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    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The

    Keywords: glucose tolerance testsum of squared residualsmultiple shooting methodcost function

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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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    The Mathematics of Voting Systems: Plurality, Runoff and Ranked Choice
    In this five-day interdisciplinary math and social studies unit, students use math to create informed opinions about the three most common voting systems in the United States: plurality, runoff and...

    Keywords: mathematicsInterdisciplinary STEMInterdisciplinary Mathematics Educationinterdisciplinary math educationvoting

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    Breaking It Down: What Factors Control Microbial Decomposition Rates?
    Demonstrating and modeling changes in ecosystem processes in the laboratory classroom can be logistically difficult and expensive. This complexity often leaves little time for students to generate...

    Keywords: data analysishypothesis testingdata visualizationdata managementMicrobial RespirationDecompostionAbiotic ConditionsResults Communication

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    Small Organisms with Big Consequences: Understanding the Microbial World Around Us
    Creating a hands-on lab that conveys important information while simultaneously allowing for student autonomy can be difficult. This is particularly true for the field of microbiology, in which...

    Keywords: disease transmissionmicrobiologymicrobiomeliterature reviewPeer reviewPathogensHealth and WellnessThe Scientific Method

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    Expanding the Reach of Crop Plants for Food Security: A Lesson Integrating Non-Majors Students Into the Discussion of Food Diversity and Human Nutrition
    University general education (GE) courses host students with various academic backgrounds, interests, and perspectives. Engaging students in GE classes with agricultural issues can be challenging...

    Keywords: cereal graincrop diversitycrop yieldglobal food systemhuman nutritionnutrient qualitypseudocereal grainstaple cropunderutilized crop

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    2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
    We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend...

    Keywords: propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area

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    Exploring Interdisciplinary Professional Development Opportunities through the Quantitative Biology at Community Colleges QB@CC Project
    The Quantitative Biology at Community Colleges (QB@CC) project provides a platform for open education resource (OER) development. Biology and mathematics faculty collaborate, create, and publish...

    Keywords: mathematicsprofessional developmentbiologycommunity collegesinterdisciplinaryOERcollaborationopen educational resourceqbcc

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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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    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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    Functional and structural analysis of Amylase activity
    This exercise was developed to allow students to apply the scientific method and use their knowledge of enzymes to investigate the relationship between enzyme activity and structure. Students...
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    Math Skills in Biology Education: A Principles Focused Evaluation (PF-E) of Community College Faculty Needs
    Poster on math skill instruction in community colleges presented at the 2019 BioQUEST & QUBES Summer Workshop

    Keywords: mathcommunity colleges2019 QUBES/BioQUEST Summer Workshop

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    What the Mendel
    Students practice hypothesis testing using Mendelian genetics for monohybrid and dihybrid crosses. Both corn and Wisconsin Fast Plants are employed.

    Keywords: geneticsplantsmendelian inheritancephenotypecotelydoncornWisconsin fast plants

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    6-068-VisualizingPredator-PreyCycles
    In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

    Keywords: nullclinespredator-preyGeometrypredatorRunge-Kuttapreylimit cycle

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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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    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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    2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
    This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS Excel© workbook.

    Keywords: ExcelSpreadsheet

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
    Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.

    Keywords: falling bodydimensional analysisdrag

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    2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.

    Keywords: simulationparameter estimationshoppingfittingbehaviour

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