On the stochastic theory of compartments: I. A single-compartment system |
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| Authors: | A K Thakur A Rescigno D E Schafer |
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| Institution: | (1) Department of Physiology, University of Minnesota and Experimental Surgery Laboratory, Veterans Administration Hospital, Minneapolis, Minnesota;(2) Department of Physiology, University of Minnesota, Minneapolis, Minnesota;(3) Department of Physiology, University of Minnesota and Experimental Surgery Laboratory, Veterans Administration Hospital, Minneapolis, Minnesota |
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| Abstract: | A stochastic model is developed for a compartment with a single time-dependent input, and generalized to include inputs from
several sources. With the number of particles of a given molecular species in the compartment as the random variable, the
mean, variance and third central moment of this variable are calculated from its generating function, and compared with previous
results. The behavior of the calculated moments is discussed, and the possibility of applying the model to chemical and biological
systems is considered. |
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