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Variability in effective radiating area at 1 MHz affects ultrasound treatment intensity.


Therapeutic ultrasound Therapeutic ultrasound is a technique that uses high-frequency sound waves (ultrasound) to speed healing in injured joint or muscle tissue. The frequency used is typically 1-3 Mhz.  is commonly used in the treatment of musculoskeletal musculoskeletal /mus·cu·lo·skel·e·tal/ (-skel´e-t'l) pertaining to or comprising the skeleton and muscles.

mus·cu·lo·skel·e·tal
adj.
Relating to or involving the muscles and the skeleton.
 injury to increase tissue temperature and increase healing rates. (1,2) Unfortunately, treatment outcomes have been equivocal EQUIVOCAL. What has a double sense.
     2. In the construction of contracts, it is a general rule that when an expression may be taken in two senses, that shall be preferred which gives it effect. Vide Ambiguity; Construction; Interpretation; and Dig.
. (3) As the practice of physical rehabilitation physical rehabilitation See Physical therapy.  has matured, significant efforts have been made to establish treatment guidelines that can be linked to measurable therapeutic outcomes. As part of this drive to validate treatment protocols, a number of researchers have attempted to quantify tissue heating rates in phantom tissue, (4) muscle, (5-15) and tendon tendon, tough cord composed of closely packed white fibers of connective tissue that serves to attach muscles to internal structures such as bones or other muscles. . (16)

Some clinicians have expressed concern that one widely referenced set of treatment guidelines for tissue heating was established using a single ultrasound head from a single manufacturer (5) and questioned whether published heating guidelines could be applied universally. (4,11,12) In response, studies making direct comparisons among single transducers from different ultrasound manufacturers were performed. (11,12) These experiments demonstrated that individual transducers from different manufacturers may vary up to 61% in their ability to heat tissue. (11,12) The authors of these studies were unable to fully explain the heating differences that they reported.

One potential factor that may account for a portion of the heating discrepancy lies in variability of the true treatment intensity. (17,18) Johns et al (18) have argued that the US Food and Drug Administration (FDA FDA
abbr.
Food and Drug Administration


FDA,
n.pr See Food and Drug Administration.

FDA,
n.pr the abbreviation for the Food and Drug Administration.
) guidelines, (19) which permit large variability in values for total output power (in watts) and effective radiating ra·di·ate  
v. ra·di·at·ed, ra·di·at·ing, ra·di·ates

v.intr.
1. To send out rays or waves.

2. To issue or emerge in rays or waves: Heat radiated from the stove.
 area (ERA, in square centimeters), result in unacceptably large variability in spatial average intensity (SAI, in watts per square centimeter centimeter (sĕn`tĭmē'tər), abbr. cm, unit of length equal to 0.01 meter, the basic unit of length in the metric system. The centimeter is the unit of length in the cgs system. It is approximately equal to 0. ). The FDA guidelines (19) regulate the accuracy of the output power produced, permitting a [+ or -] 20% error band, and they require that manufacturers report an error band for ERA but stop short of dictating what is an acceptable percentage of error. Most manufacturers report a [+ or -] 20% or 25% error for ERA; few manufacturers report an actual measured ERA value for each transducer transducer, device that accepts an input of energy in one form and produces an output of energy in some other form, with a known, fixed relationship between the input and output. .

In our review of how 6 manufacturers used ERA in determining SAI, 5 of the 6 tested a small sample of a larger production batch. (20) If the mean value ERA of the sample falls within the error band for reported ERA, the entire batch of transducers is cleared for sale. All machine software use a standard ERA value to calculate SAI for all transducers. The combination of the reported mean ERA value, rather than the actual ERA, and the error level in output power permitted by the FDA can result in large variations in true SAI generated by the individual transducer. The FDA does not have regulatory guidelines for SAI even though most clinicians base their treatment dose on this metric, (18,19) A manufacturer utilizing a combination of [+ or -] 25% ERA and [+ or -] 20% W permits a theoretical minimum to maximum SAI range of 150% between ultrasound heads while remaining in compliance with FDA guidelines. (18)

In 1982, Fyfe and Parnell (17) concluded that ultrasound transducers can be operational at outputs that vary greatly from the metered value. They reported that only 5 of 18 transducers (from multiple manufacturers) met the then-current Australian Standard Specifications (21) and International Electrotechnical Commission See IEC.

(standard, body) International Electrotechnical Commission - (IEC) A standardisation body at the same level as ISO.
 (IEC (International Electrotechnical Commission, Geneva, Switzerland, www.iec.ch) An organization that sets international electrical and electronics standards founded in 1906. It is made up of national committees from over 60 countries.

IEC - International Electrotechnical Commission
) (22,23) recommended tolerance of [+ or -] 15% of expected output power and only 4 of the 18 were within the tolerance level ([+ or -] 10%) for ERA. Pye and Milford (24) tested 85 ultrasound machines and found that 69% of the machines had output powers that differed by more than 30% from the reported values. Newer types of transducers, designed to emit at multiple frequencies, performed especially poorly.

Despite the 15 years since the report by Pye and Milford, (24) there appears to be little change in the consistency of US output. Recently, Johns et al (18) measured the ERA and output power levels of 7 calibrated cal·i·brate  
tr.v. cal·i·brat·ed, cal·i·brat·ing, cal·i·brates
1. To check, adjust, or determine by comparison with a standard (the graduations of a quantitative measuring instrument):
 transducers operating at both 1 and 3.3 MHz (MegaHertZ) One million cycles per second. It is used to measure the transmission speed of electronic devices, including channels, buses and the computer's internal clock. A one-megahertz clock (1 MHz) means some number of bits (16, 32, 64, etc.  from a single manufacturer. Although all 7 ERA values and all 7 output power values fell within FDA guidelines, the SAI values still varied from the digital display by -16% to +25%. (18) A follow-up study of 66 transducers from 6 manufacturers operating between 3.0 and 3.3 MHz reported a variation in measured SAI from the digital display by -26% to + 19%. (20) We have seen no recent reports of these measures performed on transducers operating at 1 MHz. Therefore, the purpose of this technical report is to examine a group of multifrequency transducers operating at 1 MHz to determine the level of variability in ERA, output power, and SAI.

