Karyometry in atypical endometrial hyperplasia: a Gynecologic Oncology Group study.

OBJECTIVES: Treatment for atypical endometrial hyperplasia (AEH) is based on pathologic diagnosis. About 40% of AEH is found to be carcinoma at surgery. This study's objective is to derive an objective characterization of nuclei from cases diagnosed as AEH or superficially invasive endometrial cancer (SIEC). METHODS: Cases from GOG study 167A were classified by a central pathology committee as AEH (n=39) or SIEC (n=39). High resolution digitized images of cell nuclei were recorded. Features of the nuclear chromatin pattern were computed. Classification rules were derived by discriminant analysis. RESULTS: Nuclei from cases of AEH and SIEC occupy the same range on a progression curve for endometrial lesions. Cases of AEH and SIEC both comprise nuclei of two phenotypes: hyperplastic characteristics and premalignant/neoplastic characteristics. The principal difference between AEH and SIEC is the percentage of premalignant/neoplastic nuclei. When this percentage approaches 50-60% superficial invasion is likely. SIEC may develop already from lesions at the low end of the progression curve. CONCLUSIONS: AEH comprises cases which may constitute a low risk group involving <40% of AEH cases. These cases hold a percentage of <20% of nuclei of a preneoplastic phenotype. AEH cases from the central and high end of progression have >40% of nuclei of preneoplastic phenotype. Nuclei of the preneoplastic phenotype in AEH lesions are almost indistinguishable from nuclei in SIEC, where this percentage exceeds 60%. The percentage of nuclei of the preneoplastic phenotype in AEH esions might serve as criterion for assessment of risk for the development of invasive disease.

Digital image analysis of breast epithelial cells collected by random periareolar fine-needle aspirates (RPFNA) from women at high risk for breast cancer taking hormone replacement and the aromatase inhibitor, letrozole, for six months.

Aromatase inhibitors are currently being evaluated as preventive agents in post-menopausal women at high risk for breast cancer. A phase II trial of 42 women on hormone replacement therapy (HRT) treated with letrozole for 6 months showed Ki-67 was reduced by 66% but showed no change in cytomorphology or Masood score. Subsequent image analytical procedures (karyometry) conducted on a subset of the samples captured subvisual information that showed reduced cellular abnormality after 6 months of letrozole. In the present study we expanded on the preliminary karyometry study to determine if the change in karyometric measurements corresponded to changes in risk biomarkers quantified in the Phase II trial; and secondly, whether these biomarkers might be used together to serve as markers of response in individual cases. Pap stained slides from the Phase II trial were used. Epithelial cell images were digitized on a CCD video-microphotometer and the nuclei were segmented from the field using a semiautomatic algorithm. Nine out of 37 cases analyzed showed a numerical decrease in all three markers, although only three of these exhibited changes substantial enough to be considered as an improvement. However, 12 cases showed improvement by cytology (a decrease in Masood score of at least 2), an additional 13 cases demonstrated a reduction in Ki-67 expression by 50% of the median baseline value, and an additional five cases exhibited a decrease of at least 10% in abnormal cells by nuclear morphometry. Thus, a total of 30 of 37 cases (81%) showed improvement in at least one marker. There was no correlation between changes in Ki-67%, karyometric abnormality, and Masood score change other than specimens that exhibited an improvement in cytology also displayed greater decreases in nuclear morphometry abnormalities. Given the heterogeneity of mechanisms leading to malignancy, the quantitative analysis of nuclear chromatin patterns may be valuable as a global, or integrating, biomarker of change in chemoprevention studies in conjunction with additional markers. Correlation with long term clinical outcome is needed to validate meaningful combinations of informative biomarkers.

Limits of detection of chemopreventive efficacy: karyometry of skin biopsies.

