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    2010-Kijek-Kijek-Modelling of Innovation Diffusion
    This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

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    2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
    In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.

    Keywords: SASsuperpositionpharmacokineticscompartmental modelsmultiple dose

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    2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    Keywords: resistanceprojectile motionprojectilefluidMersenne

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    2011-Richard_Fitzpatrick-Newtonian_Dynamics
    This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of...

    Keywords: modelingtextbookphysicsbifurcation

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    Studying phylogeny by producing phylogenetic trees of primates using morphological and molecular characteristics.
    An assignment constructing phylogenetic trees using shared, derived morphological traits and molecular differences among 18 primate species and two outlier species has been developed. Skull and...
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    1-085-DrugBolus-ModelingScenario
    Given data on the concentration of a drug in the plasma of a human in mg/L at certain time intervals in hours can we determine the rate at which the drug leaves the plasma as well as the initial...

    Keywords: concentrationsum of square errorsbolusdrugrate constantadminister

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    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    Keywords: animalNetwon's Second Law of Motionfalling bodyterminal velocityair resistanceNewtonair frictionfall

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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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    3-101-SpringMassFirstTry-NoResistance-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.

    Keywords: frequencymassoscillationundampedspring constantspring\Single Degree of Freedom System

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    3-102-SpringMassDamped-ModelingScenario
    Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.

    Keywords: frequencymassoscillationstiffnessspring constantspring\dampedSingle Degree of Freedom Systemcoefficient

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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    Quantitative Biology at Community Colleges: Building a Community of Biology and Math Faculty to Develop and Disseminate Open Educational Resources
    This is a poster presented at the SABER West 2020 conference. We introduced the grant's goals and objectives, described the leadership team and disseminated the information about the first network...

    Keywords: community collegesquantitative biologyinterdisciplinaryCommunities of Practicebiology and math

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    Investigating Leaf Litter Decomposition and Invertebrate Communities in Streams
    Students utilize the provided dataset to engage in an open-inquiry project on the impacts of abiotic and biotic factors on stream macroinvertebrate communities and/or leaf litter decomposition.

    Keywords: Resources @ ESA - TIEEInvasive SpeciesfmnDIGspecies tolerance curvesdiversity indiceslitter decomposition ratesfreshwater ecologyopen-inquiry

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    Pre-Health Students' Attitudes towards the Relative Importance of Biology and Statistics for their Preparation for Professional School
    Undergraduate research poster presented at the Undergraduate Research Symposium at the University of Pittsburgh in 2015.

    Keywords: pre-medicalMCATpre-healthAAMCMR5Presentation

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    CURE-all: Large Scale Implementation of Authentic DNA Barcoding Research into First-Year Biology Curriculum
    Growing calls in science education reform have emphasized wide-scale engagement of first-year undergraduate students in authentic research experiences; however, large course enrollments, inadequate...

    Keywords: phylogeneticsbioinformaticsBiodiversityprocess of sciencetaxonomyPCRDNADNA sequencegel electrophoresis

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    Isolation and Functional Analysis of a Pancreatic Enzyme in an Introductory Student Lab
    Structure and function are correlated at all levels of biology. This topic is typically addressed early in an undergraduate class in general or molecular biology before students have gained much...

    Keywords: Protein StructureproteaseEnzymechemical bondscatalysissolubility

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    Plotting Cranial and Spinal Nerve Pathways in a Human Anatomy Lab
    Hands-on experiences with cadavers, animal dissections, or plastic models are effective at improving student learning and attitudes in human anatomy courses. The hands-on experience allows students...

    Keywords: human anatomyNervous systemBrainCranial nerveNerveSpinal cordSpinal nerve

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    Problem-Based Learning for Physiology: Synthesizing the Cardiovascular System, Respiration, Macronutrient Metabolism, and Renal Function
    Problem Based Learning (PBL) is a valuable tool for helping students overcome reliance on memorization by scaffolding opportunities for them to practice the competency of...

    Keywords: MetabolismObesityblood pressurecardiac functioncardiovascularmetabolic syndromerenalRespirationrespiratory system

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    Investigating Gene Expression and Cell Specialization in Axolotl Embryos
    The process of cell specialization is critical to the formation and function of tissues in animals and plants. Although gene expression, including the regulation of transcription, is taught in most...

    Keywords: developmenttranscriptiongene expressionmodel organismembryo

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    Geography and Embodied Perceptions: a pathway to reanimating rivers through lived experiences.
    In this lesson students embark upon a journey through the many ways we come to know a watershed, with foci on its physical geography and our embodied perceptions. This enables students to formulate...

    Keywords: PhilosophygeographyRiver Field Studies Networkperceptionwatershednature journalexperiencesensationhumanityplacehomeembodied perceptionsense of placeplace attachmenttransdisciplinaryqualitative methodscalable

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