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#### On None Approach to Equilibrium in Compartmental Systems

(University of Texas at Arlington, 1981-04)

The question of convergence of a solution of a compartmental system
to an equilibrium point, as t -> °°, is of considerable interest [1-6]. Although it was not explicitly stated, the remarks in [1] seem to suggest that ...

#### Relationship Between Stochastic and Differential Models of Compartmental Systems

(University of Texas at Arlington, 1978)

This paper shows that the differential equations model for compartmental systems is consistent with a stochastic description. Consequently, we may employ either a differential equations or a stochastic formulation for ...

#### Stochastic Parameters in Compartmental Systems

(University of Texas at Arlington, 1980-05)

Let [see pdf for notation] denote the
probability that a particle in compartment j
will reach (or enter) compartment i. We present
several formulas for obtaining the [see pdf for
notation] in terms of the ...

#### Extension of Compartmental Parameters to Blocks of Compartments with Application to Lipoprotein Kinetics

(University of Texas at Arlington, 1983-02)

Suppose that the compartments of a compartmental model are separated into blocks (sets of compartments). In general, the blocks can not be regarded as compartments but it may be possible to construct a "condensation model," ...

#### On Mean Residence Times in Compartments

(University of Texas at Arlington, 1979-05)

This paper is concerned with a set of parameters which measure the mean time a random particle resides in individual compartments in response to a given load distribution. These parameters are related to other time parameters ...

#### On Washout in Nonlinear Compartmental Systems

(University of Texas at Arlington, 1981-04)

Let x(t) be a solution of a compartmental system. If, for some compartment j, x (t) -> 0 as t -> °°, then we say that compartment
j washes out. We show that a compartment washes out if it always reaches (along a fixed ...

#### On Approach to Equilibrium in Nonlinear Compartmental Systems

(University of Texas at Arlington, 1981-02)

A closed compartmental system is a set of nonnegative interdependent functions,
[see pdf for notation]
such that their sum is constant. The functions can represent populations, masses or concentrations, depending on the ...