Mathematical solution of a pharmacokinetic model with simultaneous first-order and Hill-type elimination

DOI10.11948/20210365MaRDI QIDQ6612406

Xiaotian Wu, Jing Zhang, Jiao Jiang

Publication date: 30 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

closed-form solutionarea under the concentration curveelimination half-lifeHill-type eliminationnonlinear pharmacokinetic model

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• On Hill coefficients and subunit interaction energies
• A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalization
• Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: mathematical modelling guides dose optimisation to minimise neutropenia
• The computation of biomarkers in pharmacokinetics with the aid of singular perturbation methods
• On the Lambert \(w\) function
• Morphism classification of a family of transcendent functions arising from pharmacokinetic modelling

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