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    2020-Stepien_Kostelich_Kuang-Mathematics Cancer An Undergraduate Bridge Course in Applied Mathematics
    Most undergraduates have limited experience with mathematical modeling. This paper describes a course on the mathematical models of cancer growth and treatment.

    Keywords: differential equationsmodelingundergraduate educationcancertumor

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    A Remote Introductory Biology Lab Using Backyard Birdwatching to Teach Data Analysis and Communication
    Asking questions, designing experiments, collecting data and interpreting those data, and communicating the results are some of the most important concepts an undergraduate biology lab can teach...

    Keywords: ecologydata analysisdata collection

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    Advancing population ecology with integral projection models: a practical guide
    Integral projection models (IPMs) use information on how an individual's state influences its vital rates – survival, growth and reproduction – to make population projections using regression...

    Keywords: IPMintegral projection modelspopulation growthreviewsdemographyelasticitylife historymatrix projection modelpopulation growth ratesensitivitystage structurevital ratesregressionResources @ QUBES - Teaching & Referencecovariatesanalytics

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    List of models in which observed patterns are Important
    Supplemental material for ABM

    Keywords: textbookNetLogoagent-based modelingIndividual & Agent Based Modelingin-class activityproblem set

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    Teaching Cancer Biology Through a Lens of Social Justice
    The biology classroom is not separate from the greater context of society; social issues can and should be presented in connection with the content. Here we present an example of antiracist...

    Keywords: assessmentcancersocial justicePOGILAlignmentPublic ExamPublic

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    2010-Bruce-Conrad-Ordinary_Differential_Equations_A_Systems_Approach
    This is an author posted second edition to the text which was originally published by Prentice Hall in 2003.

    Keywords: differential equationstextbook

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    Garden Variety Mutations: Using Primary Data to Understand the Central Dogma in Large-Lecture Introductory Biology
    The ability to interpret and create an argument from data is a crucial skill for budding scientists, yet one that is seldom practiced in introductory courses. During this argumentation module,...

    Keywords: mutationtranscriptiongene expressioncentral dogmatranslationgel electrophoresisGenotype/Phenotype

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    Online Adaptation of the Cell Engineer/Detective Lesson
    One of the most fundamental themes of biology is the relationship between structure and function, which is particularly evident when it comes to cells; however, the traditional cartoon depictions...

    Keywords: cell functionCell StructureOrganelles

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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

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    2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
    Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.

    Keywords: Filamentous Fungisolid-state fermentationgrowth kineticsdiffusion-reactionoxygen transfer

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    2016-Barbarossa-Kuttler-Mathematical Modeling of Bacteria Communication in Continuous Cultures
    This paper presents a simple system of delay differential equations (DDEs) for quorum sensing of Pseudomonas putida with one positive feedback plus one (delayed) negative feedback mechanism.

    Keywords: gene regulatory networkschemostatbifurcationNumerical Simulationquorum sensing

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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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    Intro to BIOMAAP - Student Math Anxiety Overview
    This presentation is intended as a stand alone 45 minutes-1 hour presentation to give students general information on math anxiety and a few strategies to try on their own.

    Keywords: math attitudesResources @ BIOMAAP

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    2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
    For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer...

    Keywords: cancertumorfittingagent-based

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    2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
    In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.

    Keywords: regressionlogisticTorricelli's Lawgrowthperiodic process

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    1986-Cook-Witten-One-dimensional linear and logistic harvesting models
    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.

    Keywords: logisticcontinuouspopulationlineardiscreteharvestinbg

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    1-067-ModelingWithSigmoidCurves-ModelingScenario
    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    Keywords: logisticGompertzsigmoidVerhulst-Pearl

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    1-114-EarthClimate-ModelingScenario
    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface...

    Keywords: climateenergytemperaturelinearizationphase linesenergy balance modelroot finding

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    6-018-ExploringSIRModel-ModelingScenario
    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...

    Keywords: population dynamicssensitivitydiseaseSIR modelsepidemicrumors

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    A Very Basic Tutorial for Performing Linear Mixed Effects Analyses: Tutorial 2
    The second of two tutorials that introduce you to linear and linear mixed models. This tutorial serves as a quick boot camp to jump-start your own analyses with linear mixed effects models.

    Keywords: statisticsRdata analysisgraphingconceptsstatsregressionmixed modelslinear modelsfixed effectsrandom effectsintroductionResources @ QUBES - Teaching & Referencetechnologytutorial 2boot campbeginner

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