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    1-109-EmployeeAttrition-ModelingScenario
    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.

    Keywords: populationlinear growthdecayemployeeattrition

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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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    Regulation Across Scales: Data Points on How Life Works
    We examined the scientific literature for simple, data-based illustrations of double-negative logic in the regulation of biological systems as described by Sean B. Carroll in his text, The...
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    Expanded Graphing Tutorial
    The tutorial has two approaches for teaching about graph building and choosing the appropriate graph for different data types, a scaffolding approach and a exploration approach which can be...

    Keywords: Scientific ProcessStatistics and MathScientific MethodologyHigh School

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    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    Keywords: animalNetwon's Second Law of Motionfalling bodyterminal velocityair resistanceNewtonair frictionfall

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    1968-Wagner-Aghajanian-Bing-Correlation of performance test scores with tissue concentration of lysergic acid diethylamide
    This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer students and through parameter estimation models the amount of LSD in the tissue after its initial...

    Keywords: LSDcorrelation coefficientcompartment modellysergic acid diethylamideperformancetest scoretissue concentration

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    5-020-ParacetamolAbsorption-ModelingScenario
    We offer drug absorption data on paracetamol, an analgesic pain reliever, for two different sets of patients, vegetarian and non-vegetarian. Students build a two compartment model for plasma and...

    Keywords: paracetamolanalgesicvegetariannon-vegetarian

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    Role of Crop Genetic Diversity on Pathogen Impact: The Tale of Two Pathogens
    Introductory genetics courses are part of the core curriculum in many different fields, including plant breeding, animal science, biology, microbiology, and natural resource management. Concepts...

    Keywords: plant pathologygenetic diversityDisease TriangleModes of Reproduction

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    Necessary and Sufficient? Solving the Mystery of the Mitochondrial Pyruvate Transporter
    While there are several available lessons for teaching introductory biology students about diffusion, facilitated diffusion, and active transport, fewer materials exist to support upper-division...

    Keywords: DiffusionActive transportfacilitated diffusionNecessary and sufficientTransport proteins

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    Pick Your Poison: A Semester-Long Case Study for Undergraduate Toxicology
    The ability to collate information from diverse scientific resources and effectively employ scientific writing is an essential skill for scientists. This lesson describes a semester-long project...

    Keywords: risk assessmenttoxicologyPharmacologyregulationsdose responseADME

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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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    2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
    We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.

    Keywords: simulationNetLogopredator-preyagent-basedwolffox

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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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    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological...

    Keywords: protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular

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    It's a bird! It's a plane! It's biomechanics!
    Biomechanics is a discipline that draws from physics and engineering principles to understand the movement and structure of living organisms. It is highly interdisciplinary in nature and can be...

    Keywords: EvolutionecologybatphysiologyAnatomybirdFlightforcesinsect

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    2007-Bellomo-De_Angelis-Delitala-Lecture Notes on Mathematical Modelling in Applied Sciences
    The Lectures Notes correspond to the first part of the course devoted to modelling issues to show how the application of models to describe real world phenomena generates mathematical problems to...

    Keywords: spring massLegendre polynomialsintegro-differential equationskinetic theory

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    Squirrels in Space: Using Radio Telemetry to Explore the Space Use and Movement of Sciurid Rodents
    Biotelemetry is used by researchers to track the interactions of animals with each other and the environment. While advancing technology has led to the development of numerous biotelemetry tools,...

    Keywords: DispersalHabitat selectionHome rangeSquirrel-Net

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    STEM Inclusive Teaching Practices Webinar Series: Fixed vs Growth Mindset and Why the Biggest Challenge May be Faculty (Episode Seven)
    This webinar will explore how faculty can teach with a growth mindset and identify some potential areas of fixed mindset that might prove to be obstacles for many students.

    Keywords: growth mindsetfaculty developmentDiversity and Inclusionfaculty mindset

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    Learning to Pipet Correctly by Pipetting Incorrectly?
    Beginning undergraduate students in biology need basic laboratory, data analysis, and science process skills to pursue more complex questions in course-based undergraduate research experiences...

    Keywords: statisticslaboratorypipetting

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