: a proposed framework for using topic maps to manage information in blood donation units.
Targeting tumour vasculature as a cancer treatment.
Teorie katastrof: souvislosti a aplikace. I
Teorie katastrof: souvislosti a aplikace. II
The architecture of viral capsids based on tiling theory.
The continuum reaction-diffusion limit of a stochastic cellular growth model
A competition-diffusion system, where populations of healthy and malignant cells compete and move on a neutral matrix, is analyzed. A coupled system of degenerate nonlinear parabolic equations is derived through a scaling procedure from the microscopic, Markovian dynamics. The healthy cells move much slower than the malignant ones, such that no diffusion for their density survives in the limit. The malignant cells may locally accumulate, while for the healthy ones an exclusion rule is considered....
The diameter distribution of the stem villi arteries does not discriminate between normal and intra uterine growth restricted placentas.
The Effect of Bacteria on Epidermal Wound Healing
Epidermal wound healing is a complex process that repairs injured tissue. The complexity of this process increases when bacteria are present in a wound; the bacteria interaction determines whether infection sets in. Because of underlying physiological problems infected wounds do not follow the normal healing pattern. In this paper we present a mathematical model of the healing of both infected and uninfected wounds. At the core of our model is an...
The Effects of HIV-1 Infection on Latent Tuberculosis
Tuberculosis is the leading cause of death due to infectious diseases in the world today, and it is increasing due to co-infection with HIV-1, the causative agent of AIDS. Here, we examine the impact that HIV-1 infection has on persons with latent tuberculosis. Based on previous work, we develop a mathematical model of an adaptive immune response in the lung which considers relevant immune effectors such as macrophages, various sub-populations of T-cells, and key cytokines to predict which mechanisms...
The HPV vaccination strategy: could male vaccination have a significant impact?
The Importance of Spatial Distribution of Stemness and Proliferation State in Determining Tumor Radioresponse
Tumor growth and progression is a complex phenomenon dependent on the interaction of multiple intrinsic and extrinsic factors. Necessary for tumor development is a small subpopulation of potent cells, so-called cancer stem cells, that can undergo an unlimited number of cell divisions and which are proposed to divide symmetrically with a small probability to produce more cancer stem cells. We show that the majority of cells in a tumor must indeed be non-stem cancer cells with limited life span and...
The Language of Caring: Quantitating Medical Practice Patterns using Symbolic Dynamics
Real-world medical decisions rarely involve binary Ðsole condition present or absent- patterns of patient pathophysiology. Similarly, provider interventions are rarely unitary in nature: the clinician often undertakes multiple interventions simultaneously. Conventional approaches towards complex physiologic derangements and their associated management focus on the frequencies of joint appearances, treating the individual derangements of physiology...
The non-uniform spatial development of a micrometastasis.
The pharmacodynamics of antibiotic treatment.
The potential distribution due to a dipole source in the fetal heart: A numerical model of the maternal abdomen.
The power-law formalism as a tool for modeling hormonal systems.
The prognosis of survivance in solid tumor patients based on optimal partitions of immunological parameters ranges.
The role of cell motility in metastatic cell dominance phenomenon: Analysis by a mathematical model.
The role of Mechanics in Tumor growth : Modelling and Simulation
A number of biological phenomena are interlaced with classical mechanics. In this review are illustrated two examples from tumor growth, namely the formation of primordial networks of vessels (vasculogenesis) and the avascular phase of solid tumors. In both cases the formalism of continuum mechanics, accompanied by accurate numerical simulations, are able to shed light on biological controversies. The converse is also true: non-standard mechanical problems suggest new challenging mathematical questions....
The solution of inverse nonlinear elasticity problems that arise when locating breast tumours.