Issue 1 (187), article 6


Kibern. vyčisl. teh., 2017, Issue 1 (187), pp.80-96

Kiforenko S.I., leading researcher at the Department of mathematical and technical methods in biology and medicine

International Research and Training Center for Information Technologies and Systems of the NAS of Ukraine and Ministry of Education and Science of Ukraine,
av. Acad. Glushkova, 40, Kiev, 03680, Ukraine


Introduction. In recent years there have been fundamental changes in the understanding of the requirements for the possibilities of using mathematical models. Now the model can not be seen as a self-contained object of research but as well as an element of integrated formulation of task management. Thereby it becomes information technology tool to solve this problem. It is possible to use the simulation results not only to solve control problems, but also for wider use — in the development of information systems support decision making in medical treatment and diagnostic process.

The purpose of the article is to summarize the experience in the development of hierarchical modeling technology of the system regulation of blood glucose using models different levels of complexity in a single technological cycle.

Methods. Structural and functional modeling, hierarchical modeling, methods of synthesis of mathematical models, methods for parameter identification and verification of models, methods of control theory.

Results. On the example of the regulation of blood glucose system is developed hierarchical modeling technology, based on the simultaneous use in a single technological cycle mathematical models of various levels of complexity: MAX, MIDI, MINI. The first type — a high level of complexity of the model — MAX-model — the closest to the modern ideas about the laws regulating the functioning of the system — used to simulate the object of research. The second type — these are more simple models of research object — MIDI model, — are used for the synthesis of control actions and fulfil the prediction function. The third type — the models are still at a lower level of complexity. — MINI model. Differential equations of these models have the analytical solutions and therefore it can possibly to calculate the control actions and functions of the forecast for calculation formulas.

Conclusions. This arrangement extends the range of simulation tasks and allows to analyze, at the stages of theoretical research and pre-clinical testing, the various aspects of the synthesis and test the effectiveness of the control algorithms that are relevant in diabetology.

Keywords: hierarchical simulation, system regulation of blood glucose, control algorithms, preclinical testing.

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Recieved 30.12.2016