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    1-073-WaterExitBottle-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.

    Keywords: datawaterflowTorricelli's Lawbottle

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    AVIDA exercise on the role of mutation in evolution
    A tested exercise at the college freshmen level using AVIDA-Ed to generate and test a hypothesis about the relationship between mutation rate and the probability of evolving a useful function in...
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    Luria-Delbruck
    These two workbooks model the evolution of phage resistance in a bacterial population under two alternative hypotheses.

    Keywords: ExcelphageResources @ ESTEEMLuria-Delbruckresistance

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    The Chi-Square Test
    This module introduces how to determine whether observation is significantly different from expectation in the context of understanding Chi-square Test. It is intended for an introductory biology...

    Keywords: ProbabilityProbability & StatisticsGenetics and EvolutionStatistical Testing

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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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    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental...

    Keywords: dynamical systemschemical reactionreaction networkmass action

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    2008-Ribbing-EtAl-Mathematical models of diabetes progression
    Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the

    Keywords: physiologyclinical trialsdiabetesdiabetes progression

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    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

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    1981-Geoffrey_Berresford-Differential Equations and Root Cellars
    This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass...

    Keywords: temperaturethermal conductivityheat flowthermal diffusivityroot cellar

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    2011-Richard_Fitzpatrick-Newtonian_Dynamics
    This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of...

    Keywords: modelingtextbookphysicsbifurcation

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    1-074-BottleWaterFlow-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow.

    Keywords: bwaterTorricelli's Lawbottle

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    Grassy Narrows and Muskrat Falls Dam: The Central Limit Theorem and a t-test
    Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsSolving Equations and InequalitiesConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Learn Biological Sciences and Mathematics through cellular respiration, photosynthesis and primary productivity.
    Photosynthesis is a process by which plants synthesize glucose and oxygen in presence of sunlight through light dependent reactions by utilization of sunlight, water to synthesize oxygen, ATP and...

    Keywords: mathematicssimulationThe Analysis of Biological DataMetabolic Pathwaysprocess of sciencephotosynthesisqbccBiological ScienceshypothesisCellular Respirationprimary productivity

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    Population Demography in Swirl
    The students will learn to generate, test, and graphically represent basic hypotheses on data distributions using large datasets.

    Keywords: ecologyPopulation statisticslife history curves

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    Avida-ED Experimental Evolution Project
    Outline to a research project based on Avida-ED's digital organisms
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    Exaggerated Traits and Breeding Success in Widowbirds
    Teaching Notes on the Exaggerated Traits and Breeding Success in Widowbirds

    Keywords: Evolutionexperimental designsexual dimorphismsexual selectionNatural SelectionWidowbirdsbirdintrasexual selectionintersexual selectionhandicap hypothesis

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    Mapping New Discoveries: iNaturalist and Biodiversity Data
    Meet Lauren Esposito, the Curator of Arachnology at the California Academy of Sciences. Learn how they use community science to inform new species discovery.

    Keywords: endangered species#iNaturalistBiodiversity data usage

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    GSD QUBES Resource Draft (1)
    This QUBES module is focused towards AP Environmental studies courses. It includes hypothesis testing, transect sampling, Shannon Diversity Index, and scatter plot and bar graph creation in excel.

    Keywords: Community EcologyField researchspidersMicrosoft ExcelShannon diversity index

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    Presence of Vegetation in Relation to Slope in Yosemite Valley, California
    Here we examine the relationship between the slope of a terrain and vegetation, measured by NDVI levels. I used satellite data from Yosemite Valley to analyze and test for statistical...

    Keywords: vegetation

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    Basic Statistics
    The students will practice identifying the appropriate basic statistical tests when given a scenario and learn how to run and interpret those statistical tests in R.
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