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
    2005-P_Howard-Modeling with ODE
    In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .

    Keywords: Fluid Mechanicscompartmentpopulationsvariational methodsHamiltonian mechanics

    97

    views

    34

    downloads

    0

    comments

    0

    adaptations

    2004-Jones-Song-Thomas-Controlling wound healing through debridement
    In this article, a system of differential equations that models slough/wound interaction is developed.

    Keywords: bacteriawound healinghealingderidingisocline

    121

    views

    48

    downloads

    0

    comments

    0

    adaptations

    2004-Aldo_Rescigno-On the use of pharmacokinetic models
    In this paper I will define in a simple and logical way a set of useful pharmacokinetic parameters and show how their estimation depends on the assumed model.

    Keywords: compartmentsteady statepharmacokineticsvolume distribution

    96

    views

    25

    downloads

    0

    comments

    0

    adaptations

    2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
    We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.

    Keywords: infectionHIVT cells

    152

    views

    43

    downloads

    0

    comments

    0

    adaptations

    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...

    Keywords: diseaselogisticHIVpiecewise constantIndia

    167

    views

    46

    downloads

    0

    comments

    0

    adaptations

    2014-Blomhøj-EtAl-Compartment models
    An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a...

    Keywords: concentrationkineticsphysiologycompartmentsalttankbalancereactionsminkbathtub

    218

    views

    63

    downloads

    0

    comments

    0

    adaptations

    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

    178

    views

    40

    downloads

    0

    comments

    0

    adaptations

    1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
    First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle...

    Keywords: sensitivitychaosparametersRespirationdelayblood cells

    158

    views

    56

    downloads

    0

    comments

    0

    adaptations

    2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
    Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical...

    Keywords: simulationdiseasevirusviral infection

    213

    views

    56

    downloads

    0

    comments

    0

    adaptations

    9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.

    Keywords: Maternal-Fetal interfaceheat equationConservation of Energytheat fluxEuler's forward methodcentral differenceskin burnhyperthermiathermal conductivitylayers

    331

    views

    185

    downloads

    0

    comments

    0

    adaptations

    1-001s-StochasticMDeathImmigration-ModelingScenario
    We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.

    Keywords: simulationdatalogisticimmigrationstochasticdeathfitting

    357

    views

    145

    downloads

    0

    comments

    0

    adaptations

    1-081-TumorGrowth-ModelingScenario
    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...

    Keywords: logisticpopulationtumorGompertz

    220

    views

    238

    downloads

    0

    comments

    0

    adaptations

    1-098-NeuronDetection-ModelingScenario
    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in ...

    Keywords: biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit

    249

    views

    218

    downloads

    0

    comments

    0

    adaptations

    1-110-TidePoolSnails-ModelingScenario
    Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the...

    Keywords: datasnailstemperatureNewton's Law of CoolingcoolingNewtonwarmingtital pooltide pool

    248

    views

    231

    downloads

    0

    comments

    0

    adaptations

    5-012-LipoproteinModeling-ModelingScenario
    Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic...

    Keywords: wildlifelow-density-lipoproteintracercompartment modelcholesterolblood plasmabody tissue

    429

    views

    184

    downloads

    0

    comments

    0

    adaptations

    6-045-CholeraTranmission-ModelingScenario
    During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.

    Keywords: infectious diseasecholeraendemicdisease-freetransmission ratewaterborne pathogen

    189

    views

    83

    downloads

    0

    comments

    0

    adaptations

    1-004-MicroorganismImmigration-ModelingScenario
    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

    Keywords: continuousimmigrationpopulationdeathdiscrete

    194

    views

    111

    downloads

    0

    comments

    0

    adaptations

    Behavioral Genetics: Investigating the genes of a complex phenotype in fruit flies
    Introductory genetics laboratory published as GSA Learning Resource

    Keywords: behaviorbioinformaticsNIBLSEdrosophilagenetic basisfruit fliesmodel organism

    1565

    views

    362

    downloads

    0

    comments

    0

    adaptations

    Wellesley College Study Packet for the Quantitative Reasoning Assessment
    This packet contains a set of 24 practice questions and 2 full-length practice assessments for the Quantitative Reasoning Assessment for Wellesley College.

    Keywords: mathematicsquantitativemathQuantitative reasoningquantproblem set

    1399

    views

    187

    downloads

    0

    comments

    0

    adaptations

    Priority Setting in Public Health: A lesson in ethics and hard choices
    Undergraduate life sciences majors, many of whom aspire to work in healthcare and health research, can benefit from early exposure to ethical issues that they may encounter in these careers. This...

    Keywords: public health ethicsramifications of one's decisionsrole of science in society

    1280

    views

    271

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search