
Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs
16 Jun 2020  Contributor(s): Karen Bliss
We place here all the materials in support of the SIMIODE Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs. This Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a springmass using...

1088SRoomTemperature
15 Jun 2020  Modeling Scenarios  Contributor(s): Karen Bliss
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

Remote Teaching Module  Modeling the Spread of Oil Slick
10 Jun 2020  General Resources  Contributor(s): Karen Bliss
We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module  Modeling the Spread of Oil Slick.This module contains1) (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

3031SSpringCost
28 May 2020  Modeling Scenarios  Contributor(s): Karen Bliss
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

5010SDNADegradation
21 Apr 2020  Modeling Scenarios  Contributor(s): Karen Bliss
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

5010SDNADegradation
21 Apr 2020  Modeling Scenarios  Contributor(s): Brian Winkel
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

6045SCholeraTranmission
19 Apr 2020  Modeling Scenarios
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

6045SCholeraTranmission
19 Apr 2020  Modeling Scenarios  Contributor(s): Brian Winkel
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

2019ElishakoffDifferentialEquationsLoveANDLoveDifferentiaEquations
06 Apr 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
2019ElishakoffDifferentialEquationsLoveANDLoveDifferentiaEquationsElishakoff, Isaac. 2019. Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 122 SynopsisIn this paper, simple ordinary differential...

2018WeberEtAlSensitivityAnalysisOfODEModels
06 Apr 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
2018WeberEtAlSensitivityAnalysisOfODEModelsWeber, Frank, Stefan Theers, Dirk Surmann, Uwe Ligges, and Claus Weihs. 2018. Sensitivity Analysis of Ordinary Differential Equation Models.IntroductionThe goal of sensitivity analysis is to examine how sensitive a mathematical model...

2014WronaEtAlTwocompartmentModelAsTeachingToolForCholesterolHomeostasis
06 Apr 2020  Potential Scenario Ideas
2014WronaEtAlTwocompartmentModelAsTeachingToolForCholesterolHomeostasisWrona, Artur, Joanna Balbus, Olga Hrydziuszko, and Krystian Kubica. 2015. How We Teach: Classroom And Laboratory Research Projects  Twocompartment model as a teaching tool for cholesterol homeostasis. Adv...

2013DontwiEtAlModelingMemorizationAndForgetfulnessUsingDE
05 Apr 2020  Potential Scenario Ideas
2013DontwiEtAlModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...

2012ObenbDentehEtAlModelingStudentAffinityForLecture
05 Apr 2020  Potential Scenario Ideas
2012ObenbDentehEtAlModelingStudentAffinityForLectureObengDenteh1, W., Odum KoduaNana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University...

2009MartenODEsForStudyingEpilepsyDynamics
04 Apr 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
2009MartenODEsForStudyingEpilepsyDynamicsMarten, Frank, Serafim Rodrigues, Piotr Suffczynski, Mark P. Richardson, and John R. Terry. 2009. Derivation and analysis of an ordinary differential equation meanfield model for studying clinically recorded epilepsy dynamics. Phys. Rev. E 79,...

2019KossSIR Models_ Differential Equations that Support the Common Good
02 Apr 2020  Potential Scenario Ideas
2019KossSIR Models_ Differential Equations that Support the Common GoodKoss, Lorelei. 2019. SIR Models: Differential Equations that Support the Common Good. CODEE Journal. 12 (2019): Article 6. https://scholarship.claremont.edu/codee/vol12/iss1/6/ .12 pages.Abstract: This...

2016BarbarossaKuttlerMathModelOfBacteriaCommunication
01 Apr 2020  Potential Scenario Ideas
2016BarbarossaKuttlerMathModelOfBacteriaCommunicationBarbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 117.Abstract: Quorum sensing is a bacterial celltocell communication mechanism...

2018BlomhojEtAlCompartmentModels
01 Apr 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
2018BlomhojEtAlCompartmentModelsM. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp. Chapter 1  Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical...

1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitats
01 Apr 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR. SIAM J....

2007ChoisyEtAlMathematicalMdelingOfInfectiousDiseasesDynamics
01 Apr 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
2007ChoisyEtAlMathematicalMdelingOfInfectiousDiseasesDynamicsChoisy, M., J.F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases Dynamics.From Introduction: After presenting general notions of mathematical modeling (Section 22.2) and the nature of...

2018BrinksIllnessDeathModelInChronicDiseaseEpidemiology
29 Mar 2020  Potential Scenario Ideas  Contributor(s): Brian Winkel
2018BrinksIllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. IllnessDeath Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...