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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

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    2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
    A simple method for estimation of parameters in first order systems with time delays is presented in this paper.

    Keywords: delaytime delystep response

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    A Critical Guide to Unix
    This Critical Guide in the Introduction to Bioinformatics series briefly introduces the Unix Operating System, and provides a subset of some of the most helpful and commonly used commands....

    Keywords: NIBLSEUNIXbasic UNIX commandsGOBLETInstructorResources

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    Using Constructed Response Questions on High-Stakes Assessments in Large Classes With Limited Support
    Large lecture courses often rely heavily, and sometimes exclusively, on Multiple Choice (MC) exams to assess student learning. Constructed Response (CR) questions, in which students generate their...

    Keywords: assessmenttestexamLarge classconstructed responseshort answerscoring

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    Muscle Contraction
    This module introduces equations around muscle force in the context of understanding the Sliding Filament Model. It is intended for an introductory biology audience.

    Keywords: plottinghyperbolic equationsOpenStaxAnimal Physiology

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    Fragile States: A Case Study Exploring Genetics, Molecular Biology, and Biochemistry Through the Lens of Fragile X Syndrome
    This case aims to strengthen students’ understanding of molecular biology concepts through study of Fragile X Syndrome (FXS). Students begin by learning the cause and phenotypes of FXS and...

    Keywords: gene regulationtranscriptiontranslationFragile X syndrometriplet repeat expansionsex linkagemetabolic pathway

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    Exploration of the Human Genome by Investigation of Personalized SNPs
    To increase students' interest in their own genomes, this computer-based laboratory lesson is designed to be coupled with the opportunity for the students to be genotyped by the consumer sequencing...

    Keywords: bioinformaticsNIBLSECourseSourcegenomic wide association studiesUCSC genome browsersingle nucleotide polymorphism

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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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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    Application of a Bacterial Experimental Evolution System to Visualize and Teach Evolution in Action: A Course-Based Undergraduate Research Experience
    Concepts of evolution are typically taught through examples of extremely long timescales, which do not always resonate broadly. Here, we describe a course-based undergraduate research experience...

    Keywords: EvolutionmutationcompetitionNatural Selectionregulationstructure and functionreproductive fitnessgenotype to phenotypehomologs

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    2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
    Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.

    Keywords: extinctionCoevolutionpredatorLotka Volterra equationspre

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    2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.

    Keywords: kineticsSAScompartmentpharmacokinetics

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    Structuring Courses for Equity
    As instructors, we continually look for new ways to create equitable learning environments and support learning for all students in our courses. Recently, we have explored ways that we can increase...

    Keywords: Equitymetacognitioninclusivitycourse structure

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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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    A Hybrid Virtual Kinesiology Laboratory Module for Human Anatomy and Physiology
    The integration of virtual technology is becoming a common trend in anatomy education at the undergraduate and graduate levels. The incorporation of virtual 3D anatomical models into the classroom...

    Keywords: kinesiologyexercise physiologyAnaerobic RespirationMaximum Oxygen ConsumptionMuscular SystemVirtual AnatomyWingate Test

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    2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
    We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and...

    Keywords: population modelparameter estimationpopulationparameter

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    2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
    We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache...

    Keywords: discretecachecache calculus

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    5-012-LinearSystemConjecture-TechniqueNarrative
    Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing...

    Keywords: discovery learningconjecturesolutionsubstitution

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    Teaching students to read, interpret, and write about scientific research: A press release assignment in a large, lower-division class
    A central skill in any science discipline is the ability to read, understand, and discuss the primary literature of the discipline. However, teaching this skill presents unique challenges within...

    Keywords: cell biologyScience Communicationscientific literacyGraduate Teaching Assistant Professional DevelopmentBiological LiteracyPrimary ResearchWriting Skills

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    2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
    We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and...

    Keywords: natural resourcesmarine resourcesfishery model

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