Using normal mode analysis in teaching mathematical modeling to biology students

D. A. Kondrashov

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 6, page 278-294
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Kondrashov, D. A.. "Using normal mode analysis in teaching mathematical modeling to biology students." Mathematical Modelling of Natural Phenomena 6.6 (2011): 278-294. <http://eudml.org/doc/222280>.

@article{Kondrashov2011,
abstract = {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. },
author = {Kondrashov, D. A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {mathematical modeling; elastic network models; normal mode analysis; curriculum development},
language = {eng},
month = {10},
number = {6},
pages = {278-294},
publisher = {EDP Sciences},
title = {Using normal mode analysis in teaching mathematical modeling to biology students},
url = {http://eudml.org/doc/222280},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Kondrashov, D. A.
TI - Using normal mode analysis in teaching mathematical modeling to biology students
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/10//
PB - EDP Sciences
VL - 6
IS - 6
SP - 278
EP - 294
AB - 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.
LA - eng
KW - mathematical modeling; elastic network models; normal mode analysis; curriculum development
UR - http://eudml.org/doc/222280
ER -

References

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