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CHAPTER 2 Biologic Effects and Safety 39

he NCRP ultrasound committee introduced the TI concept. 8

he purpose of the TI is to provide an indication of the relative

potential for increasing tissue temperature, but it is not meant

to provide the actual temperature rise. he NCRP recommended

two tissue models to aid in the calculation of the ultrasound

power that could raise the temperature in tissue by 1°C: (1) a

homogeneous model in which the attenuation coeicient is

uniform throughout the region of interest, and (2) a ixedattenuation

model in which the minimum attenuation along the

path from transducer to a distant anatomic structure is independent

of the distance because of a low-attenuation luid path

(e.g., amniotic luid). 8,13,14 Because of concern for the patient, it

was recommended that “reasonable worst case” assumptions be

made with respect to estimation of temperature elevations in

vivo. he FDA, AIUM, and National Electrical Manufacturers

Association (NEMA) adopted the TI as part of the output display

standard. hey advocate estimating the efect of attenuation in

the body by reducing the acoustic power/output of the scanner

(W 0 ) by a derating factor equal to 0.3 dB/cm-MHz for the sot

tissue model. 11

he AIUM hermal Index Working Group considered three

tissue models: (1) the homogeneous tissue or sot tissue model,

(2) a tissue model with bone at the focus, and (3) a tissue model

with bone at the surface, or transcranial model. 11 he TI takes

on three diferent forms for these tissue models.

Homogeneous Tissue Model (Soft Tissue)

he assumption of homogeneity helps simplify the determination

of the efects of acoustic propagation and attenuation, as well as

the heat transfer characteristics of the tissue. Providing one of

the most common applications for ultrasound imaging, this model

applies to situations where bone is not present and can generally

be used for fetal examinations during the irst trimester (low

calciication in bone). In the estimation of potential heating,

many assumptions and compromises had to be made to calculate

a single quantity that would guide the operator. Calculations of

the temperature rise along the axis of a focused beam for a

simple, spherically curved, single-element transducer result in

two thermal peaks. he irst is in the near ield (between the

transducer and the focus), and the second appears close to the

focal region. 15,16 he irst thermal peak occurs in a region with

low ultrasound intensity and wide beam width. When the beam

width is large, cooling will occur mainly because of perfusion.

In the near ield the magnitude of the local intensity is the chief

determinant of the degree of heating. he second thermal peak

occurs at the location of high intensity and narrow beam width

at or near the focal plane. Here the cooling is dominated by

conduction, and the total acoustic power is the chief determinant

of the degree of heating.

Given the thermal “twin peaks” dilemma, the AIUM hermal

Index Working Group compromised in creating a TI that included

contributions from both heating domains. 11 heir rationale was

based on the need to minimize the acoustic measurement load

for manufacturers of ultrasound systems. In addition, adjustments

had to be made to compensate for efects of the large range of

potential apertures. he result is a complicated series of calculations

and measurements that must be performed, and to the

credit of the many manufacturers, there has been considerable

efort in implementing a display standard to provide user feedback.

Diferent approaches to these calculations were considered, 10 but

changes will require that the currently accepted implementation

be reexamined and approved for use by the FDA and considered

by the IEC.

Tissue Model With Bone at the Focus

(Fetal Applications)

Applications of ultrasound in which the acoustic beam travels

through sot tissue for a ixed distance and impinges on bone

occur most oten in obstetric scanning during the second and

third trimesters. Carson and colleagues 13 recorded sonographic

measurements of the maternal abdominal wall thickness in various

stages of pregnancy. Based on their results, the NCRP recommended

that the attenuation coeicients for the irst, second,

and third trimesters be 1.0, 0.75, and 0.5 dB/MHz, respectively. 7

hese values represent “worst case” estimates. In addition, Siddiqi

and colleagues 17 determined the average tissue attenuation coeficient

for transabdominal insoniication (exposure to ultrasound

waves) in a patient population of nonpregnant, healthy volunteers

was 2.98 dB/MHz. his value represents an average measured

value and is much diferent from the worst-case estimates previously

listed. his leads to considerable debate on how such

parameters should be included in an index.

In addition, bone is a complex, hard connective tissue with

a calciied collagenous intercellular structure. Its absorption

coeicient for longitudinal waves is a factor of 10 greater than

that for most sot tissues (see Fig. 2.2). Shear waves are also

created in bone as sound waves strike bone at oblique incidence.

he absorption coeicients for shear waves are even greater than

those for longitudinal waves. 18-20

Based on the data of Carstensen and colleagues 2 described

earlier, the NCRP proposed a thermal model for bone heating.

Using this model, the Bone hermal Index (TIB) is estimated

for conditions in which the focus of the beam is at or near bone.

Again, assumptions and compromises had to be made to develop

a functional TI for the case of bone exposure, as follows:

• For unscanned mode transducers (operating in a ixed position)

with bone in the focal region, the location of the

maximum temperature increase is at the surface of the bone.

herefore the TIB is calculated at the distance along the beam

from the transducer where it is maximized, a worst-case

assumption.

• For scanned modes, the Sot Tissue hermal Index (TIS)

is used because the temperature increase at the surface is

either greater than or approximately equal to the temperature

increase with bone in the focus.

Tissue Model With Bone at the Surface

(Transcranial Applications)

For adult cranial applications, the same model as that with bone

at the focus is used to estimate the temperature distribution in

situ. However, because the bone is located at the surface, immediately

ater the acoustic beam enters the body, attenuation of

the acoustic power output is not included. 11 In this situation the

equivalent beam diameter at the surface is used to calculate the

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