Methods

Ultrasound Equipment and Calibrations

Sixty-six ultrasound transducers and 6 ultrasound generators able to activate them were purchased from 6 manufacturers (n=11/manufacturer). An a priori a priori

In epistemology, knowledge that is independent of all particular experiences, as opposed to a posteriori (or empirical) knowledge, which derives from experience.
 power analysis determined the minimum number of transducers required to find statistical significance; manufacturer numbers were limited by the available grant funds. We attempted to test units that are being used clinically. Researcher anonymity was maintained by having the equipment purchased through a third-party therapeutic modality therapeutic modality,
n an intervention used to heal someone. See model, biomedical and homeopathy.
 repair vendor who often purchases transducers in bulk. The results of the testing of these transducers at 3.3 MHz have been reported elsewhere. (20)

The following ultrasound transducer models were examined: Chattanooga (78047 *), Dynatronics (#300-5 ([dagger])), Mettler (ME7513 ([double dagger double dagger
n.
A reference mark () used in printing and writing. Also called diesis.

Noun 1.
])), Omnisound (2303050 ([section])), Rich-Mar (C4 ([parallel])), and XLTEK (UL-5 (#)). Prior to measurements, each ultrasound transducer was independently calibrated and tested (Tesco, 40 Old Parish Dr, South Windsor South Windsor (wĭn`zər), town (1990 pop. 22,090), Hartford co., N Conn.; set off from Windsor 1845. It is chiefly residential. Oliver Wolcott, a signer of the Declaration of Independence, was born there. , CT 06074) to within [+ or -] 15% according to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 manufacturer guidelines using a wattmeter Wattmeter

An instrument that measures electric power. See Electric power measurement

A variety of wattmeters are available to measure the power in ac circuits. They are generally classified by names descriptive of their operating principles.
 (model UPM-DT-10 **). The test tank was filled with room temperature degassed water. The transducer face was placed parallel to the center of the cone 0.6 cm below the surface of the water. Prior to calibration, the surface of each transducer was checked to ensure that no air pockets or bubbles remained on the surface of the transducer.

Following transducer calibration, the ultrasound generator was set to 5 W on the digital display, and the total wattage wattage

the output or consumption of an electric device expressed in watts.
 produced by each transducer was measured using the wattmeter. All transducers then were shipped to a second laboratory for measurement of the ERA. Following ERA measurement, the transducers were returned to Tesco and remeasured for total watts to ensure that each transducer had remained within calibrations. All transducers had retained calibration. The mean of the 2 measurements is presented as experimental wattage produced when compared with the digital display. Reliability between the repeated wattmeter measurements was good (intraclass correlation In statistics, the intraclass correlation (or the intraclass correlation coefficient[1]) is a measure of correlation, consistency or conformity for a data set when it has multiple groups.  coefficient [3,1] = .77, standard error of the measurement=0.23). All wattmeter measurements were collected by a single examiner.

Ultrasonic ultrasonic /ul·tra·son·ic/ (-son´ik) beyond the upper limit of perception by the human ear; relating to sound waves having a frequency of more than 20,000 Hz.

ul·tra·son·ic
adj.
1.
 Measurement System

A hydrophone hydrophone (hī`drəfōn'), device that receives underwater sound waves and converts them to electrical energy; the voltage generated can then be read on a meter or played through a loudspeaker. , which monitors sound underwater, was used to assess ultrasonic output. Both the ultrasound transducer and hydrophone were placed in a tank containing degassed water. Each ultrasound transducer was electrically driven by a gated tone burst generated by laboratory equipment instead of the manufacturers' driving units; this allowed optimization of the tone burst length and repetition period to minimize tank reverberations and also allowed electronic synchronization (1) See synchronous and synchronous transmission.

(2) Ensuring that two sets of data are always the same. See data synchronization.

(3) Keeping time-of-day clocks in two devices set to the same time. See NTP.
 between the tone burst and data acquisition (the manufacturer does not provide a "sync out" from the driving unit). Specifically, the transducer was connected to the output of a power amplifier Power amplifier

The final stage in multistage amplifiers, such as audio amplifiers and radio transmitters, designed to deliver appreciable power to the load.
 (ENI 440LA, S/N (1) (Serial/Number) Common shorthand for serial number.

(2) (Signal/Noise) As in "s/n ratio." See signal-to-noise ratio.
 126 ([dagger][dagger])), which was driven by a function generator A function generator is a piece of electronic test equipment or software used to generate electrical waveforms. These waveforms can be either repetitive, or single-shot (once only) in which case some kind of triggering source is required (internal or external).  (HP 3314A ([double dagger][double dagger])). A gate of 100 cycles (for 1 MHz) with a repetition rate of 1.0 kHz provided clean signals without interference from reverberations. Hydrophone measurements were made of each ultrasound transducer's output frequency as driven by the manufacturers' driving unit, and this output frequency was duplicated with the function generator. Driving amplitudes were adjusted so that the pressure signals were well within the linear range for water (typical root mean square pressure levels were 30 kPa).

A 400-[micro]m-diameter hydrophone (HNZ-0400 ([section][section])) was connected to a digital oscilloscope oscilloscope (əsĭl`əskōp'), electronic device used to produce visual displays corresponding to electrical signals. Displays of such nonelectrical phenomena as the variations of a sound's intensity can be made if the phenomena are  (Tektronix 724A ([parallel][parallel])), which was triggered by the pulse generator Pulse generator

An electronic circuit capable of producing a waveform that rises abruptly, maintains a relatively flat top for an extremely short interval, and then rapidly falls to zero.
. To measure signals representative of the steady-state operation of the transducers, the waveforms were measured at a delay of 85 microseconds relative to the trigger signal, over a time window of 2.5 microseconds. Data were acquired through an automated scanning system (XYZ XYZ  
interj. Informal
Used to indicate to someone that the zipper of his or her pants is open.



