1: Lymphology. 2006 Jun;39(2):95-103. Related Articles, Links

Hand volume estimates based on a geometric algorithm in comparison to water displacement.

Mayrovitz HN, Sims N, Hill CJ, Hernandez T, Greenshner A, Diep H.

College of Medical Sciences, Nova Southeastern University, Ft Lauderdale, Florida 33328, USA. mayrovit@nova.edu

Assessing changes in upper extremity limb volume during lymphedema therapy is important for determining treatment efficacy and documenting outcomes. Although arm volumes may be determined by tape measure, the suitability of circumference measurements to estimate hand volumes is questionable because of the deviation in circularity of hand shape. Our aim was to develop an alternative measurement procedure and algorithm for routine use to estimate hand volumes. A caliper was used to measure hand width and depth in 33 subjects (66 hands) and volumes (VE) were calculated using an elliptical frustum model. Using regression analysis and limits of agreement (LOA), VE was compared to volumes determined by water displacement (VW), to volumes calculated from tape-measure determined circumferences (VC), and to a trapezoidal model (VT). VW and VE (mean +/- SD) were similar (363 +/- 98 vs. 362 +/-100 ml) and highly correlated; VE = 1.01VW -3.1 ml, r=0.986, p<0.001, with LOA of +/- 33.5 ml and +/- 9.9 %. In contrast, VC (480 +/- 138 ml) and VT (432 +/- 122 ml) significantly overestimated volume (p<0.0001). These results indicate that the elliptical algorithm can be a useful alternative to water displacement when hand volumes are needed and the water displacement method is contra-indicated, impractical to implement, too time consuming or not available.

PMID: 16910100 [PubMed - in process]

2: Lymphology. 2005 Mar;38(1):20-7. Related Articles, Links

Foot volume estimates based on a geometric algorithm in comparison to water displacement.

Mayrovitz HN, Sims N, Litwin B, Pfister S.

Department of Physiology, College of Medical Sciences, Nova Southeastern University, Ft. Lauderdale, Florida 33328, USA. mayrovit@nova.edu

Assessing lower extremity limb volume and its change during and after lymphedema therapy is important for determining treatment efficacy and documenting outcomes. Although leg volumes may be determined by tape measure and other methods, there is no metric method to routinely assess foot volumes. Exclusion of foot volumes can under- or overestimate therapeutic progress. Our aim was to develop and test a metric measurement procedure and algorithm for practicing therapists to use to estimate foot volumes. The method uses a caliper and ruler to measure foot dimensions at standardized locations and calculates foot volume (VM) by a mathematical algorithm. VM was compared to volumes measured by water displacement (Vw) in 30 subjects (60 feet) using regression analysis and limits of agreement (LOA). Vw and VM (mean +/- sd) were similar 857 +/- 150 ml vs. 859 +/- 154 ml, and were highly correlated VM = 1.00Vw + 1.67 ml, r = 0.965, p < 0.001. The LOA for absolute volume differences and percentages were respectively +/- 79.6 ml and +/- 9.28 %. These results indicate that this metric method can be a useful alternative to water displacement when foot volumes are needed, but the water displacement method is contraindicated, impractical to implement, too time consuming or is not available.

Publication Types:
PMID: 15856683 [PubMed - indexed for MEDLINE]

3: Phys Ther. 2002 Dec;82(12):1201-12. Related Articles, Links
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Upper-extremity volume measurements in women with lymphedema: a comparison of measurements obtained via water displacement with geometrically determined volume.

Sander AP, Hajer NM, Hemenway K, Miller AC.

Department of Physical Therapy and Human Movement Sciences, The Feinberg School of Medicine, Northwestern University, 645 N Michigan Ave, Suite 1100, Chicago, IL 60611, USA. t-sander@northwestern.edu

