Skip to Main Content
Powered by QUBES

Resources

Text Search:
Applied Filters
    Modeling Scenario
    793

    views

    418

    downloads

    0

    comments

    1-012-Sublimation-Modeling Scenario
    We offer data on the sublimation of dry ice (carbon dioxide) collected in a classroom setting so that students can model the rate of change in the mass of a small solid carbon dioxide block with a differential equation model, solve the...
    sublimationdry ice
    Article or Presentation
    865

    views

    46

    downloads

    0

    comments

    SIMIODE Spring 2024 Webinars - Insightmaker
    We discuss the use of the FREE system dynamics software Insightmaker (https://insightmaker.com/) in a first course in Ordinary Differential Equations (with a modeling emphasis).
    modelingsimulationSoftwarepythonsystemsInsightMakerflowCategory Theorystockstock-flow
    Modeling Scenario
    282

    views

    390

    downloads

    0

    comments

    1-132-DigoxinElimination-ModelingScenario
    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
    nullclinespharmacokineticsdigoxindrug eliminationtwo compartment
    Potential Scenario
    109

    views

    72

    downloads

    0

    comments

    2014-Hrydziuszko-EtAl-Mathematical Two-compartment Model of Human Cholesterol Transport
    We develop a two-compartment mathematical model to investigate cholesterol transport in the circulatory system and its de novo synthesis in the liver.
    metabolic syndromecompartmentcholesteroltwo-compartment modelcholesterol transport
    Potential Scenario
    104

    views

    31

    downloads

    0

    comments

    2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
    It is advisable that the professionals involved learn the various tools available for designing effective training programs.
    fitnessexercise physiologycritical power modelBanister impulse-response modelcoaching educationphysical fitnessperformance modeling
    Potential Scenario
    93

    views

    38

    downloads

    0

    comments

    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
    glucose tolerance testsum of squared residualsmultiple shooting methodcost function
    Potential Scenario
    115

    views

    32

    downloads

    0

    comments

    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 final parameters for various countries.
    Bass modelinnovation diffusionLogistic modeldynamic model
    Potential Scenario
    105

    views

    68

    downloads

    0

    comments

    2002-Dietz-Heesterbeek-Daniel Bernoulli-epidemiological model revisited
    The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper and its impact are described.
    life tableepidemicsmallpoxDaniel Bernoullicompeting riskinoculation
    Potential Scenario
    89

    views

    52

    downloads

    0

    comments

    2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
    This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models of epidemics may be applied to the transmission of...
    age structurerumorspersistenceUrban Legends
    Potential Scenario
    97

    views

    29

    downloads

    0

    comments

    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics.
    Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem
    Free Online Textbook
    197

    views

    69

    downloads

    0

    comments

    2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
    This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.
    projectsmathematical modeltextbooktechniquesfreeproofssageTheory
    Potential Scenario
    101

    views

    42

    downloads

    0

    comments

    2019-Radulescu-Lundgren-A_pharmacokinetic_model_of_lead_absorption_and_calcium_competitive_dynamics
    We build and analyze a compartmental model of lead pharmacokinetics, focused specifically on addressing neurotoxicity.
    QUBES Leadership Teamparametersabsorptionbifurcationpharmacokineticscalciumcognitive decline
    Modeling Scenario
    124

    views

    98

    downloads

    0

    comments

    6-003-SchoolFluEpidemic-ModelingScenario
    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.
    infectionepidemicSIR modelflupeakschool children
    Modeling Scenario
    718

    views

    257

    downloads

    1

    comments

    1-128-RocketFlight-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
    resistanceFlightRocketrymassNewton's Second Law of MotionthrustFree Body Diagramapexrocket
    Modeling Scenario
    306

    views

    424

    downloads

    0

    comments

    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 the shape of the surface of a mirror from optical...
    astronomymirror climate change mitigation ocean deacidificationopticstelescopelensFoucaultinterpolation
    Modeling Scenario
    222

    views

    97

    downloads

    0

    comments

    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 the virus to devise a logistic differential equation.
    simulationlogisticrandomfittingpartial fractions
    Modeling Scenario
    241

    views

    145

    downloads

    0

    comments

    1-136-MarriageAge-ModelingScenario
    Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They are then expected to analyze the behavior of these...
    messagesmarriageusing social sciences in forecastingdirected
    Modeling Scenario
    194

    views

    113

    downloads

    0

    comments

    3-042-CatapultLaunch-ModelingScenario
    We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.
    projectile motioncatapultuphilllaunch angle
    Modeling Scenario
    179

    views

    327

    downloads

    0

    comments

    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their model to approximate the value of the spring...
    undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation
    Modeling Scenario
    208

    views

    130

    downloads

    0

    comments

    5-010-DNADegradation-ModelingScenario
    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process.
    DNA\kinetisplasmaratpharmacokinetis