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    2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
    The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.

    Keywords: adaptive copingReservoirsNotre Dame Longitudinal Study on Agingoutputinput distributionstressorscoping resources

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    2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
    The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle...

    Keywords: case studyRunge-Kuttaspring mass dampervehicle crash

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    2015-Cano-EtAl-Bringing partial differential equations to life for students
    This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.

    Keywords: Java SimulationFreeFemauthoring toolsauthoring methodsphysical modellingclassroom teaching

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    2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
    This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS Excel© workbook.

    Keywords: ExcelSpreadsheet

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    1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
    A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.

    Keywords: sensitivity analysisstability analysissteady statesgrowing pointsbudsmeristems

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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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    1-095-RatingChessPlayers-ModelingScenarios
    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.

    Keywords: simulationchessElo's methodchess rating

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    Climate Change Effects on Lake Temperatures (Project EDDIE)
    Students explore new modeling and computing tools while learning fundamental concepts about how climate change will affect lakes

    Keywords: climate changeProject EDDIElakes

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    SEIR simulation activity for flattening the curve
    This is a short exploration activity to introduce SIR and SEIR models without explicitly introducing differential equations. It utilizes the R package EpiDynamics and students can run the...

    Keywords: RRStudioInfectious Disease ModelingSIR modelsSIRseircovidcoronavirus

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    Facilitating the implementation and adaptation of data-centric teaching resources by closing gaps in the Open Education Resource (OER) lifecycle
    Presentation on data-centric open educational resources given at the 2019 UBER-GRC

    Keywords: DIGdata-centric teaching

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    Using gross parasites to sneak even grosser equations into the introductory biology classroom
    This was an oral presentation at the 2015 Annual Meeting of the American Society of Parasitologists in Omaha, NE.

    Keywords: ParasitologyAmerican Society for Parasitologists

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    Social Distancing Simulation in NetLogo
    A NetLogo simulation that shows the effects of social distancing on the spread of infectious disease.
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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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    Moths and Frogs and E. coli, Oh My!: Agent-based Modeling of Evolutionary Systems
    In evolution classrooms, introducing and reinforcing the idea of genetic drift and random selection can be challenging, as can be reinforcing appropriate mental models of evolution. Agent-based...

    Keywords: modelingEvolutionecologyagent-based modelingGenetic Driftenvironmental scienceNatural Selectioncompetitive coevolutionsimulation modelingevolutionary reasoning

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    Healing the scars: Tropical rainforest carbon cycling. Does it matter which tree species you plant?
    This online module explores how differences in traits of tropical tree species translate into differential effects on the carbon cycle, integrating ecological information across scales and the...

    Keywords: climate changecarbon cyclingtropical biology4DEE Frameworkforest restorationtropical tree speciessoil carbon

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    Modeling Strep Throat Detection, Infection, and Spread Using an SIR Model and the Vensim Simulation Software
    The overarching goal of this lesson is to provide students with an opportunity to gain experience making and using biological models. Biological modeling can be used to investigate complex,...

    Keywords: infectious diseasebiological modelingSIR model

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    Teaching the Photoelectric Effect Using an Open-Source Interactive Simulation
    The photoelectric effect is one of the fundamental experiments that established the basis of quantum mechanics. Students studying this experiment in modern physics courses struggle to understand...

    Keywords: photoelectric effectquantum mechanicsquantalight-matter interactions

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    High technology to measure forest carbon stocks: How can advanced remote sensing improve biomass quantification in the Brazilian Amazon?
    A case study on the estimation of aboveground biomass using advanced remote sensors (LiDAR and hyperspectral) in the Brazilian Amazon. Students explore remote sensing (RS) data and compare RS-based...

    Keywords: climate changeremote sensinghyperspectraltropical forestsLiDAR data analysiscarbon stocks

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    2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
    The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data...

    Keywords: physiologyinverse problem

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    1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
    The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.

    Keywords: simulationguerilla warfarewarfarecombat

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