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    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...

    Keywords: matrix esponentialPutzer's Algorithmdiagonalizationeigenvalueseigenvectors

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    An introduction to population matrix models: a swirl lesson
    Students will learn how to set up a population matrix model in R and use it for demographic analysis of a population, including projecting population growth, determining lambda and the stable age...

    Keywords: population dynamicsRpopulation growthonlinedemographypopulation projection modelquantitative biologypopulation modelmatrix modelspopulation ecologyage structurepopulation biologypopulation modelingSwirlDemographic processespopulationLeslie matrix

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    Constructing Phylogenies using Herbarium Specimens
    This lab is intended as an introduction to a plant systematics course. Students work in groups of two to apply what they have learned about plant structures to develop a character matrix based on a...

    Keywords: botanyphylogenyherbariumdistance learningPlant systematicscharacter matrix

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    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...

    Keywords: Prandtl-Blasius equationsboundary layergas injectionesponential box schemeuniform convergenceFORTRAN

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    Exploring Primary Scientific Literature through the Lens of the 5 Core Concepts of Biology
    Biology students at the undergraduate level usually excel in knowing biological facts; however, they often struggle with connecting these facts to specific biological principles. In parallel,...

    Keywords: 5 core conceptsconnecting facts to principlesreading primary scientific literature

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    Sequence Similarity: Introducing Biological Databases to Community College Biology Students
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsincubatorsBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogramZika virus

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    Sequence Similarity: An inquiry based and "under the hood" approach for incorporating molecular sequence alignment in introductory undergraduate biology courses
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsincubatorsBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogramZika virus

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    2013-Antonin_Slavik-Mixing Problems with Many Tanks
    Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.

    Keywords: lineartankmixingcircularcascading

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    Sequence Similarity: A Quick Introduction to Bioconductor
    Following the Sequence Similarity exercises by Kleinschmit, et al., this tutorial will guide students in using the Bioconductor suite of R packages to likewise compute sequence similarity.

    Keywords: bioinformaticssequencingNIBLSEmultiple sequence alignmentsequence similarityBLOSUM scoring matrixBioconductor

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    Performing a Population Viability Analysis from Data Students Collect on a Local Plant
    Experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 9

    Keywords: RResources @ ESA - TIEEmatrix model

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    2020-Chen_Et_Al-MathModel_Simulation_Phase-Based_Transmissability_Corona_Virus
    In this study, we developed a Bats-Hosts-Reservoir-People transmission network model for simulating the potential transmission from the infection source (probably be bats) to the human infection.

    Keywords: basic reproduction numbercoronavirusnext generation matrixtransmissibilitynovel coronavirus

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    Using Online Materials/Videos to Enrich Linear Algebra for Scientists
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: courselinear algebrabiology majors

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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    2017-GR_Gustafson-Differential Equations Course Materials
    There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium,...

    Keywords: chemostatmicrobesbiomassforecastingtransfercompartmentpesticidesearthquaketankheatinglidocainebrineheartbeatsnutrient flowaquariumelectric networkscircuitsloggingbuildingcascade

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    Discrete Math Modeling with Biological Applications (Course Materials)
    These are the materials for Math 214 offered at Rhodes College.

    Keywords: labsagent-based modelingDiscrete Difference Equationsmatrix modelscoursebiomath coursedemonstrationin-class activitylab protocolproblem set

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    Data from: Advancing population ecology with integral projection models: a practical guide
    Review important resources for building IPMs and provide a comprehensive guide, with extensive R code, for their construction.

    Keywords: IPMintegral projection modelsdemographyelasticitylife historymatrix projection modelpopulation growth ratepopulation projection modelsensitivitystage structurevital ratesResources @ DryadResources @ QUBES - Data

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    Advancing population ecology with integral projection models: a practical guide
    Integral projection models (IPMs) use information on how an individual's state influences its vital rates – survival, growth and reproduction – to make population projections using regression...

    Keywords: IPMintegral projection modelspopulation growthreviewsdemographyelasticitylife historymatrix projection modelpopulation growth ratesensitivitystage structurevital ratesregressionResources @ QUBES - Teaching & Referencecovariatesanalytics

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    Using a Primary Cell Culture Model to Study the Neural Extracellular Matrix
    The extracellular matrix (ECM) provides structural support to cells, but also has key roles in mediating cell adhesion, cell signaling, and differentiation. While this topic is discussed in the...

    Keywords: Neural extracellular matrixPerineuronal netPrimary neuronal culture

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    Developing a phylogram from computational resources.
    This laboratory module, published on CourseSource, leads introductory biology students in the exploration of a basic set of bioinformatics concepts and tools.

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBINIBLSEalgorithmsBLASTmultiple sequence alignmentsequence similarityneighbor-joining distance matrixCourseSourcephylogrampercent identity matrix

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    Bioinformatics: Investigating Sequence Similarity - A Plant Biology Approach
    This laboratory module is a modification of the original published on CourseSource with a focus on plant biology. In the final activity, students conduct a BLAST to compare histone protein...

    Keywords: phylogeneticsbioinformaticssequencingFASTANCBIplant biologyNIBLSEalgorithmsincubatorsPlant and Fungal EvolutionBLASTmultiple sequence alignmentsequence similarityBLOSUM scoring matrixneighbor-joining distance matrixCourseSourcephylogram

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