Stochastic theory of compartments: One and two compartment systems

DOI10.1007/BF02463269zbMath0288.92005OpenAlexW4231521352MaRDI QIDQ1846814

Peter Purdue

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf02463269

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (17)

On the Stochastic Theory of Compartments: The Two‐Compartment and the Mammillary Compartment Systems ⋮ A class of general stochastic compartmental systems ⋮ Unnamed Item ⋮ Parameter Estimation for the Compartmental Model ⋮ Sojourn time distribution in a stochastic compartmental system ⋮ On the stochastic theory of compartments: The leaving process of the two- compartment systems ⋮ Some results on linear stochastic multicompartmental systems ⋮ Compartmental models with Erlang distributed residence times and random rate coefficients ⋮ Stochastic theory of compartments: An open, two compartment, reversible system with independent Poisson arrivals ⋮ The modeling of long-term ingestion of drugs in mammals ⋮ A stochastic compartmental model with continuous infusion ⋮ A diffusion-approximation analysis of a general n-compartment system ⋮ On the stochastic theory of compartments: III. General time-dependent reversible systems ⋮ Stochastic compartmental modeling and parameter estimation with application to cancer treatment follow-up studies ⋮ Random evolutions and stochastic compartments ⋮ A semi-markov approach to stochastic compartmental models ⋮ Comments on statistical independence for linear stochastic multicompartmental systems

Cites Work

• On the stochastic theory of compartments: Solution for n-compartment systems with irreversible, time-dependent transition probabilities
• Stochastic theory of compartments
• On the stochastic theory of compartments. II: Multi-compartment systems
• On the stochastic theory of compartments: I. A single-compartment system
• Letter to the Editor—The Output of an M/G/∞ Queuing System is Poisson
• A Combinatorial Method in the Theory of Queues

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