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    Investigating Cell Signaling with Gene Expression Datasets
    Modern molecular biology is a data- and computationally-intensive field with few instructional resources for introducing undergraduate students to the requisite skills and techniques for analyzing...

    Keywords: genomicstranscriptionsignaling

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    Taking the Hassle out of Hasselbalch
    Mention pH in a classroom and you can almost see the inner yawn on the faces of your students. The definition may even roll easily from their lips. However, despite multiple exposures to the...

    Keywords: pHdrug uptakeHenderson-Hasslbalch equationmedical applicationspKa

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    Grappling with Graphs: New tools for improving graphing practices among biology students
    Poster on gathering information about undergraduate biology students' graphing practices and using this information to guide teaching of graph construction. Presented at the 2021 BIOME Institute.

    Keywords: educationbiologygraphinggraphsundergraduate biology education2021 BIOMEgraph

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    Sex-specific differences in Meiosis: Real-world applications
    In traditional classrooms, students are typically presented with facts that they are asked to memorize and recall during an exam.  The rapid explosion of available scientific facts in recent...

    Keywords: meiosisReproductionAneuploidyGameteNon-disjunctionOocyteSpermTrisomy

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    Lateral Transfer Maps as a Metacognitive Tool in First Year STEM Courses
    We introduce the Lateral Transfer Map (LTM), a tool for students to actively and visually explore the transfer of ideas, skills, and concepts across concurrent coursework. The LTM is an extension...

    Keywords: concept mapmetacognitionfirst-year studenttransfer

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
    In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from...

    Keywords: asthmatobacco smokeLiao’s Homotopy analysis Method (environmental pollutants

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    2017-Jean-Roux-Mathematical Models in Air Quality Problems
    Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.

    Keywords: air pollution effects on forest ecosystemsfinite volume methodboundary layerchemical kineticsfinite differenceemissionsdepositionsadvection

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    2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
    This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.

    Keywords: diabeteshealth model

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    2011-Yuan-EtAl-Real life applications of ODEs for Undergraduates
    This study introduces real-life mathematical theories and models of international relationships suitable for undergraduate ordinary differential equations, by investigating contradicts between...

    Keywords: arms raceRichardson modelBattle of Curupaytíinternational relationships

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    2008-Lawson-Marion-An Introduction to Mathematical Modelling
    This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general...

    Keywords: time serieslinear regressionAkaike Information Criterionmcomparision models

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    2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
    This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.

    Keywords: survivalpredator-preyharvestrefugePontryagin’s maximal principlehidingoptimal harvest

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    1999-McCartney-Carey-Modelling Traffic Flow Solving and Interpreting Differential Equations 
    A simple mathematical model for how traffic flows along a road is introduced.

    Keywords: traffictraffic flow

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    1977-HI_Freedman-P_Whitman-Mathematical models of population interactions with dispersal
    A system of differential equations is proposed as a model of dispersion between two populations in habitats separated by a barrier.

    Keywords: predatorbarriertwo populationstwo habitats

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    1992-John_Mathews-Bounded population growth-a curve fitting lesson
    The purpose of this article is to present two methods for fitting the logistic curve to data supplied by the U. S. census bureau.

    Keywords: datalogisticlinearizationfitting

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    2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity
    We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.

    Keywords: optimizationdiscoveryFourierFourier seris

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    2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics
    We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.

    Keywords: kineticsparameter estimationlogisticchemical kineticschemical reaction

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    1990-Winkel_Brian-First-year_calculus_students_as_in-class_consultants
    We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a...

    Keywords: optimizationcalculusConsultantprinterclient

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    2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide
    We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.

    Keywords: dataparameter estimationcarbon dioxidesublimationdry ice

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    1994-Brian_Winkel-Ant_Tunnels_and_Calculus
    A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.

    Keywords: differential equationsdifference equationfirst orderderivative definitionant tunnel

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