Flow in antroduodenal part of digestive tract: mathematical model and some results

P. V. Trusov ; N. V. Zaitseva ; M. R. Kamaltdinov

Matematičeskaâ biologiâ i bioinformatika, Tome 18 (2023), pp. t54-t72.

Résumé

A submodel of the digestive system is developed within the framework of multilevel model predicting the evolution of human functional disorders under environment influence. The article is dedicated to some problems associated with the submodel of food flow in the stomach. Materials in details is devoted to the reconstruction algorithm of 3D form andtroduodenal part of the digestive tract, based on ultrasonography results, and to the algorithm of the mesh node displacement caused by the antral contraction wave propagation and the pyloric sphincter motor activity. 3D form obtained and mesh configuration changing algorithm translated to program code are used for the flow calculation in antroduodenal part of the tract. Flow characteristics of one/two phased medium with opened/closed pyloric sphincter are analyzed considering functional disorders of the stomach motility; results are compared with 2D case. Further development ways of the stomach submodel and the digestive system model are noted: considering functional disorders of the pyloric sphincter, periodicity disorders of the antral contraction wave propagation in the stomach, processes of the digestive juice secretion, absorption of substances into the circulatory system.

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