isometric contraction. Two types of measurement techniques are described.15 The make test is characterized by the examiner holding the dynamometer in a stationary position with the subject pushing against the dynamometer. During the break test, the examiner pushes the dynamometer against the subject’s limb until the subject’s maximal effort is overcome and the joint gives way. The make test has been shown to have higher reliability than the break test.13 Reliability is higher when testing arm muscles than leg muscles,16 and higher when testing the affected than the nonaffected side in patients with hemiparesis.17 It is of great importance that the examiner has sufficient muscle strength and is capable in stabilizing the HHD.

In a clinical test context, Bohannon15 describes muscle strength: “what we are measuring is the maximum short duration voluntary force or torque brought to bear on the environment … it represents the final output of the central nervous system … the sum of agonist torque minus antagonist restraint.”15(p188) Torque is the product when a force is applied round a pivot point. It is defined as: torque is equal to force multiplied by lever arm (the force perpendicular to the lever arm, the lever arm being the distance between the pivotal axis and the point where the force is applied). The Systèm International unit of torque is newton meters. In the human body, joints act as pivot points.

To obtain repeated, reliable measurements, it is necessary to standardize the procedure for children and adolescents with respect to position and stabilization of the patient, placement of the device, instruction, and encouragement of the patient.6, 8 As described above, the force measured on the HHD depends on the distance from the joint center,18 and thus the positioning of the HHD is a potential source of measurement error. To obtain comparable measurements one must either put the device at the same distance from the joint or to measure the distance (lever arm) and calculate the torque (force by distance).8, 19 It is often preferable to put the HHD at the distal end of the measured segment. In growing children, this leads to a change in distance from the joint center, which makes the latter method with calculation of torque more suitable.

To determine if muscle weakness is present in a child, reference values in typically developing children are needed. It has been shown that muscle strength in normal children is highly correlated with age, height, and weight.20 Normative data are despite this often only presented by age.20, 21 A child with a disability, however, does not always fit into the curves of normal growth, which makes comparisons with age data difficult for these groups.

The aim of this study was to establish reference values for isometric muscle strength in terms of torque in upper and lower extremities and in relation to both age and body weight in healthy children.

Methods 

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A total of 149 children (76 boys, 73 girls) 5 to 15 years old participated. Written consent was obtained from the parents, along with information about the child’s health status. The children had no known diseases affecting muscle strength according to their parents’ statements. An additional 41 children received but did not reply to the letter of invitation and 25 children said no to participation in the study.

Measurement Procedure 

We measured height using a measuring rod on the wall and weight was measured on an electronic scale. Anthropometric data were compared with normative data for Swedish children used in the school health care system.22 Hand dominance was assessed when the children wrote their name.

We measured muscle strength using a hand-held electronic dynamometera (fig 1). The dynamometer can measure both traction and compression with a maximum force of about 550N and a precision of 0.5N. The dynamometer was calibrated with known weights before and after the study. We tested the nondominant side, as was done in a previous study.21 A study on healthy adults showed that upper-extremity muscle force values were different between sides but that lower-extremity muscles were not,23 so nondominant side was based on the hand dominance. Eight muscle groups in the leg and 4 in the arm were measured (table 1). The procedure was standardized for every muscle group, subject position, dynamometer position, and stabilization of subject. We used positions previously published3, 20, 21 with minor adjustments. We added measurement of hip flexors and extensors in a second position, which in clinical practice we have found useful for stronger patients. Four of the muscle groups were measured in 2 different positions (elbow extensors, hip extensors and flexors, knee flexors).


View full-size image.

Fig 1. Measurement of hip extension with the Chatillon dynamometer. Lever arm indicated with ×.


Table 1.

