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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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    2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform
    We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at...

    Keywords: Expected ValueRiemann sumnet change

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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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    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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    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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    1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
    The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid...

    Keywords: steady-state modelisoclinesenzyme kinetics

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    2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
    The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.

    Keywords: Fredholm integral equation ofLeontief’s modelmacroeconomic processes

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    Ethics in Synthetic Biology
    This collection of five activities provide students with an introduction to thinking about ethical concerns in human genome synthesis, gene editing, metabolic engineering, and synthetic genomes.

    Keywords: biostatisticsstatistical analysisavian malariaSummer Workshop 2018

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    Should we synthesize a human genome?
    Two articles introducing the Human Genome Project-Write and asking questions about the ethics of the project.

    Keywords: biostatisticsstatistical analysisavian malariaSummer Workshop 2018

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    1-155-CruiseControl-ModelingScenario
    In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control...

    Keywords: PID controllerfeedback controlControl theorycruise controlautomobileclosed-loop controlinput-ouputblock diagram

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    2015-Doust-Saraj-The logistic modeling population having harvesting factor
    The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.

    Keywords: logisticharvestharvesting factor

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    7-011-CoupledSystemLaplace-ModelingScenario
    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.

    Keywords: transfer functionpolycarbonatebaby heatercoupled systemheating

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    Ethics of Metabolic engineering
    This is an ethical reflection for students on an issue in metabolic engineering and the potential for "home-brew" morphine. The case study asks students to reflect on material in the linked...

    Keywords: biostatisticsstatistical analysisavian malariaSummer Workshop 2018

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    Ethics in synthetic genomics
    This is an ethical reflection for students on an issue in genome engineering and the synthesis of potentially infectious viruses. The case study asks students to reflect on material in the linked...

    Keywords: biostatisticsstatistical analysisavian malariaSummer Workshop 2018

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    Ethics of Gene Editing
    This is an ethical reflection for students on an issue in gene editing. The case study asks students to reflect on material in the two linked articles. Also included is the grading rubric.

    Keywords: biostatisticsstatistical analysisavian malariaSummer Workshop 2018

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    Module 1: Discovering Your Family's “Botanical History.”
    We all know that understanding family history is important to understanding our place in the world. To help students learn to appreciate plants, this activity will connect family memories to...

    Keywords: botanyherbariumPlant awareness disparityfamily history

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    BioTA Podcast Episode #34 Biofilms Podcast Overview
    BioTA Episode #34: Biofilms Authors: Seth Higbee1, Pankaj Mehrotra2, J. Phil Gibson1 Prokaryotes are often taught to us as being free living single-celled organisms that lack membrane bound...

    Keywords: microbiologybacteriaprokaryotesBiofilmsExtracellular Polymeric Substances (EPS)16s Ribosomal RNA

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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

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    1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
    The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.

    Keywords: sociologypoliticsintragenerational mobilitypolitical mobility

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