Now showing items 1-7 of 7

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

      Grundy, S. M.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1983-02)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • On Approach to Equilibrium in Nonlinear Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1981-02)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • On Mean Residence Times in Compartments 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1979-05)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • On None Approach to Equilibrium in Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1981-04)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • On Washout in Nonlinear Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1981-04)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • Relationship Between Stochastic and Differential Models of Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1978)
      **Please note that the full text is embargoed** ABSTRACT: This paper shows that the differential equations model for compartmental systems is consistent with a stochastic description. Consequently, we may employ either a ...
    • Stochastic Parameters in Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1980-05)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...