Muscle Groups

Muscle GroupPositionStabilizationResistanceLever Arm From
Shoulder abductors
Sitting

Shoulder abducted 90°, elbow flexed, opposite hand in knee

Humerus distallyAcromial process
Elbow extensors 1
Prone

Shoulder abducted 90°, elbow flexed 90°

Lower part of humerusForearm distallyLateral humeral epicondyle
Elbow extensors 2
Supine

Shoulder adducted, elbow flexed 90°, forearm in neutral

HumerusForearm distallyLateral humeral epicondyle
Elbow flexors
Supine

Shoulder adducted, elbow flexed 90°, forearm in supination

ShoulderForearm distallyLateral humeral epicondyle
Wrist dorsiflexors
Supine

Shoulder adducted, elbow extended, forearm in pronation, fingers extended

ForearmDorsum of handUlnar styloid process
Hip extensors 1
Supine with legs outside the couch

Not tested foot on the floor

Hold on to benchFemur distallyGreater trochanter
Hip extensors 2SupineHold on to benchFemur distallyGreater trochanter
Hip flexors 1SittingHold on to benchFemur distallyGreater trochanter
Hip flexors 2
Supine

Hip and knee flexed 90°

Hold on to benchFemur distallyGreater trochanter
Hip abductors
Supine

Hip and knee extended

Hold on to bench

Stabilization of the other leg

Femur distallyGreater trochanter
Hip adductors
Supine

Hip and knee extended

Not tested knee flexed

Hold on to benchFemur distallyGreater trochanter
Knee extensorsSittingHold on to benchShank distallyLateral knee joint
Knee flexors 1SittingHold on to benchShank distallyLateral knee joint
Knee flexors 2
Prone

Knee flexed 90°

Hold on to benchShank distallyLateral knee joint
Ankle dorsiflexors
Supine

Hip and knee extended, ankle 0°

Hold on to benchDorsum of footLateral malleolus
Ankle plantarflexors
Sitting

Knee extended

Hold on to benchMetatarsal headsLateral malleolus

NOTE. Description of position and stabilization of subject, position of the dynamometer’s resistance to the body movement (arrows), and description of point for measuring lever arm.

We started with the tests in sitting position where the child could familiarize with the procedure and practice, leg first then arm muscles. This was followed by testing in supine and prone position. Three attempts were made for each muscle group with the make test technique, where resistance is gradually built up for about 5 seconds. Time for rest was given between trials and we varied between measurements of leg and arm to avoid fatigue. Encouragement to maximum effort was given in a standardized way. The maximum result for each muscle group was used. To allow as long a lever arm as possible, at a location where a strong pressure on the skin did not hurt and prevent a maximal contraction, the HHD was placed distally at the segment tested at a place that was comfortable for the subject (see table 1, fig 1). The position of the HHD head was marked on the skin. The lever arm was measured with a tape measure using bony landmarks (acromial process, lateral humeral epicondyle, ulnar styloid process, greater trochanter, lateral knee joint, lateral malleolus) and the position of the center of the HHD head. Torque was calculated in newton meters. The procedure was performed for 30 to 45 minutes.

A special device was made for measuring ankle plantarflexion. The subject was seated with extended knees and with 1 belt around the hips and 1 around the foot at the level of metatarsal heads. The dynamometer, set in traction mode, was attached between the 2 belts. A piece of wood was placed under the child’s foot inside the belt, to press comfortably on.

The measurements of muscle strength were performed by 3 physical therapists. Three muscle groups (hip flexion, knee extension, knee flexion) were tested by 2 examiners during the same session, to determine interrater reliability.

Statistical Methods 

Pearson product-moment coefficient of correlation was used for comparison between torque with age and weight, and for comparison of the muscle groups tested in 2 different positions. We used the t test for comparisons between boys and girls and for measurements of muscle groups tested in 2 different positions. Significance levels were set to .05.

For intertester reliability we used intraclass correlation coefficient (ICC), 2-way random-effects model. Correlation coefficients were graded according to Fleiss24: less than 0.4 is poor, 0.4 to less than .75 is fair to good, and greater than .75 is excellent.

To get expected (or predicted) torque values for a subject, taking into account age, weight, and sex, we calculated regression equations. This was done with forward stepwise regression for torque using age, weight, and sex as independent variables. Linear regression equations were estimated with data transformed to natural logarithm. The model was set to: ln(torque)=a+b×ln(age)+c×ln(weight)+d×sex.

