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Blood Flow Reduction in Breast Tissue due to Mammographic Compression

Rationale and objectives

This study measures hemodynamic properties such as blood flow and hemoglobin concentration and oxygenation in the healthy human breast under a wide range of compressive loads. Because many breast-imaging technologies derive contrast from the deformed breast, these load-dependent vascular responses affect contrast agent–enhanced and hemoglobin-based breast imaging.

Methods

Diffuse optical and diffuse correlation spectroscopies were used to measure the concentrations of oxygenated and deoxygenated hemoglobin, lipid, water, and microvascular blood flow during axial breast compression in the parallel-plate transmission geometry.

Results

Significant reductions ( P < .01) in total hemoglobin concentration (∼30%), blood oxygenation (∼20%), and blood flow (∼87%) were observed under applied pressures (forces) of up to 30 kPa (120 N) in 15 subjects. Lipid and water concentrations changed <10%.

Conclusions

Imaging protocols based on injected contrast agents should account for variation in tissue blood flow due to mammographic compression. Similarly, imaging techniques that depend on endogenous blood contrasts will be affected by breast compression during imaging.

Exogenous contrast agents are playing an increasingly important role in breast cancer screening and diagnosis, because they improve image signal-to-noise and offer novel targeting potential as tissue biomarkers. Dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) uses intravenous injection of gadolinium-diethylenetriamine pentaacetic acid (Gd-DTPA), for example, and is currently recommended as a screening tool for high-risk women . Similarly, contrast-enhanced digital x-ray tomosynthesis often uses injection of iodine-based agents into the compressed breast . Both of these techniques rely on adequate blood flow to control the delivery, uptake, and spatial distribution of the contrast agent. Deformation of breast tissue during compression, however, can lead to modifications of regional blood flow that alter tissue oxygenation and metabolism as well as contrast agent delivery. Furthermore, the mechanical properties of tumors are generally different from those of the surrounding tissues , and these differences can lead to uncontrolled and heterogeneous vascular responses of the breast to compression. Thus, compression can significantly reduce cancer contrast.

In addition to the standard clinical techniques mentioned previously, scientists continue to explore new technologies to enhance breast cancer specificity and sensitivity. Diffuse optical spectroscopy (DOS) and tomography (DOT), for example, are novel methodologies that utilize photons in the near-infrared (NIR, 650–950 nm) tissue transmission window to measure properties of normal and diseased breast tissues noninvasively and in vivo . In breast cancer, these physiological parameters typically include the concentration of oxygenated and deoxygenated hemoglobin (HbO 2 and Hb, respectively), from which total tissue hemoglobin concentration (Hb t = HbO 2 + Hb ∝ blood volume) and blood oxygen saturation (StO 2 = HbO 2 /Hb t ) are readily calculated. These hemodynamic parameters, including other tissue properties such as water and lipid concentration and reduced tissue scattering ( μ′s μ

s

′ ), all provide significant endogenous tumor contrast for the optical method. In practice, clinical DOS/DOT measurements typically involve placing breast tissue under some type of mild compression, however, and the effects of this compression on breast tissue vasculature are not generally considered in the analysis of DOT results, despite observations suggesting that compression effects are present .

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Methods

Recruitment

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Table 1

Demographic Information for Healthy Subjects Studied in the Compression Investigation

Parameters Subjects ( N = 15) Age, yr 35 ± 16 (19, 67) BMI, kg/m 2 26 ± 7.8 (19.6, 49.3) Menopausal status Premenopausal 12 (75%) Postmenopausal 3 (25%) Bra cup size B 1 (7%) C 8 (53%) D 5 (33%) E 1 (7%) Race/ethnicity Caucasian 11 (73%) African American 3 (20%) Asian 1 (7%) Hispanic 0 (0%)

Race/ethnicity and bra cup size are self-reported. Body mass index (BMI) and age are reported as mean ± standard deviation (minimum, maximum).

