You are here: Home / Resources / Browse Resources

Open. Adaptable. Free.

Resources created by our members and partners.

The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

Text Search:
Applied Filters
    2010-Kijek-Kijek-Modelling of Innovation Diffusion
    This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

    154

    views

    33

    downloads

    0

    comments

    0

    adaptations

    2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
    This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.

    Keywords: population dynamicslogistic equationlocation-dependent carrying capacities

    213

    views

    43

    downloads

    0

    comments

    0

    adaptations

    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence...

    Keywords: biologyDiffusionKeller-Segel modelchemotaxiscrime

    176

    views

    60

    downloads

    0

    comments

    0

    adaptations

    9-020-HeatDiffusion-ModelingScenario
    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular,...

    Keywords: laboratoryDiffusionheat

    234

    views

    575

    downloads

    0

    comments

    0

    adaptations

    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

    145

    views

    92

    downloads

    0

    comments

    0

    adaptations

    1-070-FisheryHarvest-ModelingScenario
    Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At...

    Keywords: logisticDiffusionmanagementharvestfishery

    1200

    views

    1266

    downloads

    0

    comments

    0

    adaptations

    9-005-InvasiveSpeciesModel-ModelingScenario
    This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their...

    Keywords: Invasive Specieslogisticmigrationtraveling wavesdispersion

    365

    views

    324

    downloads

    0

    comments

    0

    adaptations

    1-022-SpreadOfTechnologies-ModelingScenario
    We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic...

    Keywords: data analysistechnologylogisticspreadinnovation

    344

    views

    338

    downloads

    0

    comments

    0

    adaptations

    1-165-FlushToilet-ModelingScenario
    This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a...

    Keywords: juliaDiffusioninnovationrate of innovationBass modelSolver

    299

    views

    406

    downloads

    0

    comments

    0

    adaptations

    2016-Spayd-Puckett- A Three-Fold Approach to the Heat Equation - Data Modeling Numerics
    This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course.

    Keywords: separation of variablesexperimentheat equationLab Equipmentcollect data

    144

    views

    62

    downloads

    0

    comments

    0

    adaptations

    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

    156

    views

    60

    downloads

    0

    comments

    0

    adaptations

    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological...

    Keywords: protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular

    292

    views

    46

    downloads

    0

    comments

    0

    adaptations

    Osmosis Through the Lens of Sexual Health
    Osmosis contributes to a range of biological phenomena, from functioning of nephrons in animals to stomatal opening and closing in plants; yet, scientifically simple ideas about osmosis are common....

    Keywords: OsmosisDiffusionsexual healthsocial and cultural embeddedness of scienceinclusive dialogue

    412

    views

    32

    downloads

    0

    comments

    0

    adaptations

    Diffusion Through a Cell Membrane
    This module introduces rates of diffusion in the context of understanding simple and facilitated diffusion through the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear equationscalculushyperbolic equationsCellular Processesrates of change

    1020

    views

    235

    downloads

    0

    comments

    0

    adaptations

    1-060-SalesMarketing-ModelingScenario
    We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods...

    Keywords: marketingBass modelsalesconsumer productsinnovatorsimitators

    247

    views

    235

    downloads

    0

    comments

    0

    adaptations

    2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
    This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.

    Keywords: knowledge diffusionstationary distributionsproductivity distributionreaction-diffusion equationsquasi-stationary distributions

    128

    views

    61

    downloads

    0

    comments

    0

    adaptations

    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

    598

    views

    76

    downloads

    0

    comments

    0

    adaptations

    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

    915

    views

    186

    downloads

    0

    comments

    0

    adaptations

    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,

    Keywords: biologyMathematical Biologytextbooktext

    199

    views

    46

    downloads

    0

    comments

    0

    adaptations

    2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
    Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.

    Keywords: Filamentous Fungisolid-state fermentationgrowth kineticsdiffusion-reactionoxygen transfer

    209

    views

    50

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search