Abstract
This dissertation is concerned with the derivation of the distributions and moments of several compartmental systems with time-dependent transition probabilities. The particular systems considered are (1) the two-compartment irreversible system, (2) the n-compartment irreversible catenary system, (3) the n-compartment irreversible mammillary system and (4) the two-compartment reversible catenary system. Some general comments are also made concerning general n-compartment irreversible and reversible systems. In most cases, the distributions are obtained under two sets of initial conditions; (1) the distribution of the number of particles initially in the system is known and (2) the actual number of particles initially in each compartment is known.
Cardenas, Manuel (1974). On the theory of some compartmental systems with time-dependent transition probabilities. Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -213466.