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    1-134-LanguageDynamics-ModelingScenario
    Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another.

    Keywords: languagecompartmentphase linesbifurcationswitching

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    1-135-FishHarvesting-ModelingScenario
    This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the...

    Keywords: population dynamicsfishstabilitybifurcationharvest

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    7-040-TankInterruptMixing-ModelingScenario
    We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

    Keywords: Laplace transforminverse Laplace Transformsalttankmixinginterrupt

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    Gelin’: Gel Electrophoresis Simulation
    Students will understand how DNA is separated into a fingerprint by using a chromatography activity to simulate gel electrophoresis.

    Keywords: DNAgel electrophoresisdna fingerprintchromatography

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    Cell Aggregation and Sphere Packing
    This module introduces the calculation of packing density in the context of understanding cell aggregation and arrangement. It is intended for an introductory biology audience.

    Keywords: RatiosGeometryInequalitiesCell StructureCell GrowthCell AggregationSphere Packing

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    Maintaining Cellular Conditions: pH and Buffers
    This module introduces the chemical reactions related to pH in the context of understanding how acidity can affect both the structure and chemical reactivity of cellular molecules. It is intended...

    Keywords: ExponentsLogarithmsRatiosCellular Processes

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    Exploring Indigenous Viewpoints in the Undergraduate Biology Classroom: An Environmental Case Study Incorporating Hawaiian Traditional Ecological Knowledge
    Changing science education to foster greater equity and inclusion for Indigenous students will require effort from instructors and institutions. Instructors can help by including Traditional...

    Keywords: ecologycase studyenvironmentsystems thinkingTraditional ecological knowledgeindigenous knowledgehawai'idecolonizing scienceNative knowledgeFish ponds

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    2015 SMB Minisymposium: Topics in Biomathematics Education
    Collection of presentations given at the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: SMB

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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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    Why do Some People Inherit a Predisposition to Cancer? A small group activity on cancer genetics
    Before undergraduate students take a genetics course they generally know cancer has a genetic basis and involves the proliferation of cells; however, many are uncertain about why only a subset of...

    Keywords: cancerInheritance patternsProbability calculationProto-oncogeneTumor Suppressor Gene

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    Learning the Landscape: An Active and Applied Lesson on Landscape Ecology for General Ecology Courses
    Landscape ecology is an important subtopic of ecology. As a field, it is inherently interdisciplinary and provides opportunities to teach not only content, but transferable ecological and...

    Keywords: landscape ecologyspatial scaleecosystem managementHabitat fragmentation

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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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    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.

    Keywords: dampingfrequency responseresonanceoscillationbeatsunderdampingharmonic oscillatorsover dampingcritical damping

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    2012-Shargel-Yu-AccessPharmacy-Applied Biopharmaceutics and Pharmacokinetics
    Step by step formation of drug absorption models is shown with many good graphics of system and plots. Solutions are offered but no solution methods are shown.

    Keywords: Michaelis-MentenEnzymesubstratecompartmentpharmacokineticsrate constanturinary dataabsorption rate

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    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence...

    Keywords: biologyDiffusionKeller-Segel modelchemotaxiscrime

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    1-165-FlushToilet-ModelingScenario
    This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a...

    Keywords: juliaDiffusioninnovationrate of innovationBass modelSolver

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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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    Computational Biology using R
    This is an introductory level course on computational biology.

    Keywords: simulationmoduleRcourseprojectsolutions

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    2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
    This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.

    Keywords: stage structurepredatorpreybifurcationswitching

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    2017-Alex_Honchar-Neural Networks For Solving Differential Equations
    In this post I want to show how I applied simple feed-forward NNs to different differential equations with increasing complexity: ODEs, second order ODEs, and, finally, PDEs.

    Keywords: neural networksCybenko theoremdiffusion equationfluid dynamics

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