A Mathematical Modeling Framework for Evaluating the Efficacy of Integrative Alternative Medicine in Chronic Disease Management

24 Jun

Authors: Assistant Professor Dilip Badrinarayan Soni, Dr. Hariom Singh Tomar

Abstract: Integrative alternative medicine (IAM) involves the use of traditional therapies together with evidence-based complementary therapies but is faced with the problem of difficulty in proving efficacy due to the complex nature of treatments involved. In this paper, a mathematical model for assessing IAM efficacy in chronic disease treatments is proposed. Three complementary techniques used to assess efficacy include: hybrid ODE model for disease, immune and therapy interaction; personalized fuzzy inference system involving multiple physiological and quality of life factors; and Bayesian hierarchical meta-analysis technique. Validation of the mathematical framework based on data of rheumatoid arthritis patients (n=4,752 from 23 studies) showed a sensitivity rate of 87.5% and a specificity of 84.2% in predicting response versus non-response patients. Comparison with the traditional statistics-based techniques showed a higher accuracy of prediction by 18-25%.

DOI: https://doi.org/10.5281/zenodo.20829379