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    6-065-InternetPlatformUsers-ModelingScenario
    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical...

    Keywords: dynamicsflowconservedfixed pointscycletinternet platformdiverghenceJacobianattractingrepellingnodesstablesaddlespiral

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    Scientific Literacy Re-visioned Workshop at NABT 2023
    This material was part of the “Scientific Literacy Re-visioned” presentation at the National Association of Biology Teachers (NABT) 2023 Conference in Baltimore MD. In this workshop participants...

    Keywords: Liberal Art of Science

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    2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
    The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable...

    Keywords: FishingharvestNash equilibriumoptimizeprofits

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    2016-Barbarossa-Kuttler-Mathematical Modeling of Bacteria Communication in Continuous Cultures
    This paper presents a simple system of delay differential equations (DDEs) for quorum sensing of Pseudomonas putida with one positive feedback plus one (delayed) negative feedback mechanism.

    Keywords: gene regulatory networkschemostatbifurcationNumerical Simulationquorum sensing

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    1999-Meade-Struthers-Differential Equations in the New Millennium-The Parachute Problem
    The parachute problem will be used to illustrate several essential features of the improved courses. In particular, it will be seen that the traditional version of the parachute problem is not very...

    Keywords: resistancefree fallparachutejumpskydiving

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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
    A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.

    Keywords: politicsparametersvotingcompartment modelepidemiological modelequilibriathree-party system

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    1-150-CancerTherapy-ModelingScenario
    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...

    Keywords: population dynamicsphage therapyexponential growthcancerwater treatmentdecaysurgery

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    2016-Rob_deBoer-Population Dynamics  A Graphical Approach
    This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.

    Keywords: mathematical modelstabilitycompetitionSIRbifurcationconsumptionpopulation population dynamicsgeneral replicationnonlinear density dependenciesfunctional responsepersistencephase plan analysis

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    50 Years of Data Science
    This paper reviews some ingredients of the current “Data Science moment”, including recent commentary about data science in the popular media, and about how/whether Data Science is really...

    Keywords: statisticsbig datadata sciencemachine learning

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    2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
    The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.

    Keywords: differential equationsmodelingtextbook

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    Using Musical Instruments to Model Negative Feedback in the Hypothalamo-Pituitary-Target Gland Axes
    Homeostasis and negative feedback are crucial, yet difficult, concepts for undergraduates, particularly in the context of the hypothalamo-pituitary axes. This interactive activity was designed to...

    Keywords: cell-cell communicationhomeostasisnegative feedback

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    The Great Petunia Carnage of 2017: A Clicker Case Study Using Petunias to Describe the Effect of Genetic Modification on the Biochemistry of Flower Color and Phenotype in Plants
    In this single class period case study, students examine the difference between genotype and phenotype by studying the mechanisms by which commercially available petunias have been bred to have...

    Keywords: case studyGenetic ModificationsBiochemistry of Flower ColorGMO regulationsGenotype-Phenotype Connections

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    Meiosis Remodeled: Inclusion of New Parts to Poppit Bead Models Enhances Understanding of Meiosis
    A long-standing tradition uses strings of poppit beads of different colors to model meiosis, especially to show how segments of paired homologous chromosomes are recombined. Our use of orthodontic...

    Keywords: meiosischiasma formationchromosome recombination

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    Data, Distributions, and Hypotheses: Exploring Diversity and Disturbance in the Tallgrass Prairie
    Proper hypothesis generation, data handling, graphing, and communication are essential skills that undergraduate majors in biology are expected to master. However, students rarely get hands-on...

    Keywords: Quantitative reasoningRestoration EcologyScience process skillstall grass prairie ecosystem

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    A flexible, multi-week approach to plant biology - How will plants respond to higher levels of CO2?
    To help introductory biology students understand how plants will respond to higher levels of CO2, we have created a multi-week module consisting of a series of four related laboratory lessons....

    Keywords: statisticsplantsphotosynthesiscarbon dioxidecommunicating sciencegroup workResource AllocationRespirationStomata

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    Exploring Indigenous Viewpoints in the Undergraduate Biology Classroom: An Environmental Case Study Incorporating Hawaiian Traditional Ecological Knowledge
    Changing science education to foster greater equity and inclusion for Indigenous students will require effort from instructors and institutions. Instructors can help by including Traditional...

    Keywords: ecologycase studyenvironmentsystems thinkingTraditional ecological knowledgeindigenous knowledgehawai'idecolonizing scienceNative knowledgeFish ponds

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    Go Extinct! An Award-Winning Evolution Game That Teaches Tree-Thinking as Students Pursue the Winning Strategy
    Evolutionary trees communicate both the diversity and unity of life, a central and important scientific concept, as highlighted by the Vision and Change undergraduate biology education movement....

    Keywords: phylogeneticsnatural historyBiodiversitycladogramCommon ancestorEvolutionary treeLand vertebratesMonophyletic cladeTetrapods

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    Application of a Bacterial Experimental Evolution System to Visualize and Teach Evolution in Action: A Course-Based Undergraduate Research Experience
    Concepts of evolution are typically taught through examples of extremely long timescales, which do not always resonate broadly. Here, we describe a course-based undergraduate research experience...

    Keywords: EvolutionmutationcompetitionNatural Selectionregulationstructure and functionreproductive fitnessgenotype to phenotypehomologs

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    Teaching Advanced Concepts in Regulation of the Lac Operon With Modeling and Simulation
    Success in biochemistry and other life science courses requires that students understand important biological concepts. One of these concepts is how gene regulation ensures that homeostasis is...

    Keywords: gene regulationinducible operonProkaryotic cellPhosphoenolpyruvate transferase system (PTS)

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