Math 636 - Mathematical Modeling
Fall Semester, 2009 

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San Diego State University -- This page last updated 15-Sep-09

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. 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. Oct 7.

Student and PNAS Article

  1. Glenn Biren - Steve Pincus and Rudolf E. Kalman, "Irregularity, volatility, risk, and financial market time series," PNAS (2004) 101, 13709–13714.
  2. Jonathan Boiser - Rui Jiang, Zhidong Tu, Ting Chen, and Fengzhu Sun, "Network motif identification in stochastic networks," PNAS (2006) 103, 9404–9409.
  3. Lars Bornak - Edward H. Kaplan and Moche Kress, "Operational effectiveness of suicide-bomber-detector schemes: A best-case analysis," PNAS (2005) 102, 10399–10404.
  4. Tim Buskin - Xi Lu, Michael B. McElroy, and Juha Kiviluoma, "Global potential for wind-generated electricity," PNAS (2009) 106, 10933–10938.
  5. Jeffrey Holland - Grigory Isaakovich Barenblatt and Alexandre J. Chorin, " A mathematical model for the scaling of turbulence," PNAS (2004) 101, 15023–15026.
  6. Martin Kandes - I. Eliazar and J. Klafter, "On the nonlinear modeling of shot noise", PNAS (2005) 102, 13779.*
  7. Huy Pham - Boris Khaykovicha, Natalia Kozlovab, Wonshik Choic, Aleksey Lomakinb, Chintan Hossaine, Yongjin Sungc,
    Ramachandra R. Dasaric, Michael S. Feldc, and George B. Benedekb, "Thickness–radius relationship and spring constants
    of cholesterol helical ribbons," PNAS (2009) 106, Early Edition.
  8. Julien Pierret - S. A. Sisson, Y. Fan, and Mark M. Tanaka, "Sequential Monte Carlo without likelihoods," PNAS (2007) 104, 1760–1765.
  9. Carlos Prieto Gomez -
  10. Max Rietmann - Jonathan A. Sherratta,1 , Matthew J. Smithb , and Jens D. M. Rademacherc, "Locating the transition from periodic oscillations to spatiotemporal  chaos in the wake of invasion," PNAS (2009) 106, 10890-10895.
  11. Ogun Tigli - John Hopcroft, Omar Khan, Brian Kulis, and Bart Selman, " Tracking evolving communities in large linked networks," PNAS (2004) 101, 5249–5253.
  12. Mark Wilson - D. Gfeller, P De Los Rios, A. Caflisch, and F. Rao, “Complex network analysis of free-energy landscapes,” PNAS (2007) 104, 1817-1822 .
  13. Peter Zajac - H. B. STUHRMANN, A. TARDIEU, L. MATEU, C. SARDET, V. LUZZATI, L. AGGERBECK, AND
    A. M. SCANJU, "Neutron Scattering Study of Human Serum Low Density Lipoprotein," PNAS (1975) 72, 2270-2273.