[ex(amine) y(our) z(ipper).]
) manufactured by SEA. ([section][section]) A scanning step size of 0.44 mm was used; the positional accuracy of the scanner was [+ or -] 0.013 mm.

Measurements and Calculation of ERA

The hydrophone was aligned with the beam axis of the the diameter of the sphere which is perpendicular to the plane of the circle.

See also: Axis
 transducer and then was systematically positioned and repositioned along a 31-point x 31-point grid at 0.44-mm intervals across the ultrasound transducer under computer control, making a total of 961 measurements. Hydrophone output (in voltage) was converted to pressure using the calibration factor for the hydrophone. Pressure was converted to intensity via the following formula:

(1) 1/2[[pressure (Pa)].sup.2] / (acoustic impedance Acoustic impedance

At a given surface, the complex ratio of effective sound pressure averaged over the surface to the effective flux (volume velocity or particle velocity multiplied by the surface area) through it.
 of water in rayls)

where the acoustic impedance of water=l.5 x [10.sup.6] rayls. The pulse intensity integral was then computed as:

(2) [P.sub.ii] = [[integral].sub.T] Intensity dt,

where T=the time window over which the pressure is captured. To calculate the ERA, the pulse intensity integral was measured over a planar A technique developed by Fairchild Instruments that creates transistor sublayers by forcing chemicals under pressure into exposed areas. Planar superseded the mesa process and was a major step toward creating the chip.  surface at a distance of 5 mm from the face of the ultrasound transducer (this distance was determined within an accuracy of [+ or -] 0.1 mm by measuring the time of flight between the trigger signal and the arrival of the pulse). The intensity data were then converted to a decibel decibel (dĕs`əbĕl', –bəl), abbr. dB, unit used to measure the loudness of sound. It is one tenth of a bel (named for A. G. Bell), but the larger unit is rarely used.  scale, relative to the peak intensity, and plotted as a 2-dimensional color map See color palette. . Effective radiating area was calculated as the area over which the intensity was greater than 5% of the peak intensity. (19) The overall accuracy of this algorithm for determining ERA has a complicated dependence on each beam geometry. (23) Results from a few repeated measurements, as well as the results of other researchers for similar beam geometries, (23) suggest that an uncertainty of [+ or -] 15% in ERA is reasonable.

Measurement of SAI

Experimental SAI was determined by dividing the experimental output power (in watts) by the experimental ERA (in square centimeters). Dynatronics, Mettler, Rich-Mar, and XLTEK use 5 [cm.sup.2] as a default ERA setting in their software to calculate SAI; therefore, when the output power is set to 5 W, the machine also reads 1.0 W/[cm.sup.2] when toggled to SAI. Chattanooga uses 4 [cm.sup.2] as a default ERA for software calculations; when the output power is set to 5 W, the machine toggles to 1.2 W/[cm.sup.2]. Therefore, to normalize normalize

to convert a set of data by, for example, converting them to logarithms or reciprocals so that their previous non-normal distribution is converted to a normal one.
 our measured SAI to allow for a direct comparison between manufacturers, the following equation for Chattanooga data was used:

(3) Normalized SAI (nSAI) at 1.0 W/[cm.sup.2]=(measured output power at 5 W / measured ERA) x 0.8,

where 0.8 represents the ratio of the reported ERA to the standardized ERA of 5.0. Omnisound measures and provides transducer-specific ERAs for software calculation of transducer-specific SAIs. To normalize our measured SAIs for Omnisound transducers, the following equation was used:

(4) nSAI at 1.0 W/[cm.sup.2]=(measured output power at 5 W / measured ERA) x X,

where X represents the ratio of the reported ERA to the standardized ERA of 5.0 [cm.sup.2].

Data Analysis

The Statistical Package for the Social Sciences (statistics, tool) Statistical Package for the Social Sciences - (SPSS) The flagship program of SPSS, Inc., written in the late 1960s.

["SPSS X User's Guide", SPSS, Inc. 1986].
 (version 12.0 for Windows (##)) was used to generate inferential in·fer·en·tial  
adj.
1. Of, relating to, or involving inference.

2. Derived or capable of being derived by inference.



in
 and descriptive statistics descriptive statistics

see statistics.
. The 3 dependent variables (ERA, nSAI, and total power) were grouped into a multivariant analysis of variance to determine significant differences between manufacturers. Following a significant Wilks lambda test (P [less than or equal to] .001), the 3 dependent variables were individually analyzed with one-way analyses of variance. A significant Levene test, indicating a lack of homogeneity Homogeneity

The degree to which items are similar.
 between the variance of the manufacturers on the ERA and nSAI variables (P [less than or equal to] .01), necessitated conservative Tamhane T2 post hoc post hoc  
adv. & adj.
In or of the form of an argument in which one event is asserted to be the cause of a later event simply by virtue of having happened earlier:
 testing for final analysis. In addition, reported ERAs and measured ERAs and digital display of SAI and calculated SAI were each compared for each manufacturer using paired t tests. Calculated SAIs were compared with the experimental standard (ie, 1 W/[cm.sup.2]) with single-sample t tests.

Results

The means and standard deviations In statistics, the average amount a number varies from the average number in a series of numbers.