Statistical tests were done in software packages StatViewb and SPSS.c

Results 

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Patient Characteristics 

Data on weight and height in the children are presented in Table 2, Table 3. Age, height, and weight were within age norms for Swedish children except for 3 girls (5, 8, 11y) who were above the 3 standard deviation (SD) curve for height or weight.22 There were strong correlations between age, height, and weight (table 4). There was no statistically significant difference in height or weight between boys and girls except at the age of 14 and weight of 55kg. Fourteen (9.4%) children were left handed.

Table 2.

Participants’ Height and Weight

SubjectsAge (y)
56789101112131415
Boys (n)676665557185
Girls (n)65766696796
Height (cm)
Boys113.3±5.3120.1±4.5130.4±4.3129.1±3.6137.8±4.7146.2±5.5148.3±10.8154.9±11.6159.4±8.2172.3±5.9172.1±11.8
Girls117.5±8.8120.6±2.3124.2±7.6136.9±8.2135.8±6.0144.7±7.0151.9±7.3154.8±4.4159.7±5.0165.6±5.6167.2±5.4
Weight (kg)
Boys20.1±2.722.6±1.526.2±2.428.1±2.033.0±2.935.8±4.837.1±9.243.9±5.849.0±9.459.2±8.859.3±9.3
Girls22.4±6.522.1±0.723.2±4.333.1±9.029.0±3.638.2±7.837.9±6.144.4±6.247.8±8.857.1±7.657.7±7.3

NOTE. Values are n or mean ± standard deviation (SD).

Statistically significant difference between boys and girls.

Table 3.

Number of Subjects Divided Into Weight Classes

Subjects (n)Weight (kg)
15−2020−2525−3030−3535−4040−4545−5050−5555−6060−6565−7070−75
Boys31212858555814
Girls41361076115542NA

Abbreviation: NA, not applicable.

Statistically significant difference between boys and girls.

Table 4.

Correlation Among Age, Weight, and Height

SubjectsWeightHeight
Age
Boys0.910.95
Girls0.870.93
Weight
Boys1.000.96
Girls1.000.93

Muscle Strength 

There was an increase in torque with age and weight in all muscle groups. The correlation between torque and both age and weight was strong for arm muscles (r range, .79−.90) and leg muscles (r range, .84−.95), except plantarflexors (r range, .66−.71) (all P<.001). There were few differences in torque between boys and girls (figs 2A–D). In the arms, there was a statistically significant difference in elbow extensors (age 7, 9, 14, 15y) and in elbow flexors (age 9 and 14y). In the legs, there was a statistically significant difference in hip abductors and adductors (age 7 and 14y) and knee extensors (age 15y). Mean values ± SD for all muscle groups related to age and weight are presented in Table 5, Table 6, Table 7.


View full-size image.

Fig 2. Mean muscle strength with error bars ±1 SD in elbow flexors: (A) age related, (B) weight related, hip extensors, (C) age related, and (D) weight related.


Table 5.

Mean Age-Related Values for Children 5 to 12 Years Old

Muscle GroupAge
56789101112
Shoulder abductors8.8±2.811.1±2.914.3±5.018.2±3.719.3±4.421.9±5.823.8±4.930.5±6.3
Elbow extensors 18.8±2.611.3±2.911.3±4.015.9±3.718.6±7.316.2±3.819.4±4.526.2±8.4
Elbow extensors 27.1±1.510.3±2.710.0±3.014.8±3.315.7±3.215.9±2.417.1±6.920.5±3.9
Elbow flexors8.5±2.511.7±2.312.9±3.916.5±3.220.0±4.621.6±3.824.3±6.529.4±6.3
Wrist dorsiflexors1.7±0.62.4±0.52.3±0.83.3±1.04.0±1.33.8±0.84.7±1.65.1±1.0
Hip extensors 120.1±6.632.1±11.035.8±16.249.3±11.956.0±16.658.9±14.968.7±22.295.1±31.4
Hip extensors 216.1±3.723.6±5.531.5±11.643.7±12.451.0±13.161.2±19.467.4±16.9105.4±30.5
Hip flexors 115.8±3.924.1±5.527.0±8.938.6±11.546.3±10.654.0±13.862.6±23.273.7±15.7
Hip flexors 216.2±4.423.0±6.026.2±8.135.3±8.939.8±9.545.3±8.050.3±15.264.7±14.5
Hip abductors16.6±4.522.1±4.425.4±5.640.7±11.245.0±9.456.7±13.062.4±18.872.1±18.3
Hip adductors15.5±3.220.7±3.825.5±9.733.6±9.940.9±15.343.0±13.557.6±17.173.2±17.4
Knee extensors21.0±5.826.0±4.030.2±8.545.4±12.142.9±5.961.4±14.963.3±17.074.3±12.7
Knee flexors 115.9±3.520.0±3.822.7±5.632.4±9.433.9±5.546.8±11.648.9±11.662.6±17.0
Knee flexors 212.5±3.616.9±4.317.4±4.024.1±5.129.1±6.734.7±10.236.8±11.747.0±12.9
Ankle dorsiflexors8.1±2.810.6±2.111.7±3.814.4±2.421.3±3.819.9±3.622.5±6.927.1±7.1
Ankle plantarflexors17.3±5.725.8±6.021.1±11.531.8±5.240.2±9.6NDNDND

