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  1. 2014-ChiversEtAl-PredPreyANDPreyRefuge

    22 Mar 2020 | 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....

  2. 2015-Wang-FourthOrderDEModelingSuspensionBridges

    22 Mar 2020 | 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...

  3. 2014-Smith-Modeling Zombies

    22 Mar 2020 | 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...

  4. 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...

  5. 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...

  6. 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...

  7. 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...

  8. 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...

  9. 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...

  10. 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...

  11. 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...

  12. 2016-WilkieEtAl-Using ODEs to Model Cancer

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

    2016-WilkieEtAl-Using ODEs to Model CancerWilkie, Kathleen P.,Philip Hahnfeldt, and Lynn Hlatky. 2016. Using Ordinary Differential Equations to Explore Cancer-Immune Dynamics and Tumor Dormancy. Preprint. 3 pp.Abstract: Cancer is not solely a disease of the genome, but is...

  13. 2017-Goulet-Parameter Estimation in Chemical Kinetics

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

    2017-Goulet-Parameter Estimation in Chemical KineticsGoulet, D. 2017. Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments. SIAM REVIEW. 58(2): 331–353.Abstract. In many chemical and biological applications, systems of differential equations containing...

  14. 2016-Langtangen-Pederson-ScalingDifferentialEquaitons

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

    2016-Langtangen-Pederson-ScalingDifferentialEquaitonsLangtangen, Hans Petter and Geir K. Pedersen. 2016. Scaling of Differential Equations. New York: Springer. Text 234 pages. https://www.springer.com/gp/book/9783319327259. Accessed 20 March 2020.The Preface,Finding proper...

  15. 2017-Ballard-Dice Activities for DE Models

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

    2017-Ballard-Dice 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 real-world scenario. Each can be used either...

  16. 2015-ZhangWang-PublicOpinionPropagation

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

    2015-ZhangWang-PublicOpinionPropagatioZhang, Meimei and Wenmin Wang. 2017. Study on public opinion propagation in self media age based on time delay differential model. Procedia Computer Science. 122: 486-493.Abstract: With the emergence and popularization of computers, human society...

  17. 2016-Rodriguez-ApplicationOfSIRModel

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

    2016-Rodriguez-ApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 92-97. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...

  18. 2016-Moura-ModelingAndSystemsAnalysis

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

    2016-Moura-ModelingAndSystemsAnalysisMoura, Scott. 2016.  CHAPTER 1: MODELING AND SYSTEMS ANALYSIS. Class Notes for CE 295 — Energy Systems and Control, University of California, Berkeley. 20 pp.Overview: The fundamental step in performing systems analysis and control...

  19. 2016-Tanioka-ModelingEconGrowthUsingDE

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

    2016-Tanioka-ModelingEconGrowthUsingDETanioka, Chad. 2016. Modeling Economic Growth Using Differential Equations. Presentation. 28 clides1. Introduction2. Setting up the model3. Solow's fundamental differential equation4. Solving for equilibrium solutions

  20. 2017. Rosario-Mathematical-Model-for-Future-Population-Scenario-In-India-And-China-An-Econometric-Approach

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

    2017. Rosario-Mathematical-Model-for-Future-Population-Scenario-In-India-And-China-An-Econometric-ApproachRosario, G. Michael and Dr. M. James Antony. 2017. Mathematical Model for Future Population Scenario In India And China – An Econometric Approach. International...