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    2012-Bech-EtAl-Resources For Engineering Applications Of Math
    Illustrations of applied mathematics including statics, truss, heat equation, column analysis, coupled oscillators, feedback control, AC circuit, chemical reactions, kinetics.

    Keywords: kineticsheat equationcolumn analysiscoupled oscillatorsfeedback controlAC circuitchemical reactions

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    1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits
    This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.

    Keywords: population dynamicsparameter estimationlimited growthgrowthlogisitic

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    1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
    Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of...

    Keywords: datacollectionslaboratorycircuitRLC

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    Understanding Gastric Acid Secretion: An Active Learning Approach
    The human digestive system is a diverse network of cells, tissues, and organs that is regulated by systemic (e.g., nervous and endocrine systems) and local factors (e.g., secretions, pH, and the...

    Keywords: diseasesignal transductionAcid SecretionAutonomic Nervous SystemEndocrineGastric PhysiologyGPCRHistology of Gastric Pit

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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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    Discovering Cellular Respiration with Computational Modeling and Simulations
    Cellular respiration, a common topic among introductory and cellular biology curricula, is a complex biological process that exemplifies core biological concepts, including systems, pathways and...

    Keywords: Cellular MechanismsCellular RespirationFermentation

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    Nanoparticles and Shrimp: An Interdisciplinary Lab Series in Chemistry and Biology for Undergraduate Engineering Students
    The parallels between engineering and science are vast, as both disciplines apply theory and inquiry to solve complex problems. In order to prepare students for interdisciplinary careers in STEM,...

    Keywords: microscopychemistry applications in biologytoxicity

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    To Vaccinate or Not to Vaccinate
    To vaccinate or not to vaccinate, that is the question. Much of the recent trend in society against vaccination is that the general population does not understand 1) how vaccines work and 2) how...

    Keywords: pathogenELISAimmunityantibodyAntigen

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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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    2003-Richard-Carson-Tracer kinetic modeling in PET
    The use of radiopharmaceuticals and the imaging of their biodistribution and kinetics with modern instrumentation are key components to successful developments in PET.

    Keywords: Metabolismtomographyradiopharmaceuticalspositron emission

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    Integrating Community Ecology Into the Study of Parasites: Exploring the Effect of Host Behavior on Parasite Transmission Rates
    Organismal life cycles are often presented as a set of facts to memorize in undergraduate biology courses. This approach is cognitively demanding for students and fails to convey how central life...

    Keywords: statisticsspecies interactionsQuantitative reasoninggraphsCommunity EcologyParasitologyfood webs

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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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    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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    Concept mapping exercise for ecological news story and peer feedback
    This activity is designed for small groups to work together in class to create a concept map based upon an ecological news story. Any short news story can be selected. One is provided here, along...

    Keywords: ecologysystems thinkingconcept mappingpeer feedbackin-class exercise

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    Aquatic Nutrient Levels and Climate Change
    This learning module was designed to introduce students to the aquatic nutrients nitrogen and phosphorus, their roles in ecosystem function and nutrient pollution, and what impacts climate change...

    Keywords: climate changenitrogenwater resourcesfreshwater systemsEutrophicationwater qualitynutrient pollutionphosphorusdischargeTMDL

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