Mark Campanelli, PhD
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Former Graduate Student Department of Mathematical Sciences Montana State University Bozeman, MT 59717-2400 | |||||
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A Gallatin River Rainbow
Trout (More photos...) (Photo by Bryan Roosien) |
"Beautiful Bozeman Montana, where you're never more than a stone's throw from a Subaru!"
Research:
For my PhD in mathematics, I did research in computational/systems biology under the sage guidance of Tomas Gedeon. We continue to collaborate on problems concerning the nonlinear, spatio-temporal dynamics of coordinated gene expression in living cells. In particular, we are investigating the patterned development of somites in vertebrate embryos modeled with coupled systems of delay differential equations. Here is a Quicktime movie (~37.2 MB) of a simulation of posterior wave formation. Here is my research statement.
Here is a pdf presentation (~5.7 MB) of my research given for my oral examination. Also, here is a very basic introduction (~1.5 MB) to delay differential equations as they relate to my research. You will need Adobe's Acrobat Reader to view these files.
| During my masters, I worked under Curt Vogel on inverse problems related to adaptive optics (AO) in vision science and optometry. |
| Dewarping Scanned Retinal Images (~5.6 MB) is a pdf presentation describing the dewarping of images from the Adaptive Optics Scanning Laser Ophthalmoscope (AOSLO) built and operated by Austin Roorda's group who are now at UC-Berkeley. |
DynaLite Talks:
In Fall 2007, I gave a talk entitled Cellular Oscillators, or: How I learned to stop worrying and love delay differential equations. (~1.5 MB). This talk discusses the basics of delay differential equations and how intracellular delays can produce sustained cellular mRNA/protein oscillations.
In Fall 2006, I gave a talk entilted From Fetal to Newborn Circulation (~750 kB). This talk was adapted from one given by C.S. Peskin at the Institute for Mathematics and Its Applications at the University of Minnesota - Twin Cities.
| In Spring 2005, I gave a talk entitled An Introduction to Discrete Dynamical Systems (~1.5 MB). This talk focuses on the Contractive Mapping Principle, and ended with a brief discussion of Iterated Function Systems and Fractals. |
| sierpinskiIC.avi (~2.2 MB), sierpinskiChecker.avi (~2.2 MB), sierpinskiLena.avi (~2.2 MB), are movies which accompanied the talk. They show an IFS converging to the Sierpinski Gasket for three different initial conditions. |
| A good resource for Fractal Compression may be found at the Waterloo Fractal Coding and Analysis Project sponsored by the Applied Mathematics Department at the University of Waterloo in Ontario, Canada. |
Courses I've taught in the past (old numbering):
Math 105; Math 150, su04; Math 181, sp04, fa06; Math 182, fa04, fa07, sp08; Math 224, sp05; Math 225, sp07, su07, fa08, sp09.
My Schedule - Spring 2009
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| Hour \ Day | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 8 am | |||||
| 9 | Office Hours | ||||
| 10 | Math 225-02 | Math 225-02 | Math 225-02 | Math 225-02 | |
| 11 | Office Hours | Office Hours | Office Hours | ||
| Noon | |||||
| 1 | Math 586 | Math 586 | Math 586 | ||
| 2 | |||||
| 3 | Applied Math Seminar |
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| 4 | DynaLite Seminar |
Meeting | |||
| 5 |