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    7-008-MachineReplacement-ModelingScenario
    Students build an integro-differential equation model using a convolution for machine replacement strategies for two different machine failure models.

    Keywords: Probabilityreplacement numberLaplace transformindustrial engineeringmachineconvolutiondistributiojstep functionderivative definition

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    Making Predictions with Linear Models: A Murder Mystery Case Study
    This Swirl lesson will introduce two main concepts to students: 1) the idea of uncertainty around linear slopes versus individual values and 2) predicting values using linear models.

    Keywords: data visualizationlinear modelscase study teachinguncertaintypredictionConfidence intervals

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    When did I lose my legs? A limbless lizard tale
    Using oVERT project models students examine examples of extant traditional lizards, snakes and limbless lizards and create phylogenies based on trait and genetic data.

    Keywords: phylogeneticsevolutionary biologyHerpetologynatural history collections3D models#NGSSdigitized natural history collectionsoVertConvergent Evolution

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    Climate Change
    This video describes the basic science of climate change. How do we know about climate in the past? What are humans interfering with? How can we make predictions about what will happen in the future?

    Keywords: videosclimate changeScience Forward

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    Circle Train Problem TCM 2018_Hernandez.pdf - Google Drive
    In this math modeling lesson, students build mathematical models for the horizontal and vertical position of a train moving along a circular track. The math topics includes transformations of...

    Keywords: mathematical modelTrigonometryPrecalculusdata collectionLoggerProtransformation of functionsparametric equations

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    Enzyme Kinetics: How Quickly Can Acetylcholinesterase Break Up Your Thoughts?
    This module contains exercises designed to help upper-level cell biology students understand the common graphical methods used to evaluate enzyme activity and to see the impact of inhibitors on...

    Keywords: cell biologyQuantitative reasoninginterdisciplinarylinear modelsInterpreting GraphsNIQBC2. Data and GraphsC4. mathematical modelsnonlinear models

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    2017-Fred_Adler-Mathematically Modeling Asthma
    Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma

    Keywords: infectionasthmaimmune responserhinovirus

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    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.

    Keywords: experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates

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    2010-Kijek-Kijek-Modelling of Innovation Diffusion
    This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    2001-Cheng-Teaching mathematical modelling in Singapore schools
    The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.

    Keywords: teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore

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    2001-A_Tsoularis-Analysis_of_logistic_growth_models
    The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.

    Keywords: logisticpopulationgrowth curvelimited growthGompertzhistorylogistic equationVerhulstPearl and ReedBertalanffyRichards

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    1-100-EngineeringDemographics-ModelingScenario
    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of...

    Keywords: logisticpopulationImproved Euler MethodGompertzdemographicswomenautonomous

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    A Potential Novel Ecosystem Service: Seagrass Meadows Reduce Disease in Nearby Corals
    In this lesson, students will receive an introduction to Poisson Generalized Linear Mixed Models in R utilizing data on coral diseases. In their code, students will assess if seagrass status has an...

    Keywords: environmental scienceseagrassecosystemcoral reefsEcosystem Services

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    3-070-FallingInWater-ModelingScenario
    We model a small canister with ballast to keep it vertical as it falls through water in a graduated cylinder filled with water. We suggest several models in terms of resistance due to the media and...

    Keywords: datawaterresistancefallingbuoyancymass

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    How to Design a Classroom Activity that Integrates 3D Print Models with Active Learning
    Student exploration of relevant physical models can deepen knowledge of course material. In this guide we describe a method by which instructors can integrate 3D printing technology with an...

    Keywords: active learning3D print modelsclassroom jigsaw

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    Towards better modelling and decision support: Documenting model development, testing, and analysis using TRACE
    We introduce TRACE, a framework for documenting model testing and analysis. TRACE is based on the recently proposed framework of model "evaluation" , and is designed to make models fit for...

    Keywords: standardizationgood modelling practicerisk assessmentdecision supportTRACEResources @ QUBES - Teaching & Reference

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    Cutthroat trout in Colorado: A case study connecting evolution and conservation
    Evaluation of evidence is a key process skill for the core competencies of applying the process of science and using quantitative reasoning. This case study enables upper-division biology students...

    Keywords: population geneticsphylogeneticsSpeciationdivergencegene flow

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    Spreading seeds: How can a better understanding of seed dispersal improve tropical forest restoration?
    Learn about seed dispersal by animals and how this ecological process can be harnessed to facilitate forest recovery through a forest restoration experiment in Costa Rica. Apply what you learn to a...

    Keywords: conservationRestorationtropical forestsbiodiversity lossSeed dispersal

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    Exploring the Ecology of Gorongosa
    Students learn about bottleneck events, population demographics and growth, ecological niches and competition, food chains/webs and ecological disturbances through past and current data on...

    Keywords: Community Ecologypopulation ecology

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