Displaying similar documents to “Parallel navigation for 3-D autonomous vehicles”

The onset of necrosis in a 3D cellular automaton model of EMT6 multi-cellular spheroids

Simon D. Angus, Monika J. Piotrowska (2010)

Applicationes Mathematicae

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A 3-dimensional (3D) extension to a previously reported scaled 2-dimensional Cellular Automaton (CA) model of avascular multi-cellular spheroid growth is presented and analysed for the EMT6/Ro cell line. The model outputs are found to compare favourably with reported experimentally obtained data for in vitro spheroids of the same cell line. Necrosis (unprogrammed central cell death) is observed to be delayed when compared with the experimental data. Furthermore, it is found that necrosis...

Application of Hybrid Models to Blood Cell Production in the Bone Marrow

N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova, V. Volpert (2011)

Mathematical Modelling of Natural Phenomena

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A hybrid model of red blood cell production, where cells are considered as discrete objects while intra-cellular proteins and extra-cellular biochemical substances are described with continuous models, is proposed. Spatial organization and regulation of red blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is simulated in two dimensions, and the influence on the output of the model of some parameters involved...

An Overview of Modelling Bulgarian Wildland Fire Behaviour by Application of a Mathematical Game Method and WRF-Fire Models

Dobrinkova, Nina (2012)

Serdica Journal of Computing

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This paper presents the main achievements of the author’s PhD dissertation. The work is dedicated to mathematical and semi-empirical approaches applied to the case of Bulgarian wildland fires. After the introductory explanations, short information from every chapter is extracted to cover the main parts of the obtained results. The methods used are described in brief and main outcomes are listed. ACM Computing Classification System (1998): D.1.3, D.2.0, K.5.1.

Coupled analytical and numerical approach to uncovering new regulatory mechanisms of intracellular processes

Jarosław Śmieja (2010)

International Journal of Applied Mathematics and Computer Science

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The paper deals with the analysis of signaling pathways aimed at uncovering new regulatory processes regulating cell responses. First, general issues of comparing simulation and experimental data are discussed, and various aspects of data normalization are covered. Then, a model of a particular signaling pathway, induced by Interferon-β, is briefly introduced. It serves as an example illustrating how mathematical modeling can be used for inferring the structure of a regulatory system...

Modelling and Validation of Transmittance from Nanocrystalline Titania film for Photoanodic Action in Dye-Sensitized Solar Cells

Divya Jyoti (2015)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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A four phase model air/glass/indium doped tin oxide/TiO2 has been studied by modifying Rouard’s model to calculate the final transmittance from TiO2 layer to be used as photoanode in dye-sensitized solar cells. An optical simulation for the reflectance and transmittance has been executed for the constructed nanocrystalline TiO2 films. To validate the theoretical results TiO2 film has been deposited onto indium doped tin oxide (ITO) layer by sol-gel dip coating technique. It has been...