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    2001-Tsoularis-Analysis of logistic growth models
    variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such...

    Keywords: logisticGompertzVerhulstPearl and ReedBertalanffy

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    2001-Smith-Moore-The SIR Model for Spread of Disease
    A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.

    Keywords: epidemicSIR modelEuler's methodherd immunityHong Kong flu

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    2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
    A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.

    Keywords: cinemamoviesbox-office

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    2001-Cheng-Teaching mathematical modelling in Singapore schools
    The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.

    Keywords: teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore

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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept...

    Keywords: infectious diseaseepidemiccowpoxsmallpoxcomplex networks

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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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    2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
    Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.

    Keywords: population dynamicslogisticLatter-Day Saints

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    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...

    Keywords: Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem

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    1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime
    In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.

    Keywords: data analysisslimedifference quotientspread of slime

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    1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
    This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.

    Keywords: population dynamicsparameter estimationlimited growthgrowthlogisitic

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    1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
    The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.

    Keywords: earthquakenondimensionalizationCoulomb dampingmechanical vibration

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    1991-Carmine_Chicone-Ordinary Differential Equations with Applications
    This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.

    Keywords: orbitstwo mass systematommagnetic fieldcoupled penduluminverted pendulumcharged particleKepler motion

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    2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
    This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.

    Keywords: spatialsensitivity analysisgene regulatory networksstochasticbifurcationmetabolic networkselectrophysiologytransductionrate lawsbiochemical reactions

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    2012-Vivek_Patel-Chemical Kinetics
    The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics...

    Keywords: kineticschemistryreaction

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    1999-Lomen-Lovelock-Data Sets from text Differential Equations Graphics-Models-Data
    Data selected by field is presented, e.g., chemistry, electricity, growth, motion, population, miscellaneous.

    Keywords: dataEstimate

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    Manuscript 101: A Data-Driven Writing Exercise for Beginning Scientists
    Learning to write a scientific manuscript is one of the most important and rewarding scientific training experiences, yet most young scientists only embark on this experience relatively late in...

    Keywords: geneticsanimaldevelopmentcompetitionbacterial

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    Making “sense” out of surface area to volume relationships
    Using a multimodal approach, the non-linear aspect of the surface area to volume relationship is explored. Students use their their senses of taste and sight to determine how smaller cells and...

    Keywords: active learningintroductory biologycell biologyquantitative skillskinesthetic learningLDC2023

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    Mitosis and Meiosis Resources
    New stop-motion ‘candymation’ videos of mitosis and meiosis, plus Instructor Guides and problem sets.

    Keywords: meiosislearningmitosisanimationscell division mechanismschromosomes

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    2012-Greer-Palin-Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1
    We describe a semester-long collaboration between a mathematics class and a biology class. Students worked together to understand and model the trajectory of the pandemic H1N1, pH1N1, outbreak...

    Keywords: H1N1pandemicspreadoutbreakpH1N1

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