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    2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
    The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and...

    Keywords: anesthesiapharmacokineticspharmacodynamicanesthetic

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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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    2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
    Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.

    Keywords: cancertumor modelingangiogenesistumor growthpatient care

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    2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
    In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.

    Keywords: delayepilepsy dynamicsepilepsybistabilityseizure activity

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    2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
    We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.

    Keywords: population dynamicsLotka-Volterragrowth ratemutualismLichen

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    1-137-SheepGraze-ModelingScenario
    In this activity, students will apply graphical analysis (such as phase lines) to determine the long-term predictions of a differential equation model for pasture grass using two different formulas...

    Keywords: herbivoreplantphase linesbifurcationoverexploitationsheepgraze

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    Is bigger always better? An investigation on the effect of drought on different sizes of trees
    This data set was compiled from worldwide data to examine the effects of drought on trees. Included in the dataset are measurements of growth and mortality as they relate to the size category of...

    Keywords: statisticsforest ecologydata analysisclimate changeANOVAGraphing Functionsforest health

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    Climate Change, Phenology, and Community Interactions: Helping students explore the complexity of changing ecosystems
    Students explore findings from long-term studies of migrating and hibernating animals at high elevation. Students then use this understanding to explore the phenology of species and possible...

    Keywords: species interactionsclimate changefmnphenologyDIGenvironmental variationtrophic mismatch

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    ModelSim Population Biology Unit
    This resource provides rich student modeling activities and materials, teacher resources, and much more, in the realm of agent based models applied to population biology.

    Keywords: modelingsimulationmoduleEvolutioncase studycurriculumagent-based modelpopulation modeldemonstrationin-class activityPresentation

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    Revealing Hidden Figures in Natural History Collections Working Group 2023 Update!
    Our 2023 BIOME Lightning Presentation sharing updates from the Hidden Figures Working Group including the first two published modules!

    Keywords: social justicenatural history collectionshidden figuresbiome23biome2023

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    2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
    We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school

    Keywords: moduleepidemicboarding schoolTeaching Module

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    1988-Steven_Strogatz-Love Affairs and Differential Equations.
    This is a system of differential equations to describe the love between Shakespeare’s Romeo and Juliet.

    Keywords: Romeo and Julietlove

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    Assessing Socioeconomic Trends in Tree Cover and Human Health in Urban Environments
    In this exercise, students use a combination of publicly available data and tree cover data that they generate using iTree Canopy to test whether tree cover is equitably distributed within the city...

    Keywords: social justiceSimple Linear Regressionenvironmental justiceGeographic Information System (GIS)Using ExcelConnection to PlaceredliningEcosystem Servicesurban tree coverurban environments

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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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    Trinity-Marshall Island case
    Trinity Washington University-Discovering Planet Earth (ENVS 101- An introductory science course designed for non-science majors, study "Marshall Island" case. Students are split into four groups...

    Keywords: case studyclimate changemarshall island

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    Debating Conservation: Developing Critical Thinking Skills in Introductory Biology Classes
    Role-playing activities in the classroom promote students’ critical thinking, research, and communication skills. We present an activity where students debate a current controversy in...

    Keywords: Restorationtrophic cascadeecosystem function

    1989

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    1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
    The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.

    Keywords: differential equationsdynamical systemsFirst order linearintragenerational mobilitypolitical mobilizationmobility

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    For a Racially-Just, Inclusive, Open, STEM education: The RIOS Institute imagines an Open Education as the radical idea that education should be affordable, accessible, equitable, inclusive, and relevant to everyone
    As we engage in Open STEM Education, “Open for Whom?” becomes an increasingly urgent question. Why should we invest in an education that is free, if it does not attend to the inclusion of...

    Keywords: social justiceriosNABT 2022

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    1-023-RumorSpread-ModelingScenario
    We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation.

    Keywords: Internetlogisticspreadrumors

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    6-009-FakeNews-ModelingScenario
    In modern society, creating and disseminating information is easier than ever. In this project, you will model the spread of fake news and investigate ways to deter distributing misinformation.

    Keywords: sensitivity analysisSIR modelsSIS modelfake news

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