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A Classical Molecular Approach to Computer Simulation of Biological Sorting
(University of Texas at Arlington, 1980-05)
**Please note that the full text is embargoed** ABSTRACT: Steinberg's theory of sorting is modified by replacing the free energy minimization principle with dynamical equations of a molecular nature. Correct cellular sorting ...
Computer Studies of the Classical Oxygen Molecule
(University of Texas at Arlington, 1980-03)
**Please note that the full text is embargoed** ABSTRACT: A classical, simplistic model of the molecular
dynamics of 02 is developed for interactions
which are not readily amenable to quantum
mechanical analysis. ...
A New Mathematical Approach to Biological Cell Rearrangement with Applications to the Inversion of Volvox
(University of Texas at Arlington, 1980-05)
**Please note that the full text is embargoed** ABSTRACT: This paper develops a new method for modeling cell rearrangement in both two and three dimensions. The method uses classical molecular type forces and is computer ...
Stochastic Parameters in Compartmental Systems
(University of Texas at Arlington, 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 ...
Stability and Asymptotic Equivalence of Perturbations of Nonlinear Systems of Differential Equations
(University of Texas at Arlington, 1980-08)
**Please note that the full text is embargoed** ABSTRACT: A nonlinear variation of constants method was introduced by Alekseev [1] and applications of this formula to questions of stability and asymptotic equivalence of ...
Some Theorems on Fixed Points in Lipschitz and Kannan Type Mappings
(University of Texas at Arlington, 1980-01)
**Please note that the full text is embargoed**
Variation of Constants, Vector Lyapunov Functions and Comparison Theorem
(University of Texas at Arlington, 1980-04)
**Please note that the full text is embargoed** ABSTRACT: In this paper we combine the above ideas to obtain a new comparison result and discuss its relation to known results. A simple application to stability theory is ...
On the Discrimination Between the Lognormal and the Weibull Distributions With Applications to Offshore Oil/Gas Lease Bids
(University of Texas at Arlington, 1980-05)
**Please note that the full text is embargoed** ABSTRACT: The competitive sealed bids on an individual offshore oil and gas lease are often assumed to follow a lognormal distribution (Brown, 1969). However, under the ...
Stability and Generalized Hopf Bifurcation Through a Reduction Principle
(University of Texas at Arlington, 1980-10)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...