Stratification analysis of morphometric indices of populations of cancer cells with the phenotype of drug resistance

Abstract

A new method of stratification analysis of general populations is proposed that is based on the approximation of inverse empirical distribution functions. With the help of the methods developed, it is shown that the number of modal classes in a heterogeneous population equals the number of segments of a linear regression spline. The proposed method is used for the investigation of populations of cancer cells that are sensitive or resistant to cisplatin.

Group-membership recognition methods based on confidence boundaries and their testing in clinical oncology

“…where x is the sample mathematical expectation [6]. Thus, we have ( , , , another, then their intersection is eliminated from each interval.…”

“…In particular, the significance of the factor x 17 (the use of polyvitamins) takes the first place in the group of patients with unburdened anamneses, whereas the same factor takes only the sixteenth place in the group of persons with burdened anamneses; x 1 (the age of a patient) takes the second place in the group with unburdened anamneses and takes the eleventh place in the group with burdened anamneses; x 18 (the use of hormonal preparations) takes the third place for patients with unburdened anamneses and the fifteenth place for Body mass index x 3 Size of tumor, cm x 4 Presence of metastases, 0 (no) and 1 (yes) x 5 Presence of previous benign changes in mammary glands, 0 (no) and 1 (yes) x 6 Presence of cardiovascular diseases, 0 (no) and 1 (yes) x 7 Presence of digestive apparatus diseases, 0 (no) and 1 (yes) x 8 Presence of diseases of organs of the reproductive system, 0 (no) and 1 (yes) x 9 Presence of oncological diseases, 0 (no) and 1 (yes) x 10 Presence of endocrine system diseases, 0 (no) and 1 (yes) x 11 Smoking, 0 (no) and 1 (yes) x 12 Preference for coffee, 0 (no) and 1 (yes) x 13 Prevalence of food of animal origin, 0 (no) and 1 (yes) x 14 Prevalence of plant foods, 0 (no) and 1 (yes) x 15 Full value food as to the amounts of vitamins and micronutrients, 0 (no) and 1 (yes) x 16 Use of vitamins of the group B, 0 (no) and 1 (yes) x 17 Use of polyvitamins, 0 (no) and 1 (yes) x 18 Use of hormonal preparations, 0 (no) and 1 (yes) x 19 Use of medicaments, 0 (no) and 1 (yes) x 20 Mitoses, 0 (no), 1 (single mitoses), 2 (moderate amount of mitoses), 3 (considerable amount of mitoses) x 21 Degree of malignancy of a tumor, 1 (1st degree), 2 (2nd degree), and 3 (3rd degree) x 22 Climax duration (years) x 23 Number of childbirths x 24 Number of abortions x 25 Number of relatives with malignant neoplasms patients with unburdened anamneses; x 24 (abortions) takes the fourth place in the group with unburdened anamneses and the twentieth place in the group with burdened anamneses; the significance of x 6 (cardiovascular diseases) takes the first place for patients with burdened anamneses and only the eighteenth place for patients with unburdened anamneses; x 3 (the tumor size) takes the second place for patients with burdened anamneses and the fourteenth place for patients with unburdened anamneses; x 9 (oncological diseases) takes the third place for patients with burdened anamneses and the thirteenth place for those with unburdened anamneses, and x 4 (metastases) takes the fourth place for patients with burdened anamneses and the seventh place for patients with unburdened anamneses. All the factors considered (except for x 4 ) notably differ in the degree of their signific...…”