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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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    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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    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-Weinbergblood type frequencies

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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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    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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    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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    5-005-Dialysis-ModelingScenario
    We design a compartment model of a kidney dialysis machine and compare 3 and 9 compartments for the machine as well as determine the effect of change in one of the parameters in the model on the...

    Keywords: countercurrent multiplierkidneydialysisconcurrentcompartment

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    Using Regression Models to Examine the Effect of Carbon Dioxide on Fluid pH
    In this activity students will use statistics and regression models to explore the effects of carbon dioxide on blood pH by measuring pH changes that occur over time as carbon dioxide reacts with...

    Keywords: BiochemistryphysiologyAnatomyGeneral BiologyChoosing modelsCreate graphsInterpret graphsConcepts in Statisticscreate modelsmake predictions

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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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    1996-D_Erdman-MM_Morelock-A Study of Kinetics
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: simulationkineticsparameter estimationEnzymesubstratesavingscompartmentstomachbloodginseng

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    2014-Hrydziuszko-EtAl-Mathematical Two-compartment Model of Human Cholesterol Transport
    We develop a two-compartment mathematical model to investigate cholesterol transport in the circulatory system and its de novo synthesis in the liver.

    Keywords: metabolic syndromecompartmentcholesteroltwo-compartment modelcholesterol transport

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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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    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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    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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    7-010-MultipleDoses-ModelingScenario
    Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus...

    Keywords: drug discoverystep functiondoseDiracdrug administrationinverse Laplace Transformintraveneousbolussteady drip

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    Examining the Physiology Behind the Symptoms of Lactose Intolerance
    This is a set of extension questions for the HHMI short film The Making of the Fittest: Got Lactase? The Co-evolution of Genes Video Activity.
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    Hemoglobin cooperativity and adaptations to high altitude living
    This resource accompanies the "How does blood carry oxygen?" chapter in the Integrating Concepts in Biology etext. Students evaluate the cooperativity of hemoglobin and adaptations to high...

    Keywords: Integrating Concepts in Biology

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