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    1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
    First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle...

    Keywords: sensitivitychaosparametersRespirationdelayblood cells

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    2012-Bech-EtAl-Resources For Engineering Applications Of Math
    Illustrations of applied mathematics including statics, truss, heat equation, column analysis, coupled oscillators, feedback control, AC circuit, chemical reactions, kinetics.

    Keywords: kineticsheat equationcolumn analysiscoupled oscillatorsfeedback controlAC circuitchemical reactions

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    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of...

    Keywords: population growthcontrolferal catspopulation controlneutertrap-killtrap-neuter-return

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    5-007-ChemOpt-ModelingScenario
    Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

    Keywords: optimizationpYield and sustainabilitynonprofit managementLaw of Mass Actionkineticreaction

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    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.

    Keywords: experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates

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    2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
    The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.

    Keywords: fisheriesEuler's methodnonlinearlogistic harvestingcanabalismsalmon

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    2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
    We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.

    Keywords: impulseGreen functionsinstructional exposition

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    1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
    The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid...

    Keywords: steady-state modelisoclinesenzyme kinetics

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    The Hidden Kingdom: Island Biogeography with Fungi
    In this activity, students will explore a dataset of fungi dispersal capabilities and colonizing success to test the predictions of island biogeography theory.

    Keywords: Island biogeographyfungi

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    Evolution in Darwin's Finches: Using Darwin's Theory of Evolution by Natural Selection postulates to evaluate evidence of evolution
    Students evaluate evidence for evolution of Darwin's finches using authentic research data sets collected by Peter and Rosemary Grant.
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    Choose Your Own Adventure: Control a Wildlife Disease Epidemic
    This educational game allows teams of students to try to control a simulated epidemic in United States snake populations using their epidemiological and ecological knowledge. It combines a "choose...

    Keywords: educational game

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    Pollinator Monitoring: Timed Pollinator Count Guide
    The Pollinator Monitoring: Timed Pollinator Count Guide aims to enhance understanding of pollinator diversity and the plants that support them. This guide empowers community scientists to...

    Keywords: surveyPlant-insect interactions#iNaturalistinsectsBLUEpollinators

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    2012-Ogunrinde-Sunday-On some models based on second order differential equation
    This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum...

    Keywords: species interactionpricing policyoptimal inventory

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    1-047a-CondensationOptimization-ModelingScenario
    We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...

    Keywords: simulationdataoptimizationenergycondensationbest fitcostsum of scquare errors

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    Sickle Cell Disease and Natural Selection in Humans
    A short film explores the evolutionary connection between an infectious disease, malaria, and a genetic condition, sickle cell anemia. The animation explores the genetic causes and biological...

    Keywords: HHMI BioInteractive

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    Cell Division and the Presence of a Growth Factor
    This module introduces exponential growth, the Michaelis-Menten, and Lineweaver-Burk equations in the context of understanding how growth factors influence cell division. It is intended for an...

    Keywords: exponential equationshyperbolic equationsCell StructureCell Growthgrowth factor

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    Amino Acid Frequency
    This module introduces expected frequencies in the context of understanding amino acid composition. It is intended for an introductory biology audience.

    Keywords: Probabilitylinear regressionamino acidsOpenStaxGenetic InformationAminoAmino Acid Freuency

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    2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
    We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.

    Keywords: sociologyarms racesaccumulative advantagealcoholismPeter Principlefemale mortalitypopulation pressureoccupational mobilitysocial mobilityRichardson theory of war

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    The Evolution of Color Vision in Monkeys: From Nucleotides to Ecology
    This case study examines the evolution color vision in Old World and New World monkeys from multiple biological perspectives.

    Keywords: phylogeneticsgenescase studybiologyResources @ NSF - NCCSTSColor visiondichromatictrichromaticnucleotidesproteinsopsinscell functioncone cellsphotoreceptorsspectral shiftgene duplicationmeiosissex-linkedfood gatheringmonkeysprimatesResources @ QUBES - Teaching & Referenceundergraduate biology education

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    2000-Idels-Wang-Harvesting Fisheries Management Strategies With Modified Effort Function
    This study concludes that a control parameter beta (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes...

    Keywords: sustainabilityfishFishingmanagementharvestfisherstrategyoverfishing

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