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    1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
    The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and...

    Keywords: mathematical modeldataLSDMetabolismbloodstreamlysergic acid diethylamidedistribution

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    3-069-HeatInBar-ModelingScenario
    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.

    Keywords: heat transferexperimentconductionconvectionboundary conditionsfinite volume method

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    Prosecutor’s Fallacy and Mammograms Case Study
    An introduction to Prosecutor’s Fallacy, and False Positives/Negatives. By Dr. Diaz Eaton, Bates College, for use in DCS 105A, and inspired by Calling Bull & Calculated Risks.

    Keywords: ProbabilityExcelcalling bullMammogramsData UnderstandingVisualizing Outcomes

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    Figure of the Day - Adapted for Non-Majors
    Students use their number sense to make observations and come up with reasonable guesses or explanations for the patterns shown.

    Keywords: graphsmath attitudesResources @ BIOMAAPInterpreting Graphs

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    2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
    This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.

    Keywords: knowledge diffusionstationary distributionsproductivity distributionreaction-diffusion equationsquasi-stationary distributions

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    2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
    We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.

    Keywords: Mosquito borne diseasespopulationsHolling-II-type mating ratestransgenic mosquitoesnonhyperbolic equilibriummosquitoes

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    1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
    Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an...

    Keywords: financesavingsgrowth fundinterestmortgageannuitydepreciation

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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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    Infectious Chocolate Joy with a Side of Poissonian Statistics: An activity connecting life science students with subtle physics concepts
    Lesson on what it means for biological processes to be Poissonian, published in CourseSource

    Keywords: quantitative biologybioinformaticsmicrobiologyphysicsNIBLSEHIVCourseSourcemultiplicity of infectionPoisson Distribution

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    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

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    DNA Barcoding & Biodiversity databases
    This resource pairs DNA barcoding databases with Biodiversity databases. Students collect their insect specimens in the field and use BLAST and BOLD to identify their species. They then use...
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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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    6-001-Epidemic-ModelingScenario
    This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the...

    Keywords: datadifference equationsparameter estimationcontinuousepidemicdiscreteboarding school

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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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    Chemoreception
    This module introduces the probability of cell and molecule collisions in the context of understanding chemoreception. It is intended for an introductory biology audience.

    Keywords: linear equationshyperbolic equationsCellular ProcessesChemoreception

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    SUMS4Bio - Video tutorials in math and stats for biology students
    Links to videos and pdf tutorials for core mathematical and statistical concepts used in biology

    Keywords: Probabilitystatisticsmathematicsvideoschi-squaredExcelBar Graphsline graphsScatter Plotsp-valuest-testsExponentsLogarithmsproportionsRatiosbinomialdata typessummary statisticsfrequency histogramsResources @ SUMS4BioPresentation

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    Linked Genes and Recombination: Advanced Punnett Squares
    An online module in which students learn about more difficult genetics problems, including linked genes and crossing over. Quantitatively students learn about marginal probabilities and chi-square...

    Keywords: geneticsProbabilityResources @ MathBenchonlinepunnett squareslinked genes

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    Does Urbanization Favor Exotic Species?
    In this lesson, students will learn about the exotic European honeybee (Apis mellifera), and why they are considered an important pollinator. They will be prompted to think about the impacts of...

    Keywords: RStudiogeneral linear modelsAICurbanizationPoisson Distributionnative speciesHoneybeeexotic species

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    2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
    Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.

    Keywords: liverwortsintraveneouspharmacokineticsethanolethanol infustionpharmacodynamictissue model

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    1971-Carl_Metzler-Usefulness Of Two Compartment Open Model In Pharmacokinetics
    Compartment models are widely used in pharmaceutical research to quantitate the kinetics of absorption, distribution, metabolism and excretion of a drug. In this article two applications of the two...

    Keywords: LSDcompartmentpharmacokinetics

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