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    Coronavirus Epidemic Curves - Graphically Interpreting Derivatives
    A set of exam questions or class activity related to 'flatten the curve' during the coronavirus outbreak of 2020. Content includes: notation, first derivative, second derivative, and interpreting...

    Keywords: derivativescalculussecond derivativefirst derivativeInterpreting GraphsCOVID19coronavirus

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    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...

    Keywords: diseaselogisticHIVpiecewise constantIndia

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    BSL-4: Authorized Personnel Only
    National Center for Case Study Teaching in Science resource on the 2014 Ebola epidemic. This resource is also included in the NIBLSE Learning Resource Collection

    Keywords: infectious diseaseexperimental designbioinformaticsEbolaNIBLSECase It!PCRBLASTmultiple sequence alignmentPublished in National Center for Case Study Teaching in Sciencepolymerase chain reactionfebrile illnessvirusELISAenzyme linked immunosorbent assayfilovirusAfrica

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    6-004-VillageEpidemic-ModelingScenario
    Students are offered data from a plague epidemic that occurred in the middle of the seventeenth century in Eyam, a small English village. With only two assumptions offered to students they...

    Keywords: SIR modelsepidemicsusceptibleinfectiveremovedEyamEnglish village

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    COVID-19 educational module | Department of Mathematics
    This resource is a module you can use to teach your students the basics of epidemic behavior using a model geared specifically to Covid-19. Students can address key questions using pre-designed...
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    Opioid crisis: exploring the neurophysiology of opioid receptor signaling
    Using this dataset, we explore how opioids affect the electrical activity of neurons when exposed to different opioid receptor agonists and antagonists.

    Keywords: opioid epidemic

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    2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
    We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention...

    Keywords: reproductive numberGamblingepidemicsensitivity indexyouth gambling

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    2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
    We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the...

    Keywords: stabilityresistancevirusdrugepidemic competitionimmune responserhinovirus

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    1992-Emelie_Kenney-Differential_equations_and_the_AIDS_epidemic
    This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative...

    Keywords: datafirst orderparameterAIDS

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    2001-Smith-Moore-The SIR Model for Spread of Disease
    A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.

    Keywords: epidemicSIR modelEuler's methodherd immunityHong Kong flu

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    1-104-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.

    Keywords: infectionlogisticexponentialcovidcarrying capacity

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    6-010-SocialCampaign-ModelingScenario
    The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.

    Keywords: diseasegrowth rateJudgment and Decision MakingSIR modelinfections diseasesocial campaignrecovery ratedelay timejoining processquitting processexponential distribution

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    6-016-PandemicModeling-ModelingScenario
    The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?

    Keywords: population dynamicsinfectious diseasediseaseEbolaeSIR modelsCOVID19pandemicepidemicreproduction number

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    6-018-ExploringSIRModel-ModelingScenario
    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...

    Keywords: population dynamicssensitivitydiseaseSIR modelsepidemicrumors

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    Targeting Infected Cells for Immune Defense
    This animation shows how a cell infected by a virus signals cytotoxic T cells to destroy itself.

    Keywords: Resources @ HHMI - BioInteractiveimmune systemAnatomy & PhysiologyCell communication

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    2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
    We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.

    Keywords: vaccinationinfectionSIRepidemic

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    5-026-Evictions-ModelingScenario
    In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the...

    Keywords: carrying capacitycompartmentevictionhomeownerSIS modelhomelessness

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    2016-Lofgren-EtAl-Equations of the End Teaching Mathematical Modeling Using the Zombie Apocalypse
    In this article, we explore several uses of zombie epidemics to make mathematical modeling and infectious disease epidemiology more accessible to public health professionals, students, and the...

    Keywords: simulationinfectious diseasediseaseepidemicZombieWhite Zed

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    1975-DH_Griffel-Teaching the formation and solution of differential equations
    This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.

    Keywords: parasitesTopographypopulationepidemictraffic flowsocial interactionsfish weightarms race

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    2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations
    The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.

    Keywords: differential equationsbiologytextbook

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