NOTE. Values are mean newton meters ± SD.

Abbreviations: ND, no data, given that the children were stronger than the device could measure (>500N).

Table 6.

Mean Age-Related Values for Children for Boys and Girls 13 to 15 Years Old

Muscle GroupAge
131415
BoysGirlsBoysGirlsBoysGirls
Shoulder abductors36.5±10.033.9±4.942.8±9.839.0±7.242.2±8.336.6±5.0
Elbow extensors 127.7±4.227.4±9.237.1±8.829.8±8.531.7±9.827.0±7.3
Elbow extensors 225.4±8.923.9±5.533.0±6.925.3±5.031.7±6.023.6±4.8
Elbow flexors35.2±11.933.3±7.846.0±9.235.7±6.147.5±12.934.0±10.6
Wrist dorsiflexors7.2±2.56.1±2.49.1±3.58.0±1.611.9±2.79.4±3.2
Hip extensors 1103.4±44.898.6±26.3134.9±32.2114.6±23.3142.1±35.2141.0±13.0
Hip extensors 2105.9±30.8103.9±23.4138.0±34.1127.6±24.6161.6±15.8144.1±22.3
Hip flexors 185.5±18.984.4±23.1120.4±25.5101.6±22.8124.6±30.5115.0±16.5
Hip flexors 264.5±19.370.2±21.878.9±18.273.0±13.580.4±16.775.8±9.8
Hip abductors82.5±28.582.2±19.0122.3±27.9100.9±15.1120.3±38.2119.0±29.6
Hip adductors83.7±27.785.2±28.5111.9±19.892.8±23.5130.5±36.6110.8±17.0
Knee extensors82.5±18.379.9±13.4110.4±23.297.4±18.5122.1±18.698.0±14.9
Knee flexors 167.9±24.968.2±17.589.2±22.479.3±13.2104.4±36.482.7±9.1
Knee flexors 253.4±9.653.2±20.572.3±19.859.8±12.063.9±16.458.6±10.9
Ankle dorsiflexors31.4±8.427.7±9.134.6±8.532.0±6.540.3±6.934.8±6.6
Ankle plantarflexorsNDNDNDNDNDND

NOTE. Values are mean newton meters ± SD.

Abbreviations: ND, no data, given that the children were stronger than the device could measure (>500N).

Table 7.

