Martsenyuk V. Population dynamics models and methods in software environment of system medical investigations support

3. Object of investigation is pathologic process as set of pathologic and immune reactions arising as a response to damaging action of pathogenic factor. The purpose of work is to develop mathematical methods of system analysis of pathologic processes within the class of population dynamics equations and to implement them in software environment of system medical investigations support. There are used mathematical methods of system analysis and theory of optimal solutions. Software implementation is based on Java developer system and XML-technology. . Algorithm of system analysis of pathologic processes is stated. Classes of models to describe basic compartments of pathologic process are offered. There are solved problems of parameters identification of pathologic processes that are mostly Hilbert spaces elements. To estimate delay systems optimization method based on sensitivity functions is offered. There is developed investigation methods within Gompertzian dynamics models, immune system, bone tissue remodelling. Methods of linearization and Liapunov functionals were used. There were stated and solution methods were offered for control problems to construct optimal treatment schemes. Topics of nonlinear dynamics and bifurcations in models of pathologic processes were studied. Here we use both analysis of characteristic equations of linearized systems and numerical characteristics. There is developed conceptual model of software environment of system medical investigations support. Implementing it there is offered model of data structure in branch of system medical investigations and invented in terms of XML-technology. There is developed interface which is Web-integrated, user-oriented and adjustable. There are implemented mathematical methods of system analysis of pathologic processes in form of Java-classes hierarchy. There are developed software tools to execute system medical investigations, to prepare results obtained for presentation in Internet and visualization. Results are applied into scientific and educational work of medical schools and treatment work of series of hospitals.