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    2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
    This article describes an equation of motion for a waggling pendulum.

    Keywords: resonanceinverted pendulummechanicsdamped pendulum

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    2014-Murillo-EtAl-Vertical Transmission in a Two-Strain Model of Dengue Fever
    The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.

    Keywords: Peruvector-host modeldengueepidemmiologyvertical transmission

    98

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    47

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    2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
    In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of...

    Keywords: dynamical systemsretirement modelSocial Security

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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

    676

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    2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
    In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.

    Keywords: vaccinationcompartmentherd immunitymeaslesoptimal strategy

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    2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
    Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.

    Keywords: bacteriaagent-basedpopulationbrod-shapedcellular growth

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.

    Keywords: population dynamicslogisticInquiry-based modelingIBL

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    Food Chain Dynamics In A Simple Ecosystem
    In this lab, students will work with a simple algae/brine shrimp environment to learn about food chains and population dynamics.

    Keywords: ecologyecosystemsfood chainalgae

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    Food Chain Dynamics In A Simple Ecosystem
    In this lab, students will construct simple experiments with algae and brine shrimp to learn about food chains and population dynamics.

    Keywords: ecologyecosystemsfood chainalgaebrine shrimp

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    Food Chain Dynamics In A Simple Ecosystem
    In this lab, students will work with a simple algae/brine shrimp environment to learn about food chains and population dynamics.

    Keywords: ecologyecosystemsfood chain

    1998

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    951

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    Investigating the ecological value of migratory fishes on stream ecosystems in southern Appalachia
    Using the Ecological Society of America’s Four-Dimensional Ecology Education (4DEE) framework, students apply ecological concepts such as energy flow, nutrient cycling, migration, and climate...

    Keywords: Stream ecologynutrient cycling4DEE Frameworkfish migration

    99

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    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.

    Keywords: microbiologyLotka Volterrramicrobiota

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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

    130

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    Vaccine Development and Testing
    Scientists have the tools and knowledge to develop safe, effective vaccines, from trials to vials. This resource addresses the process by which vaccines are designed, tested and regulated. Key...

    Keywords: immunology educationvaccine literacyvaccine hesitancy

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    "Vaccines.. Where do they come from? And how do they work? By Dane Samilo
    Dane Samilo, a Science and Technology Policy Fellow at the Department of Defense joined us to talk about an extremely relevant topic for all to understand. That is vaccines. He walked us through...

    Keywords: BiotechnologyVaccines

    386

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    Connecting Viral Pandemics to Ecological Population Growth Models
    In this activity students use the HHMI Population Growth Models interactive to explore R0 for diseases and discuss the importance of connecting population ecology to current events like the...
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    Cell Division and the Presence of a Growth Factor
    This module introduces exponential growth, the Michaelis-Menten, and Lineweaver-Burk equations in the context of understanding how growth factors influence cell division. It is intended for an...

    Keywords: exponential equationshyperbolic equationsCell StructureCell Growthgrowth factor

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    5-024-PhGreatLakes
    In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    2009-Brian_Winkel-Population_modelling_with_MandMs
    Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.

    Keywords: simulationparameter estimationimmigrationdeathdifference equation

    172

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    1-120-CircularRollerCoaster-ModelingScenario
    Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction....

    Keywords: population dynamicsenergyFluid Mechanicsmfrictionroller coasterintegration by8 parts

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