BACKGROUND AND PURPOSE: Upper-extremity (UE) swelling following breast cancer treatment is a frequent manifestation of lymphedema. In order to document outcomes from lymphedema treatments, reliable, valid, and practical measurements of UE swelling are necessary. The purpose of this study was to compare geometric methods of determining UE volumes with water displacement methods. SUBJECTS: The edematous hand, forearm, and upper arm of 50 women with UE swelling secondary to lymphedema were measured. METHODS: Upper-extremity volumes were determined by water displacement using arm and hand volumeters. Displaced water was weighed to determine volume. Circumferential girth measurements were taken. Width and depth measurements of the hand were taken with a tension-controlled caliper. Geometric volume formulas for a cylinder, frustum, rectangular solid, and trapezoidal solid were used to calculate volumes of the arm and hand at different measurement intervals. RESULTS: Intraclass correlation coefficients [2,1] for interrater and intrarater reliability of all water and geometric measurements of the arm and hand were.91 to.99 and.92 to.99, respectively. Water displacement correlated with geometric measurements in the arm (r=.97-.98) and in the hand (r=.81-.91). The limits of agreement (LOA) indicated that water and geometric measurements of arm volume differed by 479 to 655 mL. Scatterplots of the LOA data indicated in that geometric volumes were either larger or smaller than water volumes. The smallest standard error of measurement for the arm measurements was for the 6-cm frustum method at 115 mL; for the hand measurements, the smallest standard error of measurement was for the frustum method at 16 mL. DISCUSSION AND CONCLUSION: Volume of an edematous UE calculated by geometric formulas correlated strongly with volume determined by water displacement. Although strongly correlated, the measurements obtained by the 2 methods did not agree.

PMID: 12444879 [PubMed - indexed for MEDLINE]

4: Phys Ther. 2003 Feb;83(2):134-45. Related Articles, Links
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Concurrent validity of upper-extremity volume estimates: comparison of calculated volume derived from girth measurements and water displacement volume.

Karges JR, Mark BE, Stikeleather SJ, Worrell TW.

Department of Physical Therapy, Division of Health Sciences, School of Medicine, University of South Dakota, 414 E Clark St, Vermillion 57069, USA. jkarges@usd.edu

BACKGROUND AND PURPOSE: The volume of all limbs can be determined by water displacement methods or calculations derived from girth measurements. The purpose of this study was to determine the concurrent validity of calculated volume and water displacement volume measurements. SUBJECTS: Both upper extremities of 14 women with lymphedema were measured. METHODS: Volumetric measurements were taken with a volumeter, and circumferential measurements were taken with a tape measure. Calculated volume was determined by summing segment volumes derived from the truncated cone formula. Pearson product moment correlations, paired t tests, and linear regression tests were used to assess relative association and absolute differences between calculated and actual volumes. RESULTS: The correlation coefficient for calculated volume versus upper extremity minus fingers (UE-F) water displacement volume was.99. Paired t tests showed differences between calculated volume and UE-F water displacement volume (t=-3.88, mean difference=-95.62 mL), and the linear regression slope was 0.83 with an intercept of 255.28 mL. DISCUSSION AND CONCLUSION: Calculated volume measurements were highly associated with measurements based on water displacement; therefore, clinicians should feel confident in using either calculated volume or water displacement volume. The differences, however, indicated that the measures were not interchangeable. Thus, clinicians should not mix or substitute measurement methods with a single patient or in a single study.

PMID: 12564949 [PubMed - indexed for MEDLINE]

5: Phys Ther. 2006 Feb;86(2):205-14. Related Articles, Links
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Reliability and validity of arm volume measurements for assessment of lymphedema.

Taylor R, Jayasinghe UW, Koelmeyer L, Ung O, Boyages J.

School of Population Health, Faculty of Health Sciences, University of Queensland, Herston, Queensland, Australia.

BACKGROUND AND PURPOSE: Arm lymphedema following breast cancer surgery is a continuing problem. In this study, we assessed the reliability and validity of circumferential measurements and water displacement for measuring upper-limb volume. SUBJECTS: Participants included subjects who had had breast cancer surgery, including axillary dissection--19 with and 22 without a diagnosis of arm lymphedema--and 25 control subjects. METHODS: Two raters measured each subject by using circumferential tape measurements at specified distances from the fingertips and in relation to anatomic landmarks and by using water displacement. Interrater reliability was calculated by analysis of variance and multilevel modeling. Volumes from circumferential measurements were compared with those from water displacement by use of means and correlation coefficients, respectively. The standard error of measurement, minimum detectable change (MDC), and limits of agreement (LOA) for volumes also were calculated. RESULTS: Arm volumes obtained with these methods had high reliability. Compared with volumes from water displacement, volumes from circumferential measurements had high validity, although these volumes were slightly larger. Expected differences between subjects with and without clinical lymphedema following breast cancer were found. The MDC of volumes or the error associated with a single measure for data based on anatomic landmarks was lower than that based on distance from fingertips. The mean LOA with water displacement were lower for data based on anatomic landmarks than for data based on distance from fingertips. DISCUSSION AND CONCLUSION: Volumes calculated from anatomic landmarks are reliable, valid, and more accurate than those obtained from circumferential measurements based on distance from fingertips.

Publication Types:
PMID: 16445334 [PubMed - indexed for MEDLINE]

6: J Biomed Eng. 1993 Nov;15(6):477-80. Related Articles, Links

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.

