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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

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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

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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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    2023-TechShareNotes. Differential Equations Modeling
    TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as...

    Keywords: population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling

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    COVID-19: On the way to a vaccine
    This multi-part case study introduces the reader to the SARS-CoV-2 virus origins, the molecular basis of the infection, the development and severity of symptoms, and treatment.

    Keywords: BLASTprotein structure modelingmolecular visualization and analysisCOVID19PDB

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    Understanding COVID-19 Biology to Design a Vaccine
    This multi-part case study introduces the reader to the SARS-CoV-2 virus, replication, and treatment. Additional worksheets introduce students to bioinformatics tools of 3-D protein visualization...

    Keywords: BLASTprotein structure modelingmolecular visualization and analysisCOVID19PDB

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    COVID-19: Molecular Basis of Infection
    This case was written in Spring 2020 during the COVID-19 pandemic. It focuses on understanding the structure and interaction of the SARS-Cov-2 viral spike protein that facilitates infection in...

    Keywords: infectionvaccinemolecular visualization and analysisCOVID19PDBSARS-CoVMolecular Case Study

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    Instructor Solutions Second Edition SIMIODE Textbook HTML Version
    This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox...

    Keywords: textbookhtmlSIMIODE textbookSecond Edition

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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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    2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
    Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a...

    Keywords: Galerkin

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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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