OBJECTIVE: This study was designed to establish estimates of the smallest effects due to chemopreventive intervention detectable by karyometry in skin biopsies. METHODS: Estimates of the smallest change of statistical significance and estimates of the power of the test were derived for several key features descriptive of the distribution of nuclear chromatin. Results from triplicate biopsies from the same case were used to provide estimates of the within-case, biopsy-to-biopsy variance. RESULTS: Generally, a change in feature value due to chemopreventive intervention can be statistically secured when it amounts to 5% to 10%. In clinical trials where matched baseline and end of study biopsies from the same cases are available, paired comparison ANOVA can detect a 2% change on samples of 25 cases. Establishing efficacy in individual cases requires a change in feature values on the order of 10% to 15%. CONCLUSIONS: Karyometry provides a sensitive, quantitative method for the assessment of efficacy of chemoprevention. The effects of within-case, biopsy-to-biopsy variance need to be considered only in the evaluation of individual cases and are on the order of 5% in skin biopsies.

Karyometry of the colonic mucosa.

OBJECTIVE: The study summarizes results of karyometric measurements in epithelial cells of the colorectal mucosa to document evidence of a field effect of preneoplastic development among patients with colorectal adenocarcinoma or adenoma. METHODS: Karyometric analyses were done on high-resolution images of histologic sections from 48 patients with colorectal adenocarcinomas and 44 patients with adenomas and on images from matching normal-appearing mucosa directly adjacent to such lesions, at a 1-cm and 10-cm distance from the lesions or from the rectal mucosa of adenoma patients, as well as from 24 healthy normal controls with no family history of colonic disease. RESULTS: The nuclei recorded in the histologically normal-appearing mucosa of patients with either colorectal adenoma or adenocarcinoma exhibited differences in karyometric features in comparison with nuclei recorded in rectal mucosa from patients who were free of a colonic lesion. These differences were expressed to the same extent in tissue adjacent to the lesions and in normal-appearing tissue as distant as the rectum. CONCLUSIONS: The nuclear chromatin pattern may serve as an integrating biomarker for a preneoplastic development. The field effect might provide an end point in chemopreventive intervention trials.

Chromatin phenotype karyometry can predict recurrence in papillary urothelial neoplasms of low malignant potential.

BACKGROUND: A preceding exploratory study (J. Clin. Pathol. 57(2004), 1201-1207) had shown that a karyometric assessment of nuclei from papillary urothelial neoplasms of low malignant potential (PUNLMP) revealed subtle differences in phenotype which correlated with recurrence of disease. AIM OF THE STUDY: To validate the results from the exploratory study on a larger sample size. MATERIALS: 93 karyometric features were analyzed on haematoxylin and eosin-stained sections from 85 cases of PUNLMP. 45 cases were from patients who had a solitary PUNLMP lesion and were disease-free during a follow-up period of at least 8 years. The other 40 were from patients with a unifocal PUNLMP, with one or more recurrences in the follow-up. A combination of the previously defined classification functions together with a new P-index derived classification method was used in an attempt to classify cases and identify a biomarker of recurrence in PUNLMP lesions. RESULTS: Validation was pursued by a number of separate approaches. First, the exact procedure from the exploratory study was applied to the large validation set. Second, since the discriminant function 2 of the exploratory study had been based on a small sample size, a new discriminant function was derived. The case classification showed a correct classification of 61% for non-recurrent and 74% for recurrent cases, respectively. Greater success was obtained by applying unsupervised learning technologies to take advantage of phenotypical composition (correct classification of 92%). This approach was validated by dividing the data into training and test sets with 2/3 of the cases assigned to the training sets, and 1/3 to the test sets, on a rotating basis, and validation of the classification rate was thus tested on three separate data sets by a leave-k-out process. The average correct classification was 92.8% (training set) and 84.6% (test set). CONCLUSIONS: Our validation study detected subvisual differences in chromatin organization state between non-recurrent and recurrent PUNLMP, thus allowing a very stable method of predicting recurrence of papillary urothelial neoplasms of low malignant potential by karyometry.

Phase IIB Randomized Study of Topical Difluoromethylornithine and Topical Diclofenac on Sun-Damaged Skin of the Forearm.

