2007 NSF sponsored Research Experiences for Undergraduates in Mathematical Biology at Penn State Erie
July 23, 2008 BACK

Undergraduate Summer Research Program in Mathematical Biology

 

 

Undergraduate Summer Research Program in Mathematical Biology

 
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    NSF-REU in mathematical biology program accomplishments

    Research Articles

    The primary research for the below article took place at the 2000 REU:

    Erica Chauvet, Joseph E. Paullet, Joseph P. Previte, Zac Walls, A Lotka-Volterra Three Species Food Chain (PDF), Mathematics Magazine, Vol 75, No 4, 243-255, October 2002

    The primary research for the below article took place at the 2002 and 2003 REUs:

    Rebecca Ellison*, Virginia Gardner*, Joel Lepak*, Meghan O'Malley*, Joseph Paullet, Joseph P. Previte, Beth Ann Reid* and Katy Vizzard*, Pattern Formation in Small Arrays of Locally Coupled Oscillators, Int. J. of Bifurcation and Chaos 15 2283-2293. (2005)

    The primary research for the below articles took place at the 2005 REU:

    Keith Merrill*, Matthew Beauchesne*, Joseph Previte, Joseph Paullet, and Patrick Weidman, Final Steady Flow near a Stagnation Point on a Vertical Surface in a Porous Medium, Int. J. Heat and Mass Transfer 49 4681-4686 (2006).

    Ben Nolting*, Joseph Paullet, Joseph Previte, Introducing a Scavenger onto a Predator Prey Model, Applied Math E-Notes (to appear).

    The primary research for the below articles took place at the 2006 REU:

    Scott A. Stevens, Jesse Stimpson*, William D. Lakin, Nimish J. Thakore, Paul L. Penar, A Model for IIH, IIHWOP, and the Generation of Certain Pathological ICP Wave-forms to appear IEEE Transactions on Biomedical Engineering.

    Prize Winning Posters/Presentations

  • Ben Nolting wins prize for poster at 2006 JMM in San Antonio, TX ,
    (Ben's poster), (Ben with poster.)

  • Brittany Parker wins best student presentation at 2006 International Conference in Portugal!!
    (Mercyhurst College's press release)

  • Malorie Winters wins prize for her poster presentation at 2007 MAA Conference in New Orleans!!

    • REU Virtual Gardens

    A previous topic of interest in past REU's involved the study of Lindenmayer systems. These systems are used to model plant morphogenesis. Computer animation studios use these techniques in their computer animated films. Here are some movies of virtual plants that were generated by Lindenmayer systems. These systems were created by the REU students. The students were asked to model actual plants growing on the campus of Penn State Erie.

    The code was written using the package Lparser with the output files in .wrl format. The movies were captured from the screen. The .wrl files require a viewer that can be obtained free at www.modelpress.com/wrl-viewer.htm .

    Here are the 2002 students' plants (click on image for .avi movie)
  • A red maple by Beth Reid (2002)
  • Joel Lepak's amazing dandelion (2002)
  • Meghan O'Malley and Ginger Gardner's tiger lily (2002)
  • Becky Ellison and Katy Vizzard's pine (2002)
  • Becky Ellison and Katy Vizzard's weed (2002)

    • Software

    One student, Ken Kopp redesigned and significantly upgraded Lparser (the software used to generate the above pictures), although no longer available online, contact us for a copy.