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    Potential Scenario
    159

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    96

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    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
    160

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    65

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    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
    Article or Presentation
    133

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    54

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    2011-Carl_Leinbach-Beyond_Newton_law_of_cooling_estimation_of_time_since_death
    The estimate of the time since death. Thus, the time of death is strictly that, an estimate. However, the time of death can be an important piece of information in some coroner’s cases, especially those that involve criminal or insurance...
    Newton's Law of Coolingtime of deathdouble exponentialcoroner
    Potential Scenario
    154

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    83

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    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
    408

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    49

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    2011-Yuan-EtAl-Real life applications of ODEs for Undergraduates
    This study introduces real-life mathematical theories and models of international relationships suitable for undergraduate ordinary differential equations, by investigating contradicts between different nations or alliances.
    arms raceRichardson modelBattle of Curupaytíinternational relationships
    Potential Scenario
    115

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    47

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    2008-Taro-Blog on Modern Political Economy-Differential Equations in Our Life
    Differential equations - easy to hear but often impossible to solve- are around there in our life. If you are an econ learner, you have much time to express the economy by using differential equations.
    bathtubhot coffeerunning taterexonomicsforgetting
    Modeling Scenario
    384

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    199

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    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
    304

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    87

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    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
    155

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    50

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    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
    193

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    64

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    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
    309

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    187

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    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
    169

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    94

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    0

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    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
    237

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    104

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    2005-JC_Sprott-Dynamical Models of Happiness
    A sequence of models for the time evolution of one’s happiness in response to external events is described.
    happinessoscillation
    Potential Scenario
    147

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    52

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    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
    Modeling Scenario
    413

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    287

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    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
    324

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    506

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    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
    137

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    51

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    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
    286

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    73

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    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
    Article or Presentation
    244

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    532

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    2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
    We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school
    moduleepidemicboarding schoolTeaching Module
    Potential Scenario
    168

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    54

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    2017-Lia_Vas-Modeling With Differential Equations
    This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are offered.
    thresholdsfalling objectgrowthtank mixing