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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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    Science Behind the Lesson: It's a Bird! It's a Plane! It's Biomechanics!
    Active flight is a specialized mode of movement found in insects, birds, and mammals. The anatomy, morphology, physiology, and ecology of flying taxa has changed over evolutionary time. Researchers...

    Keywords: EvolutionecologybatphysiologyAnatomybiomechanicsbirdFlightinsect

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    Teaching Advanced Concepts in Regulation of the Lac Operon With Modeling and Simulation
    Success in biochemistry and other life science courses requires that students understand important biological concepts. One of these concepts is how gene regulation ensures that homeostasis is...

    Keywords: gene regulationinducible operonProkaryotic cellPhosphoenolpyruvate transferase system (PTS)

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    Wolf Sheep Predation Simulation Exercise
    This resource is an exercise to introduce students to agent-based modeling of biological systems through working with a simple existing model.

    Keywords: simulationecologyIntroductoryNetLogoagent-based modelingagent-based modelLabbioinformaticspredator-preyUndergraduateNIBLSEInstructional SettingAudience LevelActivity LengthLess than 1 hoursimulation cycleC1. Role of bioinformaticsC6. ModelsReviewed at NIBLSEagent based modleing

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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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    Helping Students to Overcome STUMPS: Scientific terms undermined by meanings peripheral to science
    Many terms and phrases that are ubiquitous in everyday use have very different meanings in science. As a result, biology students often hold prior conceptions that are difficult to change. In this...

    Keywords: Evolutionfitnessprocess of sciencetree of lifemetacognitionlanguagemisconceptionsTerminologyTheory

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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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    Teaching the Biological Relevance of Chemical Kinetics Using Cold-Blooded Animal Biology
    This lesson plan was created to support non-chemistry major students in making connections between chemical kinetics and biological systems. Chemical kinetics is often viewed by students as an...

    Keywords: kineticsMetabolismEctothermPoikilotherm

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    1-087-ThanosPopulationDynamics-ModelingScenario
    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this...

    Keywords: logisticexponentialpopulationThanos

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    3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario
    Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?

    Keywords: species interactionspredator-preycompetitionLotka-Volterrasensitivity analysisdynamicspopulation

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    Using gross parasites to sneak even grosser equations into the introductory biology classroom
    This was an oral presentation at the 2015 Annual Meeting of the American Society of Parasitologists in Omaha, NE.

    Keywords: ParasitologyAmerican Society for Parasitologists

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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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    2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
    The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.

    Keywords: adaptive copingReservoirsNotre Dame Longitudinal Study on Agingoutputinput distributionstressorscoping resources

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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.

    Keywords: Biomathematicspharmacokinetics

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