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Whole-Lesion Apparent Diffusion Coefficient-Based Entropy-Related Parameters for Characterizing Cervical Cancers

Rationale and Objectives

This study aimed to develop whole-lesion apparent diffusion coefficient (ADC)-based entropy-related parameters of cervical cancer to preliminarily assess intratumoral heterogeneity of this lesion in comparison to adjacent normal cervical tissues.

Materials and Methods

A total of 51 women (mean age, 49 years) with cervical cancers confirmed by biopsy underwent 3-T pelvic diffusion-weighted magnetic resonance imaging with b values of 0 and 800 s/mm 2 prospectively. ADC-based entropy-related parameters including first-order entropy and second-order entropies were derived from the whole tumor volume as well as adjacent normal cervical tissues. Intraclass correlation coefficient, Wilcoxon test with Bonferroni correction, Kruskal-Wallis test, and receiver operating characteristic curve were used for statistical analysis.

Results

All the parameters showed excellent interobserver agreement (all intraclass correlation coefficients  > 0.900). Entropy, entropy(H) 0 , entropy(H) 45 , entropy(H) 90 , entropy(H) 135 , and entropy(H) mean were significantly higher, whereas entropy(H) range and entropy(H) std were significantly lower in cervical cancers compared to adjacent normal cervical tissues (all P <.0001). Kruskal-Wallis test showed that there were no significant differences among the values of various second-order entropies including entropy(H) 0, entropy(H) 45 , entropy(H) 90 , entropy(H) 135 , and entropy(H) mean. All second-order entropies had larger area under the receiver operating characteristic curve than first-order entropy in differentiating cervical cancers from adjacent normal cervical tissues. Further, entropy(H) 45 , entropy(H) 90 , entropy(H) 135 , and entropy(H) mean had the same largest area under the receiver operating characteristic curve of 0.867.

Conclusion

Whole-lesion ADC-based entropy-related parameters of cervical cancers were developed successfully, which showed initial potential in characterizing intratumoral heterogeneity in comparison to adjacent normal cervical tissues.

Introduction

According to the World Cancer Report 2014 of the World Health Organization (WHO), uterine cervical cancer is the fourth most common cancer and the fourth leading cause of cancer mortality in women across the globe. Cervical cancer exhibits various kinds of heterogeneity on both genetic and histopathologic levels such as gene expression, metabolism, angiogenesis, proliferative potential, and cellular morphology . Previous studies have shown that cervical cancers with high intratumoral heterogeneity may have poorer prognosis . Thus, assessing tumor heterogeneity accurately before therapy is of utmost importance for dedicated evaluation, treatment planning, and prognosis prediction in patients with cervical cancers. However, the goal of accurate assessment of tumor heterogeneity through routine clinical procedure such as biopsy cannot be achieved because the procedure only reflects features within a small sample of the entire tumor. Fortunately, multiple image modalities, such as magnetic resonance (MR) imaging and positron emission tomography/computed tomography (PET/CT), have been widely used clinically for preoperative staging or follow-up, which hold great potential to assess the heterogeneity of the tumor as a whole from very different and important perspectives. For example, PET reflected the heterogeneity in terms of metabolism and dynamic contrast-enhanced MR imaging investigated it in terms of angiogenic processes .

Diffusion-weighted (DW) MR imaging (DWI) has been used more and more widely with versatile applications in various diseases, especially in female pelvic tumors including cervical cancer . DWI could reflect the motion of water molecules constrained by tissue ultrastructures noninvasively in a quantitative term of apparent diffusion coefficient (ADC) value, which underwent great change during carcinogenesis . DWI therefore has the potential to assess tumor heterogeneity of cervical cancers from a certain perspective of cellular morphology and tissue ultrastructures.

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Materials and Methods

Study Population

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MR Examination

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Volume of Interest (VOI) Obtaining

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Figure 1, (a) Apparent diffusion coefficient (ADC) map with the outlines of the lesion ( black arrow ) and normal cervical tissues ( white arrow ) of a 45-year-old woman with Federation of Gynecology and Obstetrics (FIGO) stage IIIB cervical cancer. (b) ADC map with the outlines of the lesion ( black arrow ) and normal cervical tissues ( white arrow ) of a 45-year-old woman with FIGO stage IVA cervical cancer.

