
1096SOpAmpDifferentiator
09 Aug 2020   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

2019HuModellingLongitudinalDataWithDEs
06 Apr 2020   Contributor(s):: Brian Winkel
2019HuModellingLongitudinalDataWithDEsHu,Yueqin and Raymond Treinen. 2019. A onestep method for modelling longitudinal datawith differential equations. British Journal of Mathematical and Statistical Psychology. 72: 38–60Abstract: Differential equation models...

2018ReedMathematical Models of Mosquito Populations
24 Mar 2020   Contributor(s):: Brian Winkel
2018ReedMathematical 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...

2017BallardDice Activities for DE Models
20 Mar 2020   Contributor(s):: Brian Winkel
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...

2006MacWilliamsDeveloping ODES To DescribePaperHelicopter
15 Mar 2020   Contributor(s):: Brian Winkel
2006MacWilliamsDeveloping ODES To DescribePaperHelicopterMacWilliams, Matt. 2006. Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter. The Review: A Journal of Undergraduate Student Research. 8(8): 3342.Abstract: Since George...

1111SSpreadOfInformation
02 Sep 2019   Contributor(s):: Jeff Pettit
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

1084SGoingViral
31 Aug 2019   Contributor(s):: Bill Skerbitz
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...

3067SRLCSeriesCircuit
28 Apr 2019   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

1125SDiceyPopulations
04 Mar 2019   Contributor(s):: Brian Winkel
We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

1077SRLMSimSeriesCircuit
03 Mar 2019   Contributor(s):: Virgil Ganescu
In this validationoriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared to...

2017Agmour EtAlOptimizationofFishermenProfitsExploitingCompetingSpecies
07 Mar 2018   Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
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...

Great Comments on Modeling Scenario Offered in Comments Tab of Modeling Scenario
10 Feb 2018 
Posted by Brian Winkel
Bill Kerbitz, from Wayzata High School in Plymouth MN, recently commented on a Modeling Scenario, 1001ATMandMDeathAndImmigration, What is most interesting is what Bill found as...
https://www.simiode.org/blog/2018/02/greatcommentsonmodelingscenarioofferedincommentstabofmodelingscenario

Wandi Ding  Experience and Lessons Learned from Using SIMIODE Modeling Scenarios
19 Jan 2018   Contributor(s):: Wandi Ding
Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at...

Bill Skerbitz  The Logic of Logistics
19 Jan 2018   Contributor(s):: Bill Skerbitz
The Logic of LogisticsBy Bill Skerbitz, Wayzata High SchoolA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018

Dan Teague  Comparing Simulations with Solutions for Classical Differential Equation Models
18 Jan 2018   Contributor(s):: Dan Teague
Comparing Simulations with Solutions for Classical Differential Equation Models By Daniel J. Teague, North Carolina School of Science and Mathematics A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at...

2012BuschContinuousSimulationWithODEs
28 Nov 2017   Contributor(s):: Brian Winkel
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,...

2005WedenbergPharmacokinetics Paracetamol In Dogs
09 Sep 2017   Contributor(s):: Brian Winkel
Wedenberg, Minna. 2005. Pharmacokinetic modeling of gastric emptying and small intestinal transit time in dogs using paracetamol and sulfasalazine as markers. Master’s Degree Project. Uppsala Universitet. 41 pp.From the introductionThe development of new drug substances is a complex,...

2006WilenskyReismanThink Like Wolf Sheep Firefly
08 Sep 2017   Contributor(s):: Brian Winkel
Wilensky, U. and K. Reisman. 2006. Thinking Like a Wolf, a Sheep, or a Firefly: Learning Biology Through Constructing and Testing Computational Theoriesan Embodied Modeling Approach. Cognition Instruction. 24(2): 171209.Abstract:Biological phenomena can be investigated at multiple...

1996ErdmanMorelockStudyOfKinetics
03 Sep 2017   Contributor(s):: Brian Winkel
Erdman, Donald (SAS Institute Inc., Cary, NC) and Maurice M. Morelock, (Boehringer Ingelheim Pharmaceuticals). 1996. A Study of Kinetics: The Estimation and Simulation of Systems of FirstOrder Differential...

1037SCommonColdSpread
30 Nov 2016   Contributor(s):: Richard Corban Harwood
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...