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    1989-EY_Rodin-S_Jaques-Countercurrent Oxygen Exchange in the Swim Bladders of Deep-Sea Fish
    Oxygen diffuses from lungs into blood, nutrients diffuse from intestinal tracts into blood and from blood into various cells, and waste products diffuse from cells back into blood.

    Keywords: fishCell Membraneflowbloodbladdercountercurrent

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    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

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    1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
    First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle...

    Keywords: sensitivitychaosparametersRespirationdelayblood cells

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    2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
    Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical...

    Keywords: simulationdiseasevirusviral infection

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    2012-Brian_Ingalls-Mathematical_Modelling_in_Systems_Biology
    This text provides an introduction to dynamic mathematical modeling of cellular processes. The emphasis is on using computational tools to investigate models of cellular phenomena.

    Keywords: biologygene regulatory networksModelsmetabolic networkssignal transduction pathwayselectrophysiology

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    2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick
    An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and...

    Keywords: differential equationssimulationparameter estimationdifference equation

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    Instagram’s Impact on Self-Esteem of Local High Schoolers
    Social media’s effects on connecting people worldwide and its exponential growth in usage sparked studies on its effect on the mental state of users. In the local community of Saratoga,...

    Keywords: social mediamental health

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    Simple, Accessible River-Based Field Investigation of Riverine Microplastics
    Scientists have discovered that microplastic pollution is ubiquitous in the environment, but the small size of these microscopic pollutants prohibits most people from recognizing their prevalence....

    Keywords: environmental sciencemicroplastic pollutionurban waterswasteenvironmental studiesfield-based learningfreshwater ecologywater qualityRiversSingle-use plasticfreshwater sciencewater ecologyField ExperiencesRiver Ecologyfield workThe Scientific MethodRiver Field Studies Networkfield courses

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    Build Multiomic and Visualization Skills in Bioscience Lecture
    This resource promotes inclusive learning by using all free platforms to extend the central dogma to an applied experience. Genomics is focused on with literature reviews that are performed to...

    Keywords: geneticsBiochemistryBiology and Biochemistry EduationProtein StructureBioinformatics and GenomicsFunctional GenomicstranscriptomicsproteomicsRNAseqClinical genomicsprotein structure modelingInclusive teaching3D protein structure /function analysisinclusive classrooms3D protein structuresinclusivegene

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    Climate Change Module (Project EDDIE)
    Students explore how climate is changing from the recent record. Produced by Project EDDIE.
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    Climate Change Module (Project EDDIE)
    Students explore how climate is changing from the recent record. Produced by Project EDDIE.

    Keywords: climate dataclimate changevolcanoes and climateclimate trends

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    9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.

    Keywords: Maternal-Fetal interfaceheat equationConservation of Energytheat fluxEuler's forward methodcentral differenceskin burnhyperthermiathermal conductivitylayers

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    8-002-TrigSumRepresentation-TechniqueNarrative
    Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.

    Keywords: estimationTrigonometryTrigonometric Functionssum of square errorsfinite sumFourier seriesFouriere sumspectrumapproximatiopn

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    1-097-SwimmingPool-ModelingScenario
    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.

    Keywords: concentrationcchlorinenumerical errorswimming poolhorineerreor

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    1-032-WordPropagation-ModelingScenario
    This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through...

    Keywords: Googleexponential growthlanguageword problemsetymologyNgrampropagationJumbo

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    1-001s-StochasticMDeathImmigration-ModelingScenario
    We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.

    Keywords: simulationdatalogisticimmigrationstochasticdeathfitting

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    1-011-Kinetics-ModelingScenario
    We make the connection between chemistry course and differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and second order...

    Keywords: kineticschemistryLaw of Mass Actionchemical kineticsorder of reactionchemical reaction

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    1-081-TumorGrowth-ModelingScenario
    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...

    Keywords: logisticpopulationtumorGompertz

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    1-098-NeuronDetection-ModelingScenario
    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in ...

    Keywords: biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit

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    1-110-TidePoolSnails-ModelingScenario
    Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the...

    Keywords: datasnailstemperatureNewton's Law of CoolingcoolingNewtonwarmingtital pooltide pool

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