Kaulesar Sukul DM, den Hoed PT, Johannes EJ, van Dolder R, Benda E.

Department of General Surgery/Traumatology, University Hospital Rotterdam Dijkzig, The Netherlands.

Volume changes can be measured either directly by water-displacement volumetry or by various indirect methods in which calculation of the volume is based on circumference measurements. The aim of the present study was to determine the most appropriate indirect method for lower leg volume calculation using water displacement volumetry as a 'golden standard'. For 20 male volunteers, age range: 20-35 years, the volume of both lower legs was determined directly by water-displacement volumetry, and indirectly by the frustum sign model method and the disc model method. Calculation of the correlation coefficient and the limits of agreement showed that water-displacement volumetry and the disc model method are interchangeable (r = +0.99, mean +/- 2s = -45 +/- 78 ml), whereas this does not hold for the frustum sign model (r = +0.93, mean +/- 2s = 521 +/- 238 ml). In the clinical situation volume measurement can be valuable for monitoring of the severity of oedema or haematoma occurrence after surgery or severe trauma. This non-invasive diagnostic aid may be a valuable adjuvant means of diagnosis for several volume dependent disorders of the extremities.

PMID: 8277752 [PubMed - indexed for MEDLINE]

7: Arch Phys Med Rehabil. 1992 Jan;73(1):60-3. Related Articles, Links

Development and clinical evaluation of a computerized limb volume measurement system (CLEMS).

Bednarczyk JH, Hershler C, Cooper DG.

G.F. Strong Centre, British Columbia Rehabilitation Society, Vancouver, Canada.

Limb edema is a common problem in both rehabilitation and acute care settings. In the past, attempts to determine an optimal management strategy for limb edema have been limited by the lack of accurate, noninvasive, rapid, clinical tools for quantifying limb volumes. The water displacement method is slow and difficult to use in the clinical setting. Furthermore, water displacement requires that the limb be in a dependent position. The tape measure method is unreliable because it is difficult to position the tape measure on a swollen limb. The development and evaluation of a new tool called the computerized limb volume measurement system (CLEMS) is described. The shape and volume of a limb or limb segment can be rapidly measured by CLEMS, independent of limb position. The limb volumes generated by CLEMS were compared to volumes determined by water displacement and by a tape measure. Volumes of eighteen legs (plaster, nonedematous and edematous) were measured using CLEMS, water displacement, and the tape measure. In all cases, the CLEMS and water displacement methods showed close agreement. CLEMS was found to be a reliable and valid new method of determining limb volume; whereas, the tape measure method was found to be invalid. This new tool allows clinicians to measure the efficacy of different treatment strategies in the management of limb edema.

PMID: 1729976 [PubMed - indexed for MEDLINE]

8: Lymphology. 2003 Sep;36(3):140-3. Related Articles, Links

Limb volume estimates based on limb elliptical vs. circular cross section models.

Mayrovitz HN.

Department of Physiology, College of Medical Sciences, Nova Southeastern University, Fort Lauderdale, Florida, USA. mayrovit@Comcast.net

Limb volumes, as would be estimated by the widely used right circular truncated cone model (right circular frustum), were analytically compared to volume estimates that would be obtained if limbs were represented by an elliptical cross section. A general expression for the ratio of circular to elliptical limb segmental volumes was developed in terms of the ratio of minimum to maximum limb radial dimensions. Analytical results showed that in general the elliptical representation resulted in smaller calculated limb volumes, with the difference increasing as the ratio of minimum to maximum limb dimension became smaller. However, differences in estimated limb volume between circular and elliptic representations were less than 5% if the minimum to maximum limb dimensions at measured circumference sites were greater than 0.64. It is concluded that although limbs deviate from circularity, the added work of determining minimum and maximum dimensions for each circumference measured, as is needed to employ elliptical models, is warranted only for extreme differences in limb radial dimensions or possibly for research purposes.

PMID: 14552033 [PubMed - indexed for MEDLINE]

9: Lymphology. 2004 Sep;37(3):127-33. Related Articles, Links

Validity and intra- and interobserver reliability of an indirect volume measurements in patients with upper extremity lymphedema.

Meijer RS, Rietman JS, Geertzen JH, Bosmans JC, Dijkstra PU.

Department of Rehabilitation, University Hospital Groningen, The Netherlands.

