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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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    Hemoglobin Evolution
    This module introduces equations describing blood viscosity and oxygen transport in the context of understanding the evolution of red blood cells. It is intended for an introductory biology audience.

    Keywords: calculushyperbolic equationsAnimal Physiologyparabolic equationsmaxima

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    Cardiac Output
    This module introduces Fick's principle in the context of understanding the cardiac output. It is intended for an introductory biology audience.

    Keywords: linear regressionproportionslinear equationsOpenStaxAnimal Physiology

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    Cell Division and the Presence of a Growth Factor
    This module introduces exponential growth, the Michaelis-Menten, and Lineweaver-Burk equations in the context of understanding how growth factors influence cell division. It is intended for an...

    Keywords: exponential equationshyperbolic equationsCell StructureCell Growthgrowth factor

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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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    Water Movement through a Membrane: The Van't Hoff Equation
    This module introduces the van't Hoff equation in the context of understanding the metabolic activity of the epithelial cells lining the stomach. It is intended for an introductory biology audience.

    Keywords: AlgebraInequalitiesCellular Processes

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    Enhancing the Microscopy Skills of Non-Science Majors and Nursing Microbiology Students: Promoting the Practice of Observing Multiple Fields of View Using Blood Smear Slides
    One of the challenges in teaching microscopy is having students scan multiple fields of view at high power magnification. Many times, students will feel this unnecessary, especially when presented...

    Keywords: Microscopy SkillsBlood SmearsBlood Disorders

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    2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
    The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic...

    Keywords: tumorGompertz equationgrowth tumor

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    Sickle Cell Disease and Natural Selection in Humans
    A short film explores the evolutionary connection between an infectious disease, malaria, and a genetic condition, sickle cell anemia. The animation explores the genetic causes and biological...

    Keywords: HHMI BioInteractive

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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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    Sickle Cell Disease Case Study
    A short film explores the evolutionary connection between an infectious disease, malaria, and a genetic condition, sickle cell anemia. The animation explores the genetic causes and biological...

    Keywords: HHMI BioInteractive

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    2014-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
    To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for...

    Keywords: metabolic syndromecompartment modelcholesterolhigh blood cholesterol

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    2015-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
    To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for...

    Keywords: metabolic syndromecholesterolhigh blood cholesterolcholesterol homeostasis

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    Tension in Blood Vessels: LaPlace's Equation
    This module introduces Laplace's equation in the context of understanding tension in the walls of blood vessels. It is intended for an introductory biology audience.

    Keywords: linear equationsOpenStaxAnimal Physiology

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    ABO Blood Group Frequencies
    An Excel workbook in which students can calculate blood type frequencies through different approaches (Hardy-Weinberg, quadratic formula, and the EM algorithm). The workbook shows the formulas...

    Keywords: Hardy-WeinbergExcelResources @ ESTEEMblood type frequencies

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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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    5-012-LipoproteinModeling-ModelingScenario
    Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic...

    Keywords: wildlifelow-density-lipoproteintracercompartment modelcholesterolblood plasmabody tissue

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    Engaging Undergraduates in Mechanisms of Tubular Reabsorption and Secretion in the Mammalian Kidney
    If students fail to see the connections among physiological systems, they can become overwhelmed with the amount of information they need to learn. Some students have particular difficulty with the...

    Keywords: OsmosisActive transportMass flowRenal reabsorptionRenal secretionTransport across membranes

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    Why does Blood Flow Change? Investigating the Math of Blood Flow Dynamics
    This collection of activities explores the relationship between blood flow, pressure, and the factors of resistance through graphs and modeling direct and inverse variation.

    Keywords: quant biographingRatiosmathassessmentcollege algebraundergraduate educationphysiologyAnatomyhuman biologyvariationCardiovascular physiologyAnatomy & Physiologylab activityOpenStaxqbccmanipulate equationsUnderstanding fractionsChoosing modelsUnderstanding ratesEstimating answersUse elementary functionsCreate graphsInterpret graphsRates and ProportionsSolving Equations and Inequalities

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    Cells of the Immune System
    This tutorial provides an overview of the immune system, concentrating on the roles played by B and T lymphocytes, and on the antigen-presentation system.
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