A mathematical model to simulate the biological action of Infliximab on TNF-alpha in patients with Inflammatory Bowel Disease: the critical role of drug clearance

by Ana M. Portillo, Ángel de Prado, Ana J. Soares

We develop a mathematical model designed to balance biological realism with analytical simplicity, that still retains essential clinical features. The model integrates clinical and pharmacokinetic factors to simulate TNF- dynamics and infliximab action with only four equations and few parameters. 1. We establish key mathematical properties of the model, thus providing a rigorous framework supporting biological interpretations. 2. We present numerical simulations illustrating the model’s dynamical behaviour under relevant biological scenarios and exploring different therapeutic conditions. 3. Our model identifies infliximab clearance as a key determinant of therapeutic efficacy.