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Purdue, Peter

Stochastic theory of compartments: One and two compartment systems. (English) Zbl 0288.92005

Bull. Math. Biol. 36, 577-587 (1974).
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Cited in 17 Documents

MSC:

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

[1] Bartholomay, A. F., Stochastic Models for Chemical Reactions: I. Theory of the Unimolecular Reaction Process, Bull. Math. Biophysics, 20, 176-190 (1958)
[2] Cardenas, M.; Matis, J. H., On the Stochastic Theory of Compartments: Solution ofn-Compartment Systems with Irreversible, Time Dependent Transition Probabilities, Bull. Math. Biology, 36, 489-504 (1974) · Zbl 0293.92014
[3] Matis, J. H.; Hartley, H. O., Stochastic Compartmental Analysis: Model and Least Squares Estimation from Time Series Data, Biometrics, 27, 77-102 (1971) · doi:10.2307/2528929
[4] Mirasol, N. M., The Output of anM|G| ∞ Queueing System is Poisson, Ops. Res., 11, 282-284 (1963) · Zbl 0114.09401 · doi:10.1287/opre.11.2.282
[5] Purdue, P., Stochastic Theory of Compartments, Bull. Math. Biology, 36, 305-309 (1974) · Zbl 0302.60062
[6] Thakur, A. K., A. Rescigno and D. E. Schafer. “On the Stochastic Theory of Compartments: I. A Single Compartment System.”Bull. Math. Biophysics,34, 53-63. · Zbl 0232.92008
[7] Thakur, A. K.; Rescigno, A.; Schafer, D. E., On the Stochastic Theory of Compartments: II. Multi-Compartment Systems, Bull. Math. Biology, 35, 263-271 (1974) · Zbl 0258.92002 · doi:10.1016/S0092-8240(73)80026-6
[8] Takács, L., Introduction to the Theory of Queues (1962), New York: Oxford University Press, New York · Zbl 0118.13503
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