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    2017-Helen-Byrne-Further Mathematics Biology
    These studies will be in the context of ecological, biological and biochemical applications.

    Keywords: epidemicschemotaxisenzyme-substrateion channelsnerve pulsesgene proagationtumour

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

    Keywords: Individual & Agent Based Modelingpredator-preythink-pair-shareslynxrefugeprey switchingMustela-Clethrionomys systempatter oriented

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    1996-D_Erdman-MM_Morelock-A Study of Kinetics
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: simulationkineticsparameter estimationEnzymesubstratesavingscompartmentstomachbloodginseng

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    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

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    5-005-StiffDifferentialEquations-TechniqueNarrative
    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may...

    Keywords: Euler's methodexplicit methodsimplicit methodsstiffsitffnessstiff differential equationinstability

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    Biometeorology of Asthma in South Florida: From Statistical Analysis to Mathematical Modeling
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: data analysisdynamical systemsmathematical modelingsynchronizationasthmaimmune systemcomplex systemsfeedback loopsself-organized criticalitychaos

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    2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
    The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.

    Keywords: differential equationsmodelingtextbook

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    2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
    We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.

    Keywords: population dynamics

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    Concept mapping exercise for ecological news story and peer feedback
    This activity is designed for small groups to work together in class to create a concept map based upon an ecological news story. Any short news story can be selected. One is provided here, along...

    Keywords: ecologysystems thinkingconcept mappingpeer feedbackin-class exercise

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    Aquatic Nutrient Levels and Climate Change
    This learning module was designed to introduce students to the aquatic nutrients nitrogen and phosphorus, their roles in ecosystem function and nutrient pollution, and what impacts climate change...

    Keywords: climate changenitrogenwater resourcesfreshwater systemsEutrophicationwater qualitynutrient pollutionphosphorusdischargeTMDL

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    Natural Hazards and Risks: Hurricanes
    Making the difficult decision to evacuate before a hurricane makes landfall can save lives and property. This two week module explores how hurricanes connect the ocean-atmosphere-terrestrial...

    Keywords: sustainabilityearth scienceOceanographyenvironmental scienceglobal changenatural hazardsatmospheric scienceResources @ InTeGrate

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    Sorry to Eat and Run: A Lesson Plan for Testing Trade-off in Squirrel Behavior Using Giving Up Densities (GUDs)
    All animals need to find and compete for food, shelter, and mates in order to survive and reproduce. They also need to avoid being eaten by predators. Optimal foraging theory provides a framework...

    Keywords: ecologyanimal behaviorAnimal form and functionAnimal nutritionSquirrel-Net

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    An Active Textbook Converts "Vision and Tweak" to Vision and Change
    Multiple reports over more than a century have documented the problems with the way introductory biology has been taught in most colleges and universities. An influential recent report, Vision and...

    Keywords: Vision and Changeactive learningintroductory biologyFlipped classroomUndergraduatecore competenciescore conceptsactive textbookcurriculum reform

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    Learning the Landscape: An Active and Applied Lesson on Landscape Ecology for General Ecology Courses
    Landscape ecology is an important subtopic of ecology. As a field, it is inherently interdisciplinary and provides opportunities to teach not only content, but transferable ecological and...

    Keywords: landscape ecologyspatial scaleecosystem managementHabitat fragmentation

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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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    3-091-SpringModeling-ModelingScenario
    In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.

    Keywords: datalaboratoryLoggerProVerniermass-spring systemmodel validationempirical modeltheoretical model

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    3D FractaL-Tree
    3D FractaL-Tree allows scientists to collect data from actual specimens in the field or laboratory, insert these measurements into a spatially explicit L-system package, and then visually compare...

    Keywords: fractalsL-systems

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    THE IMPORTANCE OF GREEN SPACES & NATIVE PLANTS TO URBAN AVIFAUNA: A Lesson on how urban residential yards can support birds during their annual cycle
    In this lesson students will learn about the impacts of urbanization, and the conservation challenges it poses to wildlife, in particular avifauna. Introductory ecology topics such as the theory of...

    Keywords: birdsurbanizationPoisson Distributionnative plantsGeneralized linear models

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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