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  1. 2000-Erdman-StudyOfKinetics-FirstOrderODE

    25 Mar 2020 | Contributor(s): Brian Winkel

    2000-Erdman-StudyOfKinetics-FirstOrderODEErdman, Donald  and Maurice M. Morelock. 2000. A Study of Kinetics: The Estimation and Simulation of Systems of First-Order Differential Equations. Notes. 8 pp. Abstract: This paper introduces new and old features of the SAS System...

  2. 2018-Gavin-DynamicsOfSimpleOscillators

    24 Mar 2020 | Contributor(s): Brian Winkel

    2018-Gavin-DynamicsOfSimpleOscillatorsGavin, Henri P. 2018.  Dynamics of Simple Oscillators(single degree of freedom systems). Department of Civil and Environmental EngineeringDuke University. Notes. 39 pp.IntroductionThis document describes free and forced dynamic...

  3. 2018-AkmanEtAl-ParameterEstimationinODE-ParticlaSwarmOptimimzation

    24 Mar 2020 | Contributor(s): Brian Winkel

    2018-AkmanEtAl-ParameterEstimationinODE-ParticlaSwarmOptimimzationAkman, Devin, Olcay Akman, and Elsa Schaefer. 2018. Journal of Applied Mathematics.Volume 2018. pp 1-10.Abstract: Researchers using ordinary differential equations to model phenomena face two main challenges among...

  4. 2018-Reed-Mathematical Models of Mosquito Populations

    24 Mar 2020 | Contributor(s): Brian Winkel

    2018-Reed-Mathematical Models of Mosquito PopulationsReed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida.Honors Theses. 38 pp.ABSTRACTThe intent of this thesis is to develop ordinary differential equation models to better understandthe...

  5. 3-015-S-StyrofoamBallFall

    24 Mar 2020 | Modeling Scenarios | Contributor(s): Brian Winkel

    We are given data on a falling Styrofoam ball and we seek to model this motion.

  6. 2019-EkiciPlyley-Inquiry-BasedModelingPopulationLogisticDE

    23 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2019-EkiciPlyley-Inquiry-BasedModelingPopulationLogisticDEEkici, Celil  and Chris Plyley. 2019. Inquiry-Based Modeling of Population Dynamics With Logistic Differential and Difference Equations. PRIMUS. 29(6): 553-570.Freely available at the Mathematical Association of America...

  7. 2020-ClineEtAL-A Vision for Projects Across the Mathematics Curriculum

    23 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2020-ClineEtAL-A Vision for Projects Across the Mathematics Curriculum K. Cline, J. Fasteen, A. Francis, E. Sullivan, and T. Wendt. 2020. AVision for Projects Across the Mathematics Curriculum. PRIMUS, 30:4, 379-399. FREE at Mathematical Association of America Membership...

  8. 2019-StenderEtAl-Recovery-DEFromImpulseResponseTimeSeriesData

    23 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2019-StenderEtAl-Recovery-DEFromImpulseResponseTimeSeriesDataStender, M., S. Oberst, and N. Hoffman. 2019. Recovery of Differential Equations from Impulse Response Time Series Data for Model Identification and Feature Extraction. Vibration. 2:25-46.Abstract: Time recordings of...

  9. 2008-DuranCaginalp-ParameterOptimization-DE-AssetPriceForecasting

    23 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2008-DuranCaginalp-ParameterOptimization-DE-AssetPriceForecasting Duran, Ahmet and Gunduz Caginalp. 2008. Parameter optimization for differential equations in asset price forecasting.  Optimization Methods and Software. 23: 551-574. Abstract: A system of nonlinear asset flow...

  10. 2014-ChiversEtAl-PredPreyANDPreyRefuge

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2014-ChiversEtAl-PredPreyANDPreyRefugeJ Theor Biol. 2014 Nov 7;360:271-278. doi: 10.1016/j.jtbi.2014.07.016. Epub 2014 Jul 21.Chivers WJ , Gladstone W , Herbert RD , and Fuller MM. 2014. Predator-prey systems depend on a prey refuge. J Theor Biol....

  11. 2015-Wang-FourthOrderDEModelingSuspensionBridges

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2015-Wang-FourthOrderDEModelingSuspensionBridgesWang, Yongda. 2015. Some fourth order differential equations modeling suspension bridges. PhD Thesis. Polytechnic university of Milan ITALYAbstract: NOWADAYS, the complicated oscillations of suspension bridges are still not completely...

  12. 2014-Smith-Modeling Zombies

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2014-SmithEtAl-Modeling ZombiesSmith?, Rogert. 2014. Mathematical Modeling of Zombies.  University Ottawa Press. 26 pp.AbstractKnowing how long we have before we face off with a zombie could mean the difference between life, death and zombification. Here, we use diffusion to model...

  13. 2013-Evans-GrowthDecay3e-EdServicesAustralia

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2013-Evans-GrowthDecay3e-EdServicesAustralia Evans, Michael. 2013. Growth and Decay. Calculus Module 13. Supporting Australian Mathematics Project. Educaiton Services Australia: South Victoria AUSTRALIA Motivation Almost everything in our world grows and decays. From the growth of...

  14. 2013-DeboeckEtAl-ReservoirModel-DEModelOfPsychRegulation

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2013-DeboeckEtAl-ReservoirModel-DEModelOfPsychRegulationDeboeck, P. R., & Bergeman, C. S. (2013). The reservoir model: A differential equation model of psychological regulation. Psychological Methods, 18(2), 237-256.Abstract: Differential equation models can be used to describe the...

  15. 2018-Sonntag_LectureNotes-MathSystemsBiology

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2018-Sonntag_LectureNotes-MathSystemsBiologySontag, Eduardo D. 2018. Lecture Notes on Mathematical Systems Biology.  305 pp. http://www.sontaglab.org/publications.html. Accessed 20 March 2020.The first version of these notes dates back to 2005. They were originally heavily...

  16. 2019-Bauer-The Final Size of a Serious Epidemic

    22 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2019-Bauer-The Final Size of a Serious EpidemicBrauer, Fred. 2019. The Final Size of a Serious Epidemic. Bulletin of Mathematical Biology. 81(3): 869–877.Abstract: In an epidemic of a serious disease, there is likely to be behavioral response that decreases the...

  17. 2004-LedzewiczSchattler-ApplicationControlTheorytoCancerChemotherapy

    20 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2004-LedzewiczSchattler-ApplicationControlTheorytoCancerChemotherapy.Ledzewicz, Urszula and Heinz Schattler. 2004. Application of Control Theory in Modelling Cancer Chemotherapy. Paper at ICCAS2004 August 25-27, The Shangri-La Hotel, Bangkok, THAILAND. Abstract: Phase...

  18. 2011-CasaXPS-Mechanics ApplicationsDEs

    20 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2011-CasaXPS-Mechanics ApplicationsDEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com.     Table of ContentsVariable Forces and Differential Equations  2Differential Equations  3Second Order Linear Differential...

  19. 2009-Haran-IntroModelsForDiseaseDynamics

    20 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2009-Haran-IntroModelsForDiseaseDynamicsHaran, Murali. 2009.  An introduction to models for disease dynamics. Presentation. 68 slides. Opening slides:Useful to model and understand disease dynamics because:Important for basic science as well as public...

  20. 2007-Altafini-ODEModelsInSystemBiology

    20 Mar 2020 | Potential Scenario Ideas | Contributor(s): Brian Winkel

    2007-Altafini-ODEModelsInSystemBiologyAltafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides.From Opening SlideSystems Biology = investigates function of genetic, molecular and cellular processes in a systematic...

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