Math 636 - Mathematical Modeling
Fall Semester, 2010 

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San Diego State University -- This page last updated 30-Sep-10


Math 636 - PNAS Reports

Early this semester, you are going to write a review based on articles from the journal Proceedings of the National Academy of Sciences (PNAS). You will select an article from this journal, then write a report (2-5 pages) on this article. In particular, you will begin with a summary of what the authors showed in their article, then you will detail the mathematical modeling required to demonstrate their results or some aspect of the mathematical modeling. The article that you choose must be less than 5 years old and each student must select a unique article. (Exceptions to this rule can be made for reasons, such as particular interest or advice from a future advisor.) You will email me the details on the article that you have selected (title, PNAS issue, date, pages, etc.), then I will post it below, so others will not select the same article. Be sure to attach a PDF version of the article so that I can have it in my files. You can change your mind, but you must let me know so that I can update the list for other students. Articles will be assigned on a first come, first serve basis. (I will try very hard to update this page daily with any changes.) I will check that each of you choose a unique article. Your review will be due Wed. Sept. 29.

Student and PNAS Article

  1. Vinnie Berardi - " Sergey Kryazhimskiy, Gaper Tkaèik, and Joshua B. Plotkin, "The Dynamics of Adaptation on Correlated Fitness Landscapes," PNAS (2009) 106, 18638 -18643.
  2. Marc Elliot - Amit Singer, "A remark on global positioning from local distances ," PNAS (2008) 105, 9507–9511.
  3. Sheri Gobec - Wee-Tin Kao, "Common genetic variation in Neuregulin 3 (NRG3) influences risk for schizophrenia and impacts NRG3 expression in human brain," PNAS (2010) 107, 15619-15624.
  4. William Henry - Bongard J, Lipson H, "Automated reverse engineering of nonlinear dynamical systems," PNAS (2006) 104, 9943-9948.
  5. Kevin Joiner - V. Buch , H. Groenzine , I. Li, M.J. Shultz, and E. Tosatti, " Proton Order in the Ice Crystal Surface," PNAS (2008) 105, 5969-5974.
  6. Chris Keown - Eugene M. Izhikevich and Gerald M. Edelman, "Large-scale model of mammalian thalamocortical systems," PNAS (2008) 105, 3593­3598 .
  7. Hiroko Matsui - Jong Myoung Parka,b, Tae Yong Kima,b, and Sang Yup Leea, " Prediction of metabolic fluxes by incorporating genomic context and flux-converging pattern analyses," PNAS (2010) 107, 14931–14936.
  8. Britte Nelson - James M. Hughes, Daniel J. Graham, and Daniel N. Rockmore, "Quanitification of Artistic style through sparse coding analysis in the drawings of Pieter Bruegel the Elder ," PNAS (2010) 107, 1279-1283.
  9. Eduardo J. Sanchez Peiro - Joseph S. Kong, Nima Sarshar, and Vwani P. Roychowdhury, "Experience versus talent shapes the structure of the Web," PNAS (2008) 105, 13724–13729.
  10. Micah Schuster - Martin C. J. Bootsma and Neil M. Ferguson, " The effect of public health measures on the 1918 influenza pandemic in U.S. cities," PNAS (2007) 104, 7588-7593.
  11. Joshua Staker - Joel E. Cohen, Marta Roig, Daniel C. Reuman, and Cai GoGwilt, "International migration beyond gravity: A statistical model for use in population projections," PNAS (2008) 105, 15269-15274.
  12. John Thompson - Steven M. Manson and Tom Evans, "Agent-based modeling of deforestation in southern Yucatán, Mexico, and reforestation in the Midwest United States," PNAS (2007) 104, 20678 - 20683.
  13. Jeffrey Truesdell - Joshua Brodie, Christine De Mol, Domenico Giannone, and Ignace Loris, " Sparse and stable Markowitz portfolios," PNAS (2009) 106, 12267-12272.
  14. James Turtle - Jurij Kotar , Marco Leoni , Bruno Bassetti , Marco Cosentino Lagomarsino , and Pietro Cicuta, " Hydrodynamic synchronization of colloidal oscillators," PNAS (2010) 107, 7669-7673
  15. Vernon J Wages II - Todorov, Emanuel, "Efficient computation of optimal actions," PNAS (2009) 106, 11478-11483.
  16. Sara Wang - Van M. Savage, "A quantitative, theoretical framework for understanding mammalian sleep," PNAS (2006) 104, 1051-1056.