We investigated a method of indirect volume measurement that utilized surface measurements and a simplified formula derived from the formula for a frustum (Sitzia's method) to determine limb volumes in patients with breast cancer-related lymphedema of the upper extremity. Repeated measurements of upper-extremity limb volume were obtained by two observers on both upper extremities of 30 women with unilateral lymphedema. Volume was calculated using a simplified formula and compared with water displacement method as a gold standard. Indirect volume determination using Sitzia's method is comparable with the water displacement method, has comparable intra- and interobserver reliabilities, and can be used for diagnosis and follow up measurements of lymphedema. Indirect volume determination using surface measurements at 8 cm intervals is only suitable for follow up measurements. The methods should not be used interchangeably.

Publication Types:
PMID: 15560108 [PubMed - indexed for MEDLINE]

10: Eur J Vasc Endovasc Surg. 1996 Nov;12(4):412-7. Related Articles, Links

Comment in:
Infrared optoelectronic volumetry, the ideal way to measure limb volume.

Tierney S, Aslam M, Rennie K, Grace P.

Department of Surgery, Royal Postgraduate Medical School, Hammersmith Hospital, London, U.K.

OBJECTIVES: The aim of the study was to compare a novel infrared optoelectronic system (Perometer) of limb volume measurement with water displacement and two indirect measurement techniques. DESIGN: A prospective experimental study. METHODS: In 10 healthy male volunteers (20 limbs) we compared limb volume measurements obtained by water displacement, infrared perometry, the disc model method and the frustrum method. In a further 17 patients with swollen limbs due to lymphatic (9 limbs) or venous (11 limbs) disease, perometry was compared to the disc model method and the frustrum method only. RESULTS: In normal limbs, mean +/- S.D. limb volume using water displacement was 1802 +/- 268 ml. Perometer values agreed almost exactly (1809 +/- 262 ml, r = 0.97, variation +/- 7% by limits of agreement) but both the disc (1923 +/- 306 ml, r = 0.90, variation +/- 14%) and frustrum (1905 +/- 372 ml, r = 0.72, variation +/- 28%) methods significantly overestimated limb volumes (p < 0.05 (ANOVA, Fisher's Least Significant Difference)). In diseased limbs perometer, disc method and frustrum method results were 2415 +/- 995 ml, 2494 +/- 969 ml, and 2413 +/- 870 ml representing variation of +/- 17% and +/- 23% for disc method and frustrum method respectively compared to perometry. CONCLUSIONS: Perometry is a novel, extremely accurate and easy method for assessing limb volume. It provides more accurate results than traditional indirect measurement of limb volume and potentially is a very useful clinical and research tool.

Publication Types:
PMID: 8980428 [PubMed - indexed for MEDLINE]

11: Arch Phys Med Rehabil. 2001 Dec;82(12):1639-44. Related Articles, Links
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Measurement of upper extremity volume in women after axillary dissection for breast cancer.

Megens AM, Harris SR, Kim-Sing C, McKenzie DC.

School of Rehabilitation Sciences, Faculty of Medicine, University of British Columbia, Vancouver, Canada.

OBJECTIVE: To determine if 2 methods of calculating upper extremity volume (using arm circumferences) can substitute for water displacement volumetry. DESIGN: Interrater and test-retest reliability and limits of agreement for volume measures. SETTING: University. PARTICIPANTS: Twenty-five women at risk for lymphedema who had undergone axillary lymph node dissection surgery for breast cancer. INTERVENTIONS: Circumference and volume measurements of both upper extremities were taken by 2 physical therapists at an initial visit and by 1 of the therapists 1 week later. MAIN OUTCOME MEASURES: Intraclass correlation coefficients (ICCs) were calculated to analyze measurement reliability. Pearson's product-moment correlation coefficient (r) was used to evaluate the relationship between volumetry and calculated truncated cone volumes. Limits of agreement were calculated to determine the level of agreement between the 2 measurement methods. RESULTS: Interrater and test-retest reliability ICCs for circumferential and volumetric data were .99 and .99, respectively. Pearson's r values were .93 and .97 for the single truncated cone and the summed truncated cone volume calculations, respectively. Limits of agreement (mean +/- 2 standard deviations) were -52 +/- 334mL and -40 +/- 234mL, respectively, between volumetry and the single truncated cone and summed truncated cone calculations. CONCLUSIONS: Calculated and volumetric measurements in this population are both reliable and closely related, but do not agree with each another, and thus should not be used interchangeably. Copyright 2001 by the American Congress of Rehabilitation Medicine and the American Academy of Physical Medicine and Rehabilitation

PMID: 11733875 [PubMed - indexed for MEDLINE]

12: Breast Cancer Res Treat. 2006 Jun 3; [Epub ahead of print] Related Articles, Links
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Validation of the inverse water volumetry method: a new gold standard for arm volume measurements.

Damstra RJ, Glazenburg EJ, Hop WC.