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Measurement Protocol

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Figure 1, (a) Schematic overview. The subject is seated on a height-adjustable chair with the breast placed between two compression plates. Optical fibers couple light into and out of the tissue and are also coupled to the optoelectronics of the combined diffuse optical/diffuse correlation spectroscopy (DOS/DCS) instrument module. Skin pressure ( P ), applied force ( F ), and plate separation ( d ) are measured throughout the study. (b) Schematic view of compression plates, load sensor, pressure sensor, and optodes. To improve data quality, eight DCS detectors were colocated and data from these detectors were obtained in parallel and averaged. Twenty-six pressure sensors were located on the upper and lower plates. (c) Schematic view of pressure sensor distribution. The red star indicates the optode location. The size of the blue circles denotes the size of the sensor (15- or 25-mm diameter; size is proportional to sensitivity). (d) Experimental timeline. The initial compression was set to a nominal force of 60 N, and the subsequent compressions were set to ∼120 N. In practice, both of these force levels were limited by subject compliance. (e) Photograph of compression plate system. For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.

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μ′s(λ)=Aλ−b μ

s

(

λ

)

=

A

λ

b

for each optical wavelength λ (nm). Note that μ′s μ

s

′ and the quantity ( b ) have units of cm −1 . The tissue absorption coefficient is a sum of terms containing both the i th chromophore concentration ( C__i , mol/L) and their respective extinction coefficients (ε i , cm −1 mol −1 L), that is,

μa(λ)=∑iCi⋅εi(λ)⋅ln(10) μ

a

(

λ

)

=

i

C

i

·

ε

i

(

λ

)

·

ln

(

10

)

where the sum is over all tissue chromophores and μ__a has units of cm −1 . Additionally, two derived parameters, total hemoglobin concentration and blood oxygen saturation, were calculated at each time point.

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rHbt=Hbt(Hbt)0ΔStO2=StO2−(StO2)0rBF=BFBF0ΔLipid=Lipid−Lipid0ΔH2O=H2O−(H2O)0rμ′s=μ′s(μ′s)0ΔP=P−P0ΔF=F−F0 rHb

t

=

Hb

t

(

Hb

t

)

0

ΔStO

2

=

StO

2

(

StO

2

)

0

r

BF

=

BF

BF

0

ΔLipid

=

Lipid

Lipid

0

ΔH

2

O

=

H

2

O

(

H

2

O

)

0

r

μ

s

=

μ

s

(

μ

s

)

0

Δ

P

=

P

P

0

Δ

F

=

F

F

0

where the resulting normalized physiological parameters are measured in percentages (or as differences) relative to the baseline ( X__0 ) value.

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Statistical Methods

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Results

Example Data from Individual Subjects

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Figure 2, Example data from a 28-year-old subject (body mass index = 19.6 kg/m 2 ), showing time traces of distance, force, and pressure. (a) Plate separation ( d ). (b) Applied force ( F , blue, left axis ) and surface pressure ( P , red, right axis ). The plate separation d is inversely related to force ( F ) and pressure ( P ). Hemodynamic measurements for this subject are shown in Figure 3 . For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.

Figure 3, Example data from a 28-year-old subject (body mass index = 19.6 kg/m 2 ), showing time traces of distance and hemodynamic properties. Mechanical measurements for this subject are shown in Figure 2 . (a) Plate separation ( d ). (b) Total hemoglobin concentration (Hb t ). (c) Relative blood flow (rBF). (d) Blood oxygen saturation (StO 2 ) and (e) reduced tissue scattering coefficient μ′s μs′ versus experiment time. As expected, Hb t ( b ), rBF ( c ), and StO 2 ( d ) are reduced during compression. For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.

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Figure 4, Two examples of stress–strain response during a single compression from baseline load in a pair of subjects. To remove the baseline pressure (e.g., due to the weight of the breast tissue resting on the compression plate), stress is defined as the measured change in surface pressure from the baseline (Δ P = P − P 0 , kPa). An effective strain is defined as the measured change in plate separation divided by the initial plate separation (Δ d d 0 , %). Both the quantities were measured continuously; error bars represent the standard deviation of measurements inside a ∼4-second averaging time-window. As expected, the stress response in the low strain regimen was approximately linear, and it transitioned to an exponential response at high strain. Note that the linear range differed significantly between subjects. (Color version of the figure is available online.)

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Population-averaged Mechanical Properties

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Figure 5, Mechanical properties of breast tissue. Each point corresponds to the average parameter during a baseline or compressed period (e.g., as in Fig 2 a); error bars are the standard deviation of the parameter. Red dots denote postmenopausal, and blue dots, premenopausal subjects. (a) Change in surface pressure (Δ P = P − P 0 ) versus applied force (Δ F = F − F 0 ) from baseline. (b) Δ P (≃ stress) versus fractional change in plate separation (Δ d d 0 ≃ strain). Note that, we performed linear fits over two ranges of stress: 0%–20% ( green ) and 0%–50% ( black , all data). Although the latter range includes some data points, which may be outside of the linear stress–strain regimen, we use a simple linear model for the present analysis. Approximate systolic and diastolic blood pressures for healthy persons are shown for reference. For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.

