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The existence, uniqueness and large time behaviour of radially symmetric solutions to a chemotaxis system in the plane ℝ² are studied for the (supercritical) value of mass greater than 8π.
Background: Community-acquired methicillin-resistant Staphylococcus
aureus (CA-MRSA), a novel strain of MRSA, has recently emerged and rapidly
spread in the community. Invasion into the hospital setting with replacement of the
hospital-acquired MRSA (HA-MRSA) has also been documented. Co-colonization with both
CA-MRSA and HA-MRSA would have important clinical implications given differences in
antimicrobial susceptibility profiles and the potential...
This paper proposes a quantitative model of the reaction-diffusion type to examine the
distribution of interferon-α (IFNα) in a lymph node
(LN). The numerical treatment of the model is based on using an original unstructured mesh
generation software Ani3D and nonlinear finite volume method for diffusion equations. The
study results in suggestion that due to the variations in hydraulic conductivity of
various zones of the secondary lymphoid organs...
In this paper we explore a new model of field carcinogenesis, inspired by lung
cancer precursor lesions, which includes dynamics of a spatially distributed population of
pre-cancerous cells c(t, x), constantly supplied by an influx μ of mutated normal cells. Cell
proliferation is controlled by growth factor molecules bound to cells, b(t, x). Free growth
factor molecules g(t, x) are produced by precancerous cells and may diffuse before they become
bound to other cells. The purpose of modelling is...
In this paper the authors raise the issue of automatic discrimination of atherosclerotic plaques within an artery lumen based on numerical and statistical thresholding of Computerized Tomography Angiographic (CTA) images and their advanced dimensioning as a support for preoperative vessel assessment. For the study, a set of tomograms of the aorta, as well as the ilio-femoral and femoral arteries were examined. In each case a sequence of about 130-480 images of the artery cutoff planes were analyzed...
In this paper, we consider a two-dimensional inverse medium problem from noisy observation data. We propose effective reconstruction algorithms to detect the number, the location and the size of the piecewise constant medium within a body, and then we try to recover the unknown shape of inhomogeneous media. This problem is nonlinear and ill-posed, thus we should consider stable and elegant approaches in order to improve the corresponding approximation. We give several examples to show the viability...
Detailed descriptions of cardiac
geometry and architecture are necessary for examining and
understanding structural changes to the myocardium that are the
result of pathologies, for interpreting the results of
experimental studies of propagation, and for use as a
three-dimensional orthotropically anisotropic model for the
computational reconstruction of propagation during arrhythmias.
Diffusion tensor imaging (DTI) provides a means to reconstruct
fibre and sheet orientation throughout the ventricles....
Ionizing radiation activates a large variety of intracellular mechanisms responsible for maintaining appropriate cell functionality or activation of apoptosis which eliminates damaged cells from the population. The mechanism of such induced cellular death is widely used in radiotherapy in order to eliminate cancer cells, although in some cases it is highly limited by increased cellular radio-resistance due to aberrations in molecular regulation mechanisms of malignant cells. Despite the positive...
The common goal of systems pharmacology, i.e. systems biology applied to the field of pharmacology, is to rely less on trial and error in designing an input-output systems, e.g. therapeutic schedules. In this paper we present, on the paradigmatic example of a regulatory network of drug-induced enzyme production, the further development of the study published by Duintjer Tebbens et al. (2019) in the Applications of Mathematics. Here, the key feature is that the nonlinear model in form of an ODE system...
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