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    Theory, models and biology
    Theoretical ideas have a rich history in many areas of biology, and new theories and mathematical models have much to offer in the future.

    Keywords: researchmathematical modelingtheoretical biologyResources @ QUBES - Teaching & Reference

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    Fish, forests, and phosphorus: How do tropical fish, rainforest canopies, and volcanic groundwater inputs affect stream phosphorus cycling?
    Rainforest stream nutrient concentrations vary with groundwater source, and different stream fish species feed on aquatic and/or terrestrial prey. Explore how phosphorus cycling changes with stream...

    Keywords: nutrient cyclesBiogeochemistrykeystone speciesfood webFunctional Diversity

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    Cold blood and wet skin in hot and dry secondary forests. How do amphibian traits determine persistence in secondary forests?
    Students will synthesize information from biological and physiological traits of amphibians and characteristics of secondary forests in the tropics to form hypotheses about persistence of...

    Keywords: life historyconservation biologyphysiological ecologyamphibianland use changeEctothermsecondary foresttrait-based ecology

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    1971-Boyes-Scott-Jebson-Godman-Julian-Lidocaine in Man
    Plasma levels of lidocaine were measured in 5 normal male volunteers following both intravenous and oral administration of the drug.

    Keywords: pPharmacologypharmacokineticslidocaine

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    1-126-MarriageMath-ModelingScenario
    We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along...

    Keywords: marriageGompertz function

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    The Potential of Natural History Collections in Educating the 21st Century Scientist and Citizen
    Presentation at the 5th Life Discovery Conference on natural history collections

    Keywords: natural historynatural history collections5th Life Discovery Conference

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    Plant-microbial mutualisms in canopy gap recovery: How do soil microbial symbionts help tropical forests recover from treefall gaps?
    This module uses tropical plant-soil microbial interactions in canopy gaps as a lens to better understand species interactions and disturbance ecology, while showing how scientists study these...

    Keywords: forest ecologyPlant Ecologynutrient cyclingmicrobestropical forestsDisturbances

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    1-046-GoingViral-ModelingScenario
    Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire...

    Keywords: simulationmathematical modeldatalogisticrandom number generatorfittingrandom process

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    6-022-CannibalismPredatorPrey-ModelingScenario
    The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when...

    Keywords: stabilitypredator-preyequilibriaoscillationscannibalismphase planesspiral sinks

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    6-068-VisualizingPredator-PreyCycles
    In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

    Keywords: nullclinespredator-preyGeometrypredatorRunge-Kuttapreylimit cycle

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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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    STEM as Culture: Exploring exclusion and inclusion in mathematics and biology
    This is a paper given as a plenary lecture at the second CalcConf in Bergen, Norway, June 2023. The paper explores how marginalization in society & living between worlds becomes a superpower in...

    Keywords: calculusbiocalculusrule of fivemarine biologyco2Microagressionsmauna keamauna loafeministtestimonioindigenous epistomologyanzalduagutierrezdisciplinary microaggressions

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    2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
    This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.

    Keywords: stage structurepredatorpreybifurcationswitching

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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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    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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    2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments
    In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential...

    Keywords: optimizationBiochemistrysensitivity analysischromatographymass actioncluster analysisconservation lawsdimerizationestrogen receptor protein

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    2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
    This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.

    Keywords: absorptioncompartmentbloodstreamplasmapharmacokineticsdrugpharmacodynamics

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    2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
    We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and...

    Keywords: natural resourcesmarine resourcesfishery model

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    2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
    This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.

    Keywords: absorptioncompartmentbloodstreamplasmapharmacokineticspharmacodynamicstherapeutic concentration rangedrug dispositiondrug response

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