Prevention of nonmelanoma skin cancers remains a health priority due to high costs associated with this disease. Diclofenac and difluoromethylornithine (DFMO) have demonstrated chemopreventive efficacy for cutaneous squamous cell carcinomas. We designed a randomized study of the combination of DFMO and diclofenac in the treatment of sun-damaged skin. Individuals with visible cutaneous sun damage were eligible. Subjects were randomized to one of the three groups: topical DFMO applied twice daily, topical diclofenac applied daily, or DFMO plus diclofenac. The treatment was limited to an area on the left forearm, and the duration of use was 90 days. We hypothesized that combination therapy would have increased efficacy compared with single-agent therapy. The primary outcome was change in karyometric average nuclear abnormality (ANA) in the treated skin. Individuals assessing the biomarkers were blinded regarding the treatment for each subject. A total of 156 subjects were randomized; 144 had baseline and end-of-study biopsies, and 136 subjects completed the study. The ANA unexpectedly increased for all groups, with higher values correlating with clinical cutaneous inflammation. Nearly all of the adverse events were local cutaneous effects. One subject had cutaneous toxicity that required treatment discontinuation. Significantly more adverse events were seen in the groups taking diclofenac. Overall, the study indicated that the addition of topical DFMO to topical diclofenac did not enhance its activity. Both agents caused inflammation on a cellular and clinical level, which may have confounded the measurement of chemopreventive effects. More significant effects may be observed in subjects with greater baseline cutaneous damage.

Quantitative histopathology identifies patients with thin melanomas who are at risk for metastases.

This small exploratory study was designed to test the hypothesis that thin melanoma lesions contain nuclei of two similar phenotypes, in different proportions. In lesions likely to progress to metastatic disease, one of these phenotypes predominates. Histopathological sections from 18 cases of thin melanomas which did not progress to metastasis, and from 10 cases which did progress were imaged and digitized at high resolution, with a total of 2084 and 1148 nuclei, respectively, recorded. Five karyometric features were used to discriminate between nuclei from indolent and from potentially metastatic lesions. For each case, the percentage of nuclei classified by the discriminant function as having come from a potentially metastatic lesion was determined and termed as case classification criterion. Standard histopathological criteria, such as ulceration and high mitotic index, indicated in this material the need for intensive therapy for only one of the 10 participants, as compared with 7/10 identified correctly by the karyometric measure. Using a case classification criterion threshold of 40%, the overall accuracy was 86% in the test set. The proportion of nuclei of an aggressive phenotype may lend itself as an effective prognostic clue for thin melanoma lesions. The algorithm developed in this training set appears to identify those patients at high risk for metastatic disease, and demonstrates a basis for a further study to assess the utility of prognostic clues for thin melanomas.

High Proportion of Nuclear Phenotype Identifies Aggressive Cutaneous Squamous Cell Carcinoma.

OBJECTIVE: To develop a quantitative histopathology algorithm to predict which patients with cutaneous squamous cell carcinoma (cSCC) were likely to experience recurrence or metastases. STUDY DESIGN: This retrospective study of cSCC lesions compared patients with aggressive disease (n = 40) and those with nonaggressive disease (n = 35). Based on a previous study using nuclear karyometry, we determined that aggressive lesions had a high proportion of a specific nuclear phenotype. The proportion of those nuclei was used to derive an aggressiveness score for each lesion. The mean age of patients was similar in both groups, as were the locations of index lesions. RESULTS: The mean aggressiveness scorefor cases with aggressive lesions was 0.60 ± 0.21 and was 0.28 ± 0.35 for those with nonaggressive lesions. The overall accuracy in properly characterizing lesions was 72%. The area under the receiver operating characteristic curve was 0.80 ± 0.05. In general, the aggressive nuclear phenotype is represented by elevated levels of chromatin clumps and short linear segments of dark chromatin/intense pixels. CONCLUSION: These data suggest that discriminant functions may be utilized to distinguish between aggressive and nonaggressive lesions at the time of diagnosis.

