Development of Mathematical Model for Understanding Microcirculation in Diabetic Foot Ulcers Based on Ankle-Brachial Index.

ABSTRACT: This study proposes an innovative mathematical model for assessing microcirculation in patients with diabetic ulcers, using the ankle-brachial index (ABI). The methodology combines Bond Graph (BG) modeling and Particle Swarm Optimization (PSO), enabling a detailed analysis of hemodynamic patterns in a pilot sample of three patients. The results revealed a correlation between ulcer size and reduced ABI values, suggesting that deficits in microcirculation directly impact the severity of lesions. Furthermore, despite variations in ABI values and arterial pressures, all patients exhibited high capillary resistance, indicating difficulties in microcirculatory blood flow. The PSO-optimized parameters for the capillary equivalent circuit were found to be R1=89.784Ω, R2=426.55Ω, L=27.506H, and C=0

SUBMITTER: da Silva AKA 

PROVIDER: S-EPMC11851477 | biostudies-literature | 2025 Feb

REPOSITORIES: biostudies-literature