(statistics) standard deviation - (SD) A measure of the range of values in a set of numbers.
 for the reported and measured values of ERA and output power are presented in Table 1. All output power values fell within FDA guidelines and manufacturers' reported specifications. In contrast, ERA values showed large variations. The Rich-Mar transducers had a group mean ERA value that fell outside of the manufacturer's reported range (measured value=3.83 [+ or -] 0.21 [cm.sup.2], reported value= 5.0 [+ or -] 1.0 [cm.sup.2]), and the Mettler transducers were on the extreme of the acceptable value (measured value=4.01 [+ or -] 0.34 [cm.sup.2], reported value= 5.0 [+ or -] 1.0 [cm.sup.2]). Five Mettler transducers, 8 Rich-Mar transducers, and 2 XLTEK transducers fell outside of manufacturers' reported specifications (and thus outside of FDA guidelines).

There was no significant difference between the reported and the measured values of ERA for the Chattanooga transducers (P=.475), but all other manufacturers had significant differences between reported and measured values (minimum P<.05). Omnisound transducers had the largest range of ERA values (4.1-5.9 [cm.sup.2]); however, this company does report individual ERA values for each transducer. Omnisound was followed closely by XLTEK (range = 3.76-5.26 [cm.sup.2]). Chattanooga transducers had the lowest range of values (3.51-4.19 [cm.sup.2]). Inter-manufacturer post hoc testing of ERA and power values is represented by the homogeneous subsets in Table 1. The homogeneous subsets indicate that the comparison values within each subset were not statistically significantly different from one another.

The transducers from different manufacturers produced significantly different nSAI values (P [less than or equal to] .001). Post hoc results are reported in the Figure. Group average nSAI values ranged from 1.39 [+ or -] 0.12 W/[cm.sup.2] for Mettler to 0.84 [+ or -] 0.05 W/[cm.sup.2] for Dynatronics (P<.001). Within-manufacturer variability data are presented in Table 2. Individual transducers ranged from 0.57 W/[cm.sup.2] for an Omnisound transducer to 1.61 W/[cm.sup.2] for a Mettler transducer, indicating a range from the digitally reported nSAI values of -43% to +61% within this cohort of 66 transducers (Tab. 2). Intra-manufacturer variability of nSAI ranged up to 53%. Transducers from 5 of the 6 manufacturers had nSAI values that were significantly different from that reported (minimum P=.005). The exception to this difference was Omnisound (P=.068). We attribute this lack of significance to the large standard deviation relative to the group mean.

[FIGURE OMITTED]

Discussion

Variability in the heating potential of different ultrasound transducers is known to exist. (11,12) Researchers have suggested that variations in SAI may be a factor in accounting for inconsistencies in patient outcomes. Recent reports have demonstrated significant differences between experimentally measured and generator-displayed SAI values at 3 MHz. (18,20) Disparity in SAI depends on variations in the ERA and total output power being delivered. This study is the first to examine new transducers on a large scale, across manufacturers, at 1 MHz.

All transducers fell within the FDA guidelines of [+ or -] 20% for the total output power emitted. This leads to 2 possible conclusions; either the output power measures are not the major source of SAI variability or the standards controlling the output power measures are too low. One limitation of output power measurement is the variability inherent to the devices measuring this value. The American National Standards Institute See ANSI.

(body, standard) American National Standards Institute - (ANSI) The private, non-profit organisation (501(c)3) responsible for approving US standards in many areas, including computers and communications. ANSI is a member of ISO.
 requires that the wattmeter used to take the measurements have a minimum of 4 times the accuracy of the unit to be tested. (25) Therefore, a minimum wattmeter accuracy of 5% is required to meet the FDA requirement of [+ or -] 20%. Unfortunately, wattmeter accuracy is limited; the Ohmic wattmeter used in this study has an accuracy of 3%. Therefore, using this wattmeter as the standard, the minimum that the FDA could drop the output power error band to is [+ or -] 12%. A larger concern with ultrasound output power is the lack of calibration of units in clinical practice. For example, Arthro et al (26) recently reported that 39% of the ultrasound machines they tested were outside the permitted error band for output power.

The measurements of ERA were highly varied, with a total of 15 transducers (23%) falling out of manufacturers' reported guidelines (and thus FDA guidelines). The mean ERA for Chattanooga transducers was well within the reported limits, accompanied by a small standard deviation. This stands in contrast to a previous report (20) that Chattanooga transducers, operating at 3.3 MHz, had ERAs at the larger end of the error band, which resulted in the emission of lower-than-displayed SAI values.

In contrast to Chattanooga transducers, the group mean for Rich-Mar transducers was outside of FDA limits (3.85 [+ or -] 0.21 [cm.sup.2]) while maintaining a small standard deviation. Rich-Mar would apparently do well to report their ERA as 4.0 [cm.sup.2] (rather than 5.0 [cm.sup.2]) and make the appropriate output power corrections, as does Chattanooga. Although Mettler transducers met FDA guidelines (4.01 [+ or -] 0.34 [cm.sup.2]), this same recommendation to report the batch as 4.0 [cm.sup.2] also could be made for Mettler (Tab. 1). No individual Mettler or Rich-Mar transducer would have fallen out of FDA guidelines if these manufacturers had reported ERA as 4.0 [cm.sup.2] rather than the 13 that fell out of the guidelines with an ERA of 5.0 [cm.sup.2]. These lower-than-reported Mettler ERA values are in contrast to Mettler's higher-than-reported ERAs at 3 MHz (24); this raises the question about the relationship of ERA values in single crystals designed to operate at multiple frequencies.

Omnisound is the only manufacturer we tested that performs ERA scans on each transducer. Overall, the Omnisound transducers had measured ERA values that coincided with their reported values. There were 2 large variations worth noting. Transducer #28438 reported an ERA of 2.9 [cm.sup.2], whereas we measured 4.6 [cm.sup.2]; and transducer #28443 reported an ERA of 3.6 [cm.sup.2], whereas we measured 5.8 [cm.sup.2]. We are unsure why we found such large differences in these 2 transducers from a manufacturer who performs ERA scans on each transducer at both frequencies.

