Skip to Main Content
Powered by QUBES

Resources

Text Search:
Applied Filters
    Potential Scenario
    147

    views

    83

    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
    190

    views

    45

    downloads

    0

    comments

    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
    Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol
    Modeling Scenario
    523

    views

    291

    downloads

    0

    comments

    1-001a-MMDeathImmigration-Variation-ModelingScenario
    We model exponential death with m&m's as well as death with immigration.
    simulationdatam&mimmigrationdeath
    Modeling Scenario
    372

    views

    644

    downloads

    0

    comments

    6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
    Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.
    epidemiologyspecies interactionsderivativesvisualizationinfectionSIR modelsLaw of Mass Action
    Article or Presentation
    127

    views

    64

    downloads

    0

    comments

    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 as a rate of change.
    datafirst orderparameterAIDS
    Potential Scenario
    155

    views

    95

    downloads

    0

    comments

    2002-Ragnar-Norberg-Basic Life Insurance Mathematics
    Presents fundamentals of life insurance, mortality, savings, banks, finance, reserves, pensions, stochastic processes.
    financestochastic processessavingslife insurancebanksreservespensionsmortality
    Potential Scenario
    154

    views

    62

    downloads

    0

    comments

    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the contract holder.
    financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation
    Modeling Scenario
    378

    views

    199

    downloads

    0

    comments

    1-016-DogDrugs-ModelingScenario
    We offer a problem to determine the necessary drug administration in order to keep a dog sedated with specific information on half-life for an exponentially decaying presence of the drug in the body.
    wild_dogsdrug discoveryhalf-lifepentobarbital sodiumanesthesia
    Potential Scenario
    299

    views

    85

    downloads

    0

    comments

    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.
    epidemiologydiseaseH1N1Influenzaoutbreak
    Potential Scenario
    148

    views

    81

    downloads

    0

    comments

    2015-The European Bioinformatics Institute-BioModels Database
    BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.
    computational biologyBioModels Databasebio databaselife science experiments
    Potential Scenario
    152

    views

    48

    downloads

    0

    comments

    1999-Peter_Deuflhard-Differential Equations in Technology and Medicine
    It deals with a variety of challenging real life problems selected from clinical cancer therapy, communication technology, polymer production, and pharmaceutical drug design.
    cancerdesigntumordrugpolymertherapy
    Potential Scenario
    190

    views

    64

    downloads

    0

    comments

    1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
    Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
    regressionyeastgrowth
    Modeling Scenario
    298

    views

    179

    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
    Potential Scenario
    167

    views

    93

    downloads

    0

    comments

    2014-Rogert_Smith-Mathematical Modeling of Zombies
    Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.
    kineticsZombiezombificationinteraction times
    Potential Scenario
    143

    views

    52

    downloads

    0

    comments

    2004-Charalampos_Toumasis-A mathematical diet model
    This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.
    dietdietetics
    Potential Scenario
    174

    views

    65

    downloads

    0

    comments

    1964-Aghajanian-Bing-Persistence Of LSD In Plasma In Human Subjects
    Two micrograms per kilogram of LSD-25 was administered intravenously to five normal human subjects. The concentration of[ drug in plasma was determined serially over the subsequent 8 hours. We model this.
    LSDscoreplasmalysergic acid diethylamidehuman subjuects
    Modeling Scenario
    402

    views

    277

    downloads

    0

    comments

    1-138-InnerEarDrugDelivery-ModelingScenario
    Students examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equation using separation of variables or integrating factor.
    concentrationdrug deliveryinner earcochleahearing loss
    Modeling Scenario
    322

    views

    494

    downloads

    0

    comments

    6-016-PandemicModeling-ModelingScenario
    The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?
    population dynamicsinfectious diseasediseaseEbolaeSIR modelsCOVID19pandemicepidemicreproduction number
    Potential Scenario
    133

    views

    51

    downloads

    0

    comments

    2011-GA_Koch-Noble-Drugs in the Classroom Using Pharmacokinetics to Introduce Biomathematical Modeling
    By beginning with simple model involving the half-life of a drug, students take advantage of their mathematical abilities to explore the biology.
    Biomathematicspharmacokinetics
    Potential Scenario
    281

    views

    70

    downloads

    0

    comments

    1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
    This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial administration through the plasma.
    LSDcorrelation coefficientcompartment modellysergic acid diethylamideperformancetest scoretissue concentration