Development of a Mathematical Model for the Design of a Bio-Artificial Liver

The research is aimed at developing a mathematical model reflecting the basic biochemical and physiological processes occurring in a bio-artificial liver. The main goal of the study is to create a reliable tool for predicting the behavior of liver cells under artificial conditions, which will improve the understanding of their functionality and metabolic activity. The focus of this study is the modelling of metabolites, the diffusion of toxins and protein synthesis. To achieve this goal, a system of differential equations has been developed that describes the dynamics of key processes related to the functioning of liver cells under artificial conditions. The model takes into account the interaction of biochemical processes such as nutrient metabolism, metabolite secretion, and mechanisms for removing toxins from cells, which is critically important for understanding the general condition of a bio-artificial liver. The study analyzed the influence of various factors on the level of metabolites and the effectiveness of toxin diffusion. This allows us to better understand the basic mechanisms occurring in cells and optimize the conditions of their cultivation to increase the viability and functionality of the bio-artificial liver. The developed model can become the basis for further research in the field of biotechnology and the creation of highly effective organ substitutes, which opens up new prospects in the treatment of liver failure and transplantation. Thus, the results of this work emphasize the importance of mathematical modeling in the study of complex biological systems and can be used to further improve methods of treating liver diseases and develop new approaches in the field of regenerative medicine.