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    2009-Shamim-EtAl-Investigating viscous damping using a webcam
    We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.

    Keywords: laboratoryunderdampedoverdampedcritically dampedharmonic motionimage processingviscous fluid

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    What do Bone and Silly Putty® have in Common?: A Lesson on Bone Viscoelasticity
    Without the use of real-life examples and models, actively instructing and engaging students in complex physiology topics related to bone biomechanics can be challenging. In our large-enrollment...

    Keywords: structure-functioninjuryAnisotropyHysteresisSkeletal SystemViscoelasticity

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    2023-TechShareNotes. Differential Equations Modeling
    TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as...

    Keywords: population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling

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    4-055-ShatterWineGlass-ModelingScenario
    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?

    Keywords: frequencydampingamplituderesonanceoscillationshatteringwine glassbridgesaircraftexternal force

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    1988-Steven_Strogatz-Love Affairs and Differential Equations.
    This is a system of differential equations to describe the love between Shakespeare’s Romeo and Juliet.

    Keywords: Romeo and Julietlove

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    2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
    In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population...

    Keywords: Immunologytumorhopf bifrucation

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    It's a bird! It's a plane! It's biomechanics!
    Biomechanics is a discipline that draws from physics and engineering principles to understand the movement and structure of living organisms. It is highly interdisciplinary in nature and can be...

    Keywords: EvolutionecologybatphysiologyAnatomybirdFlightforcesinsect

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    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

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    A Short Bone Biomechanics Primer: Background for a Lesson on Bone Viscoelasticity
    The skeletal system is the first of the body systems that we discuss in-depth in our Physiology & Anatomy courses (PNB 2264/2265 and PNB 2274/2275) in the Department of Physiology and...

    Keywords: structure-functionbiomechanicsAnisotropyViscoelasticity

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    2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
    In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.

    Keywords: optimal controlflowtankscoupled tanks

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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    2014-John_Cimbala-Dynamic System Response
    In this learning module, we discuss the dynamic system response of sensors and their associated electronic circuits.

    Keywords: sensor networksoscillationssystem responseelectronic circuit

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    1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
    This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.

    Keywords: dynamical systems

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    5-030-LinNonHomoSystemSol-TechniqueNarrative
    We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n

    Keywords: strategiesdiscovery learningeigenvectorseigenvalue

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    Examining the Physiology Behind the Symptoms of Lactose Intolerance
    This is a set of extension questions for the HHMI short film The Making of the Fittest: Got Lactase? The Co-evolution of Genes Video Activity.
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    6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A

    Keywords: algaepopulationMexicoqualitativecompartmentlinearizationJacobianlaknondimensionalizationpplane

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    2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
    As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data...

    Keywords: immune systemyellow fevercomputational immunologycomputational vaccinology

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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

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    Science Behind the Lesson: It's a Bird! It's a Plane! It's Biomechanics!
    Active flight is a specialized mode of movement found in insects, birds, and mammals. The anatomy, morphology, physiology, and ecology of flying taxa has changed over evolutionary time. Researchers...

    Keywords: EvolutionecologybatphysiologyAnatomybiomechanicsbirdFlightinsect

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    2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
    This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.

    Keywords: diabeteshealth model

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