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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...

    Keywords: Euler's methodimproved Euler's methodRK3 methodsRK4 methodsorder of accuracyabsolute errorCPU time

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    Type II Functional Response: Holling’s Disk Equation
    This module introduces the Holling’s disk equation in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an introductory...

    Keywords: ecologyHolling's Disk Equation

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    2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
    We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend...

    Keywords: propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area

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    2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
    It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.

    Keywords: feedbackAccelerometersfunctional differential equationssemi-discretizationD-subdivision method

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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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    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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    2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.

    Keywords: simulationparameter estimationshoppingfittingbehaviour

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    2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
    This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.

    Keywords: social networksrumorpropogation

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    1-115-ModelingWithFirstOrderODEs-ModelingScenario
    Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.

    Keywords: bacteriafalling objectNewton's Law of Coolingdrugcoolingdrag

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    Evaluating the Quick Fix: Weight Loss Drugs and Cellular Respiration
    One key to student success in introductory and cell biology courses is a foundational knowledge of cellular respiration. This is a content area in which students often harbor misconceptions that...

    Keywords: data analysisCellular RespirationElectron Transport ChainEnergy transformationsMitochondriaOxidative phosphorylationWeight loss drugs24-dinitrophenol (DNP)

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    2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
    The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.

    Keywords: adaptive copingReservoirsNotre Dame Longitudinal Study on Agingoutputinput distributionstressorscoping resources

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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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    2001-A_Tsoularis-Analysis_of_logistic_growth_models
    The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.

    Keywords: logisticpopulationgrowth curvelimited growthGompertzhistorylogistic equationVerhulstPearl and ReedBertalanffyRichards

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    1-084-GoingViral-ModelingScenario
    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of...

    Keywords: simulationlogisticrandomfittingpartial fractions

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    Downloading and Visualizing Project Data from the iNaturalist Database
    In this activity you will learn how to create a query, export, and download data from iNaturalist; load data into R; explore pollinator-plant interactions with R, and create heat map, bipartite,...

    Keywords: data visualizationplantsPlant EcologyPlant-insect interactionsnetwork#iNaturalistBLUEpollinators

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    The impacts of wildfire smoke on human health with Dr. Colleen Reid
    In this discussion, Dr. Colleen Reid discusses her field of Health Geography, or how environmental exposures impact population health. A detailed breakdown of the pollutant composition of...
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    Coral Bleaching Mapping Activity
    This is a classroom activity in which students use authentic data to assess the threat of coral bleaching around the world. It supports the 2014 Holiday Lectures on Science video featuring Dr....

    Keywords: ecologyResources @ HHMI - BioInteractiveBiodiversityclimateScientific ProcessStatistics and Mathecosystemsearth and environmenthuman impactsHigh School

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    Buffer Preparation
    This Excel workbook calculates the necessary components to create a buffer solution using the Henderson-Hasselbalch equation.

    Keywords: buffer solutionacidbase

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    2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
    Walk through the cases in context of second order linear constant coefficient differential equation with driving function

    Keywords: driving functionviscousmechanical system

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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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