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    Pedigree Unspoken Assumptions
    A video that highlights the unspoken assumptions that we use in pedigree analysis.

    Keywords: geneticsintroductory biologybiologybiology teachingVideoGenetics educationGeneral biology educationpedigreePedigree analysisassumptionsunspoken assumptionsskit

    768

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    2009-Reid-King-Pendulum Motion and Differential Equations
    This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect...

    Keywords: pendulumphysical pendulum

    112

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    2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
    . In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.

    Keywords: vaccinemalariamigrationeradicationseasonality

    163

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    1-001a-MMDeathImmigration-Variation-ModelingScenario
    We model exponential death with m&m's as well as death with immigration.

    Keywords: simulationdatam&mimmigrationdeath

    448

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    1-044-CollegeBound-ModelingScenario
    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.

    Keywords: interest ratecollege savingtuitionroom and board

    243

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    2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
    We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.

    Keywords: kineticsEnzymesubstratenondimensionalizationmultiple timescales

    95

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    48

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    1994-Brian_Winkel-Ant_Tunnels_and_Calculus
    A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.

    Keywords: differential equationsdifference equationfirst orderderivative definitionant tunnel

    136

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    58

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    2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
    This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.

    Keywords: combatcombat modelspecies interaction

    76

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    26

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    1-039-StochasticPopModels-ModelingScenario
    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...

    Keywords: Probabilitypopulation dynamicsVarianceMeanstochasticdeterministic

    301

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    115

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    0

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    0

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    1-003-CollegeSavings-ModelingScenario
    We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.

    Keywords: collegesavingsinterest ratecollege costsensitiviyty

    237

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    151

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    Population Ecology in Swirl: Estimating Population Sizes
    The students will learn to estimate population sizes and consider assumptions of mathematical models and their applicability to the ecology of an organism/population

    Keywords: RSwirl

    1649

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    655

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    Hardy-Weinberg Equilibrium
    This module introduces the Hardy-Weinberg model in the context of understanding the population's genotype and allele frequencies. It is intended for an introductory biology audience.

    Keywords: genotypeallelesGenetics and EvolutionFrequenciesHardy-Weinberg model

    855

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    318

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    Pain Medication Treatment Modeling Project
    This classroom modeling project applies mathematical techniques to solve a problem related to drug dosage patterns. Suitable for high school or undergraduate students. Prerequisite: Calculus I.

    Keywords: Mathematical Biologycalculusexponential decayrecursionabsorptionelimination

    1732

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    475

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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

    96

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    37

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    1-001-MM-DeathAndImmigration-ModelingScenario
    We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to...

    Keywords: simulationimmigrationdeathSpanishdatsWinkelBrian Winkel

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    Guided Goal Setting for Mentors and Mentees
    We provide a framework for research mentors and mentees to talk together and explicitly discuss expectations, assumptions, and goals for each party.

    Keywords: Undergraduate Mentorshipstudent mentoring and traininggoals

    301

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    70

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    MathBench Population Dynamics Module Activity
    The resource accompanies the Mystery of the Missing Housefly Population Dynamics MathBench module which explores exponential and logistic growth models. Students explore the assumptions of the...
    1048

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    547

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    Web Popgen
    A Hardy-Weinberg simulation program.

    Keywords: Hardy-Weinbergpopulation geneticscomputer simulationsGenetic DriftmutationNatural Selection

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    308

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    Changes in Lake Ice: Ecosystem Response to Global Change
    Data Set included in included in Teaching Issues and Experiments in Ecology (TIEE) Volume 3

    Keywords: Resources @ ESA - TIEE

    1518

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    216

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    1-170-CensusModeling-ModelingScenario
    Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in...

    Keywords: logistic growthexponentialpopulationU.S. Census DataassumptionGoogle SheetsUnites StatesGuatemala

    185

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