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The paper is concerned with an extension of the classical relation between the
flame speed and the curvature-flow stretch, valid only for high Lewis numbers (diffusively
stable flames). At low Lewis numbers the corresponding flame-flow system suffers
short-wavelength instability, making the associated initial value problem ill-posed. In this study
the difficulty is resolved by incorporation of higher-order effects. As a result one ends up with
a reduced model based on a coupled system of second-order...
In investigating a certain optimization problem in biogeography, Simon [IEEE Trans. Evolutionary Comput. 12 (2008), 702-713] encountered a certain specially structured tridiagonal matrix and made a conjecture regarding its eigenvalues. A few years later, the validity of the conjecture was established by Igelnik and Simon [Appl. Math. Comput. 218 (2011), 195-201]. In this paper, we give another proof of this conjecture that is much shorter, almost computation-free, and does not resort to the eigenvectors...
The parameter estimation problem for a continuous dynamical system is a difficult one. In this paper we study a simple mathematical model of the liver. For the parameter identification we use the observed clinical data obtained by the BSP test. Bellman’s quasilinearization method and its modifications are applied.
One of the major applications for which neural network-based methods are being successfully employed is in the design of intelligent integrated processing architectures that efficiently implement sensor fusion operations. In this paper we shall present a novel scheme for developing fused decisions for surveillance and tracking in typical multi-sensor environments characterized by the disparity in the data streams arriving from various sensors. This scheme employs an integration of a multilayer neural...
The idea of worm tracking refers to the path analysis of Caenorhabditis elegans nematodes and is an important tool in neurobiology which helps to describe their behavior. Knowledge about nematode behavior can be applied as a model to study the physiological addiction process or other nervous system processes in animals and humans. Tracking is performed by using a special manipulator positioning a microscope with a camera over a dish with an observed individual. In the paper, the accuracy of a nematode's...
A model of tumor growth in a spatial environment is analyzed. The model includes
proliferating and quiescent compartments of tumor cells indexed by successively mutated cell phenotypes
of increasingly proliferative aggressiveness. The model incorporates spatial dependence
due to both random motility and directed movement haptotaxis. The model structures tumor cells
by both cell age and cell size. The model consists of a system of nonlinear partial differential
equations for the compartments of...
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