Investigation of a mathematical model of a bio-artificial liver using a PID-controller

The objective of this study is to develop and analyze a mathematical model of a bio-artificial liver using proportional-integral-differential a controller for managing key processes. The bio-artificial liver is a complex system that performs the fundamental functions of the liver, which is of critical importance for the development of alternative treatments for patients with liver failure. The paper describes the structure and functionality of the bio-artificial liver model, based on a review of the anatomy of the human liver, as well as on the study of bio-technological aspects of the creation of artificial organs. The application of a PID-controller is considered, which allows precise and adaptive control of processes within the model, such as the supply of nutrients and the removal of toxins. The research methodology covers the creation of a mathematical model, its computer modeling and analysis of the data obtained. The experimental part of the work is to identify the optimal parameters of the PID-controller for various operating conditions of the bio-artificial liver. The results of this study can contribute to improving the effectiveness of bio-artificial systems for supporting liver functions and offer new approaches to the implementation of artificial organs, which has significant potential for the field of transplantation and treatment of liver diseases.