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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

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    1-054-GrowthInFarmland-ModelingScenario
    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model,...

    Keywords: fittingfarmfarmland

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    3-072-EarthQuakePartI-ModelingScenario
    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.

    Keywords: earthquakevibrationamplituderesonanceundampedspring-mass system

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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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    1-018-LogisticPopModel-ModelingScenario
    We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining...

    Keywords: data analysisparameter estimationlogisticCiliate protozoapopulationlimited growthparameciaGause

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    Cell Collective: Learning biology with modeling and simulations
    Cell Collective is an online, research-grade modeling platform adapted to engage students in creating and simulating dynamic models of biological processes.

    Keywords: modelingsimulationSimulationsCell Collective

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    Neighborhood Fences and Gates
    This classroom modeling project targets the competency of proposing functions that meet certain properties and features, which is part of many modeling processes. It is suitable for high school or...

    Keywords: function fittingcultural context

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    A Kinesthetic Modeling Activity to Teach PCR Fundamentals
    Most molecular biology and biological sciences students understand that the polymerase chain reaction (PCR) is used to amplify DNA. However, we have found that some students experience conceptual...

    Keywords: PCR

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    The ACTN3 Polymorphism: Applications in Genetics and Physiology Teaching Laboratories
    Inquiry-based undergraduate laboratories provide the opportunity to engage students in a research experience that improves scientific thinking, but such activities can be difficult to develop and...

    Keywords: protein structure and functionhuman genetic variationmuscle physiology

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    Population Ecology of the Northern Spotted Owl
    The mathematical modeling of populations utilizing field-collected demographic data is an important component of lab curricula in a variety of undergraduate biology lab courses. During the global...

    Keywords: demographyCommunity Ecologypopulation ecologyconservation biologylife tables

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    2018-Vajravelu-Teaching Large DE Classes
    Practical problem solving in science and engineering programs require proficiency in mathematics. Improving student performance and retention in mathematics classes requires inventive approaches.

    Keywords: differential equationsLarge classlarge classroom

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    Case Study — World records as measures of senescence or randomness
    This is a project meant to accompany the Case Study that Carl Bergstrom, which uses R to explore whether declining track and field world record performance could be an artifact of sample size (less...

    Keywords: RRStudioprogrammingsampling distributionProbability & Statisticsrandomnesscontinuous probability distribution

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    Module M.7 Generalized linear mixed-effects models
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology students on data management and statistical analysis...

    Keywords: R programming languageprimatespopulation ecology

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    2017-Lia_Vas-Modeling With Differential Equations
    This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are offered.

    Keywords: thresholdsfalling objectgrowthtank mixing

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    2012-Gilbert_Koch-Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis
    In this work we develop preclinical PKPD models based on fundamental biological and pharmacological principles. Equipped with a PKPD model, different dosing schedules could be simulated.

    Keywords: cancerpharmacodynamicsPKPD modelarthritisPharmacokineticanticancer

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    1-001-SepartionOfVariables-TechniqueNarrative
    We discuss strategies to solve first order, ordinary differential equations with mathematical models when the variables may be separated.

    Keywords: solutionsstrategymethodapplications

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    Cell Collective: Computational Modeling and Simulation Designed with the Classroom in Mind
    This working group collaborated on content and pedagogy surrounding the use of Cell Collective to integrate computational modeling and simulation into undergraduate biology curriculum.
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    COVID-19 Simulator (ISEE) Module
    This accessible module guides students through exploring the COVID-19 Simulator developed by ISEE. Students dig into the four scenarios provided (including the parameters and the graphs),...

    Keywords: mathematical modelingSTELLAInfectious Disease ModelingInterpreting Graphsinterpreting modelsCOVID19coronavirus

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    Training In-Service Teachers to Think Deeply About Modeling in the Common Core Movement
    Presentation given at the 2106 SIAM Conference on Applied Mathematics Education on graph theory.

    Keywords: modelingcommon core

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    2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
    It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.

    Keywords: feedbackAccelerometersfunctional differential equationssemi-discretizationD-subdivision method

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