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BIMECO/ Bioscience Research Institute - Limb Volumes Professional       
Research Update #1 - Estimating Limb Volume via Circumferential Measurements
       
This issue considers the question of choosing the number of limb circumference measurements to monitor, track and document limb volume changes. Hand and foot volume considerations are discussed in Update #2. If you wish you may go directly to the take home messages

Limb Volume Estimates are Needed to Access and Document Therapy Effectiveness Measurement  and documentation of limb volume changes during the course of lymphedema therapy is an important part of the therapeutic process for the patient, the therapist, the physician and often for reimbursement agencies. The most commonly used method relies on the simple tape measure which is used to systematically measure limb circumferences at strategic sites along the limb. These circumference measurements, sometimes referred to as girth measurements, are then used to calculate the volume of the limb over the region of interest (1). Although this method actually estimates limb volume rather than directly measuring it (2), earlier research studies have shown that, when properly done, the limb volumes that are calculated compare favorably with those that are measured either with water displacement (3) or estimated with more sophisticated automated techniques (4).

Limb Volume Estimates Depend on the Model Used Because a limb is not a nicely defined geometric shape, use of girth measurements to estimate limb volume requires an assumption about the actual shape of the limb. A commonly used model assumes that the limb can be sub-divided into a number of separate segments, each of which, if small enough, can be represented by the geometrical shape known as a frustum. Since the volume of a frustum depends only on its proximal and distal circumferences and the length of the segment between these circumferences, simple tape measure measurements can be used to evaluate the segment's volume. Then, by adding together the calculated volumes of all of the limb's segments, the total volume of the limb can be estimated.

Accuracy of Limb Volume Estimates Depend on the Number of Segments Used Assuming that each circumference measurement could be made precisely and without error, the theoretically best estimate of limb volume would be obtained using the most circumference measurements practically possible. This choice however is not clinically useful because of the time involved for so many measurements. So, how does one determine the minimum number of circumference measurements that are suitable to adequately estimate limb volume? Recent research offers some answers.

Circumference Measurements at 4-6 Centimeter Intervals May Be Optimal Estimates of limb volume using tape measure circumference measurements at 4 cm intervals were compared with estimates made using automated optical methods in a 142 legs and 42 arms in patients with lymphedema (5).  Results showed a strong correlation between these measurement methods; 0.98 for legs to 0.96 for arms. Moreover, the percentage difference between limb volumes estimated by the two methods was less than 5% for legs and less than 7% for arms. Tape measure measures tended to slightly underestimate the volume of both arms and legs. However, in cases of unilateral limb edema (arm or legs) estimates of actual percentage edema were found to be nearly identical for each of method. Arm volumes measured by the "gold-standard" water-displacement method have also been compared with volume estimates using limb circumferences at 3, 6 and 9 cm. intervals in 50 persons with arm lymphedema (6). Results of this research also showed an excellent correlation between methods (0.97-0.98) and, based on considerations of the standard error of the data set, these authors suggested a best arm volume estimate is obtained if circumference measurements are made at six cm intervals.  However, the data also indicated that measurements at 3 cm intervals resulted in lowest (best) value for the limit of agreement between the geometric and water displacement methods. These authors also demonstrated that the geometric frustum model slightly underestimates arm volume. Other workers have recently confirmed the close correspondence between water displacement and cirumference methods for arm volume estimation using 4 cm intervals (7).

Summing Up: The Take Home Messages Estimating limb volumes via circumference measurements applied to the frustum model is probably the most widley used clinical method. Recent research findings, combined with other published information, indicate that for this method, a near optimum compromise between time requirements and accuracy for limb volume estimations is to use intervals of 4-6 centimeters. It is noteworthy that although correspondence between methods is excellent, absolute values of volume obtained using the frustum model tends to be less than that obtained with either water displacement or automated optoelectronic methods. This slight deviation is of little clinical importance since the most important aspect is to monitor, document and report limb volume changes. This is very reliably accomplished using the frustum model. In the past the process of calculating all of the segmental volumes needed to estimate limb volume and keep track of the segment-to-segment and total limb volumes as well as percentage edema changes, was tedious, time consuming and loaded with potential calculation errors. Fortunately, an inexpensive software package is now available that does it all for us automatically!
For those interested, a free trial version can be downloaded.

  We hope that you have found this research update useful. We would appreciate hearing from
  you as to any comments or thoughts you may have regarding future topics of specific interest to you. Any comments may
  be sent to support@limbvolumes.org



Cited References
1. Casley-Smith JR. Measuring and representing peripheral oedema and its alterations. Lymphology. 1994;27:56-70

2. Sitzia J. Volume measurement in lymphoedema treatment: examination of formulae. Eur J Cancer  Care. 1995;4:11-16

3. Tierney S, Aslam M, Rennie K, Grace P. Infrared optoelectronic volumetry: the ideal way to measure limb volume. Eur J Vasc Endovasc Surg. 1996;12:412-417

4. Sukul K, den Hoed PT, Johannes EJ, Van Dolder R, Benda E. Direct and indirect methods for the quantification of leg volume: comparison between water displacement volumetry, the disk model method, and the frustum sign model method, using the correlation coefficient and the limits of agreement. J Biomed Eng. 1993;15:477-480.

5. Mayrovitz HN, Sims N, Macdonald J. Assessment of limb volume by manual and automated methods in patients with limb edema and lymphedema.  Advances in Skin & Wound Care. 2000;13:272-276

6. Sander AP, Hajer NM, Hemenway K, Miller AC. Upper-extremity volume measurements in women with lymphedema: a comparison of measurements obtained via water displacement with geometrically determined volume. Phys Ther 2002;82:1201-1212

7. Karges JR, Mark BE, Stikeleather SJ, Worrell TW. Concurrent validity of upper-extremity volume estimates: comparison of calculated volume derived from girth measurements and water displacement volume. Phys Ther 2003;83:134-145



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Table 1. Comparison of Automated Opteoelectronic vs. Frustum Estimated Limb Volumes
Limbs (N=184)
Automated Volume (ml)
Frustum Model (ml)
Percentage Difference
Correlation Coefficient
Legs (n=142)
7160 +/- 170
6900 +/- 170
4.14 +/- 0.54
0.98
Arms (n=42)
2700 +/- 90
2530 +/- 90
6.97 +/- 1.18
0.96
 Data from reference 5.    Return to text


Last updated 01/31/ 2010