Mathematical biology modules based on modern molecular biology and modern discrete mathematics.

Raina Robeva, Robin Davies, Terrell Hodge, Alexander Enyedi
Author Information
  1. Raina Robeva: Department of Mathematical Sciences, Western Michigan University, Kalamazoo MI 49008, USA. robeva@sbc.edu

Abstract

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network.

References

  1. J R Soc Interface. 2008 Aug 6;5 Suppl 1:S29-39 [PMID: 18426771]
  2. J Comput Biol. 2006 Jul-Aug;13(6):1232-65 [PMID: 16901239]
  3. Science. 2001 Aug 10;293(5532):1068-70 [PMID: 11498573]
  4. Proc Natl Acad Sci U S A. 1957 Jul 15;43(7):553-66 [PMID: 16590055]
  5. Proc Natl Acad Sci U S A. 2004 Nov 16;101(46):16138-43 [PMID: 15534223]
  6. J Theor Biol. 2004 Aug 21;229(4):523-37 [PMID: 15246788]
  7. Proc Natl Acad Sci U S A. 2002 Dec 24;99(26):16893-8 [PMID: 12482955]
  8. Methods Enzymol. 2009;454:305-21 [PMID: 19216932]
  9. Science. 2008 Apr 25;320(5875):499 [PMID: 18436782]
  10. Front Psychiatry. 2010 Jan 18;1:1 [PMID: 21451740]
  11. Science. 2002 Mar 1;295(5560):1669-78 [PMID: 11872831]
  12. J Theor Biol. 1969 Mar;22(3):437-67 [PMID: 5803332]
  13. Nature. 2002 Nov 14;420(6912):206-10 [PMID: 12432404]
  14. BMC Syst Biol. 2008 Feb 29;2:21 [PMID: 18312613]
  15. Science. 2009 Nov 6;326(5954):865-7 [PMID: 19892987]
  16. Nature. 2004 Feb 19;427(6976):737-40 [PMID: 14973486]
  17. Science. 2007 Apr 13;316(5822):222-34 [PMID: 17431167]
  18. Proc Natl Acad Sci U S A. 2008 Oct 21;105(42):16308-13 [PMID: 18852469]
  19. Biophys J. 2007 Jun 1;92(11):3830-42 [PMID: 17351004]
  20. Nucleic Acids Res. 2009 Mar;37(4):e29 [PMID: 19158187]
  21. Science. 2009 Jul 31;325(5940):542-3 [PMID: 19644095]

MeSH Term

Lac Operon
Lac Repressors
Mathematics
Models, Genetic
Molecular Biology
Reproducibility of Results
Teaching

Chemicals

Lac Repressors

Word Cloud

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