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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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    2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
    We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.

    Keywords: infectionHIVT cells

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    2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay 
    Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time...

    Keywords: virusT cellsHopf bifurcationendemic equilibrium

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    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without...

    Keywords: delayHIV-1T cellscombination antiviral therapy

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    The Morning After: A Case Study of the Impacts of HIV on Sexual Minority Populations
    Poster on a case study around the experiences of the LGBT community related to HIV presented at the 2018 QUBES/BioQUEST Summer Workshop

    Keywords: case studypublic healthHIVSummer Workshop 2018LGBT community

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    Exploring HIV Evolution
    In this activity you will study aspects of sequence evolution by working with a set of HIV sequence data from 15 different subjects (Markham, et al., 1998). You will first learn about the dataset,...

    Keywords: EvolutionbioinformaticssequencingUndergraduateNIBLSEincubatorsHIVAudience LevelC1. Role of bioinformaticsC4. Bioinformatics toolsRecommended by NIBLSE

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    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...

    Keywords: diseaselogisticHIVpiecewise constantIndia

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    2017-Fred_Adler-Mathematically Modeling Asthma
    Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma

    Keywords: infectionasthmaimmune responserhinovirus

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    Mock Drug Activity Enhances Student Learning About the Challenges of HIV/AIDS Therapy
    While traditional didactic coursework is important for learning about the scientific aspects of HIV/AIDS, it is difficult to convey social aspects of the epidemic. Due to effective drug therapies,...

    Keywords: drug resistanceRetrovirusViral replication

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    BioBayes
    The BioBayes module leads the user through several different methodologies for applying Bayesian probabilities to real life examples and problems, such as HIV and cystic fibrosis screening.

    Keywords: pedigreesbayesian statisticsHIVTwo-Way Tablespunnett squarescystic fibrosis

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    Murder by HIV? Undergraduate edition
    Bioinformatics case study focusing on phylogenetic tree interpretation, published in the National Center for Case Study Teaching in Science

    Keywords: case studyResources @ NSF - NCCSTSbioinformaticsNIBLSEHIVnucleotide sequencingphylogenetic treeviral life cyclesmutation ratesreverse transcriptase sequences

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    Forensic Phylogenetics: Implementing Tree-thinking in a Court of Law
    Here we describe an in-class activity developed for Evolutionary Biology and Biodiversity (BioEE1780) at Cornell University, an introductory course required of all biology majors. This activity...

    Keywords: phylogeneticsTree thinkingparaphyly

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    Infectious Chocolate Joy with a Side of Poissonian Statistics: An activity connecting life science students with subtle physics concepts
    Lesson on what it means for biological processes to be Poissonian, published in CourseSource

    Keywords: quantitative biologybioinformaticsmicrobiologyphysicsNIBLSEHIVCourseSourcemultiplicity of infectionPoisson Distribution

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    2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
    This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.

    Keywords: population dynamicslogistic equationlocation-dependent carrying capacities

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    2008-William_Revelle-Cues Tendencies and Actions-The Dynamics of Action Revisited
    This article describes a reparameterization of the original theory of dynamics of action and applies the power of simple modeling to the study of action, emotions, and social behavior.

    Keywords: psychologytask referenceachievement motivationdynamics of action

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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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    MathBench Population Dynamics Module Activity
    The resource accompanies the Mystery of the Missing Housefly Population Dynamics MathBench module which explores exponential and logistic growth models. Students explore the assumptions of the...
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    2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
    Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.

    Keywords: cancertumor-inhibiting cytotoxic actiontumor-promoting inflammationimmune-induced tumor dormancytumor growth dynamics

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    EREN PFPP Species Composition Curriculum Module with Data
    In this lab, students will learn foundational concepts of forest community dynamics and apply quantitative skills to data analysis and interpretation activities. Students will use tree plot data...

    Keywords: forest ecologyecologydata analysisdata in the classroomCommunity Ecologyscience educationcourse-based undergraduate research experiencecurriculum materialsPlant EcologyPlant community assemblyCollaborative researcheren

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    2006-Shigui_Ruan-Delay differential equations in single species dynamics
    In this survey, we shall review various delay differential equations models arising from studying single species dynamics.

    Keywords: allee_effectdelayed biological systemsfood limitperiodiciityrecruitment modelRegulation of Haematopoiesis

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