Department of Dermatology, Phlebology and Lymphology, Hospital Nij Smellinghe, Compagnonsplein 1, 9202, NN Drachten, The Netherlands, r.j.damstra@nijsmellinghe.nl.

BACKGROUND: No consensus exists with respect to a commonly accepted and standardized method for measuring arm volumes in patients with lymphedema. Knowing the exact volume in (potential) lymphedemic arms and comparing this volume with healthy arms is important to detect the first signs of lymphedema and to study the effects of treatment. METHODS: A new apparatus, based upon the principle of measuring shortness of water, was developed to measure arm volumes. This measuring-method, inverse water volumetry, was prospectively validated in patients, suffering from lymphedema after complete or partial mastectomy for primary breast cancer. Healthy and lymphedemic arm were measured 3 times: twice by nurse A (A1 and A2) and once by nurse B (B). Subsequently, these differences in volumes were compared with differences in volumes obtained by the Herpertz method, which is based upon circumferential measurement. RESULTS: In every patient at every occasion volume of the lymphedemic arm was bigger than the corresponding volume of the control arm. Mean volumes of healthy arms were 3958(A1), 3966(A2) and 3961(B) ml respectively. Mean volumes of lymphedemic arms were 4721(A1), 4752(A2) and 4773(B) ml respectively, volume B being significantly different from volume A1. Volume difference of edemic arms minus control arms was not significant between measurements (A1 vs. A2 and A1 vs. B, respectively), while this difference was significant (A1 vs. B) using the Herpertz method. CONCLUSION: Inverse water volumetry is an easy measuring device with a high inter- and intra-observer agreement. The small but significant volume increase of lymphedemic arms in time compared to the constant volumes of control arms is as well indicative for the accuracy of the method as for the volume of lymphedemic arms to increase when no therapeutic garment is carried.

PMID: 16752072 [PubMed - as supplied by publisher]

13: Lymphology. 1995 Jun;28(2):57-63. Related Articles, Links

Limb circumference measurement for recording edema volume in patients with filarial lymphedema.

Pani SP, Vanamail P, Yuvaraj J.

Vector Control Research Centre (Indian Council of Medical Research), Indira Nagar, Pondicherry.

To evaluate the impact of therapy and monitor the progression of filarial lymphedema, it is necessary to measure accurately the changes in limb edema volume. In this communication, we report the reliability of circumference measurements for recording volume changes. The measurements included the distal parts of limbs important for filarial lymphedema. In a series of 100 patients with unilateral lower limb lymphedema, both water displacement and circumference measurements were done. The results showed a significant correlation (r = 0.91; P = 0.0000) between the actual volume and that estimated by circumference measurement. Not only could volume of edema be calculated by circumference measurements, but the simple measurement of average circumference difference between the affected and normal limb accurately reflected the volume of actual edema.

PMID: 7564492 [PubMed - indexed for MEDLINE]

14: Lymphology. 1994 Jun;27(2):56-70. Related Articles, Links

Comment in:
Measuring and representing peripheral oedema and its alterations.

Casley-Smith JR.

Henry Thomas Laboratory (Microcirculation Research), University of Adelaide, South Australia.

Correlation was very good between 1,500 simultaneous measurements of peripheral lymphoedema (arms and legs) by water displacement and by calculating volumes from circumferences, but in the legs "circumferences" gave only half the absolute amount of oedema when compared with "water displacement." For 150 arms, however, each method provided almost identical values for oedema. Arms when oedematous are fairly uniformly swollen; legs, on the other hand, are typically more oedematous distally. Circumference measurements accordingly include portions of nearly normal (i.e., minimally or nonoedematous) leg; water displacement by contrast measures only the oedematous, distal region. When only the circumferences of the lower legs were taken into consideration, the amount of oedema as measured by water displacement were almost identical. Nonetheless, measuring the proximal, more normal, or nonoedematous regions of the leg is critical for assessing treatment by physical methods (e.g., complex physical therapy). The various equations representing oedema can be greatly affected by errors in the initial, final or normal measured volumes. Relative errors differ as these variables alter. Many of the equations are non-linear, i.e., small alterations in one variable may produce widely differing results depending on the other variables. Problems in the use of an abnormal contralateral or "normal" limb as a reference point are discussed. The best equation to use in bilateral oedema is "Difference in Volume/Initial Volume"; in unilateral oedema the best equation is "Difference in Oedema/Normal". "Change in Oedema" i.e., "Difference in Oedema/Initial Oedema" is best derived from the Means of other equations.

PMID: 8078362 [PubMed - indexed for MEDLINE]

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