Classification in karyometry: performance testing and prediction error.

Classification plays a central role in quantitative histopathology. Success is expressed in terms of the accuracy of prediction for the classification of future data points and an estimate of the prediction error. The prediction error is affected by the chosen procedure, e.g., the use of a training set of data points, a validation set, an independent test set, the sample size and the learning curve of the classification algorithm. For small samples procedures such as the "jackknife," the "leave one out" and the "bootstrap" are recommended in order to arrive at an unbiased estimate of the true prediction error. All of the procedures rest on the assumption that the data set used to derive a classification rule is representative for the diagnostic categories involved. It is this assumption that in quantitative histopathology has to be carefully verified before a clinically generally valid classification procedure can be claimed.

A randomized phase IIb presurgical study of finasteride vs. low-dose flutamide vs. placebo in men with prostate cancer. Efficacy monitored by karyometry.

OBJECTIVE: Presurgical, window of opportunity trials have been proposed as a model to assess the activity of preventive and therapeutic interventions in a cost-effective manner in prostate cancer (CaP). The aim of the study was to explore karyometry as a method for monitoring the efficacy of intervention with preventive agents in patients with CaP. MATERIALS AND METHODS: The material used in this investigation was from the 2F study, i.e., an Italian prospective randomized phase IIb presurgical study of finasteride vs. low-dose flutamide vs. placebo in men with CaP. Image analysis was performed in 16 cases treated with finasteride, 24 with flutamide, and 20 with placebo. For all these cases, CaP and normal looking secretory epithelium were present in the pretreatment biopsies as well as the post-treatment ex-vivo biopsies obtained from the radical prostatectomy specimens. RESULTS: To establish a direction of nuclear change from normal to malignancy, i.e., the so-called line of progression, a discriminant function was derived with the normal looking epithelium in the pretreatment biopsies as one endpoint, and the CaP in the pretreatment biopsies as the other. The discriminant function was then applied to the post-treatment groups. The increase in relative nuclear area was the dominant feature. In the placebo group, 15 out of 20 CaP (75%) cases had a higher discriminant function score at the end of study, with a significant increase of the mean score by 90%. The flutamide treated CaP cases had increased discriminant function scores in 19 out of 24 cases (79%) and an increase of the mean score by 43%; the 5 cases with lower scores involved only minor reductions. In contrast, the finasteride treated CaP cases had increased discriminant function scores for 8 out of 16 cases (50%), but the increase in the mean score was by only 8%. CONCLUSION: This exploratory study establishes that karyometric monitoring can track the results of subtle nuclear changes induced by preventive interventions in men with CaP, thus allowing assessment of agent activity in a cost-effective manner.

Karyometry of nuclear phenotypes in cutaneous squamous cell cancer.

OBJECTIVE: To establish the karyometric characteristics of the two main nuclear phenotypes in cutaneous squamous cell cancer (cSCC) lesions. STUDY DESIGN: The clinical materials comprised 75 cases of cSCC, 38 with aggressive lesions and 37 with nonaggressive lesions. High-resolution images of 100 nuclei per case were recorded. Data were partitioned into four subgroups covering the range of lesion progression. Four discriminant functions were derived to distinguish aggressive from nonaggressive lesions. The most typical nuclei from the phenotype predominant in aggressive lesions and nonaggressive lesions were separated out by thresholding on the discriminant function score axes. For these homogeneous sets of nuclei the karyometric features were computed. RESULTS: The nuclear populations in cSCC lesions are a very heterogeneous set. There are two axes of dispersion, along the line of lesion progression and between aggressive and nonaggressive lesions. The analysis faces the difficulty that lesions from both diagnostic categories contain nuclei of the same two phenotypes with the difference between categories consisting only of differences in proportion of the two phenotypes. CONCLUSION: The nuclei of the aggressive phenotype I and nonaggressive phenotype II have substantially different chromatin patterns and can be distinguished with > 90% correct recognition rate.

