The Therapeutic Drug Monitoring of Vancomycin: Mathematical Complexity and the Role of Digital Tools in Risk Reduction – A Systematic Review

Authors

DOI:

https://doi.org/10.36557/2674-9432.2026v5n3p154-173

Keywords:

Vancomycin, AUC/MIC, Clinical Pharmacokinetics, Mathematical Modeling, Educational Technologies

Abstract

Background: The transition of vancomycin monitoring to the Area Under the Curve to Minimum Inhibitory Concentration (AUC/MIC) ratio aims to increase therapeutic safety. However, the complexity of mathematical modeling and Bayesian estimation poses significant challenges to clinical practice. Persistent educational gaps and the phenomenon of "mathophobia" among healthcare professionals can compromise dosing precision, especially in critically ill patients. Objective: This systematic review aimed to examine the correlation between vancomycin dose calculation using the AUC/MIC index and the formative gaps of healthcare professionals in the domains of mathematical modeling, clinical pharmacokinetics, and educational technologies. Methods: Following the PRISMA 2020 protocol, the search was conducted between January 2015 and February 2026 in the PubMed, Scopus, Web of Science, and SciELO databases. Inclusion criteria were used to select studies addressing AUC/MIC monitoring related to professional knowledge or the use of assistive tools. Results: From 550 identified records, 10 articles were included in the final synthesis. The results reveal significant insufficiencies in the understanding of the AUC/MIC method, evidenced by an average knowledge score in Therapeutic Drug Monitoring (TDM) of only 50.3%. Findings highlight that digital tools and the use of Large Language Models (LLMs) are essential strategies to mitigate the mathematical complexity of the process. Conclusion: The review highlights the urgent need for an integrated digital educational tool (such as the proposed VANCOLEARN project) capable of articulating mathematical fundamentals and safe clinical practice. It is concluded that developing technological resources that simplify the application of AUC/MIC is fundamental to overcoming educational barriers and ensuring the advancement of clinical pharmacokinetics teaching.

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Author Biographies

Robson Rodrigues da Silva, UNIVERSIDADE DE MOGI DAS CRUZES

Holds a Bachelors and Teaching Degree in Mathematics from the Universidade de Mogi das Cruzes (1992), a Masters degree in Science (Mathematics) from the Universidade de São Paulo (2004), a PhD in Biomedical Engineering from Universidade de Mogi das Cruzes (2012), and a Postdoctoral degree in Bioengineering from the Center for Biomedical Engineering at Universidade Estadual de Campinas (2018).Currently, is a professor at Universidade de Mogi das Cruzes (UMC), where also serves as a researcher at the Technological Research Center (NPT/UMC), affiliated with the Graduate Program in Biomedical Engineering. Is a full member of the Research Ethics Committee (CEP/UMC), coordinator of the Mathematics Laboratory (LabMat/UMC), and Vice Coordinator of the Graduate Program (Masters and PhD) in Biomedical Engineering at UMC.Is a collaborating researcher at the Laboratório Nacional para Estudo do Cálcio Celular, affiliated with the Center for Biomedical Engineering at Universidade Estadual de Campinas, and a scientific advisor to the Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP). Coordinates a FAPESP-funded project (process 2016/18422-7), entitled Implementation, evaluation and comparison of contraction force and/or cell shortening models for rat ventricular myocytes.Has experience in Mathematics and Biomedical Engineering (Bioengineering), with emphasis on Differential and Integral Calculus, Algebra, and Modeling of Biological Systems and Phenomena, mainly working on mathematical modeling and computational simulation of cardiac electrophysiology, as well as applications of differential and integral calculus to biological systems.

Fabiano Bezerra Menegidio, UNIVERSIDADE DE MOGI DAS CRUZES

Coordinator of the Integrated Graduate Program in Biomedical Engineering and of the Technological Research Center (NPT) at the Universidade de Mogi das Cruzes (UMC). Coordinator of the Bioinformatics and Omics Sciences Laboratory (LaBiOmicS), affiliated with the Integrated Biotechnology Center (NIB) and the Technological Research Center (NPT), both at UMC. Faculty member of the stricto sensu graduate programs in Biomedical Engineering and Biotechnology at UMC. Leads research projects in Bioinformatics focused on Transcriptomics, Genomics, Metabolomics, Microbiome, and Metagenomics, within the fields of Biotechnology and Biomedical Engineering. Co-founder and Chief Technology Officer (CTO) of the biotechnology-based startups EasyOmics and Brycon Soluções Biotecnológicas.

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Published

2026-05-03

How to Cite

RODRIGUES DA SILVA, Roger; RODRIGUES DA SILVA, Robson; BEZERRA MENEGIDIO, Fabiano. The Therapeutic Drug Monitoring of Vancomycin: Mathematical Complexity and the Role of Digital Tools in Risk Reduction – A Systematic Review. Periódicos Brasil. Pesquisa Científica, Macapá, Brasil, v. 5, n. 3, p. 154–173, 2026. DOI: 10.36557/2674-9432.2026v5n3p154-173. Disponível em: https://periodicosbrasil.emnuvens.com.br/revista/article/view/938. Acesso em: 15 may. 2026.