There are great technical challenges in the measurement of ERA (27); although we attempted to follow manufacturer's guidelines in the testing of ERA, slight variations are expected based on the details of the technique. Overall, the variability we report in ERA may actually underestimate the true variability in clinical practice as we used a standardized amplifier and function generator to drive the ultrasound transducers during ERA measurements. Therefore, we have not accounted for variability in the electronic circuits of the driving units.

Like the ERA values, our nSAI values had a large range. The individual transducers ranged from -43% to +61% of the digitally displayed value. Although not to the point of the theoretical range of 150% (allowed when ERA and output power deviate maximally max·i·mal  
adj.
1. Of, relating to, or consisting of a maximum.

2. Being the greatest or highest possible.

n. Mathematics
An element in an ordered set that is followed by no other.
 within FDA guidelines), this is the greatest range of values we have seen reported for calibrated transducers. (18,20) Dynatronics and Omnisound transducers had the lowest group values for nSAI (0.84 [+ or -] 0.05 W/[cm.sup.2] and 0.88 [+ or -] 0.20 W/[cm.sup.2], respectively). Dynatronics transducers produced these numbers due to a combination of larger-than-reported ERA values matched with lower-than-displayed output power values; the Dynatronics transducers were consistently underpowered relative to generator displays. The low Omnisound nSAI was due in large part to the 2 transducers with the low reported ERAs. In these transducers, the low reported ERAs were matched to low output power values; when this low output power was run through a larger ERA, the resulting nSAI dropped greatly. The 2 Omnisound transducers in question had nSAIs of 0.57 and 0.60 W/[cm.sup.2], respectively, lowest of the entire cohort.

The highest nSAI values came from the Mettler transducers. Despite ERA values that were lower than the manufacturer reports, total output power was consistently higher than on the digital display. As a group, these transducers were overpowered o·ver·pow·er  
tr.v. o·ver·pow·ered, o·ver·pow·er·ing, o·ver·pow·ers
1. To overcome or vanquish by superior force; subdue.

2. To affect so strongly as to make helpless or ineffective; overwhelm.

3.
 by 39%, with the extreme transducer functioning at 1.61 W/[cm.sup.2] when the digital display read 1.0 W/[cm.sup.2]. These Mettler values are in stark contrast to the 3-MHz values reported by Johns et al, (20) where the group average for Mettler transducers was almost perfect with a mean of 0.99 [+ or -] 0.08 W/[cm.sup.2]. In contrast to Mettler, Rich-Mar transducers matched their smaller ERAs with lower output power values. The result is that the group exceeds the digital display by only 21%, with the extreme transducer at 1.30 W/[cm.sup.2].

Even small differences in SAI have the potential to cause changes in tissue heating. Demchak et al (28) have reported that, at 1 MHz, differences in SAI as small as 0.2 W/[cm.sup.2] may alter the heating curve. The variation predicted when using the Mettler transducers is even more profound. Based on the heating rates published by Draper et al, (5) if a clinician clinician /cli·ni·cian/ (kli-nish´in) an expert clinical physician and teacher.

cli·ni·cian
n.
 planned to provide a 1-MHz ultrasound treatment at 1.0 W/[cm.sup.2] for 10 minutes with the goal of increasing tissue temperature (at a depth of 2.5 cm) by 1.5[degrees]C, use of Mettler transducer #486 (ie, the one with the lowest SAI among those we tested: 1.2 W/[cm.sup.2] while the digital output read 1.0 W/[cm.sup.2]) might evoke a temperature rise close to 2.5[degrees]C. In contrast, use of Mettler transducer #167 (ie, the one with the highest SAI among those we tested: 1.61 W/[cm.sup.2] while the digital output read 1.0 W/[cm.sup.2]) would likely evoke a rise greater than 3.5[degrees]C. These differences would greatly influence tissue response, as the heating levels went from a desired level of mild heating to vigorous heating.

The ERA and SAI differences we report may help explain a report of heating differences at 1 MHz. Kimura et al (4) compared an XLTEK transducer to a Mettler transducer while heating phantom tissue. The ultrasound units were new, calibrated by the manufacturers, and output power was confirmed by a wattmeter to be within FDA standards. Despite the care taken to control the ultrasound units, at the end of a 5-minute treatment, the XLTEK transducer heated the tissue 0.80 [+ or -] 0.14[degrees]C on average, while the Mettler transducer heated the tissue to 1.48 [+ or -] 0.28[degrees]C. Kimura et al were hard-pressed to explain this occurrence. We now suspect that despite equal SAI settings and expectations, the Mettler transducer may have delivered more output power over a smaller area, resulting in the greater heating.

The clinical efficacy of therapeutic ultrasound is a topic for debate. Al-though ultrasound is commonly used during physical rehabilitation, there are at least 3 systematic reviews (3,29,30) currently available that indicate that there is little evidence to support the use of therapeutic ultrasound for musculoskeletal injury. We would argue that the question of clinical efficacy may be premature, because the question of accurate clinical dosing has yet to be answered. Inaccurate measures of ERA will affect SAI and also may affect treatment area, as some authors have suggested treating an area 2 to 3 times the ERA. Omnisound is the only manufacturer represented that measures the ERA for all transducers and consequently their nSAI values do not significantly differ from the experimental standard. Despite this, they still have large intra-manufacturer variability in the nSAI output. Manufacturers must develop more efficient and consistent methods of ERA measurement or develop treatment parameters that are not dependent upon this metric.

Conclusion

Large variability exists in SAI values (both within and between manufacturers) at 1 MHz. The variability is largely the result of inaccurate measurements of ERA and also the result of large permitted variation in measurements of output power (in a calibrated sample). The range of measured values at 1 MHz is much greater than previously reported for US at 3 MHz. Manufacturers must take more care in reporting proper ERA values. Accurate measures of ERA, output power, SAI, and energy dosing are critical when developing studies to determine clinical efficacy and attaining consistent clinical outcomes while using therapeutic ultrasound.

