01 Sep 2019 | | Contributor(s):: Kurt Bryan
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic Hill-Keller model for a...
2014-EnderlingChaplain-Modeling Tumor Growth And Treatment
05 Sep 2017 | | Contributor(s):: Brian Winkel
Enderling, Heiko and Mark Chaplain. 2014. Mathematical Modeling of Tumor Growth and Treatment. Current Pharmacological Design. 20(00): 1-7.Abstract: Using mathematical models to simulate dynamic biological processes has a long history. Over the past couple of decades or so, quantitative...
29 May 2020 | | Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
28 May 2020 | | Contributor(s):: Brian Winkel
This is a situation where the student is a young tech staff member in a company and is charged with anlyzing costs for a spring to meet certain specifications.
13 Aug 2019 | | Contributor(s):: Kurt Bryan
This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...
Population Modeling with M and M's
30 May 2015 | | Contributor(s):: Brian Winkel
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented. Physical activities involving MandM’s can be modeled by difference equations and several population phenomena, including death and immigration, are studied.
Presently. serving as an Assistant Professor of Mathematics in Department of Basic Sciences and Related Studies at Mehran University of Engineering and Technology, Jamshoro, Pakistan.Completed...