Mean Weight-Related Values

Muscle GroupWeight Group (kg)
15−1920−2425−2930−3435−3940−4445−4950−5455−5960−64
Shoulder abductors8.0±2.111.0±2.817.2±3.620.7±3.624.0±6.528.8±5.030.9±6.437.9±5.642.5±8.841.6±8.8
Elbow extensors 19.3±2.210.3±3.414.9±3.217.6±6.619.6±5.223.0±5.126.0±7.927.7±4.634.1±8.436.6±11.1
Elbow extensors 26.8±1.09.3±2.813.7±2.515.6±3.116.1±3.320.5±3.920.8±5.726.9±5.030.9±6.431.9±8.3
Elbow flexors7.2±1.311.0±2.716.9±2.720.2±4.023.9±4.427.8±6.229.7±6.337.6±4.142.5±10.244.6±13.5
Wrist dorsiflexors1.7±0.52.1±0.63.2±0.94.0±1.14.5±1.05.2±1.45.5±1.68.1±2.210.0±2.79.7±4.1
Hip extensors 1ND29.6±11.746.5±10.057.7±14.470.8±25.388.9±33.489.6±20.0125.0±28.7125.4±28.6141.0±32.6
Hip extensors 217.1±4.622.3±6.143.7±8.355.3±12.668.4±24.488.2±22.895.9±29.6127.2±23.6139.3±23.9151.2±35.5
Hip flexors 114.8±2.722.7±6.937.1±9.646.1±9.957.5±14.778.0±17.876.2±18.7104.0±21.2115.7±26.1121.2±21.1
Hip flexors 213.3±2.421.9±5.734.1±4.441.6±8.948.4±12.157.8±11.062.2±15.679.5±16.974.8±12.679.5±19.6
Hip abductors15.6±2.821.3±5.536.9±8.548.3±9.556.6±14.573.3±18.773.9±12.099.4±10.3115.7±17.8129.4±28.7
Hip adductors14.8±2.219.2±4.334.5±7.942.4±13.354.0±16.176.8±32.673.3±18.496.8±17.5100.6±22.3113.7±15.7
Knee extensors18.2±4.625.9±5.539.9±5.746.6±6.660.8±10.673.1±10.079.1±10.3100.3±18.897.4±16.3117.8±14.9
Knee flexors 114.0±2.219.7±4.029.5±5.337.2±7.649.0±11.457.3±7.964.3±12.975.2±18.385.3±15.298.2±22.4
Knee flexors 212.1±3.116.1±4.622.4±5.430.5±6.036.2±8.143.1±10.549.5±14.054.5±7.664.8±13.977.0±19.4
Ankle dorsiflexors6.8±1.410.4±3.015.7±3.620.4±6.220.5±4.224.1±4.828.2±8.234.0±6.335.8±7.434.6±8.4
Ankle plantarflexors15.7±4.425.4±9.026.8±8.440.5±11.8NDNDNDNDNDND

NOTE. Values are mean newton meters ± SD.

Abbreviations: ND, no data, given that the children were stronger than the device could measure (>500N).

Equations for predicted torque with correlation coefficients are presented in table 8. Age and weight were the strongest predictors of torque; sex was included from age of 13. Plantarflexors were not possible to measure in children over the age of 9 years. This was due both to difficulties in stabilizing manually and the maximum measurement range of the HHD.

Table 8.

Equation for 3 Independent Variables and Muscle Strength (Nm) and With Coefficient of Correlation

Muscle GroupRegression EquationR2
ln(shoulder abductors)=−1.00+0.90×ln(age)+0.55×ln(weight)−0.09×(age×sex).797
ln(elbow extensors 1)=−0.92+0.45×ln(age)+0.78×ln(weight)+0.12×(age×sex).774
ln(elbow extensors 2)=−0.95+0.51×ln(age)+0.70×ln(weight)+0.11×(age×sex).823
ln(elbow flexors)=−1.03+0.76×ln(age)+0.64×ln(weight)+0.05×(age×sex).865
ln(wrist dorsiflexors)=−3.68+0.64×ln(age)+1.02×ln(weight)+0.39×(age×sex).709
ln(hip extensors 1)=−0.83+1.05×ln(age)+0.69×ln(weight)+0.04×(age×sex).812
ln(hip extensors 2)=−1.72+1.39×ln(age)+0.71×ln(weight)+0.02×(age×sex).914
ln(hip flexors 1)=−1.41+1.08×ln(age)+0.79×ln(weight)+0.04×(age×sex).898
ln(hip flexors 2)=−0.74+0.80×ln(age)+0.73×ln(weight)+0.04×(age×sex).866
ln(hip abductors)=−1.68+0.86×ln(age)+1.01×ln(weight)+0.03×(age×sex).920
ln(hip adductors)=−1.56+1.09×ln(age)+0.80×ln(weight)+0.07×(age×sex).904
ln(knee extensors)=−0.93+0.55×ln(age)+1.01×ln(weight)+0.03×(age×sex).931
ln(knee flexors 1)=−1.34+0.72×ln(age)+0.95×ln(weight)+0.03×(age×sex).922
ln(knee flexors 2)=−1.25+0.77×ln(age)+0.82×ln(weight)+0.05×(age×sex).888
ln(ankle dorsiflexors)=−1.15+0.82×ln(age)+0.62×ln(weight)+0.01×(age×sex).823

NOTE. Sex is included when age is ≥13 (boy = 1, girl = 0).

