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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

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    2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
    This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth....

    Keywords: population dynamicsexponentiallogistic equationBarnacle Geese

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    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

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    The nose knows: How tri-trophic interactions and natural history shape bird foraging behavior. An introduction to statistical analysis in animal behavior research
    Students investigate the role of olfaction and infochemicals on bird foraging behavior through two different quantitative activities where they generate hypotheses, create figures, conduct data...

    Keywords: Resources @ ESA - TIEEforagingfmnanimal behaviorbehavioral ecologyDIGtrophic cascades

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    2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
    In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.

    Keywords: SASsuperpositionpharmacokineticscompartmental modelsmultiple dose

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    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

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    A Framework for Teaching Modeling to Biologists
    Abstract for presentation at SIAM ED 2016 on modeling

    Keywords: modelingSIAM

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    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,

    Keywords: biologyMathematical Biologytextbooktext

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    Biogeography of Hantavirus Hosts
    Using QGIS, this module introduces students to zoonotic pathogens, host biogeography, the "One Health" concept, forming hypothesis, and natural history museums within the Hantavirus system.

    Keywords: human-environmental interactionsmammalsbiogeographyhypothesis formulationdigitized natural history collectionshuman healthQGISzoonotic diseasesone healthrodentsPathogens

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    Mammal Bones & Homologies
    Short activity for a laboratory covering mammal skulls, teeth, bones, dichotomous keys, and homologies (using Blackburn lab Sketchfab). Included in the package is a document for teaching...
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    Hemoglobin Evolution
    This module introduces equations describing blood viscosity and oxygen transport in the context of understanding the evolution of red blood cells. It is intended for an introductory biology audience.

    Keywords: calculushyperbolic equationsAnimal Physiologyparabolic equationsmaxima

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    Lung Capacity and Rhythms in Breathing
    This module introduces rhythmic inhaling and exhaling in the context of understanding trigonometry and sine waves. It is intended for an introductory biology audience.

    Keywords: Trigonometrysine wavesAnimal Physiology

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    Tension in Blood Vessels: LaPlace's Equation
    This module introduces Laplace's equation in the context of understanding tension in the walls of blood vessels. It is intended for an introductory biology audience.

    Keywords: linear equationsOpenStaxAnimal Physiology

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    Oxygen Diffusion in Simple Organisms
    This module introduces equations related to oxygen diffusion in the context of understanding the relationship between oxygen needs and metabolism. It is intended for an introductory biology audience.

    Keywords: linear equationsOpenStaxAnimal Physiologyparabolic equations

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    Sperm Motility
    This module introduces equations related to oxygen diffusion in the context of understanding the relationship between oxygen needs and metabolism. It is intended for an introductory biology audience.

    Keywords: OpenStaxAnimal Physiologyparabolic equationssquare root

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    Investigating the footprint of climate change on phenology and ecological interactions in north-central North America
    This is an FMN participant modification of the TIEE module "Investigating the footprint of climate change on phenology and ecological interactions in north-central North America,"...

    Keywords: ecologyfmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelAdvancedActivity LengthLess than 1 hour

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    A Scientist Spotlight Featuring Dr. Danielle Brown
    A Scientist Spotlight-style assignment designed to introduce students to themes of quantitative biology, field research, and diversity, equity, and inclusion in science. Includes Teaching Notes,...

    Keywords: animal behavioranimal movementscientist spotlightsTamanduaAccelerometersKCTCS

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    Movement: Nature's Flying Machines
    In this lab, you will explore the physics of flight, the adaptations that make powered flight possible, and the evolution of powered flight in vertebrates and invertebrates.

    Keywords: citizen sciencequantitative skillsDigital RepositoryFlight

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    1-104A-T-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual...

    Keywords: regressioninfectionCOVID19carrying capacitylogistic equationexponential model

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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.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

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