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Parameter Acquisition

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entropy=−∑G−1i=0pilog(pi) entropy

=

i

=

0

G

1

p

i

log

(

p

i

)

where G is the number of gray levels within the VOI. p i represents the probability of gray level i across the VOI and is computed by dividing the number of the gray level i by the total pixel number within the VOI. First-order entropy is a statistical measure of variation of gray levels so that it equals to 0 when all values are the same within the VOI and increases as data present larger variation.

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Figure 2, The illustration of a pair of pixels i and j with a distance of d pixels in a certain direction θ in one slice of image. The relationship of the two pixels with different d and θ is shown as follows: (a) d = 1, θ = 0 ° , (b) d = 1, θ = 45 ° , (c) d = 1, θ = 90 ° , (d) d = 1, θ = 135 ° .

Figure 3, Explanation of the calculation process of gray-level co-occurrence matrix (GLCM). The GLCM is calculated from the image by counting the number of times that a pair of pixels with a certain distance of d pixels in a certain direction θ occurs in the image. For simplicity, let the grid of numeric gray-levels (a) represent a 3 × 3 image with 2 gray levels. For distance d = 1, direction θ = 0 ° , GLCM (b) is calculated from the grid. Take the GLCM element in row 1, column 2 for example (circle in (b) ). There are two pairs of pixels (circle in (a) ) which are separated by the distance of 1 pixel in direction 0 ° with gray levels equaling to 1 and 2, respectively. As a result, GLCM element in row 1, column 2 equals to 2.

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entropy(H)=−∑G−1i=0∑G−1j=0p(i,j)log(p(i,j)) entropy

(

H

)

=

i

=

0

G

1

j

=

0

G

1

p

(

i

,

j

)

log

(

p

(

i

,

j

)

)

where p(i,j) p

(

i

,

j

) is computed by dividing the GLCM element in row i column j by the sum of all GLCM element. In addition, we calculated the average value, the gap between the maximum and minimum value, and the standard deviation of the entropy(H) 0 , entropy(H) 45 , entropy(H) 90 , and entropy(H) 135 , namely, entropy(H) mean , entropy(H) range , and entropy(H) std.

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Statistical Analysis

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Results

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Table 1

Inter- and Intra-Observer Agreement for Measurements of Whole-Lesion Entropy-Based Parameters of Apparent Diffusion Coefficient (ADC) Values in Benign and Malignant Cervical Tissue

Parameters Malignant Cervical Tissue Benign Cervical Tissue ICC (inter) ICC (intra) ICC (inter) ICC (intra) Entropy 0.962 (0.950–0.972) 0.995 (0.990–0.997) 0.955 (0.943–0.966) 0.964 (0.937–0.980) Entropy(H) 0 0.975 (0.974–0.992) 0.985 (0.974–0.992) 0.966 (0.958–0.975) 0.950 (0.913–0.972) Entropy(H) 45 0.982 (0.972–0.991) 0.984 (0.972–0.991) 0.970 (0.961–0.982) 0.950 (0.913–0.972) Entropy(H) 90 0.980 (0.973–0.991) 0.985 (0.973–0.991) 0.972 (0.961–0.983) 0.949 (0.911–0.971) Entropy(H) 135 0.978 (0.972–0.991) 0.984 (0.972–0.991) 0.965 (0.953–0.976) 0.950 (0.912–0.972) Entropy(H) mean 0.986 (0.972–0.991) 0.984 (0.972–0.991) 0.983 (0.971–0.992) 0.950 (0.913–0.972) Entropy(H) range 0.971 (0.941–0.981) 0.967 (0.941–0.981) 0.960 (0.949–0.971) 0.946 (0.904–0.970) Entropy(H) std 0.968 (0.951–0.984) 0.972 (0.951–0.984) 0.962 (0.950–0.973) 0.935 (0.884–0.963)

ICC, intraclass correlation coefficient; intra, intraobserver agreement; inter, inter-observer agreement.

Numbers inside parentheses are 95% confidence interval.

ICC value: >0.81, excellent agreement; 0.61–0.80, good agreement; 0.41–0.60, fair agreement; <0.40, poor agreement.

