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    2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
    We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the...

    Keywords: vibrationresonancetuned mass damperpeak frequency responseexcitation

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    Microhabitats and macroinvertebrates: Logjam influences on stream morphology and macroinvertebrate traits
    Logjams are important hydrologic features that shape stream channel morphology and create habitat for organisms. In this lesson, students learn about and measure logjams in a wadeable stream and...

    Keywords: aquatic macroinvertebrateswoodriparian ecologyhabitatfunctional feeding groupRiver Field Studies Networklarge wood

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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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    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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    BioNumbers-the database of key numbers in molecular and cell biology
    BioNumbers is a database of key numbers in molecular and cell biology—the quantitative properties of biological systems of interest to computational, systems and molecular cell biologists

    Keywords: dataResources @ BioNumbersNumbersestimationdatabaseResources @ QUBES - Teaching & Reference

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    Cutthroat trout in Colorado: A case study connecting evolution and conservation
    Evaluation of evidence is a key process skill for the core competencies of applying the process of science and using quantitative reasoning. This case study enables upper-division biology students...

    Keywords: population geneticsphylogeneticsSpeciationdivergencegene flow

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    Exploring USGS streamflow data with dataRetrieval and Swirl
    This Swirl lesson walks through how to retrieve, view, and visually analyze streamflow and water quality data from the National Water Information System (US Geological Survey).

    Keywords: tool:swirl

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    Using Structured Decision Making to Explore Complex Environmental Issues
    Environmental issues are inherently complex, often requiring multiple interested parties to come together before agreeing on a solution. Structured decision making is a tool used by federal and...

    Keywords: interdisciplinarysocio-ecological systemsscience policystakeholderstructured decision making

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    2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
    In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear...

    Keywords: compartmentheatinghouse

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    2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
    Walk through the cases in context of second order linear constant coefficient differential equation with driving function

    Keywords: driving functionviscousmechanical system

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    Good Drug, Bad Practice: Tackling the Ivermectin Fiasco
    Throughout history, biomedical advancements have alleviated suffering worldwide and significantly advanced human well-being. As researchers and educators, we are well-familiar with the...

    Keywords: Peer reviewCOVID19fraudtherapeutic drugIvermectin

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    2017-Helen-Byrne-Further Mathematics Biology
    These studies will be in the context of ecological, biological and biochemical applications.

    Keywords: epidemicschemotaxisenzyme-substrateion channelsnerve pulsesgene proagationtumour

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

    Keywords: Individual & Agent Based Modelingpredator-preythink-pair-shareslynxrefugeprey switchingMustela-Clethrionomys systempatter oriented

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    1996-D_Erdman-MM_Morelock-A Study of Kinetics
    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: simulationkineticsparameter estimationEnzymesubstratesavingscompartmentstomachbloodginseng

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    1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
    First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle...

    Keywords: sensitivitychaosparametersRespirationdelayblood cells

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    5-005-StiffDifferentialEquations-TechniqueNarrative
    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may...

    Keywords: Euler's methodexplicit methodsimplicit methodsstiffsitffnessstiff differential equationinstability

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    Biometeorology of Asthma in South Florida: From Statistical Analysis to Mathematical Modeling
    Part of the 2015 SMB Minisymposium: Topics in Biomathematics Education

    Keywords: data analysisdynamical systemsmathematical modelingsynchronizationasthmaimmune systemcomplex systemsfeedback loopsself-organized criticalitychaos

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    2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
    We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.

    Keywords: population dynamics

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