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    2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study 
    To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics...

    Keywords: longitudinal dataAIDSantiretroviral drug therapyBayesian nonlinear mixed-effectstime-varying drug efficacyHIV dynamics

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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    A Very Basic Tutorial for Performing Linear Mixed Effects Analyses: Tutorial 2
    The second of two tutorials that introduce you to linear and linear mixed models. This tutorial serves as a quick boot camp to jump-start your own analyses with linear mixed effects models.

    Keywords: statisticsRdata analysisgraphingconceptsstatsregressionmixed modelslinear modelsfixed effectsrandom effectsintroductionResources @ QUBES - Teaching & Referencetechnologytutorial 2boot campbeginner

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    Module M.7 Generalized linear mixed-effects models
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology students on data management and statistical analysis...

    Keywords: R programming languageprimatespopulation ecology

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    Linear Models and Linear Mixed Effects in R: Tutorial 1
    The first of two tutorials that introduce you to linear and linear mixed models.

    Keywords: statisticsmathematicsRdata analysisconceptsstatsregressionmixed modelslinear modelsfixed effectsResources @ QUBES - Teaching & Reference

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    Module M.5 Linear mixed-effects models
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology students on data management and statistical analysis...

    Keywords: R programming languageprimatespopulation ecology

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    2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
    In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.

    Keywords: SASsuperpositionpharmacokineticscompartmental modelsmultiple dose

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    6-028-SaltCompartments-ModelingScenario
    Model a phenomena in which salt mixtures from two tanks are mixed with changing volumes of water.

    Keywords: concentrationcomparmentsalttankmixing

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    1-141-MMGameRevisited-ModelingScenario
    It is assumed that the probability of an M&M chocolate, when tossed, falling on the M side is 0.5 The goal is to find a probability distribution of the probability q which is Pr(randomly chosen...

    Keywords: Probabilitystochastic processesBayesian methodsprobability distribution

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    2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
    In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.

    Keywords: epidemiccompartmentpolitical parties

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    2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
    A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.

    Keywords: politicsparametersvotingcompartment modelepidemiological modelequilibriathree-party system

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    1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
    The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.

    Keywords: kineticsnonlinear regressionsum of square errorsMonodlinearizemineralizationsubstratescarbonaceous

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    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

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    9-005-InvasiveSpeciesModel-ModelingScenario
    This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their...

    Keywords: Invasive Specieslogisticmigrationtraveling wavesdispersion

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    Introduction to Primate Data Exploration and Linear Modeling with R
    Introduction to Primate Data Exploration and Linear Modeling with R was created with the goal of providing training to undergraduate biology research students on data management and statistical...

    Keywords: R programming languageprimatespopulation ecology

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    Save the Bees, Ditch the Plow: A lesson exploring how squash bee abundance is affected by varying levels of soil disturbance.
    The purpose of this lesson is to explore the effects that three varying degrees of soil disturbance has on the squash bee abundance that is observed. We will learn about the importance of...

    Keywords: beesmutualismpollinatorscommunity-based conservationno till farmingreduced tillage

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    Biodiversity Conservation in Agriculture
    Biodiversity is decreasing rapidly each year and agriculture is a large contributor. In order to minimize biodiversity loss, we must study how local and landscape management in agriculture impact...

    Keywords: conservationagricultureBiodiversitybiodiversity conservationagricultural conservation

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    5-023-FakingGause-ModelingScenario
    We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competition in the 1930's studies of G. F. Gause in the...

    Keywords: competitionlogisticyeastGauseparameciumpoplulation

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    2011-Cruz-Aponte-Herrera-Valdez-Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administrati
    We present a SIR-like model that explicitly takes into account vaccine supply and the number of vaccines administered per day and places data-informed limits on these parameters.

    Keywords: vaccinationinfectionSIRepidemic

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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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