A stochastic model for circulatory transport in pharmacokinetics

DOI10.1016/0025-5564(95)00050-XzbMath0844.92009WikidataQ52309412 ScholiaQ52309412MaRDI QIDQ1914192

Petr Lansky

Publication date: 29 August 1996

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

zbMATH Keywords

discrete distributionsboundarygeometric distributionresidence time distributionstochastic modelcirculatory systemcycle time distributionrule for eliminationtime course of drug absorption

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (2)

Cycle-time and residence-time density approximations in a stochastic model for circulatory transport ⋮ Variability comparisons for some mixture models with stochastic environments in biosciences and engineering

Cites Work

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• A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics
• The effect of a random initial value in neural first-passage-time models
• Moments of physiological transit time distributions and the time course of drug disposition in the body
• Modelling heterogeneity in survival analysis by the compound Poisson distribution
• Markov chain models - rarity and exponentiality
• The unilateral circulation compartmental model
• Interpreting both short- and long-term power laws in physiological clearance curves
• Survival models for heterogeneous populations derived from stable distributions
• The Inverse Gaussian Distribution as a Lifetime Model
• Qualitative Theory of Compartmental Systems

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