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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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    2007-Ramsay-Hooker-Campbell-Cao-Parameter estimation for differential equations-a generalized smoothing approach
    We propose a new method for estimating parameters in models that are defined by a system of non-linear differential equations.

    Keywords: estimating equationfunctional data analysisGauss–Newton methodparameter cascadeprofiled estimationdynamic system

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    A CURE-based approach to teaching genomics using mitochondrial genomes
    There is an abundance (currently over 1016 DNA bases) of publicly available genetic sequence data and a dearth of trained genomicists to process and interpret it, necessitating more trained...

    Keywords: proteinsMitochondrial GenomesNuclear GenomesrRNAtRNA

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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    Using Case Studies to Engage Students in Wicked Problems
    Interactive presentation on using case studies at the 2018 QUBES/BioQUEST Summer Workshop

    Keywords: case studiesSummer Workshop 2018wicked problems

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    6-002-EulerCromerPendulum-ModelingScenario
    This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method...

    Keywords: pendulumsemi-implicit methodsEuler-Cromernumerical solvers

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    2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
    Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool...

    Keywords: diseaseoptimal controlTICKtick modeehrlichiosisbang bang control

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    2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
    We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.

    Keywords: kineticsEnzymesubstratenondimensionalizationmultiple timescales

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    Calculating and Comparing Biodiversity Materials Across Sites Using NEON Herbaceous Vegetation Data - a Tutorial
    These materials are intended for use at the undergraduate level. They employ R and Excel software.
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    BioVEDA Curriculum: An Approach to Link Conceptual and Quantitative Understanding of Variation During Experimental Design and Data Analysis
    When performing a biological investigation, experts constantly cycle between conceptual and quantitative modes of thinking, integrating their understanding in both worlds to make decisions about...

    Keywords: statisticssample sizeBiological variation

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    Avida-ED
    Avida-ED is an award-winning educational application developed at Michigan State University for undergraduate biology courses to help students learn about evolution and scientific method.

    Keywords: simulationEvolutionbiologyscientific methodResources @ QUBES - Softwaredigitalhypotheses

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    How the Scientific Method Works
    An episode dedicated to learning about how we explore our world using the scientific method.

    Keywords: scientific methodstuff you should knowResources @ QUBES - Teaching & Referencescienceepisodeexplore

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    How Many Squirrels Are in the Shrubs? A Lesson Plan for Comparing Methods for Population Estimation
    Estimating the population sizes of animals is a key skill for any student interested in ecology, conservation, or management. However, counting animals in natural habitats is difficult, and the...

    Keywords: population ecologywildlife managementpopulation estimationsciuridaeSquirrel-Net

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    2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
    A simple method for estimation of parameters in first order systems with time delays is presented in this paper.

    Keywords: delaytime delystep response

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    2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
    The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.

    Keywords: differential equationsmodelingtextbook

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    Measuring streamflow using the float method
    Streamflow, the amount of water flowing in a creek, stream, or river at a certain point in time, is critical to people and the environment. Knowing the amount of flowing water is important for...

    Keywords: River Field Studies Networkstreamflowstreamflow measurements

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    1-095-RatingChessPlayers-ModelingScenarios
    The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario.

    Keywords: simulationchessElo's methodchess rating

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    2012-Campbell-EtAl-Parameter estimation in differential equation models with constrained states
    We introduce a method to estimate parameters and states from a differential equation model while enforcing interpretability constraints such as monotone or non‐negative states.

    Keywords: chemical engineeringsmoothing-based relaxation method

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    2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
    We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier...

    Keywords: frequencyresonancecoupled oscillator

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    1-003-IntroNumericalMethods-TechniqueNarrative
    We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions...

    Keywords: analytic solutionEuler's methodimproved Euler's method

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