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    Quantifying Bacterial Growth in the Guts and Hemolymph of Fruit Flies: Mathematical Modeling and Data Interpolation/Extrapolation
    In this activity, students will analyze raw data obtained from an experiment that explores the effect of overexpressing the Ssk protein in order to strengthen the intestinal barrier and prevent...

    Keywords: graphingexponential growthlinear modelsqbccinterpolationConcepts in Statistics and Precalculus Understanding exponential rates and linear slopesExtrapolation

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    2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
    The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as...

    Keywords: time of deathNewton's aw of cooling

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    2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
    We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.

    Keywords: logisticpopulationparameciaGausegradient search

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    1967-JG-Wagner-Computers in pharmacokinetics
    This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.

    Keywords: kineticscomputerspharmacokinetics

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    1988-Steven_Strogatz-Love Affairs and Differential Equations.
    This is a system of differential equations to describe the love between Shakespeare’s Romeo and Juliet.

    Keywords: Romeo and Julietlove

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    1969-Carl_Metzler-A mathematical model for the pharmacokinetics of LSD effect
    Contains data on performance scores vs. plasma levels of LSD in human tissues.

    Keywords: LSDtestingpharmacokineticsperformanceplasma level

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    Spotting Interactions: Spotted Salamanders, Beneficial Buffers, and Helpful Hydroperiods
    The purpose of this lesson is to help us better understand how we are able to conserve wetland-dependent wildlife. We will be exploring, manipulating, and analyzing data in R using a Poisson...

    Keywords: Poisson Distributionsalamandersvernal pools

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    Antibody Binding
    This module introduces the Scatchard equation in the context of understanding antigen binding and the properties of antigens. It is intended for an introductory biology audience.

    Keywords: linear equationshyperbolic equationsCellular Processes

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    Chemoreception
    This module introduces the probability of cell and molecule collisions in the context of understanding chemoreception. It is intended for an introductory biology audience.

    Keywords: linear equationshyperbolic equationsCellular ProcessesChemoreception

    802

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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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    Nuclear and Cytoplasmic Viscosity
    This module introduces a modified Stokes-Einstein equation in the context of understanding the difference in viscosity between the nucleus and cytoplasm of cells

    Keywords: linear equationsCell StructureCell GrowthCytoplasmic Viscosity

    800

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    Oxygen Diffusion in Simple Organisms
    This module introduces equations related to oxygen diffusion in the context of understanding the relationship between oxygen needs and metabolism. It is intended for an introductory biology audience.

    Keywords: linear equationsOpenStaxAnimal Physiologyparabolic equations

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    2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
    This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.

    Keywords: projectileair resistancefree falldragharmonic oscillation

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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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    Making “sense” out of surface area to volume relationships
    Using a multimodal approach, the non-linear aspect of the surface area to volume relationship is explored. Students use their their senses of taste and sight to determine how smaller cells and...

    Keywords: active learningintroductory biologycell biologyquantitative skillskinesthetic learningLDC2023

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    1992-CHF_Bulte-The differential equation of the deflection curve
    This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general...

    Keywords: beamdeflectionshear forcebending momentcritical loadnatural frequency

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    1992-Emelie_Kenney-Differential equations and the AIDS epidemic
    This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative...

    Keywords: epidemicCDCAIDSDisease Control

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    1981-Nielsen_Francois-Rachel_Rosenfeld-Substantive_Interpretations_of_Differential_Equation_Models
    The interpretation of parameters of dynamic models is illustrated with reference to research on two substantive topics: political mobilization and intragenerational mobility.

    Keywords: differential equationsdynamical systemsFirst order linearintragenerational mobilitypolitical mobilizationmobility

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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    2018-Mohammed_Kaabar-A_Friendly_Introduction_to_Differential_Equations
    In this book, there are five chapters: Laplace Transform, Systems of Homogeneous Linear Differential Equations, Methods of First and Higher Orders DEs, Extended Methods of First and Higher Orders...

    Keywords: textbookordinary differential equations

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