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    IPMpack: an R package for Integral Projection Models
    IPMpack is an R package (R Development Core Team 2013) that allows users to build and analyse Integral Projection Models.

    Keywords: RR-Forgeanimalbiostatisticscomparative analysisecologylongitudinal datamodel comparisonmodel estimationprojectionssurvivaltime seriestrajectoryIPMintegral projection modelsResources @ QUBES - Software

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    1-040-OutcomeSavings-ModelingScenario
    We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.

    Keywords: Pop_Growth Pilotsavingsgrowthdepositg

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    1-004-MicroorganismImmigration-ModelingScenario
    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

    Keywords: continuousimmigrationpopulationdeathdiscrete

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    1-005A-ChemDataCollection-ModelingScenario
    A student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting data. She only collects data at the start and end of a number of ten minute intervals and...

    Keywords: linear regressionkineticschemistryorder of reactionchemical reactionchemical datainfusiondifferencing

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    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.

    Keywords: logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation

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    1-006-Financing-ModelingScenario
    We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation...

    Keywords: financesavingsloaninterest ratepayment

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    2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
    Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the...

    Keywords: sensitivitydiseaseinfectionthresholdcompartmentbifrucation

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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    2015-Khan-EtAl-How differential equations influence the tumor growth via mathematical models
    This work demonstrates the importance of differential equations to develop mathematical model of tumor growth.

    Keywords: tumorcancdercancerous cellsimmunotherapymalignant

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    A Hands-on Introduction to Hidden Markov Models
    In this Lesson, we describe a classroom activity that demonstrates how a Hidden Markov Model (HMM) is applied to predict a eukaryotic gene, focusing on predicting one exon-intron boundary. This HMM...

    Keywords: transcriptionexonintronsplicing

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    A Hands-on Introduction to Hidden Markov Models
    A lesson in which students will understand the basic structure of an HMM, the types of data used in ab initio gene prediction, and its consequent limitations.

    Keywords: Markov modelbioinformaticsgenomicsNIBLSEtranscriptionCourseSourceexonintronsplicing

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    Data from: Advancing population ecology with integral projection models: a practical guide
    Review important resources for building IPMs and provide a comprehensive guide, with extensive R code, for their construction.

    Keywords: IPMintegral projection modelsdemographyelasticitylife historymatrix projection modelpopulation growth ratepopulation projection modelsensitivitystage structurevital ratesResources @ DryadResources @ QUBES - Data

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    Unwrapping Enzyme Kinetics
    Enzyme rates and kinetics are key components used by biochemists to understand how enzymes function. However, students often find it difficult to understand how these experiments are performed and...

    Keywords: kineticsstructure-functionenzymescatalysis

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    2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
    To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes...

    Keywords: population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee

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    2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
    This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.

    Keywords: optimizationalgae growthgenetic algorithmssimulated dataconvergence of parameters

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    Advancing population ecology with integral projection models: a practical guide
    Integral projection models (IPMs) use information on how an individual's state influences its vital rates – survival, growth and reproduction – to make population projections using regression...

    Keywords: IPMintegral projection modelspopulation growthreviewsdemographyelasticitylife historymatrix projection modelpopulation growth ratesensitivitystage structurevital ratesregressionResources @ QUBES - Teaching & Referencecovariatesanalytics

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    2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
    The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data...

    Keywords: physiologyinverse problem

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    Materials for Teaching the SIR Epidemic Model
    This web page contains materials created by faculty of the University of Nebraska-Lincoln Department of Mathematics to teach basic fundamentals of mathematical epidemiology.
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    7-010-MultipleDoses-ModelingScenario
    Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus...

    Keywords: drug discoverystep functiondoseDiracdrug administrationinverse Laplace Transformintraveneousbolussteady drip

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    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in...

    Keywords: Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol

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