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    2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay 
    Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time...

    Keywords: virusT cellsHopf bifurcationendemic equilibrium

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    Towards better modelling and decision support: Documenting model development, testing, and analysis using TRACE
    We introduce TRACE, a framework for documenting model testing and analysis. TRACE is based on the recently proposed framework of model "evaluation" , and is designed to make models fit for...

    Keywords: standardizationgood modelling practicerisk assessmentdecision supportTRACEResources @ QUBES - Teaching & Reference

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    2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
    We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.

    Keywords: population dynamicsLotka-Volterragrowth ratemutualismLichen

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    1975-Rodda-Sampson-Smith-The One-Compartment Open Model Parameter Estimation
    A new estimation procedure is proposed for estimating the parameters of the simplest pharmacokinetic model, the one-compartment open model.

    Keywords: compartment modelpharmacokineticsnonlinear estimationone compartment model

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    2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
    This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify...

    Keywords: dynamical systemsregulationsteady statesales modelexternal stimulus

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    Fish, forests, and phosphorus: How do tropical fish, rainforest canopies, and volcanic groundwater inputs affect stream phosphorus cycling?
    Rainforest stream nutrient concentrations vary with groundwater source, and different stream fish species feed on aquatic and/or terrestrial prey. Explore how phosphorus cycling changes with stream...

    Keywords: nutrient cyclesBiogeochemistrykeystone speciesfood webFunctional Diversity

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    1-190-IntroClass-ModelingScenario
    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...

    Keywords: population dynamicspredator-preylogisticexponentialgraphical interpretationsqualitative analysis

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    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

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    Pharmacokinetics
    This Excel module explores how drugs are processed and absorbed in the human body.

    Keywords: drug metabolismpharmacokinetics

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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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    2014-Murillo-EtAl-Vertical Transmission in a Two-Strain Model of Dengue Fever
    The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.

    Keywords: Peruvector-host modeldengueepidemmiologyvertical transmission

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    2010-Del-Ciello-EtAl-Modeling Disease
    We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.

    Keywords: diseasespreadcarriessymptomaticasymptomatic

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    2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
    A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.

    Keywords: mRNAlactoselactose operonfeedback regulation

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    2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
    A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.

    Keywords: cinemamoviesbox-office

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    Undergraduates Learn Evolution Through Teaching Kindergartners About Blind Mexican Cavefish
    The development and implementation of a scientific outreach activity comes with a number of challenges. A successful outreach event must match the sophistication of content to the audience, be...

    Keywords: Evolutionecologymorphologysensory biologycave biologycomparative biologyenvironmental differencesregressive lossstructure and function

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    Coevolution or not? Crossbills, squirrels and pinecones
    This case reinforces the concept of coevolution as a reciprocal change in genetic structure between or among two or more populations, by having students analyze and interpret data, build a...

    Keywords: fitnessCoevolutionCo-adaptation

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    Spider Silk: Stress-Strain Curves and Young's Modulus
    This module introduces the stress-strain curve in the context of understanding materials' mechanical behavior. It is intended for an introductory biology audience.

    Keywords: structurestressbiomechanicsFunctionsstrainYoung's Modulusmechanical

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    Type I Functional Response
    This module introduces the type I functional response in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an...

    Keywords: ecologylinear equationsfood density

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    Understanding Trophic Interactions in Rice Agriculture: A Jigsaw Approach
    Students explore four different issues related to trophic interactions that affect modern rice agriculture practices and consider relationships between these issues.

    Keywords: jigsawfood chaintrophic cascadesfood web

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    Adaptation of Terrestrial Trophic Cascades & Population Structure to a Non-Major’s Ecology Course
    In this activity, students will use data from natural parks to examine trophic cascades.

    Keywords: case studyBiodiversityplantsResource Typetrophic cascadesnational parks

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