Toward a Mathematical Approach to Sound Waves for Enhancing Digestive Health

JUCS - Journal of Universal Computer Science 32(5): 736-760, doi: 10.3897/jucs.160360

Kevin Lima^‡, Alex Roehrs^‡, Cristiano André da Costa^‡, Rodrigo da Rosa Righi^‡, Jorge Luis Victória Barbosa^‡, Kleinner Silva Farias de Oliveira^‡

‡ University of Vale do Rio dos Sinos, São Leopoldo, Brazil

Corresponding author: Alex Roehrs ( alexr@unisinos.br )

This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Citation: Lima K, Roehrs A, André da Costa C, Righi RdaR, Barbosa JLV, de Oliveira KSF (2026) Toward a Mathematical Approach to Sound Waves for Enhancing Digestive Health. JUCS - Journal of Universal Computer Science 32(5): 736-760. https://doi.org/10.3897/jucs.160360

Abstract

The growing interest in noninvasive health monitoring has motivated research into using digestive system sounds as diagnostic indicators. This study proposes the Mathematical Formula for Systematic Digestive Sounds (MFSDS), a method that converts abdominal audio signals into mathematical formulas for automated analysis. The approach integrates devices from the Internet of Things (IoT), signal processing, and artificial intelligence to address challenges such as acoustic complexity, environmental noise, and individual variability. Experimental evaluation with datasets of 25, 50, and 100 formulas achieved similarity rates between 50% and 67%, indicating potential for improvement. Although initial accuracy remains below clinical application thresholds, the results suggest that the integration of advanced AI techniques could improve precision and adaptability. The MFSDS framework offers a novel perspective for preventive healthcare and real-time gastrointestinal monitoring.

Keywords

stomach monitoring, mathematics in health, sound health, monitoring, stomach noise