Comparison between different positions 

Four muscle groups were tested in 2 different positions (elbow extensors, hip extensors and flexors, knee flexors; see table 1). The correlations were strong between the 2 positions in each muscle group (r range, .90−.93). In hip flexors, knee flexors, and elbow extensors, there was a statistically significant difference between the 2 positions (P<.001) (figs 3A−D).


View full-size image.

Fig 3. Comparison between measurements of a muscle group in 2 different positions: (A) elbow extensors, (B) knee flexors, (C) hip extensors, and (D) hip flexors.


Interrater reliability 

Three muscle groups (hip flexion, knee extension, knee flexion) were tested by 2 examiners in 25 children 6.7 to 13.7 years of age (mean, 11.0±2.2y). There was no statistically significant difference between measurements by the 2 testers and with ICCs (range, .93−.97), which is graded as an excellent correlation. Data are plotted in figures 4A through C.


View full-size image.

Fig 4. Comparison between measurements by 2 different testers: (A) hip flexors, (B) knee extensors, and (C) knee flexors.


Discussion 

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This study presents reference values for maximal isometric torque in normal children 5 to 15 years old, obtained with an HHD. The 2 main objectives were to obtain normative data for torque and to have weight-related reference values. Childhood is an ongoing process of change in many respects. When working with forces and biomechanics, body proportions and mass are of great importance. Almost all musculoskeletal movements in the human body pivot around a joint and exert a torque, and should thus be measured as a torque. Standardization of placement of resistance to body parts is not sufficient for comparison, because this place gives a longer lever arm when the child has grown. The same goes for comparisons between 2 children if they are not of the same height.8, 19 To calculate torque gives a possibility for better comparison over time and between subjects. The method with applying the HHD at a comfortable place distally on the segment and then measure lever arm is also useful when factors such as pain can prevent a maximal contraction.

In our material, there was a strong correlation between torque and both age and weight up to the age of 12, and there were few differences between girls and boys until that same age. This is consistent with findings of other authors.20, 25 There was a tendency from the age of 13 for the boys to be stronger in some of the muscle groups measured, especially in the arm.

A child with a disability may sometimes be small for age, so comparing with age-related reference values may lead to misinterpretation of muscle weakness. In these cases, we recommend the use of equations for predicted torque that take into account age, weight, and sex, and if this is not possible, to use the weight-related reference values.

It is difficult to find 1 position for measuring that is useful for all patients. The ideal position for measuring, from a mechanical viewpoint, is with the measured segment in a position not affected by gravity.8, 15 However, it is very difficult to find stable gravity neutral positions for hip extensors and hip flexors to use for patients that are strong. When measuring small children and children who cannot fully cooperate, it is easier to measure when the child can see what they are doing.6 There may also be problems such as in patients with contractures in the hips who are not able to lie prone. The conclusion from this is that it is useful to have different positions to choose between for measuring, that can be applied for all patients.

In our study, we chose to measure 4 muscle groups in 2 different positions.

Hip extension was tested both prone with the opposite hip extended, and prone with the opposite hip in flexion and with the opportunity to stabilize on the floor. In our study, there was a strong correlation between the positions; some of the children were stronger in 1 position and some in the other. In the first position the child has to be able to extend the hip over 0°.

Hip flexion was tested in sitting and in supine, with the hip in 90° of flexion. We obtained higher values sitting although the subjects were also lifting the extremity against gravity. This may be because it is easier to stabilize in a sitting position for children with normal muscle strength. Elbow extension was tested in prone with the shoulder abducted and in supine with the shoulder adducted. The values were higher in prone where it may be easier to stabilize and also to use other muscle groups to augment the results. Knee flexion was tested in sitting with the hip and knee in 90° of flexion and in prone with the hip extended and knee in 90° of flexion. The higher values were obtained in sitting which is expected with the muscle in a better length and tension position.19 A few children tended to get a cramp in the muscle when tested in prone. We recommend using the positions that are easiest for the patient.

