An analytical solution for a class of delay-differential equations in pharmacokinetic compartment modeling

DOI10.1016/0025-5564(84)90045-2zbMath0545.92006OpenAlexW2027647951MaRDI QIDQ798270

Yves Plusquellec, Jean-Louis Steimer

Publication date: 1984

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(84)90045-2

zbMATH Keywords

analytic solutiondelay-differential equationstime lagsmean residence timesenterohepatic circulationn-compartment modelpharmacokinetics of drug

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Physiological, cellular and medical topics (92Cxx)

Related Items (1)

Effects of drugs reabsorption time delays for a pharmacokinetics model in humans

Cites Work

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• A monotonicity theorem for compartmental systems
• Time delays and chaos in two competing species
• Compartmental systems with pipes
• Can compartment models account for nonmonotonicity in pharmacokinetics?
• Ordinary and delay differential equations
• Time-lag control systems
• Differential equations: Stability, oscillations, time lags
• Residence times in compartmental systems and the moments of a certain distribution
• A root-locus technique for linear systems with delay
• On stability independent of delay for linear systems

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