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Circadian Modulation of Enterohepatic Circulation: Time-Varying Delay Analysis in Two-Compartment Pharmacokinetic Control

Akram Gasmelseed

2025

Abstract

To develop a pharmacokinetic model that incorporates circadian rhythms and other time-varying physiological processes into drug enterohepatic circulation (EHC). Methods: We extended a two-compartment EHC model by introducing a time-varying delay term to represent circadian variation, mealinduced gallbladder contractions, and inter-individual chronotypes. Numerical simulations compared the time-varying model against a traditional constant-delay model. Results: The timevarying model revealed critical time-of-day effects on drug levels: dosing time, meal timing, and patient chronotype substantially altered secondary peak timing and magnitude, sometimes yielding higher secondary peaks than the initial peak. Conclusions: Incorporating circadian dynamics into EHC models highlights the importance of dosing time and supports chronotherapy strategies for drugs undergoing enterohepatic recycling.

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