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    2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
    In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.

    Keywords: epidemiologydynamical systemszombiesbifurcationperturbation

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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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    2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
    This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.

    Keywords: epidemiologysimulationinfectious diseasedisease transmissiondiseasein-class activitybean bag activity

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    2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
    The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.

    Keywords: financeinverse problemnumerical nonlinear optimizationasset flowfinancial market dynamicsmarket return prediction algorithm

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    Who’s That Speci-Mon? Using PokémonTM to Understand Biological Terminology Using Greek and Latin Roots
    We set out to create a fun and engaging activity using recognizable fictional characters, so students get a chance to practice using Greek and Latin roots to create binomial names. Students in...

    Keywords: linguisticstaxonomyAnatomyGreek and Latin Roots

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    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,

    Keywords: biologyMathematical Biologytextbooktext

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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

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    2010-Scott_Carrell-James_West-Does_Professor_Quality_Matter-Evidence_from_Random_Assignment_of_Students_to_Professors
    In the postsecondary environment, scores on student evaluations of professors are typically used to measure teaching quality. We possess unique data that allow us to measure relative student...

    Keywords: teachingevaluationfollow-on coursestudent achievement

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    6-003-SchoolFluEpidemic-ModelingScenario
    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

    Keywords: infectionepidemicSIR modelflupeakschool children

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    Sanger Sequencing by Hand: Using Paper Clips to Demonstrate Chain Termination
    Sanger sequencing is commonly taught with a hands-on approach. Sanger sequencing involves chain termination by dideoxynucleotides, because they are missing the oxygen on the 3’ carbon atom,...

    Keywords: nucleotidessequencingDNAgel electrophoresisChain Termination

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    Introducing Immunology Research Literature to Understand B-cell Receptor Gene Expression
    Immunology is relevant to our everyday lives, driving a need for more engaging and inclusive undergraduate immunology education. One way to engage a diverse group of learners is by teaching them...

    Keywords: recombinationantibodyV(D)J recombinationB-cell receptorlymphocyte receptor

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    A Pandemic Pivot: Podcast as an Active Engagement Tool in the Classroom and Beyond
    Higher education in STEM undoubtedly integrates the use of technology as a primary mode for content delivery to undergraduate students. This became especially salient throughout the shift to online...

    Keywords: VaccinesReplication of virusesCOVID-19 transmission

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    A Rapid Genetic Screen Using Wisconsin Fast Plants®: A Hands-On Approach to Inheritance of de novo Mutations
    Some concepts in genetics, such as genetic screens, are complex for students to visualize in a classroom and can be cumbersome to undertake in the laboratory. Typically, very large populations are...

    Keywords: mutationInheritancegermlinesomaplant lifecycle

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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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    Integrating Community Ecology Into the Study of Parasites: Exploring the Effect of Host Behavior on Parasite Transmission Rates
    Organismal life cycles are often presented as a set of facts to memorize in undergraduate biology courses. This approach is cognitively demanding for students and fails to convey how central life...

    Keywords: statisticsspecies interactionsQuantitative reasoninggraphsCommunity EcologyParasitologyfood webs

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    A Laboratory Module That Explores RNA Interference and Codon Optimization Through Fluorescence Microscopy Using Caenorhabditis elegans
    Scientific research experiences are beneficial to students allowing them to gain laboratory and problem-solving skills, as well as foundational research skills in a team-based setting. We designed...

    Keywords: microscopyC. elegansquantitative analysisinquiry-based learninggene expressionRNA interferenceCodon UsageLaboratory Module

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    A Modeling Exercise in Sexual Selection using a Student-Created Bird Species
    Evolution-centered lessons at the undergraduate level can often be jargon-heavy, propagate misconceptions if taught ineffectively, and be uninteresting to students who may not see the relevancy of...

    Keywords: Evolutionfitnesssexual selectionNatural Selectionintersexual selectionmate choice

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    Mock Drug Activity Enhances Student Learning About the Challenges of HIV/AIDS Therapy
    While traditional didactic coursework is important for learning about the scientific aspects of HIV/AIDS, it is difficult to convey social aspects of the epidemic. Due to effective drug therapies,...

    Keywords: drug resistanceRetrovirusViral replication

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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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