Browsing Department of Mathematics by Author "Eisenfeld, Jerome"
Now showing items 21-37 of 37
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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 the Construction of a Norm Associated with the Measure of Noncompactness
Bernfeld, Stephen R.; Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1976-02)**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ... -
On the Existence of Solutions of Differential Equations in a Banach Space
Eisenfeld, Jerome; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1974-03)**Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions ... -
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 ... -
Parameter Estimation in Illness-Death Processes: Preinfaractional Angina
Eisenfeld, Jerome; Canada, B. (University of Texas at ArlingtonDepartment of Mathematics, 1979)**Please note that the full text is embargoed** ABSTRACT: An illness-death process is an absorbing Markov process where the illness states from the transient states of the process. This paper deals with the estimation of ... -
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 ... -
Remarks on Bellman's Structural Identifiability
Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1985-03)**Please note that the full text is embargoed** ABSTRACT: This paper remarks on unidentifiable compartmental systems. Emphasis is placed on detecting properties of the system directly from the compartmental diagram without ... -
Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones
Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)**Please note that the full text is embargoed** ABSTRACT: The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for ... -
Remarks on Numerical Computations Using the Alternative Method
Kannan, R.; Eisenfeld, Jerome; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1977-12)**Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ... -
The Role of Nonreal Eigenvalues in the Identification of Cycles in a Compartmental System
Eisenfeld, Jerome; Grundy, S. M.; Beltz, W. F. (University of Texas at ArlingtonDepartment of Mathematics, 1983-11)**Please note that the full text is embargoed** ABSTRACT: The paper concerns the relationship between the cycles in the graph of a compartmental system and the modes of the impulse response function associated with an ... -
Separation and Monotonicity Results for the Roots of the Moment Problem
Eisenfeld, Jerome; Hallmark, James (University of Texas at ArlingtonDepartment of Mathematics, 1978-05)**Please note that the full text is embargoed** ABSTRACT: Consider the system identification problem [see pdf for notation] [see pdf for notation] where u(t) and y(t) are given discretely on the interval [see pdf for ... -
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 ... -
Stochastic Parameters in Compartmental Systems and Structural Identification
Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1979-07)**Please note that the full text is embargoed** ABSTRACT: Let [see pdf for notation] denote the mean time a particle resides in i having started in j and let [see pdf for notation] denote the probability that a particle ... -
Structural Identification of Large Systems by Reduction to Subsystems: VLDL Triglycerides
Grundy, S. M.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1982-05)**Please note that the full text is embargoed** ABSTRACT: Experiments are performed for identification purposes, i.e. to identify the values of unknown paprameters from data. In the event that one or more parameters can ... -
System Identification of Models Exhibiting Exponential, Harmonic and Resonant Modes
Soni, B.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1978)**Please note that the full text is embargoed** ABSTRACT: A classical problem arising in compartmental analysis is the so called identification problem or the inverse problem. One is presented with the linear time invariant ... -
System Identification Problems and the Method of Moments
Eisenfeld, Jerome; Cheng, S. W.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1977-05)Let X(t) and W(t) be vectors of dimension N > 0. We are concerned with the problem of computing an N x N matrix A such that [see pdf for notation](1.1) where X'(t) is the rate of change of X(t) with respect to time t. ... -
A Systems-Theory Approach to the Analysis of Multiexponential Fluorescence Decay
Ford, Corey C.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1978-08)**Please note that the full text is embargoed** ABSTRACT: A mathematical model of the fluorescence decay experiment based on linear systems theory is presented. The model suggests an experimental technique which increases ...