Mathematical methods for evaluating the optimal variant by the criterion of optimization of controlled nutrition intake parameters in solving the problem of diet planning. Stigler model and its development, review

Smirnov Sergey Pavlovich

The paper considers methods for automating the development of food rations for various applications, based on the need for solving practical problems. The article considers the relevance of the task of diets planning to solve the problems of developing diets to treat obesity, to provide a minimum satisfactory diet to handle hunger issue, to evaluate a diet for astronauts and other special consumers. The article considers the creation of the Stigler method for calculating rations (the Stigler model) and its development in the last fifty years. The main approaches to solve the problem of diet planning, the key parameters of the tasks solved by the methods presented, and the identified limitations of the approaches described in the literature are considered. As a result of the analysis, a model describing the biological system of human-environment-nutrition is proposed, which allows sorting out the identified limitations of the method. The key interactions within the system model are considered. The main factors that influence the behavior of system components are considered: meta-genetic, geographical, social, environmental, nutritional value factors, variability, feedback factors, environmental effects, and others. The concept of "health" of the system is introduced, the meaning of "healthy" for each of the components of the biological system is defined. The simulation parameters for calculating the ration within the framework of the proposed model are formulated.

Keywords:diet, diet calculation, diet planning, mathematical model, diet model, Stigler model.