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Using R to Build and Assess Network Models in Biology
Published online by Cambridge University Press: 05 October 2011
Abstract
In this paper we build and analyze networks using the statistical and programming environment R and the igraph package. We investigate random, small-world, and scale-free networks and test a standard problem of connectivity on a random graph. We then develop a method to study how vaccination can alter the structure of a disease transmission network. We also discuss a variety of other uses for networks in biology.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 6: Biomathematics Education , 2011 , pp. 61 - 75
- Copyright
- © EDP Sciences, 2011
References
Albert, R., Barabási, A.-L.. Statistical mechanics
of complex networks. Reviews of Modern
Physics, 74 (2002),
47–97. CrossRefGoogle Scholar
G. Chartrand. Introductory graph
theory. Dover Publications, 1985.
M. Crawley. The R book. John
Wiley & Sons, 2007.
P. Dalgaard. Introductory Statistics with
R, 2/e. Springer, 2008.
Erdös, P., Rényi, A.. On Random Graphs.
I. Publicationes Mathematicae,
6 (1959), 290-297.
Google Scholar
Euler, L.. Solutio problematis ad
geometriam situs pertinentis. Commentarii academiae
scientiarum Petropolitanae, 8 (1741),
128-140. Google Scholar
Hartvigsen, G.,
Dresch, J.M., Zielinski, A.L., Macula, A.J., Leary, C.C.. Network structure and vaccination
strategy and effort interact to affect the dynamics of influenza epidemics.
Journal of Theoretical Biology, 246, Vol. 2, (2007), 205–213. CrossRefGoogle Scholar
Kermack, W.O., McKendrick, A.G.. A Contribution to
the mathematical theory of epidemics. Proceedings of
the Royal Society of London A, 115 (1927),
700–721. CrossRefGoogle Scholar
M.E. Newman, A.-L. Barabási, D.J. Watts.
The Structure and Dynamics of Networks. Princeton University Press,
2006.
M.E. Newman. Networks: an
Introduction. Oxford University Press, 2010.
R Development Core Team. R: A language and
environment for statistical computing. R Foundation for Statistical Computing
(2010), Vienna, Austria. URL http://www.R-project.org/.
Solomonoff, R., Rapoport, A.. Connectivity
of random nets. Bulletin of Mathematical Biophysics, 13 (1951), 107.
CrossRefGoogle Scholar
Watts, D.J., Strogatz, S.H.. Collective dynamics of
"small-world" networks. Nature,
393 (1998), 440–442.
CrossRefGoogle ScholarPubMed
A.F. Zuur, E.N. Ieno, E.H.W.G. Meesters. A
Beginner’s Guide to R, Springer, 2009.
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