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Population-averaged Physiological Properties

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Figure 6, Population-averaged hemodynamic changes under compression versus applied pressure. Percentage change from baseline in (a) total hemoglobin concentration, rHb t = Hb t(Hb t ) 0 ; (b) blood oxygen saturation, ΔStO 2 = StO 2 − (StO 2 ) 0 ; (c) lipid concentration, Δlipid = lipid − lipid 0 ; (d) water concentration ΔH 2 O = H 2 O − (H 2 O) 0 ; (e, f) blood flow, rBF = BF/BF 0 ; and (g) tissue reduced scattering coefficient at 785 nm, rμ′s=μ′s(μ′s)0 rμs′=μs′(μs′)0 ; under compression versus change in surface pressure Δ P = P − P 0 (a–e, g) or applied force Δ F = F − F 0 (f) . Data were binned by Δ P = baseline (0 kPa), 5 kPa (0–10), 15 kPa (10–20), and 25 kPa (20–30) or Δ F = baseline (0 N), 15 N (0–30), 45 N (30–60), 75 N (60–90), and 105 N (90–120). Note: data from both compression time windows on both breasts for each subject are included in these figures. Error bars are standard error for each bin; the number of data points included in each bin is noted in the figures. Data marked with “*” (“**”) are statistically different than baseline (zero change) using a two-tailed t test with P < .05 (.01). (Color version of the figure is available online.)

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Discussion

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Conclusions

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Acknowledgments

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Appendix A

Optical data analysis

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χ2=∑λ,t(T(t,λ)−Tc(t,λ)T(t,λ)√∣∣∣t2t1) χ

2

=

λ

,

t

(

T

(

t

,

λ

)

T

c

(

t

,

λ

)

T

(

t

,

λ

)

|

t

1

t

2

)

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Gdcsslab[τ]=14π∑∞m=−∞(r−11,me−kdcs(τ)r1,m−r−12,me−kdcs(τ)r2,m) G

slab

dcs

[

τ

]

=

1

4

π

m

=

(

r

1

,

m

1

e

k

dcs

(

τ

)

r

1

,

m

r

2

,

m

1

e

k

dcs

(

τ

)

r

2

,

m

)

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r1,m=ρ2+z21,m−−−−−−−√ r

1

,

m

=

ρ

2

+

z

1

,

m

2

r2,m=ρ2+z22,m−−−−−−−√ r

2

,

m

=

ρ

2

+

z

2

,

m

2

z1,m=d(1−2m)−4mzb−z0 z

1

,

m

=

d

(

1

2

m

)

4

m

z

b

z

0

z2,m=d(1−2m)−(4m−2)zb+z0 z

2

,

m

=

d

(

1

2

m

)

(

4

m

2

)

z

b

+

z

0

z0=1μ′s+μa≃1μ′s z

0

=

1

μ

s

+

μ

a

1

μ

s

zb=2z031+Reff1−Reff z

b

=

2

z

0

3

1

+

R

eff

1

R

eff

kdcs(τ)=vD(μa+αμ′sκ20<Δr2(τ)>3)−−−−−−−−−−−−−−−−−−√ k

dcs

(

τ

)

=

v

D

(

μ

a

+

α

μ

s

κ

0

2

<

Δ

r

2

(

τ

)

3

)

κ0=2πnλ κ

0

=

2

π

n

λ

D=v3(μ′s+μa)≃v3μ′s D

=

v

3

(

μ

s

+

μ

a

)

v

3

μ

s

where d is the slab thickness, ρ the transverse source-detector separation, v is the speed of light, n is the index of refraction, R eff is the Fresnel reflection coefficient at the slab boundaries, and α is the fraction of moving scatterers. Note, this fit uses the optical properties ( μ__a and μ′s μ

s

′ ) at the DCS wavelength (785 nm) determined from TD-DOS measurements.

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k2dcs[τ]=vD(μa+2μ′sκ20αDBτ) k

dcs

2

[

τ

]

=

v

D

(

μ

a

+

2

μ

s

κ

0

2

α

D

B

τ

)

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