Nuclear morphometry identifies a distinct aggressive cellular phenotype in cutaneous squamous cell carcinoma.

By identifying aggressive cutaneous squamous cell carcinoma (cSCC) in patients who are at high risk for recurrences or second primaries after resection, intensive surveillance and therapy may decrease morbidity and mortality. We investigated the role of nuclear morphometry (karyometry) in differentiating between aggressive and nonaggressive cSCC. We retrospectively analyzed cSCC lesions from 40 male patients. Twenty-two patients had evidence of aggressive cSCC (local/regional recurrence or a second primary cSCC), and 18 patients were identified with similar ages and sites of disease as control patients with nonaggressive cSCC (no evidence of recurrence, metastasis, or second primary). We carried out karyometric analysis to identify nuclear features that discriminate between aggressive and nonaggressive cSCC nuclei. We used statistically significant differences (Kruskal-Wallis test, P < 0.0001) to compose a quantitative aggressive classification score (proportion of aggressive nuclei from 0% to 100%). For comparisons, we used Fisher's exact test or Student's t test. The mean age was 79 ± 7 years for aggressive cSCC and 80 ± 9 years for nonaggressive cSCC (P = 0.66). We analyzed a mean of 96 nuclei in each group. The mean classification score for aggressive cSCC was significantly higher (69% ± 6%) than for nonaggressive cSCC (28% ± 5%, P = 0.00002). Overall, the classification score accurately categorized 80% of our patients (P = 0.0004). In most patients, karyometry differentiated between aggressive and nonaggressive cSCC. We found that classification scores, which provide information on individual lesions, could be used for risk stratification.

Discriminant analysis.

OBJECTIVE: To present a fully worked numerical example for the derivation of a discriminant function in order to provide insight into the processing steps and origin of the function coefficients. STUDY DESIGN: The example begins with the reduction of a set of raw data to the values needed to calculate the variance/covariance matrix. Next the inversion of the covariance matrix by pivotal condensation is carried through. This is followed by the calculation of the coefficients. All calculations are carried out on a simple hand calculator. RESULTS: While discriminant analysis is routinely and widely used in the analysis of karyometric data, the process of deriving the discriminant function and its coefficients has not been demonstrated in detail, by a numerical example, in over 50 years. CONCLUSION: It is clearly not practical to conduct, by hand, a discriminant analysis on data sets as commonly encountered in karyometry. However, the use of a computer algorithm without a full understanding of the processing steps has always been deeply unsatisfactory. This tutorial article should remedy that situation.

Karyometry: correction algorithm for differences in staining.

OBJECTIVE: To describe an algorithm that allows the correction of differences in staining of histopathologic sections while preserving chromatin texture. STUDY DESIGN: In order to preserve the texture of the nuclear chromatin in the corrected digital imagery, it is necessary to correct the images pixel for pixel. This is accomplished by mapping each pixel's value onto the cumulative frequency distribution of the data set to which the image belongs, to transfer to the cumulative frequency distribution of the data set serving as standard and to project the intersection down onto the pixel optical density scale for the corrected value. RESULTS: Feature values in the corrected imagery, for the majority of features used in karyometry, are between < 1% and a few percent of the feature values in standard imagery. For some higher-order statistical features involving multiple pixels, sensitivity to a shift in the cumulative frequency distribution may exist, and a secondary small correction by a factor may be required. CONCLUSION: The correction algorithm allows the elimination of the effects of small staining differences on karyometric analysis.

Progression of skin lesions from normal skin to squamous cell carcinoma.

