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A dynamic analysis of a physiological model describing the process of glucose absorption from its passage through the stomach to its entry into the intestine is presented. The model represents the stomach by means of two compartments, representing glucose in solid and liquid phases. Each compartment is described by a balance of matter that reflects the stages of glucose ingestion, digestion, and excretion. The analysis is carried out using the linearized system, to consider the alterations in the emptying process associated with the parameters. This approach allows us to know the effects on the food grinding process in the stomach through the physiological interpretation of the parameters as well as its transit process to the intestine, as well as guaranteeing that the model does not present behaviors unrelated to the physiological process described. The model is used as a basis for stability analysisStability analysis, using tools such as linearization techniquesLinearization techniques and BodeBode diagrams. This allows characterizing the response of the system and evaluating its behavior under different conditions and physical parameters.

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Analysis and Parametric Modeling of the Digestive Process of Food in the Stomach and Intestinal Transit

  • 会议论文

  • 发表日期：

    2025年

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  • I. Sosa-Romo,
  • P. Cruz-Cardona,
  • R. Velázquez,
  • H. E. Gilardi-Velázquez,
  • B. B. Cassal-Quiroga

摘要

A dynamic analysis of a physiological model describing the process of glucose absorption from its passage through the stomach to its entry into the intestine is presented. The model represents the stomach by means of two compartments, representing glucose in solid and liquid phases. Each compartment is described by a balance of matter that reflects the stages of glucose ingestion, digestion, and excretion. The analysis is carried out using the linearized system, to consider the alterations in the emptying process associated with the parameters. This approach allows us to know the effects on the food grinding process in the stomach through the physiological interpretation of the parameters as well as its transit process to the intestine, as well as guaranteeing that the model does not present behaviors unrelated to the physiological process described. The model is used as a basis for stability analysisStability analysis, using tools such as linearization techniquesLinearization techniques and BodeBode diagrams. This allows characterizing the response of the system and evaluating its behavior under different conditions and physical parameters.