A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics

DOI10.1007/BF00275864zbMath0551.92005OpenAlexW2023819460WikidataQ52698407 ScholiaQ52698407MaRDI QIDQ800846

N. E. Zubov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00275864

zbMATH Keywords

gamma distributionrenewal densitygeneralized inverse Gaussian distributioncirculating drug moleculesfitting blood concentration-time curvesrecirculatory modelresidence timestransit timesvascular fluid

Mathematics Subject Classification ID

System identification (93B30) Physiological, cellular and medical topics (92Cxx)

Related Items (3)

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

Cites Work

• Unnamed Item
• Statistical properties of the generalized inverse Gaussian distribution
• Moments of physiological transit time distributions and the time course of drug disposition in the body
• First hitting time models for the generalized inverse Gaussian distribution
• Power laws in compartmental analysis. II. Numerical evaluation of semi- Markov models
• Relationship between stochastic and differential models of compartmental systems
• Interpreting both short- and long-term power laws in physiological clearance curves
• Skew probability curves with negative powers of time and related to random walks in series

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