Math 636 - Mathematical Modeling
Fall Semester, 2007 

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San Diego State University -- This page last updated 4-Oct-07

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. 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 Fri. Oct 5 .

Student and PNAS Article

  1. Sajia Akhter - Matthew D. Johnston, Carina M. Edwards, Walter F. Bodmer, Philip K. Maini, and S. Jonathan Chapman, "Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer," PNAS (2007) 104, 4008-4013.
  2. Jeremy Banning - Richard P. Sear and Martin Howard, "Modeling dual pathways for the metazoan spindle assembly checkpoint," PNAS (2006) 103, 16758–16763.
  3. Joris Billen - L. A .N. Amaral, A. Scala. M. Barthelemy, and H. E. Stanley, "Classes of small-world networks ," PNAS (2000)  97, 11149-11152 . 
  4. Jerry Chen - M. K. Stephen Yeung, Jesper Tegnér, and James J. Collins, "Reverse engineering gene networks using singular value decomposition and robust regression," PNAS (2002) 99, 6163-6168.
  5. Aaron Donahue - Peter B. McIntyre, Laura E. Jones, Alexander S. Flecker, and Michael J. Vanni, "Fish extinctions and nutrient recycling," PNAS (2007) 104, .
  6. Christopher Gray - E. L. Ionides, C. Bretó, and A. A. King, "Inference for nonlinear dynamical systems," PNAS (2006) 103, .
  7. Susan Guyler - William Amos and Andrea Manka, "Global genetic positioning: Evidence for early human population centers in coastal environments," PNAS (2006) 103, 820-824.
  8. Jon Huss - Benzhuo Lu, Xiaolin Cheng, Jingfang Huang, and J. Andrew McCammon, "Order N algorithm for computation of electrostatic interactions in biomolecular systems," PNAS (2006) 103, 19314-19319.
  9. Rafael Navarro - AHalvor M. Nilsen, Gordon Baym, and C. J. Pethick, "Velocity vortices in inhomogeneous Bose-Einstein condensates," PNAS (2006) 103, 7978-7981.
  10. Rick Navarro - Constantine Yannouleas and Uzi Landman , " Electron and boson clusters in confined geometries: Symmetry breaking in quantum dots and harmonic traps ," PNAS (2006) 103, 10600-10605 .
  11. Kevin Stovall - Yoram J. Kaufman, Ilan Koren, Lorraine A. Remer, Daniel Rosenfeld, and Yinon Rudich, The effect of smoke, dust, and pollution aerosol on shallow cloud development over the Atlantic Ocean," PNAS (2005) 102, 11207-11212.
  12. Ben Thorn - Michela Alessandra Denti, Alessandro Rosa, Giuseppe D'Antona, Olga Sthandier, Fernanda Gabriella De Angelis, Carmine Nicoletti, Mariacarmela Allocca, Orietta Pansarasa, Valeria Parente, Antonio Musarò, Alberto Auricchio, Roberto Bottinelli, and Irene Bozzoni, "Body-wide gene therapy of Duchenne muscular dystrophy in the mdx mouse model," PNAS (2006) 103, 3758­3763.