Dr Straub and Dr Johns provided concept/ idea/research design and writing. All authors provided data collection and analysis. Dr Johns provided fund procurement. Dr Howard provided consultation (including review of manuscript before submitting).

This project was supported by a grant from the National Athletic Trainers' Association-Research and Education Foundation, Dallas, Tex.

This study was presented at the 54th National Athletic Trainers' Convention and Clinical Symposium; Indianapolis, Ind; June 2005, and was published in abstract form in Journal of Athletic Training athletic training Sports medicine The practice of physical conditioning and reconditioning of athletes and prevention of injuries incurred by athletes. See Athlete, Athletic trainer. , 2005;40(2):S51.

Dr Howard is an employee of Onda Corp, which is a potential vendor of hydrophone systems to the manufacturers of the equipment used in this study.

This article was received December 4, 2006, and was accepted July 26, 2007.

DOI (Digital Object Identifier) A method of applying a persistent name to documents, publications and other resources on the Internet rather than using a URL, which can change over time. : 10.2522/ptj.20060358

References

(1) Lehmann JF, DeLateur BJ, Warren CG, Stonbridge JS. Heating produced by ultrasound in bone and soft tissue. Arch Phys Med Rehabil. 1967;48:397-401.

(2) Lehmann JF, DeLateur BJ, Stonebridge JS, warren CG. Therapeutic temperature distribution produced by ultrasound as modified by dosage and volume of tissue exposed. Arch Phys Med Rehabil. 1967; 48:662-666.

(3) Robertson VJ, Baker KG. A review of therapeutic ultrasound: effectiveness studies. Phys Ther. 2001;81:1339-1350.

(4) Kimura I, Gulick DT, Shelly J, Ziskin MC. Effects of two ultrasound devices and angles of application on temperature of the tissue phantom. J Orthop Sports Phys Ther. 1998;27:27-31.

(5) Draper DO, Castel JC, Castel D. Rate of temperature increase in human muscle during 1 MHz and 3 MHz continuous ultrasound. J Orthop Sports Phys Ther. 1995;22:142-150.

(6) Draper DO, Schulthies SS, Sorvisto P, Hautala AM. Temperature changes in deep muscles of humans during ice and ultrasound therapies ultrasound therapy Mainstream medicine The application of ultrasound waves to soft tissue to heat and relax injured tissue and disperse edema : an in vivo in vivo /in vi·vo/ (ve´vo) [L.] within the living body.

in vi·vo
adj.
Within a living organism.



in vivo adv.
 study. J Orthop Sports Phys Ther. 1995;21:153-157.

(7) Rose S, Draper DO, Schulthies SS, Durrant E. The stretching window part two: rate of thermal decay in deep muscle following 1-MHz ultrasound. J Athl Train. 1996;31: 139-143.

(8) Ashton DF, Draper DO, Myrer JW. Temperature rise in human muscle during ultrasound treatments using Flex-All as a coupling agent. J Athl Train. 1998;33: 136-140.

(9) Draper DO, Anderson C, Schulthies SS, Ricard MD. Immediate and residual changes in dorsiflexion dorsiflexion /dor·si·flex·ion/ (dor?si-flek´shun) flexion or bending toward the extensor aspect of a limb, as of the hand or foot.

dor·si·flex·ion
n.
The turning of the foot or the toes upward.
 range of motion using an ultrasound heat and stretch routine. J Athl Train. 1998;33:141-144.

(10) Garrett CL, Draper DO, Knight KL. Heat distribution in the lower leg from pulsed short-wave diathermy diathermy (dī`əthûr'mē), therapeutic measure used in medicine to generate heat in the body tissues. Electrodes and other instruments are used to transmit electric current to surface structures, thereby increasing the local blood  and ultrasound treatments. J Athl Train. 2000;35:50-55.

(11) Holcomb WR, Joyce CJ. A comparison of temperature increases produced by 2 commonly used ultrasound units. J Athl Train. 2003;38:24-27.

(12) Merrick MA, Bernard KD, Devor ST, Williams MJ. Identical 3-MHz ultrasound treatments with different devices produce different intramuscular intramuscular /in·tra·mus·cu·lar/ (-mus´ku-ler) within the muscular substance.

in·tra·mus·cu·lar
adj. Abbr. IM
Within a muscle.
 temperatures. J Orthop Sports Phys Ther. 2003;33: 379-385.

(13) Hayes BT, Merrick MA, Sandrey MA, Cordova Cordova, Spain: see Córdoba.  ML. Three-MHz ultrasound heats deeper into the tissues than originally theorized. J Athl Train. 2004;39:230-234.

(14) Leonard J, Merrick MA, Ingersoll CD, Cordova ML. A comparison of intramuscular temperatures during 10-minute 1.0 MHz ultrasound treatments at different intensities. J Sport Rehabil. 2004;13:244-254.

(15) Burr burr (bur) bur.

burr
n.
Variant of bur.



burr

1. a plant seed capsule carrying many hooked structures which catch in animal coats thus promoting dissemination of the plant.
 PO, Demchak TJ, Cordova ML, et al. Effects of altering intensity during a 10 minute 1MHz ultrasound treatment on triceps surae The triceps surae is a term given by some anatomists to the gastrocnemius and soleus muscles together as they both insert into the calcaneus, the bone of the heel of the human foot, and form the major part of the muscle of the back part of the lower leg (the calf; otherwise known  temperature elevation. J Sport Rehabil. 2004;13:275-286.

(16) Chan AK, Myrer JW, Measom GJ, Draper DO. Temperature changes in human patellar patellar

of or pertaining to the patella.


patellar cartilage
a cartilaginous process borne on the medial side of the patella of horses and cattle.
 tendon in response to therapeutic ultrasound. J Athl Train. 1998;33:130-135.

