19 Jan 2022 | | Contributor(s):: Jennie D'Ambroise
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and Gompertz. Students solve first-order differential...
20 Aug 2021 | | Contributor(s):: Brody Dylan Johnson, Elodie Pozzi
The goal of this activity is to show students how population models can be used to examine social issues. The students will examine three different population models and will use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women...
2018-Tatro, Dyjuan - The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth. Senior Project.
01 Apr 2020 | | Contributor(s):: Brian Winkel
Tatro, Dyjuan. 2018. The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth. Bard CollegeBard Digital Commons. Senior Projects Spring 2018 Bard Undergraduate Senior Projects. 23 pages.Abstract: Mathematical models are finding increased use in biology, and...
18 Aug 2018 | | Contributor(s):: Natali Hritonenko
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...
29 Jul 2018 | | Contributor(s):: Jue Wang
This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...
09 Jun 2018 | | Contributor(s):: Randy Boucher, Ryan Edmund Miller
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...
2017-Shi, Junping - Modeling Population Growth Single Species
12 Sep 2017 | | Contributor(s):: Brian Winkel
Shi, Junping. Modeling Population Growth Single Species. Activities Notes. 4 pp.This is a set of descriptions of various logistic models. Keywords: differential equation, model, harvest, Gompertz, Allee effect, constant harvest
2015-McIlwain, Hope - Tumor growth/Gompertz model article in PRIMUS
14 Jul 2015 | | Contributor(s):: Hope McIlwain
Abstract of the article: The use of modeling projects serves to integrate, reinforce, and extend student knowledge. Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to...