Plantarflexion is vital for locomotion such as walking, running, and jumping. According to Gage,26 the plantarflexors are estimated to account for about 50% of the propulsion in normal walking—forces needed to move the body forward. The ankle plantarflexors are strong, because they have to move the whole body weight and they have a short lever (the foot) to work with. It is difficult to measure this accurately because of the high force and also because of difficulties in stabilizing both the subject and the HHD. The problem with measuring isometric plantarflexor strength manually is addressed by Broström et al27 who measured it using a microprocessor-controlled torque motor and found that isometric values generated with the torque motor were higher than values measured with an HHD, both in healthy children and in children with juvenile idiopathic arthritis. Data on plantarflexors are often not included in published reference materials, which also may indicate that it is difficult to measure. We tried to measure the plantarflexors sitting with a specially constructed belt. This worked well with the younger children but there were stabilizing problems which may account for the variability in results. There was also another problem—our device could measure forces up to 560N, which were sufficient for children up to 8 or 9 years, but older children were too strong for the device. We still find that it is important to measure plantarflexion in patients. Our data are interesting as guidelines for comparison in spite of the fact that they only cover the earlier ages. If it is possible to measure plantarflexion manually, the child is probably weak.

One crucial requirement when testing torque with an HHD is that the tester has to be stronger than the patient; otherwise one is not measuring the maximum force of the patient but of the examiner. The reliability testing was done on muscle groups in the lower extremities because there are higher forces in the legs than in the arms. Previous studies have shown that reliability is higher in the upper extremities.16 Interrater reliability was tested between 2 female testers and was found to be excellent. We interpret this as meaning that our protocol is standardized enough to give the same result with different testers. In our study, the oldest and strongest children could only be tested by the male tester because the female testers were not strong enough to stabilize the HHD. Difficulty in stabilizing manually is also suggested as the cause of lower values when testing hip musculature with an HHD than with a dynamometer anchoring station in a study that tested healthy participants ages 23 to 44 years.28 These problems when testing with an HHD can many times explain the differences in reliability between upper and lower extremities16 and between affected and nonaffected side on hemiparetic adults.17 The limitation with measuring strong muscle groups is, however, seldom a problem when testing children with muscle weakness, so we find the use of an HHD very useful in this patient population.

Conclusions 

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Reference values for torque calculation obtained in this study correlated significantly with age and weight in children 5 to 15 years of age. There were few differences between boys and girls; boys were stronger in some muscle groups after the age of 13. There was a good agreement between examiners.

The study establishes reference values for torque to use in a clinical context. The combination of using torque instead of force and a predicted value based on the child’s age, weight, and sex makes it possible to compare over time and between subjects and provides a tool for evaluation of physical status and efficacy of therapy.

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Acknowledgments 

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We thank Karin Björck and Staffan Nilsson at Swegene Bioinformatics who helped us to construct the regression equations.

References 

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Department of Paediatrics, Queen Silvia Children’s Hospital, Göteborg University, Göteborg, Sweden.

Corresponding Author InformationReprint requests to Meta Nyström Eek, PT, MSc, Regionala barn- och ungdomshabiliteringen, Box 21 062, SE 418 04 Göteborg, Sweden

 Supported by Stiftelsen Petter Silfverskiölds minnesfond.

No commercial party having a direct financial interest in the results of the research supporting this article has or will confer a benefit upon the authors or upon any organization with which the authors are associated.

a Adapted Chatillon dynamometer; Axel Ericson Medical AB, S Vägen 12, 412 54 Gothenburg, Sweden.

b SAS Institute Inc, 100 SAS Campus Dr, Cary, NC 27513.

c SPSS Inc, 233 S Wacker Dr, 11th Fl, Chicago, IL 60606.

PII: S0003-9993(06)00443-6

doi:10.1016/j.apmr.2006.05.012


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