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    1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
    Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward...

    Keywords: cooperationharvestingRomeo and Julietlovecannibalismovercrowding

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    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological...

    Keywords: protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular

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    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without...

    Keywords: delayHIV-1T cellscombination antiviral therapy

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    2019-Radulescu-Lundgren-A_pharmacokinetic_model_of_lead_absorption_and_calcium_competitive_dynamics
    We build and analyze a compartmental model of lead pharmacokinetics, focused specifically on addressing neurotoxicity.

    Keywords: QUBES Leadership Teamparametersabsorptionbifurcationpharmacokineticscalciumcognitive decline

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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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    3-103-PullBackCars-ModelingScenario
    This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and...

    Keywords: modelingdynamicshands-ontoypull-back carpullback

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    1-038-Ebola-ModelingScenario
    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...

    Keywords: population dynamicsdata analysisexponential growthEbolalogisticepidemic

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    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

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    1-119-DairyFarming-ModelingScenario
    A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This...

    Keywords: population dynamicsdairyfarmers' marketsgrowthcow

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    1-150-CancerTherapy-ModelingScenario
    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...

    Keywords: population dynamicsphage therapyexponential growthcancerwater treatmentdecaysurgery

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    1-190-IntroClass-ModelingScenario
    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...

    Keywords: population dynamicspredator-preylogisticexponentialgraphical interpretationsqualitative analysis

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    An introduction to population matrix models: a swirl lesson
    Students will learn how to set up a population matrix model in R and use it for demographic analysis of a population, including projecting population growth, determining lambda and the stable age...

    Keywords: population dynamicsRpopulation growthonlinedemographypopulation projection modelquantitative biologypopulation modelmatrix modelspopulation ecologyage structurepopulation biologypopulation modelingSwirlDemographic processespopulationLeslie matrix

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    Sting, Carry and Stock: How Corpse Availability Can Regulate De-Centralized Task Allocation in a Ponerine Ant Colony
    Model showing that organization of work through a common stomach system can allow Ectatomma ruidum to collectively forage for food in a robust, reactive and reliable way

    Keywords: differential equationsmodelinginsect colonysystems theory

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    A Pipeline in Paradise, Part 1: Learning the Relevant Science
    This case requires students to integrate information across the following five “knowledge domains” to develop a baseline understanding of the problem.

    Keywords: case studysocio-environmental data

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    The Insect Predation Game
    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4 The main learning objective of this module was to tie together what students had learned during the...

    Keywords: simulationpredator-preypredation ecology

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    Exploring the population dynamics of wintering bald eagles through long-term data
    Exploring long-term population data through graphical and statistical means Practice module included in Teaching Issues and Experiments in Ecology (TIEE) Volume 7

    Keywords: Resources @ ESA - TIEEcase studypopulation ecologyendangered speciesconservation biologymigration ecology

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    SOAR - San Francisco Bay Research Coordination Network for Student Opportunities in Avian Research to enhance STEM education and assess human impacts on avian biodiversity (RCN-UBE Introduction)
    The San Francisco Bay Research Coordination Network for Student Opportunities in Avian Research (SOAR) brings together faculty, students, and volunteers to implement an experiential learning and...

    Keywords: RCN-UBE Introduction

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    2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
    This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.

    Keywords: epidemiologysimulationinfectious diseasedisease transmissiondiseasein-class activitybean bag activity

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    2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
    I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can...

    Keywords: biologytextbooksystemsdyanmical system

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    Data Management Adaptation: Correlating Forest Community Dynamics to Climate
    Students use vegetation structure data from the National Ecological Observatory Network to understand necessary steps of data management from data collection to data analysis by correlating...

    Keywords: forest ecologydata managementspreadsheetsCommunity DynamicsNEONDIGNational Ecological Observatory Networkbiomass

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