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    Characterizing the Quantitative Biology Curricula from Institutions Across the United States
    Undergraduate research poster presented at the Undergraduate Research Symposium at the University of Pittsburgh in 2015.

    Keywords: Mathematical Biologycurriculumundergraduate researchinterdisciplinaryPresentation

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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

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    1-038-Ebola-ModelingScenario
    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...

    Keywords: population dynamicsdata analysisexponential growthEbolalogisticepidemic

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    Grow the Gradient: An interactive countercurrent multiplier game
    The countercurrent multiplier of the loop of Henle in a mammalian kidney is a challenging concept for instructors to teach and for students to learn. We developed an interactive game to support...

    Keywords: countercurrent multiplierexcretory systemkidneyloop of Henlemembrane transport

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    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about...

    Keywords: compartment modelpharmacokineticspharmacodynamicsorbitsturnover

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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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    2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
    This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.

    Keywords: laboratorydata collectionRLC circuitinvers problemelectrical circuit

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    2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
    we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer...

    Keywords: insect colonyoptimal controlparameter

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    6-016-PandemicModeling-ModelingScenario
    The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?

    Keywords: population dynamicsinfectious diseasediseaseEbolaeSIR modelsCOVID19pandemicepidemicreproduction number

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    Using Bioinformatics to Understand Genetic Diseases: A Practical Guide
    This Practical Guide outlines a number of basic bioinformatics approaches that can be used to understand the molecular basis of genetic diseases.
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    Java Applets for Power and Sample Size
    This is a Java application that allows you to do power and sample-size calculations for a number of standard statistical models.

    Keywords: statisticspowerstatistical powersample sizeeffect sizestatistical tests

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    Birthday Problem and Class Phenotypic Probabilities
    An Excel workbook exploring two related applications, the Birthday Problem and Class Phenotypic Probabilities. Students enter their own phenotypes into the workbook.

    Keywords: ExcelResources @ ESTEEMphenotypic probabilityallelic frequency

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    The Science Senses
    This video introduces the common thread that runs through the Science Forward course: Sciences Sense.

    Keywords: videosnumber senseScience Forwardscience sense

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    Cell Division and Cancer Risk Data Point
    Cancer is typically attributed to hereditary and environmental factors, but these only explain a fraction of overall cancer risk. This activity explores a third factor.

    Keywords: Resources @ HHMI - BioInteractivecancerScientific ProcessStatistics and MathScientific Methodologybiology of cellscell growth and divisionHigh School

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    Implementing active learning approaches into an upper-division biology course
    In this essay, we present our strategy for implementing active learning strategies into an upper division course on Human Genetics. Our principal goal was to shift from a traditional didactic...

    Keywords: human biologyPedigree analysisRare genetic diseases

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    Dynamic Daphnia: An inquiry-based research experience in ecology that teaches the scientific process to first-year biologists
    This authentic research experience lesson teaches the core concept of systems and the competencies of quantitative reasoning, communication, and the ability to apply science. The research is...

    Keywords: statisticsecologyscientific methodexperimental designAbiotic and Biotic FactorsDependent and Independent Variables

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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

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    2008-Huet-Deffuant-Differential Equation Models Derived from an Individual-Based Model Can Help to Understand Emergent Effects
    We study a model of primacy effect on individual's attitude. Typically, when receiving a strong negative feature first, the individual keeps a negative attitude whatever the number of moderate...

    Keywords: agent-based modelprimacy effectinformation filteringaggregated modelcollectiveinteractionsdouble-modelling

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    2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
    In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and...

    Keywords: diseaseendemicreproduction numbertungiasisjigger infestation

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    1-001c-PopulationDecayThenSome-ModelingScenario
    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.

    Keywords: simulationoccupancypopulationhotel

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