Power laws in compartmental analysis. I: A unified stochastic model

DOI10.1016/0025-5564(75)90046-2zbMath0315.92004OpenAlexW2023928659MaRDI QIDQ1221571

Allan H. Marcus

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0025-5564(75)90046-2

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) General biology and biomathematics (92B05)

Related Items

Compartment Models with Memory, A diffusion-approximation analysis of a general n-compartment system, Power laws in compartmental analysis. II. Numerical evaluation of semi- Markov models, On the stochastic theory of compartments: III. General time-dependent reversible systems, Compartmental models with spatial diffusion: Estimation for bone-seeking tracers

Cites Work

• On the stochastic theory of compartments. II: Multi-compartment systems
• Traffic noise as a filtered Markov renewal process
• Markov renewal theory
• Skew probability curves with negative powers of time and related to random walks in series
• On the stochastic theory of compartments: I. A single-compartment system
• A semi-Markov storage model
• Generalized Kinetic Regression Analysis: Hypergeometric Kinetics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item