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    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.

    Keywords: microbiologyLotka Volterrramicrobiota

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    2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
    The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).

    Keywords: bifurcationschaosimpulsive modellimit cycleshysteretic effectsperiod-doubling cascades

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    2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
    The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce...

    Keywords: infectious diseaseinfectionmalarialatencyspatial dispersalmulti-species

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    2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
    This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.

    Keywords: simulationpredator-preyLotka-VolterrapopulationCanadian LynxSnowshoe Harecritical values

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    2008-Ribbing-EtAl-Mathematical models of diabetes progression
    Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the

    Keywords: physiologyclinical trialsdiabetesdiabetes progression

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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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    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

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    2019-Radulescu-Lundgren-A_pharmacokinetic_model_of_lead_absorption_and_calcium_competitive_dynamics
    We build and analyze a compartmental model of lead pharmacokinetics, focused specifically on addressing neurotoxicity.

    Keywords: QUBES Leadership Teamparametersabsorptionbifurcationpharmacokineticscalciumcognitive decline

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    An Introduction to Agent-Based Modeling in Biological Systems Using NetLogo: Workshop Manual
    An introduction to the basics of agent based models, stepping through the creation of a model of bacterial population growth in NetLogo. Aimed at undergrad and graduate students with little-to-no...
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    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

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    1-136-MarriageAge-ModelingScenario
    Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They...

    Keywords: messagesmarriageusing social sciences in forecastingdirected

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    1-150-CancerTherapy-ModelingScenario
    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...

    Keywords: population dynamicsphage therapyexponential growthcancerwater treatmentdecaysurgery

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    Supersized Life: Comparing Across Scales
    How wide is the size range of living beings, from "big" to "too small to see"? Students will collect and compare measurements from 3D specimens within the metric system by multiplying or dividing...

    Keywords: paleontologyBiodiversitytechnology in biologynatural history collectionsmiddle grades (4-9)3D models3D printingWhole Numbers & Place ValueMIDDLE SCHOOL MATH#NGSSscientific measurementscale and proportions

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    Using computational molecular modeling software to demonstrate how DNA mutations cause phenotypes
    This lesson is a five-week series of laboratory activities designed to help students transition from applying lower order thinking skills to the central dogma to applying higher-order thinking skills.

    Keywords: bioinformaticsNIBLSEProtein StructureDNAmolecular modelinggenotypephenotypeCourseSourcecomputational modelingcentral dogmaplant leaf structure

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    Diseasebots
    This module explores the effects of host density on contact rates and transmission of pathogens or mutualist symbionts using a hands-on simulation, a computer agent-based model in NetLogo, and an...

    Keywords: NetLogoDisease ecologydensity dependenceSpreadsheethost-parasitemutualismOpen-inquiry group projectsmanipulative models (‘beanbag biology’)plotting

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    Walkabout: An Easy to Use, Experiential Learning Activity for Applying Abstract Concepts to the Real-World
    Students can have difficulty recognizing examples of course concepts in the real-world. They particularly struggle with phenomena that are ambiguously defined, have mimics, or are hard to...

    Keywords: data gatheringgreen technologyobservations

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    Application of a Bacterial Experimental Evolution System to Visualize and Teach Evolution in Action: A Course-Based Undergraduate Research Experience
    Concepts of evolution are typically taught through examples of extremely long timescales, which do not always resonate broadly. Here, we describe a course-based undergraduate research experience...

    Keywords: EvolutionmutationcompetitionNatural Selectionregulationstructure and functionreproductive fitnessgenotype to phenotypehomologs

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    Knowing your own: A classroom case study using the scientific method to investigate how birds learn to recognize their offspring
    Understanding the scientific method provides students with a necessary foundation for careers in science-related fields. Moreover, students can apply scientific inquiry skills in many aspects of...

    Keywords: scientific methodNatural Selectionbrood parasitism

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    Modeling the Research Process: Authentic human physiology research in a large non-majors course
    Laboratory experiences in large-enrollment introductory science courses often utilize “cookie-cutter style” laboratory experiences due to the relative simplicity of setting up the lab...

    Keywords: data analysishypothesis testingexperimental designphysiology

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    My Dog IS My Homework: Exploring Canine Genetics to Understand Genotype-Phenotype Relationships
    To facilitate understanding of the fundamental genetic concept of the genotype-phenotype relationship in our introductory biology students, we designed an engaging multi-week series of related...

    Keywords: gel electrophoresissequence analysiscanine geneticsdeoxyribonucleic acid (DNA)dog coat morphologygenotype and phenotypemutationsPolymerase chain reaction (PCR)single nucleotide polymorphism (SNP)

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