
1062SBacterialGrowth
15 Sep 2018  Modeling Scenarios
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...

1053SSlimeSpread
30 Aug 2018  Modeling Scenarios
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

7040STankInterruptMixing
22 Aug 2018  Modeling Scenarios
We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

1067SModelingWithSigmoidCurves
18 Aug 2018  Modeling Scenarios
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

1130SAspirinAbsorption
15 Aug 2018  Modeling Scenarios
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zeroorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to...

1984HaysCompartmentModelsForHumanIodineMetabolism
07 Mar 2018  Potential Scenario Ideas
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

2017Agmour EtAlOptimizationofFishermenProfitsExploitingCompetingSpecies
07 Mar 2018  Potential Scenario Ideas
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

2017AllaliMathModelingOfAdaptiveImmunieResponsesHBVInfection
07 Mar 2018  Potential Scenario Ideas
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...

2017SuebcharoenPredatorPreyModelWithSwitchingForPredator
07 Mar 2018  Potential Scenario Ideas
Suebcharoen, T. 2017. Analysis of a PredatorPrey Model with Switching and StageStructure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...

FirstOrderModels
03 Mar 2018  Potential Scenario Ideas
Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a mathematical...

LeakingBucket: Differential Equations in Engineering
03 Mar 2018  Potential Scenario Ideas
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

The Logistic Differential Equation
03 Mar 2018  Potential Scenario Ideas
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...

2008RevelleCuesTendanciesActionsDynamicsOfActionRevisited
01 Dec 2017  Potential Scenario Ideas
Revelle, William. 2008. Cues, Tendencies and Actions: The Dynamics of Action Revisited. Department of Psychology, Northwestern University. Paper. 20 pp.Abstract: The theory of the Dynamics of Action Atkinson & Birch (1970) was a theory before its time. Few psychologists of the 1970s...

2016LofgrenEtAlEquationsOfTheEndMathModelingUsingZombieApocapylse
28 Nov 2017  Potential Scenario Ideas
Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright. 2016. Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse. Journal of Microbiology & Biology Education. 17(1): 137142.From the Introduction, “Mathematical models of infectious...

2008WitthansenExamplesOfDifferentialEquationsInPhysics
28 Nov 2017  Potential Scenario Ideas
WittHansen, Ole. Examples Of Differential Equations In Physics. Article. 29 pp. Source: www.olewitthansen.dk . Accessed 27 November 2017.This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation...

2012BuschContinuousSimulationWithODEs
28 Nov 2017  Potential Scenario Ideas
Busch, Julian. 2012. Continuous simulation with ordinary differential equations. PowerPoint slides. 41 slides.This is a talk given with emphasis on differential equations and numerical methods leading to application for Nbody simulation. Keyword: differential equation, Nbody,...

2014EastonMathModelsOfHealthFocusingOnDiabetesDelayDEAndDataMining
28 Nov 2017  Potential Scenario Ideas
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining . PhD Thesis. Northumbria University Newcastle. http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have been applied to...

2017DurojayAjieMathModelOfSPreadOfEbolaVirusDisease
28 Nov 2017  Potential Scenario Ideas
Durojaye, M. O. 2017. Mathematical Model of the Spread and Control of Ebola Virus Disease. Applied Mathematics. 7(2): 2331.Abstract This paper analyses the transmission dynamics of Ebola Virus Disease using the modified SEIR model which is a system of ordinary differential equation. We...

2012DominguezGomperzModelAnalytisForTumors
28 Nov 2017  Potential Scenario Ideas
Domingues, José Sérgio. 2012. Gompertz Model: Resolution and Analysis for Tumors. Journal of Mathematical Modelling and Application. 1(7): 7077.Abstract: It is called cancer a wide range of diseases that has in common an unusual cells proliferation of the organism...

1988StrogatzLoveAffairsAndDifferentialEquations
26 Nov 2017  Potential Scenario Ideas
Strogatz, Steven H. 1988. Love Affairs and Differential Equations. Mathematics Magazine. 61(7): 35.This is a system of differential equations to describe the love between Shakespeare’s Romeo and Juliet.Keywords: differential equation, system, linear, parameters