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    What is Speciation, How Does It Occur, and Why Is It Important for Conservation?
    Speciation provides a framework for classifying biodiversity on Earth and is a central concept in evolutionary biology. To help undergraduate students learn about speciation, we designed a...

    Keywords: EvolutionconservationGenetic DriftSpeciationNatural SelectionBiological species conceptgene flowMorphological species conceptPhylogenetic species concept

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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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    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

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    2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
    This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.

    Keywords: predator-preyharvestingPontryagin’s maximum principlebioeconomicbionomic equilibriumbiotechnical productivitycatch-rate functionoptimal equilibrium

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    2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

    Keywords: Individual & Agent Based Modelingpredator-preythink-pair-shareslynxrefugeprey switchingMustela-Clethrionomys systempatter oriented

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    Antigen presentation and cytotoxic T lymphocytes (CTLs): elucidating a common roadblock for students
    Active learning resource for pre-Nursing anatomy and physiology lecture explaining antigen presentation to CTLs and how the CTLs recognize and destroy the pathogen using Biointeractive animations...

    Keywords: Resources @ HHMI - BioInteractiveimmune systemAnatomy & PhysiologyCell communication

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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    R for biologists
    An introductory guide to data analysis in R for life sciences researchers.

    Keywords: R

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    Expanding the Reach of Crop Plants for Food Security: A Lesson Integrating Non-Majors Students Into the Discussion of Food Diversity and Human Nutrition
    University general education (GE) courses host students with various academic backgrounds, interests, and perspectives. Engaging students in GE classes with agricultural issues can be challenging...

    Keywords: cereal graincrop diversitycrop yieldglobal food systemhuman nutritionnutrient qualitypseudocereal grainstaple cropunderutilized crop

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    Revealing Hidden Figures in Natural History Collections Working Group 2023 Update!
    Our 2023 BIOME Lightning Presentation sharing updates from the Hidden Figures Working Group including the first two published modules!

    Keywords: social justicenatural history collectionshidden figuresbiome23biome2023

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    Grow the Gradient: An interactive countercurrent multiplier game
    The countercurrent multiplier of the loop of Henle in a mammalian kidney is a challenging concept for instructors to teach and for students to learn. We developed an interactive game to support...

    Keywords: countercurrent multiplierexcretory systemkidneyloop of Henlemembrane transport

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    Your Tax Dollars at Work: A mock grant writing experience centered on scientific process skills
    A successful scientist combines skill, creativity, and the art of persuasion to excel in his or her field of study. Critically important for the professional scientist is the ability to not only...

    Keywords: researchexperimental designprocess of sciencePeer reviewgrant writingPecha Kuchaproposal

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    2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
    Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.

    Keywords: extinctionCoevolutionpredatorLotka Volterra equationspre

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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

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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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    2014-Rogert_Smith-Mathematical Modeling of Zombies
    Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.

    Keywords: kineticsZombiezombificationinteraction times

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    2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
    A simple method for estimation of parameters in first order systems with time delays is presented in this paper.

    Keywords: delaytime delystep response

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    1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
    The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three...

    Keywords: combat modelguerrilla warfaregovernment

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    7-011-CoupledSystemLaplace-ModelingScenario
    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.

    Keywords: transfer functionpolycarbonatebaby heatercoupled systemheating

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    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...

    Keywords: Probabilitypopulation dynamicsVarianceMeanstochasticdeterministic

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