(17) Fyfe MC, Parnell SM. The importance of measurement of effective transducers radiating area in the testing and calibration of "therapeutic" ultrasonic instruments. Health Phys. 1982;43:377-381.

(18) Johns LD, Straub SJ, Howard SM. Analysis of effective radiating area, power, intensity, and field characteristics of ultrasound transducers. Arch Phys Med Rehabil. 2007;88:124-129.

(19) US Food and Drug Administration. Performance standards for sonic, infrasonic infrasonic /in·fra·son·ic/ (-son´ik) below the frequency range of sound waves.

in·fra·son·ic
adj.
Generating or using waves or vibrations with frequencies below that of audible sound.
, and ultrasonic radiation emitting products. 21 Federal Register 1050 (1999).

(20) Johns LD, Straub SJ, Howard SH. Variability in effective radiating area and output power in new ultrasound transducers at 3 MHz. J Athl Train. 2007;42:22-28.

(21) Standards Association of Australia. AS T40-1969: Ultrasonic Therapeutic Equipment. Parkville, Victoria Parkville is an inner city suburb north of Melbourne, Victoria, bordered by North Melbourne to the south-west, Carlton and Carlton North to the south and east, Brunswick to the north, and Flemington to the west.

It includes the postcodes 3052 and 3010 (University).
, Australia: Standards Association of Australia; 1969.

(22) Testing and Calibration of Ultrasonic Therapeutic Equipment. Geneva Geneva, canton and city, Switzerland
Geneva (jənē`və), Fr. Genève, canton (1990 pop. 373,019), 109 sq mi (282 sq km), SW Switzerland, surrounding the southwest tip of the Lake of Geneva.
, Switzerland: Bureau Central de la Commission Eletrotechnique Internationale; 1963. Geneva. International Electrotechnical Commission Publication 150.

(23) International Electrotechnical Committee. Ultrasonics--Physiotherapy Systems--Performance Requirements and Methods of Measurement in the Frequency Range 0.5 to 5 MHz. Geneva, Switzerland: International Electrotechnical Committee; 1996: Annex C. (IEC 61689)

(24) Pye SD, Milford C. The performance of ultrasound physiotherapy physiotherapy: see physical therapy.  machines in Lothian Region Noun 1. Lothian Region - a district in southeast central Scotland (south side of the Firth of Forth) and the location of Edinburgh
Scotland - one of the four countries that make up the United Kingdom of Great Britain and Northern Ireland; located on the northern
, Scotland. Ultrasound Med Biol. 1994;20:347-359.

(25) Roveti D. Measurement accuracy [letter to the editor]. Phys Ther. 2002;82:616.

(26) Artho PA, Thyne JG, Warring BP, et al. A calibration study of therapeutic ultrasound units. Phys Ther. 2002;82:257-263.

(27) Hekkenberg RT, Reibold R, Zeqiri B. Development of standard measurement methods for essential properties of ultrasound therapy equipment. Ultrasound Med Biol. 1994;20:83-98.

(28) Demchak TJ, Straub SJ, Johns LD. Ultrasound heating is curvillnear in nature and varies between transducers from the same manufacturer, J Sport Rehabil. 2007;16: 122-130.

(29) van der Windt DA, van der Heijden GJ, van den Berg Van den Berg is the surname of:
  • Rudolf van den Berg (born 1949), Dutch director
  • Albert van den Berg (born 1976), South African rugby player
  • Jan Hendrik van den Berg (born 1914), Dutch psychologist
  • Janwillem van den Berg (1920-1985), Dutch speech scientist
 SG, et al. Ultrasound therapy for musculoskeletal disorders Musculoskeletal disorders (MSDs) can affect the body's muscles, joints, tendons, ligaments and nerves. Most-work related MSDs develop over time and are caused either by the work itself or by the employees' working environment. : a systematic review. Pain. 1999;81:257-271.

(30) van der Windt DA, van der Heijden GJ, van den Berg SG, et al. Therapeutic ultrasound for acute ankle sprains ankle sprain Orthopedics A stretching of the ankle ligaments and/or muscles with swelling . Cochrane Database Systc Rev. 2002;(1):CD001250.

(31) Starkey C. Therapeutic Modalities. 3rd ed. Philadelphia, Pa: FA Davis Co; 2004:174.

(32) Cameron MH. Physical Agents in Rehabilitation rehabilitation: see physical therapy. : From Research to Practice. 2nd ed. St Louis, Mo: Saunders; 2003:209.

* Chattanooga Group, 4717 Adams Rd, Hixson, TN 37343.

([dagger]) Dynatronics, 7030 Parke Centre Dr, Salt Lake City, UT 84121.

([double dagger]) Mettler Electronics, 1333 S Claudina St, Anaheim, CA 92805.

([section]) Accelerated Care Plus, 4850 Joule joule (jl, joul), abbr. J, unit of work or energy in the mks system of units, which is based on the metric system; it is the work done or energy expended by a force of 1 newton acting through  St, Reno, NV 89502.

([parallel]) Rich-Mar Corp, 4120 South Creek South Creek is a name of a place. It may refer to:
  • South Creek, New South Wales, Australia
  • South Creek Township, Pennsylvania, United States of America
  • South Creek Township, South Dakota, United States of America
 Rd, Chattanooga, TN 37406.

(#) XLTEK, 2568 Bristol Cir, Oakville, Ontario Oakville (2006 population 165,613[2]) is a town on Lake Ontario in southern Ontario, Canada, midway between Toronto (about 31 km or 19 mi away) on its eastern border and Hamilton (about 20 km or 12 mi away) from its western border. , Canada L6H 5S1.

** Ohmic Instruments, 508 August St, Easton, MD 21601.

([dagger][dagger])MKS (Mortice Kern Systems Inc., Waterloo, Ontario, www.mks.com) A software company that specializes in programming tools and utilities for a variety of platforms. For example, its RCS system for Windows, OS/2 and Unix is a version control software package.  Instruments, 100 Highpower Rd, Rochester, NY 14623.

