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    2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
    In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.

    Keywords: population dynamicsLogistic modelMalthus ModelPopulation Prediction Control

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    Fly Exercise: A Simple Experiment to Test the Physiological Effects of Exercise on a Model Organism
    Model organisms are commonly used to study and experimentally explore biological processes in ways that are technically or ethically not possible in humans. For this reason, model organisms are an...

    Keywords: exerciseenzyme kineticsmetabolite concentrationmodel speciesphysical activity

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    Linear Regression (Excel) and Cellular Respiration for Biology, Chemistry and Mathematics
    Students typically find linear regression analysis of data sets in a biology classroom challenging. These activities could be used in a Biology, Chemistry, Mathematics, or Statistics course. The...

    Keywords: statisticsmathematicsdata analysisdatalinear regressionbiologyonlinegraphinglinear equationsQuantitative reasoningassessmentcollege algebracellstatistical analysisregressionOERAlgebrachemistryModelscorrelationSimple Linear RegressionMicrosoft Excellab activityexperimentCellular ProcessesATPqbccUsing Excelmanipulate equationsCellular and Molecular BiologyConcepts in Statisticsoxidationline of best fitexplaining statisticsusing statisticsCellular RespirationPredictionsRespirationgraphing in ExcelLinear CorrelationExothermic Reactioncreate scatter plotAdenosine Triphosphate (ATP)germinating peasPre-lab activityStudent activityHybridCollecting DataR-squareRegression ModelFunctionDependent VariablesIndependent VariablesLinear EquationLinear Equation in two variablescreate graphcreate equationcreate regressioncreate plotinterpret regressioninterpret data

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    Faculty Mentoring Networks: A model for professional development in undergraduate quantitative biology education
    Presentation given at ESA 2016 on Faculty Mentoring Networks.

    Keywords: faculty mentoring networksEcological Society of Americaquantitative biology education

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    Fitzhugh-Nagumo Model
    The FitzHugh–Nagumo model describes a prototype of an excitable system (e.g., a neuron).

    Keywords: differential equationsmathematical modeldifferential equation modelordinary differential equation modelneuroscienceexcitable

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    Type II Functional Response: Holling’s Disk Equation
    This module introduces the Holling’s disk equation in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an introductory...

    Keywords: ecologyHolling's Disk Equation

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    A simple way for students to visualize cellular respiration: adapting the board game MousetrapTM to model complexity
    Lecture-based introductory biology courses are typically content-heavy as instructors strive to provide students with foundational knowledge in a broad range of topics.  One topic...

    Keywords: ATPGlycolysisCellular RespirationElectron Transport ChainKrebs Cycle

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    Marriage Model (with errors)
    Marriage age model for use with NetLogo and ABM material

    Keywords: computational modelagent-based modelsocial networksmarriageChapter 6Chapter 6.5

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    2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay 
    Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time...

    Keywords: virusT cellsHopf bifurcationendemic equilibrium

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    Using Place-Based Economically Relevant Organisms to Improve Student Understanding of the Roles of Carbon Dioxide, Sunlight, and Nutrients in Photosynthetic Organisms
    Biology students require broad preparation for diverse careers including agriculture, natural resource management, and laboratory research. Concurrent with this need, employers are seeking...

    Keywords: energyphotosynthesisbiomass

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    Antibody Binding
    This module introduces the Scatchard equation in the context of understanding antigen binding and the properties of antigens. It is intended for an introductory biology audience.

    Keywords: linear equationshyperbolic equationsCellular Processes

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    Investigating Enzyme Structure and Function Through Model-Building and Peer Teaching in an Introductory Biology Course
    A foundational knowledge of the relationship between structure and function is critical to understanding how enzymes work. The seemingly invisible nature of these molecular interactions makes it...

    Keywords: structure-functionEnzymeallosteric regulationcompetitive inhibitionfeedback inhibitionnoncompetitive inhibitionproductsubstrate

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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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    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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    Wolf Sheep Predation Simulation Exercise
    This resource is an exercise to introduce students to agent-based modeling of biological systems through working with a simple existing model.

    Keywords: simulationecologyIntroductoryNetLogoagent-based modelingagent-based modelLabbioinformaticspredator-preyUndergraduateNIBLSEInstructional SettingAudience LevelActivity LengthLess than 1 hoursimulation cycleC1. Role of bioinformaticsC6. ModelsReviewed at NIBLSEagent based modleing

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    1975-Rodda-Sampson-Smith-The One-Compartment Open Model Parameter Estimation
    A new estimation procedure is proposed for estimating the parameters of the simplest pharmacokinetic model, the one-compartment open model.

    Keywords: compartment modelpharmacokineticsnonlinear estimationone compartment model

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    2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
    This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify...

    Keywords: dynamical systemsregulationsteady statesales modelexternal stimulus

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    A Remote-Learning Framework for Student Research Projects: Using Datasets to Teach Experimental Design, Data Analysis and Science Communication
    Remote learning often requires an alternative to hands-on, student-designed research projects. To this end, we created a package of scaffolded assignments to support introductory students through...

    Keywords: population growthphysiologyecotoxicologyphotosynthesis

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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    Discovering Prokaryotic Gene Regulation with Simulations of the trp Operon
    The trp operon exemplifies important biological concepts, including the central dogma of molecular biology, feedback inhibition, and gene regulation. For this reason, regulation of the trp operon...

    Keywords: prokaryotesgene regulationattenuationfeedback inhibitionrepressible operontrp operon

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