A review of vasculogenesis models.
A semilinear parabolic boundary-value problem in bioreactors theory.
A semilinear transport equation with delays.
A short proof of the Cushing-Henson conjecture.
A simple bioclogging model that accounts for spatial spreading of bacteria.
A simple derivation of the eigenvalues of a tridiagonal matrix arising in biogeography
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...
A simple interpretation of two stochastic processes subject to an independent death process.
A simple mathematical method to predict the course of a first episode of liver viral cytolysis.
A simple mathematical model for Batesian mimicry.
A simple mathematical model of the human liver
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.
A simple mathematical standardized measurement of acetabulum anteversion after total hip arthroplasty.
A simplex trained neural network-based architecture for sensor fusion and tracking of target maneuvers
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...
A simultaneous localization and tracking method for a worm tracking system
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 single cell-based model of the ductal tumour microarchitecture.
A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes
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...
A spring-dashpot system for modelling lung tumour motion in radiotherapy.
A statistical variance components framework for mapping imprinted quantitative trait locus in experimental crosses.
A stochastic cobweb dynamical model.
A stochastic death pairing process.
A stochastic extension of R. Thomas regulatory network modelling
In this paper we present the extension of the kinetic logic proposed by René Thomas for analysis of genetic regulatory gene networks. We consider the case with a Gaussian noise added to the regulation function and propose a method of analyzing the resulting model with a discrete time Markov model.