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Introduction to Acoustics

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High intensity focused ultrasound harmonic<br />

concentration at focus<br />

Pressure (MPa) Axial pressure<br />

8<br />

6<br />

4<br />

2<br />

0<br />

Computed linear envelope<br />

Computed nonlinear envelope<br />

Ambient 1 atm pressure<br />

Zero absolute pressure<br />

–2 Linear<br />

–4 Nonlinear<br />

Linear envelope<br />

–6<br />

20 25 30 35 40<br />

Geometric focal depth Axial distance (mm)<br />

Fig. 21.72 Computed central beam instantaneous pressures<br />

from a HIFU transducer. The high acoustic pressures in the<br />

focal zone create nonlinear effects that generate harmonics<br />

in the transmitted ultrasound beam (courtesy F. Curra)<br />

1. s<strong>to</strong>pping internal bleeding of the liver or spleen,<br />

2. s<strong>to</strong>pping bleeding due <strong>to</strong> catheter procedures,<br />

3. reducing the size of tissues such as uterine fibroids<br />

and prostate hypertrophy,<br />

4. destroying cancer cells and tumors,<br />

5. birth-control procedures such as vasec<strong>to</strong>my and<br />

tubal ligation,<br />

6. tissue welding, and<br />

7. pushing tissues using radiation force <strong>to</strong> stretch or<br />

compress them.<br />

Thermal dose is one way <strong>to</strong> summarize hyperthermia<br />

treatment conditions. Thermal dose implies that<br />

tissue changes occur above 43 ◦C, and that the effect<br />

is increased with increasing time and increasing temperature.<br />

One empirical formula for thermal dose has been<br />

given [21.81]as:<br />

�t2<br />

D = n(T) (T−43) dt ,<br />

t1<br />

21.8 Lithotripsy of Kidney S<strong>to</strong>nes<br />

Explosive ultrasound can be used <strong>to</strong> fracture kidney<br />

s<strong>to</strong>nes in the renal pelvis where the urine is collected<br />

from the kidney and directed down the ureter <strong>to</strong> the<br />

bladder. S<strong>to</strong>nes which form in the renal pelvis from<br />

solutes in the urine are very painful. The pain occurs<br />

because urine is moved down the ureter by peristaltic action,<br />

and the peristalsis cannot handle a bolus the size of<br />

Medical <strong>Acoustics</strong> 21.8 Lithotripsy of Kidney S<strong>to</strong>nes 891<br />

1 MPa<br />

1.2 MPa<br />

1.6 MPa<br />

2.6 MPa<br />

8 MPa<br />

25 W/cm 2<br />

40 W/cm 2<br />

80 W/cm 2<br />

200 W/cm 2<br />

2000 W/cm 2<br />

Fig. 21.73 Typical HIFU ultrasound beam profile. Highintensity<br />

focused ultrasound beam profile showing increase<br />

in beam intensity, not accounting for attenuation. The small<br />

circles post focus represent bubbles formed by a combination<br />

of mechanical-index-induced cavitation boiling. They<br />

are pushed in<strong>to</strong> the post-focus zone by radiation pressure.<br />

As the exposure continues, more bubbles will be formed at<br />

shallower depths. Post-focal bubbles may provide a safety<br />

shield, preventing HIFU exposure of deeper, healthy tissue<br />

where t1 and t2 are the initial and final times of the heating<br />

profile, respectively, and n(T) is4forT < 43 ◦ C<br />

and 2 for T > 43 ◦ C. The temperature is determined by<br />

the rate of heat delivery per tissue volume, which is<br />

the product of the intensity times the attenuation minus<br />

the rate at which heat is removed from the tissue<br />

by conduction through tissues, and convection via the<br />

blood.<br />

The most difficult issue with HIFU is the small treatment<br />

volume versus the relatively large access window.<br />

Under ideal conditions, the treatment of a single volume<br />

of tissue 10 mm 3 takes about 2 s. A cubic region 50 mm<br />

on a side has a volume of 125 000 mm 3 and requires<br />

nearly 4 h <strong>to</strong> treat. These long treatment times present<br />

a considerable economic problem for the adoption of the<br />

technology.<br />

a s<strong>to</strong>ne. One type of ultrasound lithotripter uses a 10 cmdiameter<br />

concave reflec<strong>to</strong>r with a spark gap at the source<br />

focus. The elliptical curvature forms a target focus 12 cm<br />

from the face of the reflec<strong>to</strong>r. Equally intense ultrasound<br />

pulses can be formed using focused piezoelectric transducers<br />

or electromagnetically driven membranes with<br />

the ultrasound focused using an acoustic lens.<br />

Part F 21.8

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