5th PIMS Graduate Mathematics Modelling Camp Project

"One fish, Two fish, Red fish, Blue fish": Mathematically Modeling a Fresh Fish Detector

Authors

Ibrahim Agyemang (ibagyemang[at]hotmail.com)
Erik Andries (andriese[at]tahpcc.unm.edu)
Dhavide Aruliah (dhavide[at]fields.utoronto.ca)
Mélanie Beck (beck[at]math.mcgill.ca)
Qingguo Li (qlib[at]sfu.ca)
Colin Macdonald (cbm[at]math.sfu.ca)
Matthias Mück (mueck[at]math.toronto.edu)
Robin Swain (rswain[at]math.mun.ca)

Abstract

The PIMS Mathematical Modeling spring workshop presented six different environments to be considered for modeling during the program. For this group, Chris Budd proposed that we study data obtained through experiments using a device designed to determine the freshness of fish. Through an electric current applied to a coil, a needle-shaped probe is projected by a force directly on the surface of a test sample. The depth to which the probe pushes the surface is recorded by the coil as a function of time. The goal of this project is to use the data to indicate what mechanisms govern the dynamics of the probe over time, namely models of ordinary differential equations from which parameters can be extracted to determine fresh fish from those which are not.

Keywords

Mathematical modelling, differential equations, noise reduction, nonlinear, visco-elastic medium, impact oscillator.

Downloads

Download the final writeup in postscipt, gzipped postscript or pdf format.
Download the slides from our presentation in postscipt, gzipped postscript or pdf format.
Download a package containing the LaTeX source, figures and source code in either tar.gz or zip format.
There is also a big package, gimmc5_archive.tar.gz, containing all the source code and stuff that we used, a lot that wasn't used, and then some. Currently, I'm not making this file available, however, please send email if for some reason you want to look though this.

Other

The GIMMC 2002 website.
Chris Budd's homepage.

Copyright (C) 2003 Colin Macdonald.
As far as Colin Macdonald is concerned, verbatim copying and distribution of this webpage is permitted in any medium, provided this notice is preserved. Distribution of the contents may be subject to the other authors.