Simpel modelling of extracellular matrix alignment in dermal wound healing. I: Cell flux induced alignment.
Simulated annealing on uncorrelated energy landscapes.
Simulating Kinetic Processes in Time and Space on a Lattice
We have developed a chemical kinetics simulation that can be used as both an educational and research tool. The simulator is designed as an accessible, open-source project that can be run on a laptop with a student-friendly interface. The application can potentially be scaled to run in parallel for large simulations. The simulation has been successfully used in a classroom setting for teaching basic electrochemical properties. We have shown that...
Simulation of electrophysiological waves with an unstructured finite element method
Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.
Simulation of Electrophysiological Waves with an Unstructured Finite Element Method
Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.
Simulation of mathematical models as a tool for the study of reservoirs of American cutaneous leishmaniasis. (Simulación de modelos matemáticos como herramienta para el estudio de los reservorios de la leishmaniasis cutánea Americana.)
Simulation of self-propelled chemotactic bacteria in a stokes flow*
We prescrit a method to simulate the motion of self-propelled rigid particles in a twodimensional Stokesian fluid, taking into account chemotactic behaviour. Self-propulsion is modelled as a point force associated to each particle, placed at a certain distance from its gravity centre. The method for solving the fluid flow and the motion of the bacteria is based on a variational formulation on the whole domain, including fluid and particles: rigid...
Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology
We investigate the structure of travelling waves for a model of a fungal disease propagating over a vineyard. This model is based on a set of ODEs of the SIR-type coupled with two reaction-diffusion equations describing the dispersal of the spores produced by the fungus inside and over the vineyard. An estimate of the biological parameters in the model suggests to use a singular perturbation analysis. It allows us to compute the speed and the profile of the travelling waves. The analytical results...
Singular Perturbations For Heart Image Segmentation Tracking
In this note we give a result of convergence when time goes to infinity for a quasi static linear elastic model, the elastic tensor of which vanishes at infinity. This method is applied to segmentation of medical images, and improves the 'elastic deformable template' model introduced previously.
Singularity patterns in a chemotaxis model.
Skupinové testování – oddělující systémy
Otázkami spojenými s testováním vzorků se v souvislosti s pandemií covid-19 začala zabývat i širší veřejnost. Jednou z otázek, která byla v souvislosti s testováním diskutována, byla i otázka tzv. poolování. Cílem předkládaného článku je představit jeden z matematických nástrojů -- oddělující systémy, který lze při spojování vzorků a jejich následném testování efektivně využít. Všechna odvození jsou realizována jen s využitím elementární matematiky tak, aby bylo možné dosažené výsledky nejen použít...
Skupinový screening
Skupinový screening je nezbytnou součástí boje proti šíření koronaviru. Jak ale čelit možnému nedostatku činidel a materiálu? Tím, že budeme provádět testy na bázi promíchání vzorků a využijeme přitom matematiku.
Small amplitude homogenization applied to models of non-periodic fibrous materials
In this paper, we compare a biomechanics empirical model of the heart fibrous structure to two models obtained by a non-periodic homogenization process. To this end, the two homogenized models are simplified using the small amplitude homogenization procedure of Tartar, both in conduction and in elasticity. A new small amplitude homogenization expansion formula for a mixture of anisotropic elastic materials is also derived and allows us to obtain a third simplified model.
Small positive values for supercritical branching processes in random environment
Branching Processes in Random Environment (BPREs) are the generalization of Galton–Watson processes where in each generation the reproduction law is picked randomly in an i.i.d. manner. In the supercritical case, the process survives with positive probability and then almost surely grows geometrically. This paper focuses on rare events when the process takes positive but small values for large times. We describe the asymptotic behavior of , as . More precisely, we characterize the exponential...
Sobre la conveniencia de la existencia de un área de bioestadística.
La conveniencia de que todos los profesores de Bioestadística en España se encuentren aglutinados en una única Area de Conocimiento ha sido reiteradamente expuesta por este colectivo en más de una ocasión (I Jornadas de Bioestadística, Barcelona, septiembre de 1984; solicitud al Consejo de Universidades de 28-5-87 y, más recientemente, la de 16-3-95).
Solution forte pour des équations intégro-différentielles non linéaires paraboliques
Solution of multi-delay systems via combined block-pulse functions and Legendre polynomials.
Solutions for the cell cycle in cell lines derived from human tumors.
Solutions of inverse problems with potential application for breast tumour detection using microwave measurements.
Solvability of a coupled system of parabolic and ordinary differential equations
A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.