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    6-005-InsectColonySurvivalOpt-ModelingScenario
    We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

    Keywords: optimizationOptimal Control Theoryinsect colonyoptimal controlnatural resourcesPointryagin's Maximum Principlecontrol variable

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    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.

    Keywords: experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
    In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and...

    Keywords: diseaseendemicreproduction numbertungiasisjigger infestation

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    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological...

    Keywords: protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular

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    Cladistic Analysis Lesson Using Bats
    Phylogenetic analysis can be a challenging concept to grasp for undergraduate biology students. This cladistic analysis lesson utilizes the amazingly diverse Order Chiroptera as a model to...

    Keywords: batsphylogeny and classificationVertebrate Morphologycladistic analysisbat evolution

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    3-069-HeatInBar-ModelingScenario
    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.

    Keywords: heat transferexperimentconductionconvectionboundary conditionsfinite volume method

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    The Science Behind the ACTN3 Polymorphism
    A common polymorphism in the alpha-actinin-3 (ACTN3) gene results in the lack of ACTN3 protein expression in fast twitch muscle fibers in ~16% of the human population (1). This genetic change has...

    Keywords: protein structure and functionhuman genetic variationskeletal muscle physiology

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    Using the Hardy-Weinberg Equations: Quantifying Natural Selection and Allele Frequencies
    This module contains exercises designed to walk students through a real-world example of the coevolution of fruit color and primate frugivore color vision. Students will apply the Hardy-Weinberg...

    Keywords: Hardy-WeinbergEvolutionintroductory biologyQuantitative reasoninginterdisciplinaryNIQBC2. Data and GraphsC4. mathematical modelsC3. Statistical AnalysisC6. Quantitative LanguageC1. Numeracy

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    2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
    The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.

    Keywords: Fredholm integral equation ofLeontief’s modelmacroeconomic processes

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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    6-021-AcornsRodentsSnakes-ModelingScenario
    Students are given the opportunity to build a three tropic level model in which snakes eat rodents, rodents eat acorns, and acorns grow and occasionally mast.

    Keywords: predationforestsnakesrodentsacornstrophic levelmasting

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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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    Breaking Bricks: A Hands-On Model of Enzyme Kinetics and Inhibition
    Enzyme kinetics and the impacts of inhibitors on the enzyme's maximal velocity and ability to bind substrates are important topics in cell biology and biochemistry. However, these topics can be...

    Keywords: kineticsEnzymecompetitive inhibition

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    A Modeling Exercise in Sexual Selection using a Student-Created Bird Species
    Evolution-centered lessons at the undergraduate level can often be jargon-heavy, propagate misconceptions if taught ineffectively, and be uninteresting to students who may not see the relevancy of...

    Keywords: Evolutionfitnesssexual selectionNatural Selectionintersexual selectionmate choice

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    Taking the Hassle out of Hasselbalch
    Mention pH in a classroom and you can almost see the inner yawn on the faces of your students. The definition may even roll easily from their lips. However, despite multiple exposures to the...

    Keywords: pHdrug uptakeHenderson-Hasslbalch equationmedical applicationspKa

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    A Momentum-First Approach to Newton’s Second Law
    Students frequently struggle with seeing the connection between forces and motion in introductory physics. This lesson is part of a combined momentum and kinematics unit that first teaches...

    Keywords: group workMomentumNewton's Laws

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    A Simple Method for Predicting a Molecule's Biological Properties From Its Polarity
    The distinction between very polar and less polar substances is a foundation of biochemistry, cell biology, and physiology; it surfaces in multiple concept inventories and elaborations of...

    Keywords: Diffusionsolubilitycovalent bondshydrophilichydrophobicpartition coefficientplasma membranepolarity

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    Make It Stick: Teaching Gene Targeting with Ribbons and Fasteners
    Manipulating gene expression is a commonly used tool to study the effect of a single gene or the hierarchy of gene networks in many different biological disciplines. When working with mice, the...

    Keywords: mathematical modelhomologous recombinationCre/loxgene targeting

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    Using Undergraduate Molecular Biology Labs to Discover Targets of miRNAs in Humans
    Incorporating authentic research experiences into undergraduate labs, while shown to be particularly effective at engaging and retaining students in STEM majors, can be difficult to accomplish...

    Keywords: gene regulationmicroRNAsgene expression

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