
1150SCancerTherapy
03 Aug 2021   Contributor(s):: Maila Hallare, Iordanka Panayotova
This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.Activities will help students appreciate the importance of...

1124SWorldPopulation
30 May 2020   Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

2004Mitchell, David A., Oscar F. von Meien, Nadia Krieger, Farah Diba H. Dalsenter  A review of recent developments in modeling of microbial growth kinetics and intraparticle phenomena in solidstate fermentation.
05 Apr 2020   Contributor(s):: Brian Winkel
Mitchell, David A., Oscar F. von Meien, Nadia Krieger, Farah Diba H. Dalsenter. 2004. A review of recent developments in modeling of microbial growth kinetics and intraparticle phenomena in solidstate fermentation. Biochemical Engineering Journal. 17:...

2018Tatro, 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...

2013Evans, Michael  Growth and Decay. Calculus Module 13
22 Mar 2020   Contributor(s):: Brian Winkel
2013EvansGrowthDecay3eEdServicesAustraliaEvans, Michael. 2013. Growth and Decay. Calculus Module 13. Supporting Australian Mathematics Project. Education Services Australia: South Victoria AUSTRALIASee https://www.amsi.org.au/ESA_Senior_Years/PDF/GrowthDecay3e.pdf...

2017Rosario, G. Michael and Dr. M. James Antony  Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
20 Mar 2020   Contributor(s):: Brian Winkel
Rosario, G. Michael and Dr. M. James Antony. 2017. Mathematical Model for Future Population Scenario In India And China – An Econometric Approach. International Journal of Scientific & Engineering Research. 8(5):...

2006Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec  Growth of Microbial Populations  Mathematical Modeling, Laboratory Exercises, and ModelBased Data Analysis.
20 Mar 2020   Contributor(s):: Brian Winkel
Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec. 2006. Growth of Microbial Populations  Mathematical Modeling, Laboratory Exercises, and ModelBased Data Analysis. BIOCHEMISTRY AND MOLECULAR BIOLOGY EDUCATION. 34(6):...

2015Luttmer, Erzo G.J.  Four Models of Knowledge Diffusion and Growth.
13 Mar 2020   Contributor(s):: Brian Winkel
Luttmer, Erzo G.J. 2015. Four Models of Knowledge Diffusion and Growth. Working Paper. Federal Reserve Bank of Minneapolis, Research Department. See https://www.minneapolisfed.org/research/wp/wp724.pdf. Abstract: This paper describes how longrun...

1998Louie, K. H. Clark, and P. C. D. Newton  Analysis of differential equation models in biology: a case study for clover meristem populations.
12 Mar 2020   Contributor(s):: Brian Winkel
Louie, K. H. Clark, and P. C. D. Newton. 1998. Analysis of differential equation models in biology: a case study for clover meristem populations. New Zealand Journal of Agricultural Research. Vol. 41: 567576.See https://www.tandfonline.com/doi/abs/10.1080/00288233.1998.9513340...

1087SThanosPopulationDynamics
07 Oct 2019   Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

6010SSocialCampaigns
23 Sep 2018   Contributor(s):: Hyunsun Lee
Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The SusceptibleInfectedRecovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a system...

1062SBacterialGrowth
15 Sep 2018   Contributor(s):: Arati Nanda Pati
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

1102SCancerGrowth
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...

2009Mallett, Travis and Josh Fetbrandt  Differential Equations Class Notes.
11 Sep 2017   Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

2001Knisley, Jeff and Lyndell Kerley  Using data to motivate the models used in introductory differential equations.
11 Sep 2017   Contributor(s):: Brian Winkel
Knisley, Jeff and Lyndell Kerley. 2001. Using data to motivate the models used in introductory differential equations. PRIMUS. 11(2): 111123.See https://www.tandfonline.com/doi/abs/10.1080/10511970108965983 .Abstract: Although data is often used to estimate parameters for models in...

2009EdelsteinKeshet, Leah  Chapter 11 – Differential Equations. Notes.
10 Sep 2017   Contributor(s):: Brian Winkel
EdelsteinKeshet, Leah. 2009. Chapter 11 – Differential Equations. See http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g.,...

2011Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint Slides.
10 Sep 2017   Contributor(s):: Brian Winkel
Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint. 81 slides. From the slides: Background: Delay Equations Ordinary vs. Delay Differential Equations Applications in Biology ...

2012Mahaffy, Joseph M.  Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PowerPoint
10 Sep 2017   Contributor(s):: Brian Winkel
Mahaffy, Joseph M. 2012. Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PowerPoint. 128 slides. See http://jmahaffy.sdsu.edu/courses/f11/math122/beamer_lectures/intro_de.pdf . Accessed 9 September 2017. Here is the outline of the...

2013Caldwell, Alicia  Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
08 Sep 2017   Contributor(s):: Brian Winkel
Caldwell, Alicia. 2013. Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data. Utah State University. All Graduate Plan B and other Reports. Paper 330.See https://digitalcommons.usu.edu/gradreports/330/ .Abstract: Students rarely...

1988Rodin, E.Y. and N. Taber  Yeast Growth Modelling in a Laboratory.
07 Sep 2017   Contributor(s):: Brian Winkel
Rodin, E.Y. and N. Taber. 1988. Yeast Growth Modelling in a Laboratory. Math. Comput. Modelling. 10(1): 6773.See Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and...