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    2012-Ogunrinde-Sunday-On some models based on second order differential equation
    This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum...

    Keywords: species interactionpricing policyoptimal inventory

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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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    1-066-USCensusModeling-ModelingScenario
    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.

    Keywords: datalogisticpopulationGompertzcensusgoodness of fit

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    Learning with All Your Senses: Mathematical Manipulatives Enhance Student Comprehension of Biological Models
    Handout for a session presentation on kinesthetic learning at the 2019 BioQUEST & QUBES Summer Workshop

    Keywords: Models3D models3D printingmanipulativeskinesthetic learning

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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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    Hidden Markov Model
    Hidden Markov models are a set of mathematical tools that can be used to draw inferences about genomic and evolutionary processes.

    Keywords: hidden markov models

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    List of models in which observed patterns are Important
    Supplemental material for ABM

    Keywords: textbookNetLogoagent-based modelingIndividual & Agent Based Modelingin-class activityproblem set

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    Modeling: A Primer - The crafty art of making, exploring, extending, transforming, tweaking, bending, disassembling, questioning, and breaking models
    Explore how to use, analyze, and criticize some important and historically influential models in biology in this text only module.

    Keywords: modelingsimulationmoduleResources @ BioQUESTtextbookmodulesmathematical modeling

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    2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
    In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of...

    Keywords: dynamical systemsretirement modelSocial Security

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    Sequence Similarity: An inquiry based and "under the hood" approach for incorporating molecular sequence alignment in introductory undergraduate biology courses
    Introductory bioinformatics exercises often walk students through the use of computational tools, but often provide little understanding of what a computational tool does "under the...

    Keywords: BLASTmultiple sequence alignmentsequence similarityphylogramZika virusAlgorithmScoring Matrix

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    A Close-Up Look at PCR
    The Polymerase Chain Reaction (PCR) is a fundamental laboratory technique that allows for the amplification of many copies of a desired DNA target sequence. Despite its prevalence, undergraduate...

    Keywords: PCRDNA replication

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    Continuous Growth Models
    This Excel worksheet compares user-input growth data with predictions under linear, exponential, and logistic models of growth. Introduces concepts of statistical analysis that can be additionally...

    Keywords: exponential growthlogistic growthcurve fittinglinear growthgrowth models

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    Discovering Prokaryotic Gene Regulation by Building and Investigating a Computational Model of the lac Operon
    The ability to construct and reason through a biological system is an important skill to develop in science education. This level of understanding forces students to recognize the interrelatedness...

    Keywords: prokaryotesgene regulationLac Operoninducible operon

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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

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    2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
    Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.

    Keywords: Filamentous Fungisolid-state fermentationgrowth kineticsdiffusion-reactionoxygen transfer

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    Teaching Advanced Concepts in Regulation of the Lac Operon With Modeling and Simulation
    Success in biochemistry and other life science courses requires that students understand important biological concepts. One of these concepts is how gene regulation ensures that homeostasis is...

    Keywords: gene regulationinducible operonProkaryotic cellPhosphoenolpyruvate transferase system (PTS)

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    2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
    For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer...

    Keywords: cancertumorfittingagent-based

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    2001-Knisley-Kerley-Using data to motivate the models used in introductory differential equations
    In this paper, the data itself is used to motivate mathematical models in introductory mathematics courses. In doing so, various regression and optimization techniques are illustrated.

    Keywords: regressionlogisticTorricelli's Lawgrowthperiodic process

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    1986-Cook-Witten-One-dimensional linear and logistic harvesting models
    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.

    Keywords: logisticcontinuouspopulationlineardiscreteharvestinbg

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    1-067-ModelingWithSigmoidCurves-ModelingScenario
    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    Keywords: logisticGompertzsigmoidVerhulst-Pearl

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