Steady-state drug exposure of repeated IV bolus administration for a one compartment pharmacokinetic model with sigmoidal Hill elimination

DOI10.1007/S11538-024-01375-0MaRDI QIDQ6639828

Jun Li, Xiaotian Wu, Meizhu Cao

Publication date: 18 November 2024

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

pharmacokinetic modeltherapeutic windowdosing frequencydrug exposureHill eliminationsteady-state average concentration

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50)

Cites Work

• Topics in mathematical pharmacology
• On Hill coefficients and subunit interaction energies
• Variability and singularity arising from poor compliance in a pharmacokinetic model. II: The multi-oral case
• Asymptotic analysis of a TMDD model: when a reaction contributes to the destruction of its product
• Impact of enzyme turnover on the dynamics of the Michaelis-Menten model
• Geometric singular perturbation analysis of a dynamical target mediated drug disposition model
• Analytical solution and exposure analysis of a pharmacokinetic model with simultaneous elimination pathways and endogenous production: the case of multiple dosing administration
• An analytical approach of one-compartmental pharmacokinetic models with sigmoidal Hill elimination
• Statistical analysis of two-compartment pharmacokinetic models with drug non-adherence

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