Displaying similar documents to “Modelling of Dynamic Problems in Biomechanics”

Processes in concrete during fire

Rozehnalová, Petra, Kučerová, Anna, Štěpánek, Petr

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Paper deals with hydro-thermal performance of concrete exposed to a fire. It is introduced mathematical model, numerical approach and some results provided by the model.

A mathematical model of inflammation during ischemic stroke

Cristiana Di Russo, Jean-Baptiste Lagaert, Guillemette Chapuisat, Marie-Aimée Dronne (2010)

ESAIM: Proceedings

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In this article we propose a model to describe the inflammatory process which occurs during ischemic stroke. First, an introduction to some basic concepts about the biological phenomenon is given. Then, a detailed derivation of the model and the numerical scheme used are presented. Finally, the studies of the model robustness and sensitivity are showed and some numerical results on the time and space evolution of the process are presented...

Mathematical Homogenization in the Modelling of Digestion in the Small Intestine

Masoomeh Taghipoor, Guy Barles, Christine Georgelin, Jean-René Licois, Philippe Lescoat (2013)

MathematicS In Action

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Digestion in the small intestine is the result of complex mechanical and biological phenomena which can be modelled at different scales. In a previous article, we introduced a system of ordinary differential equations for describing the transport and degradation-absorption processes during the digestion. The present article sustains this simplified model by showing that it can be seen as a macroscopic version of more realistic models including biological phenomena at lower scales. In...

Modeling Non-Stationary Processes of Diffusion of Solute Substances in the Near-Bottom Layer ofWater Reservoirs: Variation of the Direction of Flows and Assessment of Admissible Biogenic Load

V. V. Kozlov (2009)

Mathematical Modelling of Natural Phenomena

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The paper is devoted to mathematical modelling and numerical computations of a nonstationary free boundary problem. The model is based on processes of molecular diffusion of some products of chemical decomposition of a solid organic substance concentrated in bottom sediments. It takes into account non-stationary multi-component and multi-stage chemical decomposition of organic substances and the processes of sorption desorption under aerobic and anaerobic conditions. Such a model allows...

System analysis and mapping of interaction mechanisms of natural processes in mountainous-taiga landscapes

S. Myasnikova (2009)

Mathematical Modelling of Natural Phenomena

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A spatial and temporal diversity of processes and phenomena is observed in mountaintaiga landscapes as the object of management. A knowledge of the mechanisms of their interactions makes it possible to effectively manage these processes and phenomena. The methodology of system analysis and mathematical models of interaction mechanisms are used in the analysis of these phenomena. A visualization of modelling results is carried out using geoinformation mapping methods.