5th PIMS Graduate Mathematics Modelling Camp Project

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


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)


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.


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