Vakulenko D. MODELING AND SYSTEM ANALYSIS OF BONE TISSUE PROCESS

In the chapter 1 are present review over 100 articles and conference material. Discuss direction in the mathematical and information model of the bone tissue reconstruction. In the chapter 2 existing approaches to investigating and modeling bone tissue are considered. The simplest model of bone tissue remodeling is presented. In this model there are taken into account the following factors - osteocytes, osteoblasts and osteoclasts populations, matrix density. Qualitative analysis is fulfilled. Stationary solutions are found. Model presented is investigated for solutions stability. Qualitative investigation of bone tissue remodeling is also fulfilled with numerical integration. Еxisting approaches to investigating and modelling bone tissue are considered. The model of bone tissue remodelling оn base of nonlinear partial differential equation is presented. In this model there are taken into account the following factors - osteocytes, osteoblasts and osteoclasts populations, matrix density. Qualitative investigation of bone tissue remodelling is also fulfilled with numerical integration using FEMLAB software. Stationary solutions are shown. In the chapter 3 task modeling medication and physiotherapy of bone tissue remodeling is presented. In this model there are taken into account the following factors - osteocytes, osteoblasts and osteoclasts population, matrix density. This approach is fulfilled with numerical integration using VisSim software. In the chapter 4 are present review information system. Developments are software for support system investigation of bone tissue reconstruction, optimal control medication and physiotherapy of bone tissue remodeling. For realize these software and calculation are used Java language, FEMLAB software, VisSim software, Borland Delphi 6, MATLAB7.1, FEMLAB 3.2, Mathcad 12, UML. Keywords: Mathematical modeling, model reconstruction bone tissue, optimal control medication and physiotherapy.