V. P. Martsenyuk, I Ye. Andrushchak


The work presents our results in field of application of system analysis methods to problem of medical research. We emphasize effects of uncertainty that should be taken into account in such complex processes. Medical system research requires information support system implementing data mining algorithms resulting in decision trees or IF-THEN rules. Besides that such system should be object-oriented and web-integrated.

The aim of this study was to develop information support system based on data mining algorithms applied to system analysis method for medical system research. System analysis methods were used for qualitative analysis of diseases mathematical models. Algorithms such as decision tree induction and sequential covering algorithm were applied for data mining from learning data set.

We observed the complex qualitative behavior of population and diseases models depending on parameters and controllers even without considering probabilistic nature of the most of quantities and parameters of information models.


Keener J. Mathematical Physiology / J. Keener, J. Sneyd. - New York : Springer Verlag, 1998. - 768 p.

Mathematical modelling in immunology and medicine / Ed. by G. I. Marchuk, L. N. Belykh // IFIP TC-7 Working Conf. (5-11 July, 1982, Moscow). - Amsterdam, New York, Oxford : North-Holland, 1983.

Martsenyuk V. P. On Hopf bifurcation and periodic solutions in G. I. Marchuk model of immune protection / V. P. Martsenyuk // Journal of Automation and Information Sciences. - 2003. - Vol. 35, No. 8.

Martsenyuk V. P. On stability of immune protection model with regard for damage of target organ: the degenerate Lyapunov functionals method / V. P. Martsenyuk // Cybernetics and Systems Analysis. - 2004. - Vol. 40, No. l.-P. 126-136.

Martsenyuk V. P. On the problem of chemotherapy scheme search based on control theory / V. P. Martsenyuk // Journal of Automation and Information Sciences. - 2003. -Vol. 35, No. 4.

Martsenyuk V. P. Qualitative analysis of human cells dynamics: stability, periodicity, bifurcations, control problems /V. P. Martsenyuk //Adv. Math. Res. - 2003. -Vol. 5, No. 1. - P. 137-200.

Martsenyuk V. P. Taking into account delay in the problem of immune protection of organism / V. P. Martsenyuk // Nonlinear Analysis: Real World Applications. - 2001. -Vol. 2, No. 4. - P. 483A196.

Murray J. M. Mathematical Biology / J. M. Murray. - New York : Springer-Verlag, 1989. - 768 p.

Nakonechnyi A. G. Controllability problems for differential Gompertzian dynamic equations / A. G. Nakonechnyi, V. P. Martsenyuk // Cybernetics and Systems Analysis. -2004. - Vol. 40, No. 2. - P. 252-259.

DOI: http://dx.doi.org/10.11603/mie.1996-1960.2016.4.7055


  • There are currently no refbacks.

ISSN: 1996-1960
Open Archives Initiative