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STOCHASTIC ANALYSIS OF MULTI-COMPARTMENT SYSTEMS
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA
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This is a discussion of methods for describing, mathematically, flows between compartments in a multi-compartment system. We will give the con ventional theory, based on the solution of a system of linear differential equations we will also give a theory based on probability, viewing the system as a collection of states with a particle moving from statto state with certain probabilities, remaining in each state a random time with an exponential distribution. Finally, we will take still another approach, again based on probability theory, in which we consider the sojourn time of a particle, that is, the time it spends after leaving a given compartment before returning to that compartment.
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