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Molecular Oncology, Markers, Clinical Correlates |
Departments of Pathology [E. S., A. B., Y. S., S. K., M. B. R.] and Urology [A. S.], Carmel Medical Center and Technion-Bruce Rappaport Faculty of Medicine, Haifa 34362, Israel
| ABSTRACT |
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| INTRODUCTION |
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Fractal analysis is used in biology and medicine as a method for quantifying structural complexity (9 , 10) . Thus, irregularly tortuous contours and branching structures such as those seen in the tumor microvasculature, are best characterized by their fractal dimension. Recently, Baish and Jain (11) have reviewed the utility of fractal analysis in determining vascular complexity in malignant tumors. Planar imaging studies conducted by these authors on murine tumors, have shown that the vasculature of malignant tumors exhibits higher fractal dimensions computed by the box-counting method, as compared with blood vessels of the normal organs of origin (12) . Fractal analysis of blood vessels in androgen-dependent mouse tumors revealed a decrease in the vascular architectural complexity with the removal of the androgen source (13) . Different fractal measuring methods based on power law behavior of the Fourier spectrum of gray-scale images were applied by Heymans et al. (14) to characterize the microvasculature in cutaneous melanomas. These authors showed that fractal analysis helps to objectively quantify differences in the tumoral microvessel profile of malignant melanoma (14) .
The prognostic role of microvessel architectural complexity as assessed by microscopy has not yet been established for any malignant neoplasm. This study is the first to determine whether the degree of vascular complexity has predictive value in the prognosis of RCC patients. The second aim of this study is to objectively determine by computer morphometry whether MVD has prognostic significance in RCC. The complex relationships between tumor vascular parameters, tumor grade, and prognosis are also discussed.
| MATERIALS AND METHODS |
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Immunohistochemical Staining.
Tissue sections were immunohistochemically stained using monoclonal antibodies for the endothelial marker CD34 (QBEnd/10,1:20; Signet Laboratories, Inc., MA, USA). Sections were microwave pretreated in citrate buffer (pH 6.0) for antigen retrieval. Endogenous peroxidase activity was blocked using 3% H2O2 in methanol. Sections were washed and blocked with goat serum for 10 min and incubated with the primary antibody for 1 h at room temperature. Immunohistochemical detection was performed using the labeled streptavidin biotin complex method (Histostain Plus Bulk Kit; Zymed Laboratories, Inc., San Francisco, CA). AEC (3-amino-9-ethylcarbazole) was used as a chromogen, and slides were counterstained with hematoxylin. Negative controls were comprised of supplementing the primary antibody with an isotype control. Blood vessel contours were highlighted by an intense reddish staining easily discernible from other background elements.
MVD.
The MVD was computed using a computerized image analysis system composed of a trichip RGB video-camera (Sony, Japan) installed on a light microscope (Zeiss, Germany) and attached to an IBM-compatible personal computer (Pentium III, MMX, 450mhz, 125 MB RAM) equipped with a frame grabber. Histological images were captured, digitized, and displayed on a high-resolution color 17-inch monitor. The five most vascularized microscopic fields ("hot spots") of the RCC tumors were selected for analysis using a medium-sized magnifying lens (x100) and loaded onto a 760 x 570-pixels buffer with an area of 291.7 mm (2)
. The MVD parameter was measured using the Image Pro Plus 4 image analysis software (Media Cybernetics, Silver Spring, MD). MVD is presented as the mean percentage of the vessel area per microscopically computerized field.
Fractal Analysis of Microvessels.
The box-counting method is widely used for calculating image fractal dimensions. This method allows for the determination of the fractal dimension of both scale-invariant and self-similar structures. To estimate the box-dimension, the Euclidean space containing the image is divided into a grid of boxes of size "s." Then, the size, s, is changed to progressively smaller sizes, and the corresponding number of nonempty boxes are counted [N(s)]. The sequence of mesh sizes for grids is usually reduced by a factor of one-half from one grid to the next. The logarithm of N(s) versus the logarithm of 1/s gives a line whose gradient (slope) corresponds to the box dimension. Accordingly, a computer algorithm was programmed implementing the box-counting method (17)
to compute the fractal dimensions of the microvessels visualized within the hot-spot microscopic fields.
