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    Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations
    This Excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations.

    Keywords: survivalpopulation ecologyfecundityLeslie matrixeigenvalueseigenvectorsLefkovitch matrixage-class structured populationsstage-class structured populationsreproductive value

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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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    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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    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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    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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    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 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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    Balancing Chemical Equations Using Matrix Algebra
    This Excel workbook introduces using matrix algebra to balance chemical reactions. The workbook allows the user to set up their own matrices for chemical reactions involving 2-7 elements.

    Keywords: chemical reactionsInverse matrix methodmatrix algebra

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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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    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

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

    Keywords: labsDiscrete Difference Equationsmatrix modelscoursebiomath coursedemonstrationin-class activitylab protocolproblem set

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    6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A

    Keywords: algaepopulationMexicoqualitativecompartmentlinearizationJacobianlaknondimensionalizationpplane

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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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    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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    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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    Evaluating Local Adaptation and Conservation with Life Tables
    This module contains a sequence of activities designed for an undergraduate ecology lesson on stage-structured population models or life tables that use published data. Two versions are provided:...

    Keywords: ecologypopulation modelmatrix modelsclimate changelife cyclessensitivity analysispopulation ecologylife tablestage-structured modelsnet reproductive rateconservation planning

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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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    Sequence Similarity: An inquiry based and "under the hood" approach for incorporating molecular sequence alignment in introductory undergraduate biology courses
    Introductory bioinformatics exercises often walk students through the use of computational tools, but often provide little understanding of what a computational tool does "under the...

    Keywords: BLASTmultiple sequence alignmentsequence similarityphylogramZika virusAlgorithmScoring Matrix

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