OBJECTIVE: To assess the changes in the nuclear chromatin pattern concomitant with progressive sun damage in skin biopsies ranging from sun-exposed, normal-appearing skin to squamous cell carcinoma (SCC). STUDY DESIGN: Biopsies were taken from 140 cases with sun-exposed but histopathologically normal skin, from 20 cases visually assessed as pre-actinic keratosis (pre-AK) or early AK, from 30 cases of AK, and from 21 cases of SCC. A total of 21,094 nuclei were recorded from these biopsies. High-resolution digital imagery was recorded, and features descriptive of the nuclear chromatin pattern were computed. Both supervised learning and unsupervised learning algorithms were employed to derive progression plots. RESULTS: With increased sun exposure, the proportion of nuclei exhibiting changes in the nuclear chromatin pattern rises notably. Using karyometry, no significant differences could be substantiated between nuclei collected from early AK sites and AK lesions. Cases of SCC fell into 2 distinct groups. A larger group (approximately 66.7% of cases) had characteristics similar to AK. A smaller group (approximately 33.3% of cases) represented much more progressed lesions. CONCLUSION: Karyometric assessment can provide a numeric measure of progression for sun damage and of the deviation from normal in both AK and SCC lesions.

Knowledge discovery processing and data mining in karyometry.

OBJECTIVE: To present the rationale for applying different sequences of multivariate analysis algorithms to determine if and where, in the large and high-dimensional data space, events have led to change in karyometric features. STUDY DESIGN: Clinical materials and results from the analysis of 4 studies were used: the demonstration of chemopreventive efficacy of letrozole in a situation where only a small subset of cells is affected, the detection of a preneoplastic lesion in colorectal tissue, data processing to document clues that predict risk of recurrence of a bladder lesion and the use of metafeatures and second-order discriminant analysis in a study of efficacy of vitamin A in the chemoprevention of skin lesions. RESULTS: Evidence for chemopreventive efficacy was demonstrated in the first example only after processing identified the small subpopulation of affected nuclei in a study of breast epithelial cells. Detection of a preneoplastic development is linked to a progression curve connecting nuclei from normal tissue to nuclei from premalignant colorectal lesions. The prediction of risk of recurrence of papillary bladder lesions is possible by detecting changes in nuclei of a certain phenotype. Efficacy of vitamin A as a chemopreventive agent for skin cancer could be demonstrated with a dose-response curve after a second-order discriminant analysis was employed. CONCLUSION: In none of these instances would the information of biologic interest have been revealed by a straightforward, single algorithmic analysis.

Actinic damage in histopathologically normal skin.

OBJECTIVE: To establish measures of sun damage in histopathologically normal skin. STUDY DESIGN: Biopsies were taken from the upper inner arm, representing skin with presumably minimum sun exposure, from skin of the forearm with no visible sun damage, from skin of the forearm with visible sun damage and from normal-appearing skin from the forearm of individuals who had sun exposure that had resulted in actinic keratosis (AK) lesions. In addition, a data set of nuclei from AKs was recorded. RESULTS: In histopathologically normal skin, monotonically increasing damage was observed in individuals with increased exposure to solar radiation. CONCLUSION: Karyometry can detect and statistically secure changes in skin due to solar exposure at a stage at which the skin is histopathologically determined to be normal.

Second order discriminant analysis in chemopreventive efficacy measurement.

OBJECTIVE: To describe the use of second order discriminant analysis as a classification methodology along with the underlying assumptions and sampling requirements, with special emphasis on the use of this analysis in chemopreventive efficacy studies. STUDY DESIGN: The discriminant function score distributions derived in an analysis of 2 diagnostic groups may show such overlap that a statistically significant difference in mean values cannot be shown and, more important, that a useful case-based classification cannot be attained. By using the discriminant function score distributions from each case, it is frequently possible to derive a second order discriminant function based on case-specific characteristics, rather than characteristics of nuclei, thereby attaining improved case classification. RESULTS: Second order discriminant analysis has proven very useful in the documentation of case-level efficacy in chemopreventive trials. In a study of orally administered vitamin A, a first order discriminant analysis did not achieve a statistically significant difference in the score distributions for nuclei, but a second order discriminant analysis allowed a correct recognition of intervention effects in 85% of submitted cases. In a chemopreventive study of triamcinolone, a similarly inadequate discrimination based on discriminant function scores for nuclei resulted. After a second order discriminant analysis, a reduction in solar-actinic damage could be shown in 14/15, or 93%, of treated cases. CONCLUSION: Second order discriminant analysis can be highly effective when the discriminating information offered at the nuclear level is inadequate due to high dispersion and small differences in mean values of discriminant function scores for the diagnostic groups. Second order analysis utilizes case-specific characteristics of the discriminant function score distributions to document diagnostic group separation and/or efficacy of chemopreventive intervention by a reduction in case discriminant function scores.

