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    2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
    We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.

    Keywords: zombiesinfectionepidemicwater treatmentlatent infectionquarantineimpulsive eradication

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    Exploring the Lytic and Lysogenic Life Cycles of Bacteriophages
    The goal of this lesson is to introduce students to the lytic and lysogenic cycles of T4 and lambda bacteriophages, respectively, using student-centered pedagogies. Bacteriophages are viruses that...

    Keywords: bacteriophagesLysogenic cycleLysogenyLytic cycle

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    2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
    The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.

    Keywords: logisticHBV infectionadaptive immunie responseT-lymphocytes

    147

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    2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
    The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.

    Keywords: adaptive copingReservoirsNotre Dame Longitudinal Study on Agingoutputinput distributionstressorscoping resources

    141

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    66

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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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    COVID-19: Molecular Basis of Infection
    This case was written in Spring 2020 during the COVID-19 pandemic. It focuses on understanding the structure and interaction of the SARS-Cov-2 viral spike protein that facilitates infection in...

    Keywords: infectionvaccinemolecular visualization and analysisCOVID19PDBSARS-CoVMolecular Case Study

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    2005-DieboldEtAl-Modeling Bond Yields In Finance And Macroeconomics
    From a macroeconomic perspective, the short-term interest rate is a policy instrument under the direct control of the central bank. From a finance perspective, long rates are risk-adjusted averages...

    Keywords: financeinterest ratebond yieldmacroeconomics

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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

    140

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    COVID-19: Molecular Basis of Infection-ADAPTATION
    This case was written in Spring 2020 during the COVID-19 pandemic. It focuses on understanding the structure and interaction of the SARS-Cov-2 viral spike protein that facilitates infection in...

    Keywords: infectionvaccinemolecular visualization and analysisCOVID19PDBSARS-CoVMolecular Case Study

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    T2R38 taste receptor polymorphisms underlie susceptibility to upper respiratory infection
    Article presenting evidence that the bitter taste receptor T2R38 regulates the mucosal innate defense of the human upper airway.
    655

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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

    155

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    2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
    We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the...

    Keywords: stabilityresistancevirusdrugepidemic competitionimmune responserhinovirus

    153

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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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    Investigating Sexually Transmitted Disease (STD) Ecologies Using Geographic Information Systems (GIS) (Abstract) | TIEE
    Identifying, mapping and understanding the magnitude and the spatial prevalence of the Sexually Transmitted Diseases (STDs) such as chlamydia and gonorrhea diseases. Analyzing the spatial trends of...

    Keywords: Resources @ ESA - TIEEDisease ecologyfmnDIGhuman ecology and behaviorbacterial infectionsspatial and temporal spread of diseaseGeographic Information System (GIS)

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    Targeting Misconceptions in the Central Dogma by Examining Viral Infection
    Understanding the central dogma and how changes in gene expression can impact cell function requires integration of several topics in molecular biology. Students often do not make the necessary...

    Keywords: datatranscriptionvirustranslationprotein functionmembrane transportPredictions

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    507

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    2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
    Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical...

    Keywords: simulationdiseasevirusviral infection

    259

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    COVID-19: On the way to a vaccine
    This multi-part case study introduces the reader to the SARS-CoV-2 virus origins, the molecular basis of the infection, the development and severity of symptoms, and treatment.

    Keywords: BLASTprotein structure modelingmolecular visualization and analysisCOVID19PDB

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

    160

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    2002-Dietz-Heesterbeek-Daniel Bernoulli-epidemiological model revisited
    The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper and its...

    Keywords: life tableepidemicsmallpoxDaniel Bernoullicompeting riskinoculation

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    2020-Chen_Et_Al-MathModel_Simulation_Phase-Based_Transmissability_Corona_Virus
    In this study, we developed a Bats-Hosts-Reservoir-People transmission network model for simulating the potential transmission from the infection source (probably be bats) to the human infection.

    Keywords: basic reproduction numbercoronavirusnext generation matrixtransmissibilitynovel coronavirus

    133

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