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    Investigating the ecological value of migratory fishes on stream ecosystems in southern Appalachia
    Using the Ecological Society of America’s Four-Dimensional Ecology Education (4DEE) framework, students apply ecological concepts such as energy flow, nutrient cycling, migration, and climate...

    Keywords: Stream ecologynutrient cycling4DEE Frameworkfish migration

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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

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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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    2001-Cheng-Teaching mathematical modelling in Singapore schools
    The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.

    Keywords: teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore

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    1989-R_Blickhan-Spring Mass Model For Running-Hopping
    A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function...

    Keywords: spring massjumpjumping

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    The Effect of Instructor Communication on Student Perceptions of Mathematics in Biology
    Undergraduate research poster presented at the Undergraduate Research Symposium at the University of Pittsburgh in 2015.

    Keywords: biology teachingundergraduate researchPresentation

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    1996-D_Erdman-MM_Morelock-A Study of Kinetics
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: simulationkineticsparameter estimationEnzymesubstratesavingscompartmentstomachbloodginseng

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    1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
    The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.

    Keywords: sociologypoliticsintragenerational mobilitypolitical mobility

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    Rstudio cheatsheets
    Cheatsheets are quickstart guides to using some of the most popular packages and features of Rstudio.

    Keywords: R

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    NCBI Overview
    An overview of some of the databases within NCBI and how to get FASTA sequences.

    Keywords: videosbioinformaticsFASTAgenomicsNCBIyoutube

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    1-026-Evaporation-ModelingScenario
    We provide data on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a...

    Keywords: evaporationconealcoholPetri dish

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    Investigation of Subunit Interactions of Glyoxysomal Malate Dehydrogenase Using Engineered Cysteine Residues
    A research poster.

    Keywords: JoCURE

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    1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
    Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two...

    Keywords: LSDcompartmentpharmacokinetics

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    2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
    These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.

    Keywords: biochemicalkineticsreactionreaction networkmass action

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    Survey Findings - RIOS Outcome Survey Fall 2022
    Summary of survey findings to understand members of the RIOS Institute's experience with RIOS since the project’s inception.

    Keywords: evaluation

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    Curvature and Maximum Permissible Speeds
    In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing....

    Keywords: data analysiscalculusnumerical approximationengineeringcalculus 3transportation

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    6-030-SaltAndTorricelli-ModelingScenario
    We build on a model for the height of a falling column of water with a small hole in the container at the bottom of the column of water. We use data from one video of a falling column of water.

    Keywords: whole picturetankmixingflowcolumn of watersalt mixinggraduated cylinderapertureTorricelli's Law

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    A “Rule-of-Five” Framework for Models and Modeling
    In this paper, we extend the “Rule-of-Four,” initially used in calculus reform efforts, to a “Rule-of-Five” framework for models and modeling that is inclusive of varying disciplinary definitions...
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    Nastic Movements in Plants
    This module introduces an osmotic model in the context of understanding plants' capability of rapidly adapting to changes in their environment. It is intended for an introductory biology audience.

    Keywords: plant physiologyhyperbolic equationsOpenStaxinterpreting modelsnastic movements

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    Water Movement through a Membrane: The Van't Hoff Equation
    This module introduces the van't Hoff equation in the context of understanding the metabolic activity of the epithelial cells lining the stomach. It is intended for an introductory biology audience.

    Keywords: AlgebraInequalitiesCellular Processes

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