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    6-001-Epidemic-ModelingScenario
    This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the...
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    1-082-MirroMirror-ModelingScenario
    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate...
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    2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
    We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.
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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...
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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...
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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.
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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.
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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.
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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.
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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...
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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.
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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.
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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.
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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
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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.
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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.
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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.
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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...
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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...
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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...
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