R. Lopes, I. Bhouri, S. Maouche, P. Dubois, M. H. Bedoui, N. Betrouni (2008)
Mathematical Modelling of Natural Phenomena
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Multifractal analysis is known as a useful tool in signal analysis. However, the methods are often used without methodological validation. In this study, we present multidimensional models in order to validate multifractal analysis methods.
A. K. Cherkashin (2009)
Mathematical Modelling of Natural Phenomena
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Polysystem methodology elaborated for comprehensive analysis of geographical objects considers them as interrelated systems of different types. Each systematic interpretation of a territorial object is formed as a theory describing this object with a special language used for construction of a certain type of models. This paper proposes new methods to develop geographical models and describes several types of systematic models constructed by these methods.
Vincent Lee, Mark Nadel (1975)
Fundamenta Mathematicae
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Jiří Vomlel (2015)
Kybernetika
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In this paper, we generalize the noisy-or model. The generalizations are three-fold. First, we allow parents to be multivalued ordinal variables. Second, parents can have both positive and negative influences on their common child. Third, we describe how the suggested generalization can be extended to multivalued child variables. The major advantage of our generalizations is that they require only one parameter per parent. We suggest a model learning method and report results of experiments...
R. Bartoszyński
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CONTEXTS0. Introduction.......................................................................................................................................................................... 5Part IMODELS OF EPIDEMICS FOli INFECTIOUS DISEASES1. Informal description of the phenomenon of epidemics and constructionof mathematical models...........................................................................................................................................................
G. A. Koch-Noble (2011)
Mathematical Modelling of Natural Phenomena
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Pharmacokinetics is an excellent way to introduce biomathematical modeling at the sophomore level. Students have the opportunity to develop a mathematical model of a biological phenomenon to which they all can relate. Exploring pharmacokinetics takes students through the necessary stages of mathematical modeling: determining the goals of the model, deciphering between the biological aspects to include in the model, defining the assumptions of the model, and finally, building, analyzing,...
P. Blahuš (1975)
Applicationes Mathematicae
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Urszula Foryś, Zuzanna Szymańska (2009)
Applicationes Mathematicae
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We present two simple models describing relations between heterotrophic and autotrophic organisms in the land and water environments. The models are based on the Dawidowicz & Zalasiński models but we assume the boundedness of the oxygen resources. We perform a basic mathematical analysis of the models. The results of the analysis are complemented by numerical illustrations.
J. H. Lowenstein, A. Rouet, R. Stora, W. Zimmermann (1975)
Recherche Coopérative sur Programme n°25
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D. A. Kondrashov (2011)
Mathematical Modelling of Natural Phenomena
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Linear oscillators are used for modeling a diverse array of natural systems, for instance acoustics, materials science, and chemical spectroscopy. In this paper I describe simple models of structural interactions in biological molecules, known as elastic network models, as a useful topic for undergraduate biology instruction in mathematical modeling. These models use coupled linear oscillators to model the fluctuations of molecular structures around the equilibrium state. I present many...