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    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

    Keywords: exponential growthexponential decayisotopespopulationsresource depletion

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    2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus
    I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.

    Keywords: in-class activityexperimentTorricelli's Lawcylinder of waterexpderiment

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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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    2009-Reid-King-Pendulum Motion and Differential Equations
    This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect...

    Keywords: pendulumphysical pendulum

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    Engaging Students in Pharmacogenetics: Patient Case Studies Using the PharmGKB Website
    Cytochrome P450 (CYP) enzymes are important regulators of drug efficacy and toxicity. Genetic variation in CYP isoforms can impact how well patients respond to medications or experience unwanted...

    Keywords: toxicologyPharmacologydrug metabolismpharmacodynamicspharmacogenetics

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    2007-Bellomo-De_Angelis-Delitala-Lecture Notes on Mathematical Modelling in Applied Sciences
    The Lectures Notes correspond to the first part of the course devoted to modelling issues to show how the application of models to describe real world phenomena generates mathematical problems to...

    Keywords: spring massLegendre polynomialsintegro-differential equationskinetic theory

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    Discovery and Invention: A Reflection on Representation in Science
    Despite increased awareness of the lack of equity and inclusion in the STEMM classroom, lessons on DEI topics are treated as separate to the scientific curriculum being taught. Rarely are...

    Keywords: EquityDiversity and Inclusionantiracism

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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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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

    1970

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    1994-Paul_Davis-Asking Good Questions about Differential Equations
    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    Keywords: questionspopulationnumericalphysical contextgraphicalalgebraicIreland

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    Learning R for Biologists: A Mini Course Grab-Bag for Instructors
    As biology becomes more data driven, teaching students data literacy skills has become central to biology curriculum. Despite a wealth of online resources that teach researchers how to use R, there...

    Keywords: Rdata analysisRStudio

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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...

    Keywords: fishpredator-preylogisticpopulationdelaylag

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    2014-Jiri_Lebl-Notes_on_Diffy_Qs_Differential_Equations_for_Engineers
    There is a pdf and html version of the text as well as a purchasable paperback version. The text has pretty much all the basics, but has only a few exercises and there is very little modeling.

    Keywords: differential equationstextbookengineering

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    2013-Marcel_Finan-A_Second_Course_in_Differential_Equations
    Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:

    Keywords: differential equationstextbook

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    2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
    This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.

    Keywords: social networksrumorpropogation

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    2020-Chen_Et_Al-MathModel_Simulation_Phase-Based_Transmissability_Corona_Virus
    In this study, we developed a Bats-Hosts-Reservoir-People transmission network model for simulating the potential transmission from the infection source (probably be bats) to the human infection.

    Keywords: basic reproduction numbercoronavirusnext generation matrixtransmissibilitynovel coronavirus

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    2022-Kalman-Improved Approaches Discrete Continuous Logistic Equation
    In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely...

    Keywords: logisticcontinuousSpreadsheetPrecalculusdiscrete

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    3-103-PullBackCars-ModelingScenario
    This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and...

    Keywords: modelingdynamicshands-ontoypull-back carpullback

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    How to Find a Gene: Retrieving Information From Gene Databases
    A strong understanding of distinct gene components and the ability to retrieve relevant information from gene databases are necessary to answer a diverse set of biological questions. However, often...

    Keywords: NCBItranscriptiontranslationGene StructureGene databasesEnsembl

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