Table 2

Whole-Lesion Entropy-Based Parameters of Apparent Diffusion Coefficient (ADC) Values in Benign and Malignant Cervical Tissue

Parameters_n_ Malignant Cervical Tissue Benign Cervical Tissue_P_ value \* Entropy 51 6.04 (5.54, 6.24) 5.02 (4.62, 5.33) <.0001 Entropy(H) 0 51 10.73 (8.95, 11.61) 8.02 (7.27, 8.60) <.0001 Entropy(H) 45 51 10.74 (9.10, 11.61) 8.16 (7.45, 8.71) <.0001 Entropy(H) 90 51 11.71 (9.00, 11.60) 7.97 (7.38, 8.63) <.0001 Entropy(H) 135 51 10.75 (9.10, 11.62) 8.16 (7.48, 8.70) <.0001 Entropy(H) mean 51 10.73 (9.04, 11.62) 8.12 (7.41, 8.65) <.0001 Entropy(H) range 51 0.08 (0.04, 0.15) 0.22 (0.14, 0.29) <.0001 Entropy(H) std 51 0.04 (0.02, 0.07) 0.10 (0.06, 0.13) <.0001

Data are given as median values. Numbers in parentheses are interquartile ranges.

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Figure 4, Boxplots of apparent diffusion coefficient (ADC) texture parameters for (a, b) cervical cancers and (c, d) normal cervical tissues. E, E0, E45, E90, E135, Emean, Estd and Eyishengrange are short for texture parameters of entropy, entropy(H) 0 , entropy(H) 45 , entropy(H) 90 , entropy(H) 135 , entropy(H) mean , entropy(H) std , and entropy(H) range , respectively. Lines in boxes represent medians and the boundaries of the boxes represent lower and upper quartiles. + stands for outliers.

Figure 5, A 50-year-old female with cervical cancer confirmed by biopsy. (a) Axial diffusion weighted (DW) image (b value = 800 s/mm 2 ) with the outlines of the lesion ( white arrow ) and normal cervical tissue ( black arrow ). (b) Corresponding apparent diffusion coefficient (ADC) map with the outlines of the lesion ( white arrow ) and normal cervical tissue ( black arrow ) copied from (a) by the in-house software. Entropy, entropy(H) 0 , entropy(H) 45 , entropy(H) 90 , entropy(H) 135 , entropy(H) mean , entropy(H) std , and entropy(H) range of the cervical cancer are 6.19, 11.85, 11.86, 11.82, 11.86, 11.85, 0.02, and 0.04, respectively, whereas those of the normal tissues are 5.25, 8.60, 8.72, 8.62, 8.70, 8.66, 0.06, and 0.11, respectively.

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Table 3

Receiver Operating Characteristic Results of Whole-Lesion Entropy-Based Parameters of Apparent Diffusion Coefficient (ADC) Values for Distinguishing Benign and Malignant Cervical Tissues

Parameters AUC Sensitivity (%) Specificity (%) Cutoff Value_P_ value Entropy 0.833 85.4 79.2 5.40 <.0001 Entropy(H) 0 0.864 87.5 79.2 8.73 <.0001 Entropy(H) 45 0.867 87.5 79.2 8.81 <.0001 Entropy(H) 90 0.867 87.5 79.2 8.76 <.0001 Entropy(H) 135 0.867 87.5 79.2 8.84 <.0001 Entropy(H) mean 0.867 87.5 79.2 8.78 <.0001 Entropy(H) range 0.850 87.5 72.9 0.12 <.0001 Entropy(H) std 0.841 91.7 66.7 0.05 <.0001

AUC, area under the receiver operating characteristic curve.

Figure 6, Receiver operating characteristic (ROC) curves of (a) entropy, entropy(H) 0 , (b) entropy(H) 45 , entropy(H) 90 , (c) entropy(H) 135 , entropy(H) mean , (d) entropy(H) std and entropy(H) range in differentiation between cervical cancer and normal cervical tissues. Entropy(H) 45 , entropy(H) 90 , entropy(H) 135 , and entropy(H) mean have the same largest area under ROC curve (AUC) of 0.867. The AUCs of all other parameters are higher than 0.800. P <.0001.

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Discussion

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Acknowledgments

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