Showing papers in "Mathematical and Computer Modelling in 1996"

TL;DR: In this paper, a model for homogeneous-heterogeneous reactions in boundary-layer flow is presented in which the homogeneous reaction is represented by cubic autocatalysis and the heterogeneous reaction by a first-order process.

TL;DR: This paper will present several mathematical models which deal with the various stages of growth and development of solid tumours.

TL;DR: A mathematical model is presented to describe the evolution of an avascular solid tumour in response to an externally-supplied nutrient and suggests that if the energy needed to preserve the bonds of adhesion is large then the radially-symmetric configuration is stable with respect to all asymmetric perturbations, and the tumour maintains a Radially-Symmetric structure.

TL;DR: This paper distinguishes the different aspects of model performance and considers the extent to which they can be measured and the meanings of these concepts are discussed and the likely relationships with the model performance elements considered.

TL;DR: Modified Monte Carlo methods are developed, using smoothing and dimension reduction, so that the convergence rate of nearly O (N^-^1) is regained and the effective dimension of the integration domain is drastically reduced.

TL;DR: In this paper, the decomposition method was used for solving an equation of the form u = Nu, where N is a nonlinear operator and u is a linear operator, and new formulae for the calculation of Adomian's polynomials for an operator and generalize these results for a multidimensional operator were given.

TL;DR: A travelling wave analysis is conducted on a simplified version of the model and bounds on the parameters such that the solutions are nonnegative and hence biologically relevant and also an estimate for the rate of invasion are obtained.

TL;DR: In its earliest formulation, supervisory control theory for discreteevent systems addresses formal control synthesis for discrete event systems in an abstract framework of formal languages and automata, and a principal theme is the modular decomposition of control problems as a means of managing their complexity.

TL;DR: A new class of the Adomian Polynomials is defined in this article, which is convenient for computer programming and offers further insights into convergence, and the class denoted by A@?"n, as well as the original A"n, form generalized Taylor series about the initial term in the decomposition method.

TL;DR: A model is introduced that describes the continuous plant and discrete event controller along with an interface which connects them and it is used to obtain a controller design method for hybrid control systems.

TL;DR: In this paper, the applicability of some empirical and functional mathematical models of tumor growth to multicell tumor spheroids which are a three-dimensional experimental paradigm of prevascular tumors is discussed.

TL;DR: New local search algorithms are proposed where the neighborhood search of a solution uses the ''efficiency'' of the machines for each job, and it is shown that this method yields better solutions and shorter running times than the more general local search heuristics.

TL;DR: The dispersion of a point set with respect to various classes of range spaces, like balls, squares, triangles, axis-parallel and arbitrary rectangles, spherical caps and slices, is the area of the largest empty range, and it is a measure for the distribution of the points as mentioned in this paper.

TL;DR: Some meaningful bounds for entropy, conditional entropy, and mutual information arising from the theory of information are obtained.

TL;DR: This paper uses a cellular automaton which exhibits autowave patterns, where a wave of auto-excitation originates in source node, spreads around the mesh, and modifies states of the cells to make a stationary pattern isomorphed to the shortest path from source node to destination one.

TL;DR: In this article, an improved shape of the time-variant stenosis in the realm of the formation of the arterial narrowing caused by atheroma is constructed mathematically in order to update resemblance to the in-vivo situation.

TL;DR: In this article, a general transformation matrix for the rotation of N-dimensional coordinate system is first obtained by the Gramm-Schmidt orthogonalization procedure, and the use of this matrix makes it possible to search in all possible directions to find an ellipsoid with a minimum volume.

TL;DR: In this paper, the authors used a path-following method for the two point boundary value problem governing the ignition of a solid reactant undergoing slow oxidation for symmetric class A geometries and showed the occurrence of multiplicity of steady states.

TL;DR: In this paper, a dynamic model of general financial equilibrium is presented, which assumes utility-maximizing sectors in the economy that take the prices of the financial instruments as given.

TL;DR: In this article, the oscillatory behavior of solutions of second order nonlinear neutral delay difference equations is investigated and several examples which dwell upon the importance of their results are also illustrated.

TL;DR: It is shown how to construct Voronoi-like structure in two-dimensional cellular automata with O(1) and O(n) cell states and 4 (in metric L"1) or 8 ( in metric l~) size of cell neighborhood in O(m) time.

TL;DR: This paper develops a general formulation of dependent-chance goal programming (DCGP) which is an extension of stochastic goal programming in a complex Stochastic system, and gives an example of water allocation and supply to show the application of DCGP.

TL;DR: Several new genetic operators are presented here that are guaranteed to preserve the feasibility of discrete aspirant solutions with respect to a system of linear constraints and to avoid performance degradation as the probability of finding a feasible and meaningful information exchange between two candidate solutions decreases.

TL;DR: A Monte Carlo method is exploited for solving recurrence equations that define the requisite sampling probabilities of DNA sequences taken from a large population that has evolved with deterministically varying population size.

TL;DR: In this paper, some new formulae for numerical differentiation and integration are derived by using interpolatory subdivision algorithms, which are originally designed for the generation of smooth curves and produce better numerical results if the data comes from functions with fractal-like derivatives.

TL;DR: In this paper, the reachability problem of hybrid systems with decoupled differential inclusions was studied and it was shown that for hybrid systems, reachability can be decided in a finite number of steps.

TL;DR: A literature review in Neural Control includes seventyfive annotated citations in experimental and theoretical Neural Control applications and a brief introduction to general Neural Networks is included.

TL;DR: Experimental results show that the use of visual servoing to stably guide a manipulator greatly improves controller performance during contract transitions by allowing fast approach velocities with stable, low impact contact.

TL;DR: In this paper, a model for homogeneous-heterogeneous reactions in boundary-layer flow treated in a previous paper, is extended to include the effects of loss of autocatalyst, represented by the dimensionless parameter @f.

TL;DR: In this paper, a hierarchical model for thin elastic bodies is presented in which the variations of the displacement field through the thickness can be represented as a sequence of apolynomials, and it is found that the modeling error decreases monotonically as the order of the thickness polynomials increases and has a uniform convergence rate with respect to the thickness.