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Five different perspectives on mathematical modeling in mathematics education
Investigations in Mathematics Learning, 2020This article presents a review of literature exploring five different perspectives on mathematical modeling in mathematics education. Because there is not a single agreed-on definition of what mathematical modeling is or how it should be done, a focused ...
Aline Abassian +3 more
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2020
Decision support systems (DSSs) rely on computational machinery in which mathematical models often constitute an important part. In this chapter, it is discussed which kinds of models are best suited for different kinds of DSSs. The practical steps involved in model construction are outlined, keeping in mind that model construction is a process that ...
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Decision support systems (DSSs) rely on computational machinery in which mathematical models often constitute an important part. In this chapter, it is discussed which kinds of models are best suited for different kinds of DSSs. The practical steps involved in model construction are outlined, keeping in mind that model construction is a process that ...
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Formalization and mathematical modelling
2016Claims that economics is close in spirit and principle to mathematics have been reiterated many times; a well-known one is William S. Jevons’s “our science must be mathematical, simply because it deals with quantities” (1871 [1888]: 1.5, original emphasis).
Paola Tubaro, Paola Tubaro
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Mathematical Modeling in Chronobiology
2013Circadian clocks are autonomous oscillators entrained by external Zeitgebers such as light-dark and temperature cycles. On the cellular level, rhythms are generated by negative transcriptional feedback loops. In mammals, the suprachiasmatic nucleus (SCN) in the anterior part of the hypothalamus plays the role of the central circadian pacemaker ...
Bordyugov, Grigory +4 more
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Mathematical models in genetics
Russian Journal of Genetics, 2016In this study, we present some of the basic ideas of population genetics. The founders of population genetics are R.A. Fisher, S. Wright, and J. B.S. Haldane. They, not only developed almost all the basic theory associated with genetics, but they also initiated multiple experiments in support of their theories.
Iv. Trenchev, M. Traykov
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, 1993 Let the thoughts be numbered and let thought number n and its associated pattern of neural excitation be labeled by T(n). It has the structure $$ T(n) = T(n,1)*T(n,2)*...*T(n,N), $$ where $$ T(n,i) = \left[ {T(n,i,1) + T(n,i,2) + ... + T(n,i,{N_{ni}})} \right]. $$
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Mathematical Modelling in Dutch Textbooks: Is It Genuine Mathematical Modelling?
2017n this chapter, we analyse the two most frequently used Dutch mathematics textbooks for upper secondary schools in order to determine to what extent the tasks in these textbooks meet the criteria we have set for genuine mathematical modelling: does a modelling task have a modelling purpose, and do the students have to perform characteristic modelling ...
Zwaneveld, G. +3 more
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Mathematical Models for Hysteresis
SIAM Review, 1993The various existing classical models for hysteresis, Preisach, Ishlinskii, Duhem–Madelung, are surveyed, as well a more modern treatments by contemporary workers. The emphasis is on a clear mathematical description of the formulation and properties of each model.
J. Macki, NISTRI, PAOLO, ZECCA, PIETRO
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2012
© Springer International Publishing AG 2018. When talking about mathematical models, most readers normally associate this concept with a very complex notion.
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© Springer International Publishing AG 2018. When talking about mathematical models, most readers normally associate this concept with a very complex notion.
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Mathematical Modeling in Neuroendocrinology [PDF]
Comprehensive Physiology, 2015 ABSTRACTMathematical models are commonly used in neuroscience, both as tools for integrating data and as devices for designing new experiments that test model predictions. The wide range of relevant spatial and temporal scales in the neuroendocrine system makes neuroendocrinology a branch of neuroscience with great potential for modeling.
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