SELECTED PUBLICATIONS

• Stratification of General Population and its Application in the Analysis of Resistant Tumor Cells (with D.A. Klyushin, Yu.I. Petunin, A. German, M. Savkina) Proc. International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences: 490-494 (2003).
• Analysis of Malignancy-Associated DNA Changes in the Nuclei of Buccal Epithelium in the Pathology of the Thyroid and Mammary Glands (with Klyushin, Petunin, Boroday, Ganina), Annals N.Y. Acad. Sciences, v. 980, 1-12, 2002.
• Diagnosis of Breast cancer by the Modified Nearest Neighbor Recognition Method (with Klyushin, Petunin, Lysyuk, Boroday), Proc. Intl. Conf. on Math and Eng. Techniques in Medicine and Biological Sciences, v.1, 176-189, 2002.
• A Variational Method for Eigenvalue Problems Nonlinearly Dependent on the Spectral Parameter (with Slastikov), Nonlinear Analysis, v.47, 3561-3566, 2001.
• Computer-Aided Diagnosis of Breast Cancer and Fibroadenomatosis Based on Malignancy Associated Changes in Buccal Epithelium (with Petunin, Klyushin, Ganina, Boroday), Automedica, v.19, No. 3-4, 135-164, 2001
• Retrospective Linear Regression Analysis of Survival Data for Patients Suffering from Malignant Melanoma (with Petunin, Klyushin, Naleskina), Applied Statistical Sciences IV, M. Ahnsanullah (ed.), Nova Science Publ., 139-158, 1999.
• Mathematical Background of the Computer-Aided Method of Diagnosis of Cancer based on the Analysis of Malignancy Associated Changes in Buccal Epithelium (with Petunin, Klyushin, Savkina), Proc. XIII Summer School on Biometrics, 203-215, 1998.
• Higher Symmetries of the Wave Equation with Scalar and Vector Potentials (with Nikitin), Proc. Second International Conference on Symnmetry in Nonlinear Mathematical Physics, v.2, 321-327, 1997.
• Nonlinear Algorithm of Pattern Recognition (with Petunin, Klyushin), Nonlinear Analysis, v.30, 5431-5436, 1997.
• On the Spectral Theory of Operator Pencils in a Hilbert Space, J. Nonlinear Mathematical Physics, v.2, 356-365, 1995.
• Geometric Quantization of Neuman-type Completely Integratable Hamiltonian Systems, J. Mathematical Physics (with Mykytiuk, Prykarpatsky, Samoilenko), v.35, 1532-1548, 1994.
• Algebraic Structure of the Gradient-Holonomic Algorithm for Lax-integrable Nonlinear Dynamica Systems (part II), (with Prykarpatsky, Samoilenko, Mitropolsky, Prytula), J. Mathematical Physics, v.35, 2237-2265, 1994.
• Algebraic Structure of the Gradient-Holonomic Algorithm for Lax-integrable Nonlinear Dynamica Systems (part I), (with Prykarpatsky, Samoilenko), J. Mathematical Physics, v.35, 1763-1777, 1994.
• Two Boundary Model for Freezing Processes in Living Tissue (with Gafiychuk, Lubashevskii), Proc. 14th IMACS World Congress on Computational and Applied Mathematcis, v.2, 546-548, 1994.
• Iterative Method for a Class of Nonlinear Eigenvalue Problems, Applicable Analysis, v.51, 211-220, 1993.
• A Trace Identity and Its Application to Integrable Systems of 1+2 Dimensions (with Tue, Huang), J. Mathematical Physics, v.32, 392-396, 1991.
• Mathematical Modeling of Freezing Front Propagation in Biological Tissue, Mathematical and Computer Modeling, v.13, 1-9, 1990

BOOK REVIEW

• Bulletin of the American Mathematical Society, 221-228, July 1991. /V.M. Filippov, Variational Principles for Nonpotential Operators, Transl. Mathematical Monographs, American Mathematical Society, v.77, American Mathematical Society/.