Differential-symbolic approach and tools for management of medical support projects for the population of communities

The aim of the study is to propose a differential-symbolic approach to managing community health support projects, to develop algorithms and computer models on its basis, and to use them to conduct a study of the impact of project environment components on the choice of the optimal project implementation scenario and risk assessment.

The work uses project management methodology, system and differential-symbolic approaches, which underlie the developed algorithms and computer models for planning community health improvement projects and assessing their risks. To implement the proposed models, code was written in the Python programming language using libraries for solving differential equations, optimizing and visualizing results. NumPy libraries were used to work with numerical data and vectors, SciPy for numerically solving differential equations and optimizing the objective function, and Matplotlib for visualizing the results.

The main stages of the proposed differential-symbolic approach to managing community health support projects are presented. Mathematical models of differential-symbolic planning of projects for planning projects for improving the health of the community population and risk assessment of projects for medical support of the community population have been developed. They involve the use of differential equations to describe the dynamics of projects as a separate system and the use of symbolic expressions to represent individual parameters and their description. Algorithms of differential-symbolic management of projects for improving the health of the community population and risk assessment of projects for medical support of the community population have been developed, the block diagram of which involves the implementation of 16 and 9 interconnected steps, respectively. Based on the proposed algorithms, computer models of differential-symbolic planning of projects for improving the health of the community population and risk assessment of projects for medical support of the community population have been developed. Based on the use of computer models for given conditions of the project environment, the results of optimizing the configuration of projects for improving the health of the community population and risk assessment of projects for medical support of the community population have been obtained. The prospect of further research is to expand the functionality of computer models, adding modules for the analysis of other component projects.

For the first time, a differential-symbolic approach to managing projects for medical support of the population of communities has been proposed, which is based on methods of mathematical modeling, numerical analysis and optimization, which ensure the determination of a rational configuration of these projects and the assessment of risks for the given characteristics of the project environment. Based on the substantiated stages of the differential-symbolic approach, mathematical models, algorithms and computer models have been developed. The use of the proposed computer models makes it possible to obtain the dependence of the growth rate of the percentage of the healthy population participating in educational activities on the configuration of projects for improving the health of the population of communities, as well as to determine the optimal scenarios for the implementation of these projects in the community and the risks of projects for medical support of the population of communities.

The proposed computer models are a tool for project managers, which allows to perform labor-intensive calculations to form possible scenarios for the implementation of projects to improve the health of the population in the community, determine the optimal one among them, as well as assess the risks of projects for medical support of the population of communities.