The box-counting fractal dimension of each microscopic field is given by
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is the side length of the box, and N(
) is the smallest number of boxes of side-length
required to completely cover the outlines of the vessels within the microscopic field. Because the limit 0 cannot be applied to natural objects or physical representations of mathematical fractal objects, the dimension was calculated by:
, where d is the slope of the graph of log [N(
)] against log [1/
]. As a measure of the goodness-of-fit of this relationship, the coefficient of determination (R2) was computed in each case, presenting values of R2 >0.95.
The fractal dimension values range between 1 and 2. For classical geometric shapes such as a line, a square and a cube, the fractal dimension is identical to the classic (Euclidean) dimension, being 1 for the line, 2 for square, and 3 for a cube. However, a geometrical structure with a complex (tortuous) contour is best represented by the fractal dimension that is a rational number. The more branched and tortuous is the contour of the blood vessels in RCC, the larger is the fractal dimension. The higher the vessel complexity (displaying branching and tortuous vessels), the closer to 2 is the fractal dimension value. The mean values of the fractal dimensions (MFDs) of all of the fields analyzed per case were used for statistical evaluation.
The box-counting method for computing the MFD was applied to the same hot-spot microscopic fields used for the MVD determination.
The MFD was computed in the RCC tumors as well as in the vascular network surrounding the proximal tubules of nontumorous kidney away from the primary tumor mass.
Statistical Analysis.
Univariate comparisons between continuous parametric groups were performed using the paired or unpaired t test, as appropriate. The equality of variances was tested using the Levenes test. Multiple parametric groups were compared using ANOVA and then the Bonferroni post hoc test. The multivariate logistic regression model was used to examine the relationship between vascular parameters, grade, and the presence of tumor necrosis. Kaplan-Meier curves were constructed, and the log-rank test was used for univariate survival analysis of the vascular parameters. Multivariate survival analysis of vascular and other parameters (e.g., age, gender, and grade) was performed using Coxs proportional hazard regression model, operating in a forward stepwise mode. Two-tailed Ps of
0.05 were considered to be statistically significant.
| RESULTS |
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A significant correlation was found between tumor grade and poor prognosis (P = 0.04; log-rank test). Thus, by the end of the follow-up period, lower survival rates were seen in high-grade (74%) than in low-grade tumors (96%). A significant correlation was found between the extent of tumor necrosis and patient prognosis. Patients with tumors exhibiting no or <25% macroscopic necrosis showed higher survival rates (97%) than patients with tumors with >25% necrosis (31%; P = 0.0001).
Tumor Microvascular Density.
Representative CD34-stained sections of RCCs with low and high MVD values are seen in Fig. 1
. Although MVD was higher in low-grade as opposed to high-grade tumors (MVD = 11.5 ± 3.5% versus 9.4 ± 5.2%), the difference was not statistically significant (P = 0.12; Table 1
). Non-necrotic tumors were more vascularized (MVD = 10.9 ± 4.4%) as compared with necrotic tumors (MVD = 7.15 ± 4.6%; P = 0.03; Table 1
). Survival analysis revealed that MVD was higher in patients who survived longer than 5 years (MVD = 10.8 ± 4.7%) as compared with those who died before the end of the 5-year follow-up period (MVD = 6.4 ± 3.7%; P = 0.03; Table 1
). As seen in Fig. 2
, a best-cutoff point of MVD = 10% was detected according to which patients with tumors exhibiting a MVD of >10% had better survival rates (96%), as compared with tumors with MVD
10% who present lower survival rates (72%; P = 0.02; log-rank test).
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1.55% (P = 0.03; log-rank test).
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Multivariate logistic regression analysis revealed that the MFD was the only significant independent factor associated with the extent of tumor necrosis. The Cox proportional hazard model was applied to all of the variables included in the study. The extent of tumor necrosis was the only independent significant predictor of patient survival (P = 0.002; ß = 0.88; relative risk = 2.42).
| DISCUSSION |
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Tumor angiogenesis is a dynamic process mediated by vascular growth factors and their receptors (20 , 21) . Complex modulating interactions between tumor cells, endothelial cells, and matrix metalloproteinases establish the final density and complexity of the tumor microvasculature (20) . Quantitation of the MVD in various solid malignant tumors provides an indication for the risk of developing metastases (22) as well as for patient survival (1) . In numerous malignant tumors, it has been demonstrated that abundant tumor vascularity is associated with greater risk of tumor progression (23) . It is generally accepted that tumors which lack the ability to induce adequate neovascularization are associated with limited growth and invasive potential. The prognostic significance of tumor MVD in RCC patients is controversial. In contrast to other neoplasms, certain studies describe an inverse correlation between MVD and the histological grade (7) and a positive correlation with patient survival (2 , 3) . Others (4 , 5) reported a negative correlation between MVD and survival, and one study did not find any statistical correlation between MVD and prognosis (6) .
