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    2004-Jones-Song-Thomas-Controlling wound healing through debridement
    In this article, a system of differential equations that models slough/wound interaction is developed.

    Keywords: bacteriawound healinghealingderidingisocline

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    6-040-StruggleForExistence-ModelingScenario
    We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters

    Keywords: competitionlogisticcarrying capacityparamecium

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    2003-Richard-Carson-Tracer kinetic modeling in PET
    The use of radiopharmaceuticals and the imaging of their biodistribution and kinetics with modern instrumentation are key components to successful developments in PET.

    Keywords: Metabolismtomographyradiopharmaceuticalspositron emission

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    1-044-CollegeBound-ModelingScenario
    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.

    Keywords: interest ratecollege savingtuitionroom and board

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    Functional trait-based restoration. Can hybrid restoration enhance invasion resistance and ecosystem services?
    A hybrid restoration experiment in Hilo, Hawaiʻi, in an area of high biocultural conservation value, that address the ecological and philosophical issues involved in conducting restoration with a...

    Keywords: Invasive SpeciesagroforestryHawaii CountyRestoration Ecologyplant functional traitstropical forest

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    Half Life of mRNA
    This module introduces exponential growth and decay in the context of understanding the stability of mRNA. It is intended for an introductory biology audience.

    Keywords: exponential equationsGenetic Informationlogarithmic equationshalf-lifemRNA

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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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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    The importance of citizen science in researching snow with Dr. David Hill
    David Hill is a professor at Oregon State University and a National Geographic Explorer. He discusses with us why citizen science is important and how he incorporates it into his own research.

    Keywords: citizen science

    405

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    It's a Substrate... It's a Protein...No - It's an Enzyme! Teaching Using 3D Serine Protease Physical Modeling Activities to Confront Misconceptions.
    Reported misconceptions of enzyme-substrate interactions highlight the necessity for better, targeted instructional tools and assessments. A series of active learning activities with corresponding...

    Keywords: Protein StructureEnzymes-Substrate InteractionsNoncovalent InteractionsGeometric ComplementaryElectronicsStereochemistrySerine Proteases

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    Data, Distributions, and Hypotheses: Exploring Diversity and Disturbance in the Tallgrass Prairie
    Proper hypothesis generation, data handling, graphing, and communication are essential skills that undergraduate majors in biology are expected to master. However, students rarely get hands-on...

    Keywords: Quantitative reasoningRestoration EcologyScience process skillstall grass prairie ecosystem

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    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...

    Keywords: Probabilitypopulation dynamicsVarianceMeanstochasticdeterministic

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    1-080-DrugAdministration-ModelingScenario
    A simple drug administration situation is modeled with only two observations.

    Keywords: decaybloodstreamdrugrate constantadminister

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    How Many Salamanders are in the forest? Testing capture-recapture
    Collecting data on how populations respond to environmental change requires accurate estimates of population sizes. This activity explores one method for estimating population sizes across three...

    Keywords: salamanderCapture mark-recaptureAudience level - Introductory UG - majorsAudience level - Introductory UG - non-majors

    2016

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    2007-Hui_Luo-Population Modeling by Differential Equations
    A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.

    Keywords: population dynamicsextinctionlogisticTibetan antelope

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    2011-Carl_Leinbach-Beyond_Newton_law_of_cooling_estimation_of_time_since_death
    The estimate of the time since death. Thus, the time of death is strictly that, an estimate. However, the time of death can be an important piece of information in some coroner’s cases, especially...

    Keywords: Newton's Law of Coolingtime of deathdouble exponentialcoroner

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    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

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    Hawk vs. Dove Game
    Hawk vs. Dove Game is a model of conflict for two players in game theory.

    Keywords: mathematical modelcomputational modelagent-based model

    970

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    2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
    In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.

    Keywords: population dynamicsLogistic modelMalthus ModelPopulation Prediction Control

    180

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    Fitzhugh-Nagumo Model
    The FitzHugh–Nagumo model describes a prototype of an excitable system (e.g., a neuron).

    Keywords: differential equationsmathematical modeldifferential equation modelordinary differential equation modelneuroscienceexcitable

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