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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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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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    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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    Food Chain Dynamics In A Simple Ecosystem
    In this lab, students will work with a simple algae/brine shrimp environment to learn about food chains and population dynamics. It was implemented with limited alteration for an Introductory...

    Keywords: ecologyecosystemsfood chain

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    2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
    To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes...

    Keywords: population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee

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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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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

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    Investigating human impacts on local Hawaiian stream ecology
    Students learn about stream ecology on the island of Hawaii using data available through USGS and University of Hawaii websites and develop an understanding for potential stream changes due to...

    Keywords: climateStream ecologyHawaii CountyTopographyMap ReadingRainfall

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    Mentoring Undergraduate Research Projects in Mathematical Biology
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: epidemiologymentoringcurriculumundergraduate researchGene regulatory networkpest management

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    Exploring the population dynamics of wintering bald eagles through long-term data
    This is an FMN participant modification of the TIEE module "Exploring the population dynamics of wintering bald eagles through long-term data" authored by Julie Beckstead, Alexandra N....

    Keywords: ecologyLabEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelAdvancedActivity LengthMore than 1 hour

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    Exploring the population dynamics of wintering bald eagles through long-term data
    This is an FMN participant modification of the TIEE module "Exploring the population dynamics of wintering bald eagles through long-term data" authored by Julie Beckstead, Alexandra N....

    Keywords: ecologyIntroductoryEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelActivity LengthMore than 1 hour

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    Exploring the population dynamics of wintering bald eagles through a population model
    This is an FMN participant modification of the TIEE module "Exploring the population dynamics of wintering bald eagles through long-term data" authored by Julie Beckstead, Alexandra N....

    Keywords: ecologyLabEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelAdvancedActivity LengthMore than 1 hour

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    Exploring the population dynamics of wintering bald eagles through long-term data
    This is an FMN participant modification of the TIEE module "Exploring the population dynamics of wintering bald eagles through long-term data" authored by Julie Beckstead, Alexandra N....

    Keywords: ecologyEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelActivity LengthLess than 1 hour

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    2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
    In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.

    Keywords: delayepilepsy dynamicsepilepsybistabilityseizure activity

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    2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
    A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.

    Keywords: cinemamoviesbox-office

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