Hamming star-convexity packing in information storage.
Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics
Hematologic disorders such as the myelodysplastic syndromes (MDS) are discussed. The lingering controversies related to various diseases are highlighted. A simple biomathematical model of bone marrow - peripheral blood dynamics in the normal state is proposed and used to investigate cell behavior in normal hematopoiesis from a mathematical viewpoint. Analysis of the steady state and properties of the model are used to make postulations about the...
Homoclinic orbit solutions of a one dimensional Wilson-Cowan type model.
Horseshoe in a class of planar mappings.
Host Factors in Viral Life Cycles
Viruses are obligate intracellular parasites that rely on the host cell for expansion. With the development of global analyses techniques like transcriptomics, proteomics and siRNA library screening of complete cellular gene sets, a large range of host cell factors have been discovered that either support or restrict virus growth. Here we summarize some of the recent findings and focus our discussion on the hepatitis C virus and the human immunodeficiency...
Human Immunodeficiency Virus Infection : from Biological Observations to Mechanistic Mathematical Modelling
HIV infection is multi-faceted and a multi-step process. The virus-induced pathogenic mechanisms are manifold and mediated through a range of positive and negative feedback regulations of immune and physiological processes engaged in virus-host interactions. The fundamental questions towards understanding the pathogenesis of HIV infection are now shifting to ‘dynamic’ categories: (i) why is the HIV-immune response equilibrium finally disrupted? (ii)...
Identification of discrete chaotic maps with singular points.
Image recall using a large scale generalized Brain-State-in-a-Box neural network
An image recall system using a large scale associative memory employing the generalized Brain-State-in-a-Box (gBSB) neural network model is proposed. The gBSB neural network can store binary vectors as stable equilibrium points. This property is used to store images in the gBSB memory. When a noisy image is presented as an input to the gBSB network, the gBSB net processes it to filter out the noise. The overlapping decomposition method is utilized to efficiently process images using their binary...
Impulsive stabilization of cellular neural networks with time delay via Lyapunov functionals.
In vitro Vasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel
The circulatory system is one of the first to function during development. The earliest event in the system's development is vasculogenesis, whereby vascular progeniter cells form clusters called blood islands, which later fuse to form capillary networks. There exists a very good in vitro system that mimics this process. When HUVECs (Human Umbilical Vein Endothelial Cells) are cultured on Matrigel, they spontaneously form a capillary network structure. Two theoretical models have been proposed...
Intelligent control of the complex technology process based on adaptive pattern clustering and feature map.
Investigation of the Migration/Proliferation Dichotomy and its Impact on Avascular Glioma Invasion
Gliomas are highly invasive brain tumors that exhibit high and spatially heterogeneous cell proliferation and motility rates. The interplay of proliferation and migration dynamics plays an important role in the invasion of these malignant tumors. We analyze the regulation of proliferation and migration processes with a lattice-gas cellular automaton (LGCA). We study and characterize the influence of the migration/proliferation dichotomy (also known...
Jak se čtou genomy: bioinformatika jakožto obor na pomezí biologie a exaktních věd
La docencia de la bioestadística: un cambio de perspectiva.
Hace apenas seis años, aparecieron dos números de la revista Estadística Española dedicados a la docencia de la estadística. Releyendo el artículo del profesor C. M. Cuadras y los amplios comentarios de un buen número de profesores del área sobre la docencia de la bioestadística en España, he tenido la impresión de que, a pesar de mantener su validez en líneas generales, la perspectiva ha cambiado radicalmente. En el cambio han intervenido, a mi parecer, dos hechos fundamentales: la irrupción de...
Laplace Adomian decomposition method for solving a fish farm model
In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.
Large-time dynamics of discrete-time neural networks with McCulloch-Pitts nonlinearity.
Limit theorems for discrete-time metapopulation models.
Local stability conditions for discrete-time cascade locally recurrent neural networks
The paper deals with a specific kind of discrete-time recurrent neural network designed with dynamic neuron models. Dynamics are reproduced within each single neuron, hence the network considered is a locally recurrent globally feedforward. A crucial problem with neural networks of the dynamic type is stability as well as stabilization in learning problems. The paper formulates local stability conditions for the analysed class of neural networks using Lyapunov's first method. Moreover, a stabilization...
Mathematical analysis of a within-host model of malaria with immune effectors and Holling type II functional response
In this paper, we consider a within-host model of malaria with Holling type II functional response. The model describes the dynamics of the blood-stage of parasites and their interaction with host cells, in particular red blood cells and immune effectors. First, we obtain equilibrium points of the system. The global stability of the disease-free equilibrium point is established when the basic reproduction ratio of infection is R₀< 1. Then the disease is controllable and dies out. In the absence...
Mathematical and Computational Models in Tumor Immunology
The immune system is able to protect the host from tumor onset, and immune deficiencies are accompanied by an increased risk of cancer. Immunology is one of the fields in biology where the role of computational and mathematical modeling and analysis were recognized the earliest, beginning from 60s of the last century. We introduce the two most common methods in simulating the competition among the immune system, cancers and tumor immunology strategies:...