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ISSN 2410-7751 (Print)
ISSN 2410-776X (Online)

1 2018

"Biotechnologia Acta" V. 11, No 1, 2018
Р. 39-57, Bibliography 164, English
Universal Decimal Classification: 004:591.5:612:616-006
https://doi.org/10.15407/biotech11.01.039

SOME TRENDS IN MATHEMATICAL MODELING FOR BIOTECHNOLOGY

O. M. Klyuchko 1, YU. M. Onopchuk 2

1 Kavetsky Institute of Experimental Pathology, Oncology and Radiobiology of the National Academy of Sciences of Ukraine, Kyiv,
2 Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine, Kyiv

The purpose of present research  is to demonstrate some trends of development of modeling methods for biotechnology according to contemporary achievements in science and technique. At the beginning the general approaches are outlined, some types of classifications of modeling methods are observed. The role of mathematic methods modeling for biotechnology in present ?poque of information computer technologies intensive development is studied and appropriate scheme of interrelation of all these spheres is proposed. Further case studies are suggested: some mathematic models in three different spaces (1D, 2D, 3D models) are described for processes in living objects of different levels of hierarchic organization. In course of this the main attention was paid to some processes modeling in neurons as well as in their aggregates of different forms, including glioma cell masses (1D, 2D, 3D brain processes models). Starting from the models that have only theoretical importance for today, we describe at the end a model which application may be important for the practice. The work was done after the analysis of approximately 250 current publications in fields of biotechnology, including the authors’ original works.

Key words: biotechnology, modeling, mathematical methods.

© Palladin Institute of Biochemistry of National Academy of Sciences of Ukraine, 2018