Mark Campanelli
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Graduate Student, Ph.D. Candidate 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 Ph.D., I am doing research in the area of Math Biology under the sage guidance of Tomas Gedeon. I am working on the nonlinear, spatio-temporal dynamics of coordinated mRNA/protein expression in living cells. In particular, I am 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 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:
Math 105; Math 150, su04; Math 181, sp04, fa06; Math 182, fa04, fa07, sp08; Math 224, sp05; Math 225, sp07, su07. fa08.
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 |