
2011YafiaDEModelingMalignantTumorCellsInCompetitionWithImmuneSystem
04 Apr 2020
2011YafiaDEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2): 185206Abstract: In this...

2018JosephBalamuralitharan  Nonlinear DE model of Asthma Effects
01 Apr 2020
2018JosephBalamuralitharan  Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM. IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

2007RamseyEtAlParameterEstforDESmoothingApproach
01 Apr 2020
2007RamseyEtAlParameterEstforDESmoothingApproachJ. R. Statist. Soc. B (2007)69, Part 5, pp. 741–796Ramsay, J. O.. G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc....

2015CapaldiSimulatingReiintroPassengerPidgeon
26 Mar 2020
2015CapaldiSimulatingReiintroPassengerPidgeonBoggess, Erin, Jordan Collignon, and Alanna Riederer. 2015. Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).Valparaiso University. Abstract: The...

2013DeboeckEtAlReservoirModelDEModelOfPsychRegulation
22 Mar 2020
2013DeboeckEtAlReservoirModelDEModelOfPsychRegulationDeboeck, P. R., & Bergeman, C. S. (2013). The reservoir model: A differential equation model of psychological regulation. Psychological Methods, 18(2), 237256.Abstract: Differential equation models can be used to describe the...

2017BallardDice Activities for DE Models
20 Mar 2020
2017BallardDice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a realworld scenario. Each can be used either...

2005TextSLinearizeItAll
09 Dec 2019  Technique Narratives
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

1084SGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

9015SUnearthingTruth
28 Aug 2019  Modeling Scenarios
This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

Exploring differential equation of HIV infection
21 Jun 2019  Presentations
Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.

1003STextIntroNumericalMethods
10 Jan 2019  Technique Narratives
We ask students to develop two numerical methods for solving first order differential equations geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes.

1986CookeLinear And Logistic Harvesting ModelsMath Modeling Journal
09 Dec 2018  Potential Scenario Ideas
Cook, K. L. and M. Witten. 1986. Onedimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare reviewed. Both...

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...