Joseph M. Mahaffy SDSU
Math 636: Mathematical Modeling Fall 2014
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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 Fri. Sept. 19.

Student and PNAS Article

  1. Francis Alvarez -- Rahul Bale, Max Hao, Amneet Pal Singh Bhalla, and Neelesh A. Patankar, "Energy efficiency and allometry of movement of swimming and flying animals," PNAS (2014) 111, 7517–7521.
  2. Shane Briggs -- Kenneth J. Hsu and AndreasJ. Hsu, "Fractal geometry of music," PNAS (1990) 87, 938-941.
  3. Robert DeMonte -- Régis Chirat, Derek E. Moulton, and Alain Goriely, "Mechanical basis of morphogenesis and convergent evolution of spiny seashells," PNAS (2013) 110, 6015–6020.
  4. Denai Greene -- Brian C. O’Neilla, Michael Daltonb, Regina Fuchsc, Leiwen Jianga, Shonali Pachauric, and Katarina Zigovad, "Global demographic trends and future carbon emissions," PNAS (2010) 107, 17521–17526.
  5. Gernot Holler -- Michael H. Corteza and Joshua S. Weitz, "Coevolution can reverse predator–prey cycles," PNAS (2014) 111, 7486–7491.
  6. Afrooz Jahedi -- Petra E. Vértes, Aaron F. Alexander-Bloch, Nitin Gogtay, Jay N. Giedd, Judith L. Rapoport,
    and Edward T. Bullmore, "Simple models of human brain functional networks," PNAS (2012) 109, 5868–5873.
  7. Priscilla Kelly -- Gururaj V. Naik, Jingjing Liu, Alexander V. Kildishev, Vladimir M. Shalaev, and Alexandra Boltassev, "Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials," PNAS (2012) 109, 8834–8838.
  8. William Markuske -- Patricia J. Yang, Jonathan Pham, Jerome Choo, and David L. Hu, "Duration of urination does not change with body size," PNAS (2014) 111, 11932-11937.
  9. Aileen Nguyen -- Kyle H. Elliott, Robert E. Ricklefs, Anthony J. Gaston, Scott A. Hatch, John R. Speakman, and Gail K. Davoren, "High flight costs, but low dive costs, in auks support the biomechanical hypothesis for flightlessness in penguins," PNAS (2013) 110, 9380–9384.
  10. Wen Pan -- Maxwell N. Burton-Chellew and Stuart A. West, "Prosocial preferences do not explain human cooperation in public-goods games," PNAS (2013) 110, 216-221.
  11. Neelam Patel -- Richard E. Zeebe, "Time-dependent climate sensitivity and the legacy of anthropogenic greenhouse gas emissions," PNAS (2013) 110, 13739–13744.
  12. Matthew Richards -- Jeffrey Shaman and Alicia Karspeck, "Forecasting seasonal outbreaks of influenza," PNAS (2012) 109, 20425–20430.
  13. Martin Rodriguez Jr. -- Enkeleida Lushi, Hugo Wioland, and Raymond E. Goldstein, "Fluid Flows Created by Swimming Bacteria Drive Self-Organization in Confined Suspensions," PNAS (2014) 111, 9733–9738.
  14. Justin Sunu -- Seth A. Marvel, Jon Kleinberg, Robert D. Kleinberg, and Steven H. Strogatz, "Continuous-time model of structural balance," PNAS (2011) 108, 1771–1776.

 

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