Modeling in biopharmaceutics, pharmacokinetics, and pharmacodynamics. Homogeneous and heterogeneous approaches.
From MaRDI portal
Publication:818702
DOI10.1007/0-387-31910-7zbMath1103.92023OpenAlexW2971101963MaRDI QIDQ818702
Panos Macheras, Athanassios Iliadis
Publication date: 21 March 2006
Published in: Interdisciplinary Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/0-387-31910-7
Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Research exposition (monographs, survey articles) pertaining to biology (92-02)
Related Items
A statistical mechanical model for drug release: investigations on size and porosity dependence ⋮ Lattice percolation approach to 3D modeling of tissue aging ⋮ MATHEMATICAL MODELING OF BACTERIAL RESISTANCE TO ANTIBIOTICS BY MUTATIONS AND PLASMIDS ⋮ A mechanistic approach to modelling the formation of a drug reservoir in the skin ⋮ Mathematical modeling of the receptor-mediated endocytosis process of targeted therapeutic agents in drug delivery systems ⋮ Analytical modeling of drug dynamics induced by eluting stents in the coronary multi-layered curved domain ⋮ Analysis of an evolution problem for controlled drug release ⋮ Mathematics of Pharmacokinetics and Pharmacodynamics: Diversity of Topics, Models and Methods ⋮ Numerical Simulation of Two Phase Mathematical Model for Transportation of Mass and Drug from Drug Eluting Stents ⋮ Results for a fractional diffusion equation with a nonlocal term in spherical symmetry ⋮ Simulation of drug uptake in a two compartmental fractional model for a biological system ⋮ Controllability of system dynamics on networks, quantum walks and random walks ⋮ Stability and periodic solutions for a model of bacterial resistance to antibiotics caused by mutations and plasmids ⋮ Parametric survival densities from phase-type models ⋮ Admissibility for positive continuous-time descriptor systems ⋮ A bargaining approach for resolving the tradeoff between beneficial and harmful drug responses ⋮ Markovian dynamics on complex reaction networks ⋮ Ultimate boundedness of the solutions of certain third order nonlinear non-autonomous differential equations ⋮ Numerical simulation of drug eluting coronary stents: mechanics, fluid dynamics and drug release ⋮ Robust global identifiability theory using potentials -- application to compartmental models