Our findings that increased tumor MVD is associated with lower tumor grade and improved patient survival support the findings of Delahunt et al. (2) , and Herbst et al. (3) and are somewhat paradoxical. It is not clear why poorly vascularized RCC tumors exhibit a worse prognosis. In this respect, RCC differs from other solid malignancies. Certain hypotheses addressing this paradox have been attempted. Kohler et al. (7) suggested that the decreased MVD in high-grade RCCs reflects the inability of tumor neovascularization to keep pace with the proliferation of the high-grade tumor cells, and increased tumoral vessel permeability may compensate for their reduced amount. An additional mechanism explaining this paradox may be related to architectural remodeling of the tumor vascularity influenced by tumor progression (2) . Thus, in high grade tumors, the development of large vascular channels within a tumor would have the effect of decreasing the measured MVD values without necessarily altering the total vascular area and blood supply of these tumors (2) . Herbst et al. (3) considered the RCC microvasculature as a potential parameter of tumor differentiation. The renal tubular system is closely associated with a highly vascularized stroma, and inasmuch as RCC originates from the renal proximal tubular system, it is not surprising that a well-differentiated, low-grade RCC has an abundant vascular stroma (3) . Finally, this paradox may be related to the architectural pattern of the tumor growth characteristics of RCC, which is in contrast with the growth patterns of other tumors where MVD is strongly associated with aggressive behavior such as carcinoma of the breast. Breast carcinomas have an infiltrative pattern of growth, whereby tumor epithelial/host stromal interactions play a key role in tumor progression. In these tumors, increased stromal angiogenesis will lead to a more rapidly infiltrating tumor. RCC typically grows as a well-demarcated bulging mass with a delicate vascular stroma. A well-vascularized RCC will continue to enlarge slowly as a mass lesion. A high-grade solid RCC enlarges more rapidly, overcoming its vascular network and decreasing its architectural complexity. A poorly vascularized tumor will become hypoxic and necrotic. As the tumor becomes necrotic, viable tumor cells may gain access to the vascular system, leading to tumor dissemination. Our observation that, subsequent to multivariate analysis, macroscopic tumor necrosis was the only independent, poor prognostic factor supports this hypothesis further.
An additional characteristic of tumor angiogenesis to be considered is the degree of vascular complexity. A recent review of tumor angiogenesis emphasized the importance of vascular architectural complexity in cancer biology (11) . Heymans et al. (14) recently reported that malignant melanomas have distinct patterns of vessel complexity as measured by fractal analysis. In experimental tumor models, Baish and Jain (13) showed that malignant tumors have a much higher vascular complexity as compared with normal vasculature. Our findings that the MFD was always higher in RCC then in the adjacent normal kidney supports these observations. Fractal analysis of the architectural vascular network in RCC showed that a complex RCC vasculature correlates with lower grade and better prognosis. How can we elucidate our observation that tumors with increased MFD, i.e., more chaotic or random vessel branching, behave better than those with lower MFD? The more complex vascular pattern defined by increased MFD may reflect a more complete vascularization of the tumor, albeit a disordered vasculature. This explanation is also consistent with our findings that increased MVD correlates with improved patient survival, as described earlier. The fact that the only independent parameter to significantly correlate with the extent of tumor necrosis was the degree of RCC vascular complexity provides additional support of this theory.
In summary the analysis of tumor microvascular complexity may provide additional prognostic information as well as shed light on the complex interactions between tumor angiogenesis and growth.
| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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1 To whom requests for reprints should be addressed, at Department of Pathology, Carmel Medical Center, 7 Michal Street, Haifa 34362, Israel. Phone: 972-4-825-0845; Fax: 972-4-825-0816; E-mail: resnick_murray{at}clalit.org.il ![]()
2 The abbreviations used are: MVD, microvessel density; RCC, renal cell carcinoma; MFD, microvessel fractal dimension. ![]()
Received 10/13/00; accepted 1/ 5/01.
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