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    Visualization: Quantitative reasoning via image analysis, networks, topology, generative models, and 3D rendering
    Resource from the 2015 BioQUEST Summer Workshop
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    1994-M_Yamaguti-Discrete Models in Social Sciences
    Also, a finite difference model in sociology is given as a chaotic phenomenon.

    Keywords: economicschaossociologydiscretediscretization

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    1986-Cook-Witten-One-dimensional linear and logistic harvesting models
    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.

    Keywords: logisticcontinuouspopulationlineardiscreteharvestinbg

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    2022-Kalman-Improved Approaches Discrete Continuous Logistic Equation
    In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely...

    Keywords: logisticcontinuousSpreadsheetPrecalculusdiscrete

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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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    A first lesson in mathematical modeling for biologists: Rocs
    Using a fictitious population of Rocs, a mythical species of giant raptor, students accomplish two broad objectives: 1) they undertake the process of building a first mathematical model of a...

    Keywords: population ecologypopulation modelingdiscrete generationpopulation management

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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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    Furry with a chance of evolution: Exploring genetic drift with tuco-tucos
    Genetic drift is an important mechanism of evolution, yet undergraduates often fail to understand how it leads to evolutionary change due in part to its random nature. This lesson plan describes a...

    Keywords: EvolutionGenetic DriftBottle neckFounder effectRandom evolutionary processes

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    1-004-MicroorganismImmigration-ModelingScenario
    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

    Keywords: continuousimmigrationpopulationdeathdiscrete

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    Modeling Crop Rotation with Discrete Mathematics
    The module develops discrete mathematics models that allow for creation of crop rotation schedules meeting a variety of needs.

    Keywords: modulesustainabilitydiscrete mathematicsagricultureResources @ DIMACSResources @ QUBES - Teaching & Referencescienceexperiment

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    2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
    The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear...

    Keywords: chemical kineticsMichaelis-Menten kineticsanaerobic digestionacidogenic stepsbananamethanogenic stepswastes

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    2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
    We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache...

    Keywords: discretecachecache calculus

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    2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay 
    Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time...

    Keywords: virusT cellsHopf bifurcationendemic equilibrium

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    2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems
    We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course.

    Keywords: differential equationsmathematical modeldifference equationcross courseconvert

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    Curvature and Maximum Permissible Speeds
    In this activity students will compute the curvature of a section of commuter rail and use it to determine a safe speed at which a train should can round the corner without tipping or derailing....

    Keywords: data analysiscalculusnumerical approximationengineeringcalculus 3transportation

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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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    1-006-Financing-ModelingScenario
    We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation...

    Keywords: financesavingsloaninterest ratepayment

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    Breaking It Down: What Factors Control Microbial Decomposition Rates?
    Demonstrating and modeling changes in ecosystem processes in the laboratory classroom can be logistically difficult and expensive. This complexity often leaves little time for students to generate...

    Keywords: data analysishypothesis testingdata visualizationdata managementMicrobial RespirationDecompostionAbiotic ConditionsResults Communication

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    REMNet: Introduction To Instructors 5.3.19
    Video on incorporating microbiome sequencing into biology education from the Research Experiences in Microbiomes Network

    Keywords: VideomicrobiomesREMNetmicrobiome sequencing

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    IQS 2.0: A Modularized Integrated Math and Science Course
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: coursefirst-year

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