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Lumped models of the cardiovascular system of various complexity

Ježek F., Kulhánek T., Kalecký K., Kofránek J.

Biocybernetics and Biomedical Engineering

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2017

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Vol. 37, no. 4

666--678

EN

Purpose: The main objective is to accelerate the mathematical modeling of complex systems and offer the researchers an accessible and standardized platform for model sharing and reusing. Methods: We describe a methodology for creating mathematical lumped models, decomposing a system into basic components represented by elementary physical laws and relationships expressed as equations. Our approach is based on Modelica, an object-oriented, equation-based, visual, non-proprietary modeling language, together with Physiolibrary, an open-source library for the domain of physiology. Results: We demonstrate this methodology on an open implementation of a range of simple to complex cardiovascular models, with great complexity variance (simulation time from several seconds to hours). The parts of different complexity could be combined together. Conclusions: Thanks to the equation-based nature of Modelica, a hierarchy of subsystems can be built with an appropriate connecting component. Such a structural model follows the concept of the system rather than the computational order. Such a model representation retains structural knowledge, which is important for e.g., model maintainability and reusability of the components and multidisciplinary cooperation with domain experts not familiar with modeling methods.

2

Relationships between CFD and Experimental Fluid Mechanics

Sobieski W.

Technical Sciences / University of Warmia and Mazury in Olsztyn

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2013

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nr 16(3)

169--178

EN

This paper analyzes three popular methods of developing simulation models based on experimental data. The presented variants are discussed with emphasis on their strengths and weaknesses, and they are illustrated with examples in the area of numerical fluid mechanics. The principles of developing computer models, details and objectives of mathematical models are not discussed. The relevant information can be found in the author’s previous studies which are available in scientific literature. The last section of the article proposes the most effective methods for combining and designing real and virtual experiments.

3

Metodyka modelowania procesu formowania strumienia kumulacyjnego wydłużonych ładunków materiałów wybuchowych

Wojewódka A., Witkowski T.

Chemik

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2011

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Vol. 65, nr 1

28-35

PL

Wydłużone ładunki kumulacyjne znajdują zastosowanie w górnictwie, przemyśle, policji, wojsku, a także w wielu innych gałęziach przemysłu. Metody komputerowego modelowania mogą być szerzej stosowane, jeśli bardziej dokładnie będą dobierane parametry geometryczne i materiałowe. Jednym z takich parametrów jest odległość ładunku kumulacyjnego od przeszkody, który może być optymalizowany przy użyciu metod symulacji komputerowych. Stosowanie tych metod wpływa na skrócenie czasu doboru parametrów oraz minimalizację kosztów.

EN

Elongated cumulative charges are used in the mining industry, industry, police, army, and in many other industries. Methods of computer modeling can be used more widely if geometrical and material parameters are selected more accurately. A distance of cumulative charge from the barrier is one of such parameters that can be optimized using computer simulation methods. The application of these methods can shorten the time of the parameters selection and can minimize the costs.