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    Discrete Modeling and Structures (Course Materials)
    These are the materials for DCS course offered at Bates College. This is a sampler of structures and ways they are used to model biological and social phenomena.

    Keywords: labsagent-based modelingoctavematlabDiscrete Difference Equationsmatrix modelscoursezombiesbiomath courseeconomicsdemonstrationin-class activitylab protocolproblem sethamlet

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    Addressing Complex, Emergent Risks in 21st Century Natural-Human Systems
    Presentation on wicked problems in natural-human systems

    Keywords: climate changeSummer Workshop 2018environmental systemsfinancial risksystem of systems

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    Demography from physical cemeteries, "virtual cemeteries," and census data
    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 8

    Keywords: Resources @ ESA - TIEEdemographysurvivorshiplife tables

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    Integrating Natural History Collections into Undergraduate Education: Creating the Resources and Growing the Community
    Presentation given at SPNHC

    Keywords: idigbio

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    Wind and Ocean Ecosystems (Project EDDIE)
    This module introduces students to the concepts of Ekman transport, eastern boundary currents, and upwelling, while learning how to find a location on a map using latitude and longitude, how to...
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    Implementing an online module about acoustic biodiversity monitoring in the tropics for use in an undergraduate course
    This implementation plan for an online module organizes activities for understanding physical concepts and biological considerations regarding acoustic monitoring, and provides a Spanish version of...

    Keywords: Biodiversityconservation biologyTropical ecologyacoustic monitoring

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    2011-Teleken-EtAl-Mathematical modeling of microbial growth in milk
    A mathematical model to predict microbial growth in milk was developed and analyzed. The model consists of a system of two differential equations of first order. The equations are based on physical...

    Keywords: bacteriadairymilkfood safetymicrobilogy

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    1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
    With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.

    Keywords: circuitTorricelli's LawHooke's LawRC circuitharmonic oscillatorglucoseglucose tolerance test

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    Distributions CURE- Exploring Species Distribution Changes and their Drivers
    This course-based undergraduate research experience (CURE) uses digitized natural history collections data to answer questions about species distributions and their drivers. This inclusive CURE can...

    Keywords: Evolutionecologyidigbiodata management#iNaturalistcourse based undergraduate research experienceshuman impactsspecies distributionscourse-based research experiences (CUREs)digitized natural history collectionsGBIFQGISBCEENETgeoreferencing

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    5-090-SolidParticleErosion-ModelingScenario
    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges...

    Keywords: classical mechanicssolid mechanicsNewton's Laws of Motionrigid bodyplasticitypittingductile surface

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    Field Safety: Right To Know Documents for Building Inclusive Field Teams
    This module discusses mental and physical aspects of field safety. The module contains resources for supporting students and technicians in the field and guides supervisors as they write their own...

    Keywords: ecologydeidiversity equity and inclusionfield workfield safety

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    3-100-Ripcord-Toys-ModelingScenario
    This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct...

    Keywords: dataphysicsdynamicsdata collectionrollingslippingripcordtoy

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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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    2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
    Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.

    Keywords: cancertumor modelingangiogenesistumor growthpatient care

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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    9-125-BeamModeling-ModelingScenario
    This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam...

    Keywords: Fluid MechanicsbeamcantileverimpulseLaplace transformboundary conditionfourth order

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    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

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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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    Hypoxia: A Case Study in R
    Aquatic ecosystems are home to a complex intersection of physical and biological factors and an intersection of natural and anthropogenic factors. In the Chesapeake Bay, low oxygen events have...

    Keywords: data analysisOceanographyProject EDDIE

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    1-059-ContainerShapeFallingWater-ModelingScenario
    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the...

    Keywords: containersTorricelli's Lawshapedischarge coefficient

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