Geodesic
Using normal mode analysis in teaching mathematical modeling to biology students
D. A. Kondrashov1
1 University of Chicago, BSCD, 924 E 57th St, Chicago, IL 60637, USA
Mathematical modelling of natural phenomena, Tome 6 (2011) no. 6, pp. 278-294.

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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 learning activities associated with building and understanding these models, ranging from analytical to computational. I provide a number of web resources where students can obtain structural data, perform calculations, and suggest research directions for independent projects.
DOI : 10.1051/mmnp/20116615

D. A. Kondrashov 1

1 University of Chicago, BSCD, 924 E 57th St, Chicago, IL 60637, USA 
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D. A. Kondrashov. Using normal mode analysis in teaching mathematical modeling to biology students. Mathematical modelling of natural phenomena, Tome 6 (2011) no. 6, pp. 278-294. doi : 10.1051/mmnp/20116615. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20116615/

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