Karyometry in rectal mucosa of patients with previous colorectal adenomas.

OBJECTIVE: To determine whether karyometric measurements taken in biopsies from histologically normal-appearing rectal mucosa could serve as a biomarker for the risk of recurrence of polyps. MATERIALS AND METHODS: Biopsies were taken from the rectal mucosa of cases with a prior history of colonic polyps at the baseline of the study. In 57 cases recurrent polyps occurred (R cases); in 72 cases no recurrent disease was found at the end of the study (NR cases). From each biopsy 100 nuclei were recorded at high resolution. After segmentation, feature extraction and selection of a discriminating subset of features, a number of discriminant functions were derived. Also, measures of nuclear abnormality were computed. RESULTS: The differences in karyometricfeature values for nuclei from biopsies of cases with recurrent or nonrecurrent disease were very small and not notably expressed in the majority of nuclei. It was possible by focusing on nuclei showing clear deviations from normal to derive a discriminant function that exhibited a shift for the NR and R data sets. The distributions of discriminant function scores were then subjected to a second-order discriminant analysis to separate cases according to recurrence status. This function showed a statistically highly significant correlation with recurrence. At one extreme of its score distribution were 11 of 57 cases that had a recurrence, and at the other extreme were 8-10 of 72 cases that had no recurrence. The distributions of nuclear abnormality values for these subsets of cases were drastically different, with an average value of 1.72 for the group that may be at high risk for another recurrence and 1.02 for the group possibly at low risk. All cases with a prior history of colonic polyps showed a nuclear abnormality deviating from normal. CONCLUSION: Measurement of a sample of 100 nuclei from the rectal mucosa will suggest, for approximately 10% of cases, that a high risk for recurrence of adenomatous polyps exists and, for a slightly lower proportion, confirm that the nuclei deviate only slightly from those from individuals with no history of colonic polyps. For the majority of cases with a prior history of adenoma, the nuclei in the biopsy show a notable deviation from normal, but the deviation is practically the same for cases that had a recurrence and those that did not. However, a tentative discriminant function (DF I,3) derived from the characteristics of the extreme cases correctly classified approximately 64% of nonrecurrent and 83% of recurrent cases using a Bayesian decision boundary.

Karyometry of infiltrating breast lesions.

OBJECTIVE: To characterize nuclei from well-differentiated, moderately differentiated and poorly differentiated lesions of invasive breast cancer by karyometry and to test the hypothesis that these diagnostic categories form homogeneous sets. STUDY DESIGN: Histopathologic sections from 6 cases of well-differentiated, 11 cases of moderately differentiated and 17 cases of poorly differentiated ductal carcinomas were digitally recorded. From each case 100 nuclei were segmented and analyzed by karyometry. A discriminant analysis was performed, and nuclear and lesion signatures were computed. The nonsupervised learning algorithm P-index was applied. A progression curve per diagnostic category based on mean nuclear abnormality and a discriminant function score was derived. RESULTS: The well-differentiated lesions formed a homogeneous set, but both the moderately and poorly differentiated lesions showed 2 significantly different subpopulations with nuclei of substantially different nuclear abnormality and progression. CONCLUSION: The visual histopathologic diagnostic assessment of these lesions was based on an evaluation of both tissue architectural criteria and nuclear criteria. Here, only the pattern of nuclear chromatin was evaluated. Cases belonging to the same diagnostic category as assessed by their differentiation may be further characterized by the extent to which the nuclei deviate from normal. There was substantial case-to-case heterogeneity in these invasive lesions.