([double dagger][double dagger]) Agilent Technologies This article needs sources or references that appear in reliable, third-party publications. Alone, primary sources and sources affiliated with the subject of this article are not sufficient for an accurate encyclopedia article.  Inc, 5301 Stevens Creek Stevens Creek is a creek in Santa Clara County, California. The creek flows from the Santa Cruz Mountains into Stevens Creek Reservoir. It continues through Cupertino, Los Altos, and Mountain View before emptying into the San Francisco Bay.  Bird, Santa Clara Santa Clara, city, Cuba
Santa Clara (sän`tä klä`rä), city (1994 est. pop. 217,000), capital of Villa Clara prov., central Cuba.
, CA 95051.

([section][section]) Onda Corp, 592 Weddell Dr, Ste 7, Sunnyvale, CA 94089.

([parallel][parallel]) Tektronix Inc, 14200 SW Karl Braun Dr, Beaverton, OR 97077.

(##) SPSS A statistical package from SPSS, Inc., Chicago (www.spss.com) that runs on PCs, most mainframes and minis and is used extensively in marketing research. It provides over 50 statistical processes, including regression analysis, correlation and analysis of variance.  Inc, 233 S Wacker Wacker may refer to:
  • EMS Wacker http://i9.tinypic.com/4veeqvo.jpg http://i2.tinypic.com/5xrb2g0.jpg
  • Wacker Drive
  • Wacker process
Sports
  • VfB Admira Wacker Mödling
  • Wacker Berlin
  • Wacker Burghausen
 Dr, Chicago, IL 60606.

SJ Straub, PhD, ATC ATC Air Traffic Control
ATC Average Total Cost
ATC Certified Athletic Trainer
ATC At the Center (Hartford, Maine retreat center)
ATC Applied Technology Council
ATC All Things Considered
, is Associate Professor, Department of Physical Therapy, Quinnipiac University Quinnipiac University is a private four-year university in Hamden, Connecticut, located on about 500 acres (2 km²), just north of New Haven. The campus is situated at the foot of Sleeping Giant State Park. , 275 Mt Carmel Ave FOTRN, Hamden, CT 06489 (USA). Address all correspondence to Dr Straub at: stephen.straub@quinnipiac.edu.

LD Johns, PhD, ATC, is Professor, Department of Physical Therapy, Quinnipiac University.

SM Howard, PhD, is Chief Technology Officer, Onda Corporation, Sunnyvale, Calif.

[Straub SJ, Johns LD, Howard SM. Variability in effective radiating area at 1 MHz affects ultrasound treatment intensity. Phys Ther. 2008;88:50-57.]
Table 1.
Measured and Reported Effective Radiating Area (ERA), Output Power,
and Normalized Spatial Average Intensity (nSAI) Values (a)

                      ERA ([cm.sup.2])        Output Power (W)

Chattanooga   R   4.0 [+ or -] 1.0            5.0 [+ or -] 1.0
              M   3.95 [+ or -] 0.23 (1)      5.37 [+ or -] 0.21 (3, 4)
Dynatronics   R   5.01 [+ or -] 1.0           5.0 [+ or -] 1.0
              M   5.35 [+ or -] 0.28 (3)      4.48 [+ or -] 0.27 (1)
Mettler       R   5.0 [+ or -] 1.0            5.0 [+ or -] 1.0
              M   4.01 [+ or -] 0.34 (1)      5.54 [+ or -] 0.14 (4)
Omnisound     R   4.45 [+ or -] 0.67 (c)      5.0 [+ or -] 1.0
              M   5.05 [+ or -] 0.60 (2, 3)   4.91 [+ or -] 0.35 (1, 2)
Rich-Mar      R   5.0 [+ or -] 1.0            5.0 [+ or -] 1.0
              M   3.83 [+ or -] 0.21 (1)      4.62 [+ or -] 0.26 (1)
XLTEK         R   5.0 [+ or -] 0.75           5.0 [+ or -] 1.0
              M   4.61 [+ or -] 0.49 (2)      5.23 [+ or -] 0.20 (2, 3)

                   nSAI (W/[cm.sup.2])

Chattanooga    R   1.09 (b)
               M   1.10 [+ or -] 0.08
Dynatronics    R   1.0
               M   0.84 [+ or -] 0.05
Mettler        R   1.0
               M   1.39 [+ or -] 0.12
Omnisound      R   1.0 (b)
               M   0.88 [+ or -] 0.20
Rich-Mar       R   1.0
               M   1.21 [+ or -] 0.07
XLTEK          R   1.0
               M   1.15 [+ or -] 0.14

(a) R = manufacturer reported values ([+ or -] reported
acceptable error), M = experimentally measured/derived group
mean ([+ or -] SD). Superscript numbers 1, 2, 3, and

(4) represent homogeneous subsets (P >. 05) within measured
ERA and measured output power variables. Manufacturers are
listed alphabetically.

(b) Omnisound and Chattanooga SAIs represent normalized values
for reported ERA for comparison purposes.

(c) Omnisound reports actual ERA for each sound head.

Table 2.
Range of Values for Normalized Spatial Average Intensity
(nSAI) Relative to Expected Value of 1.0 W/[cm.sup.2]

                                    % nSAI
                                 Variability
                    nSAI            Within
Manufacturer    (W/[cm.sup.2])   Manufacturer

Chattanooga       1.00-1.26          21%
Dynatronics       0.75-0.91          18%
Mettler           1.20-1.61          25%
Omnisound         0.57-1.22          53%
Rich-Mar          1.09-1.30          16%
XLTEK             0.99-1.42          30%
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Title Annotation:Technical Report
Author:Straub, Stephen J.; Johns, Lennart D.; Howard, Samuel M.
Publication:Physical Therapy
Date:Jan 1, 2008
Words:5616
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