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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    Metabolism for Energy and the Respiratory Quotient
    This module introduces the respiratory quotient in the context of understanding how metabolism is affected by environmental conditions. It is intended for an introductory biology audience.
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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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    5-010-DNADegradation-ModelingScenario
    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters...

    Keywords: DNA\kinetisplasmaratpharmacokinetis

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    2016-Erno_Keszei-Chemical Kinetics for Beginners
    The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.

    Keywords: kineticszeroth order reactionfirst order reactionsecond order reactionreaction ratesthird order reaction

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    1-050-BargingAhead-ModelingScenario
    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.

    Keywords: optimizationkineticsenergytrophic efficiencyworkriverterminal velocityfrictioncurrentforcebargeworlkspeed

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    Efficiency of ATP Prodution
    This module introduces the efficiency of ATP production in the context of understanding glycolysis and endergonic reactions. It is intended for an introductory biology audience.

    Keywords: RatiosOpenStaxCellular ProcessesEndergonic ReactionsATPGlycolysis

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    Cellular Respiration and pH: blocking the electron transport chain and its effects on the proton gradient, pH, and ATP production
    This module contains exercises designed to help students describe the stages of cellular respiration and quantify the energy molecules produced. Students will predict the region of higher proton...

    Keywords: introductory biologyQuantitative reasoningquantitative biologyinterdisciplarycell functionInterpreting GraphsATPpHCellular RespirationEnergy transformationsElectron flowNIQBC2. Data and GraphsC4. mathematical modelsC1. Numeracyproton gradientelectron transportelectron transport blockersFADH2chemiosmosisATP synthaseNADHproton concentration

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    1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
    The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.

    Keywords: kineticsnonlinear regressionsum of square errorsMonodlinearizemineralizationsubstratescarbonaceous

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    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without...

    Keywords: delayHIV-1T cellscombination antiviral therapy

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    2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
    This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.

    Keywords: spring massstiffnessspringspotential energyforcenonlinear springlinear spring

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    2013-Kose-Kunze-Climate Modeling in the Calculus and Differential Equations Classroom
    We introduce here the basic principles of climate science for a one-dimensional Energy Balance Model (EBM),

    Keywords: climate changeEnergy Balance Modelsice albedo

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    Integrating the modeling of biogeochemical cycles and energy flow
    This in-class activity challenges students to create and then integrate models of how carbon, nitrogen, water and energy all move within an ecosystem. Using 15 provided standard pools, they work...

    Keywords: modelingecologyintegration4DEE FrameworkBiogeochemical cycles

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    A Lesson on Matter and Energy at the Organismal Scale: Linking Patterns and Processes Across Diverse Taxa
    Pathways and transformations of energy and matter (PTEM) are a conceptually challenging but essential component of biological literacy. Curricular gaps about PTEM nevertheless remain; although...

    Keywords: plantsenergyAnimalsfungimatterorganismal scale

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    Learn Biological Sciences and Mathematics through cellular respiration, photosynthesis and primary productivity.
    Photosynthesis is a process by which plants synthesize glucose and oxygen in presence of sunlight through light dependent reactions by utilization of sunlight, water to synthesize oxygen, ATP and...

    Keywords: mathematicssimulationThe Analysis of Biological DataMetabolic Pathwaysprocess of sciencephotosynthesisqbccBiological ScienceshypothesisCellular Respirationprimary productivity

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    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...

    Keywords: Torricelli's LawConservation of EnergytConservation of MassBernoulli’s Theorem

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    2008-Claire_Vailance-Reaction_Kinetics-Course_Notes
    This is but one of several set of notes which may interest the reader on chemical kinetics.

    Keywords: kineticsparametersrate constantchemical kineticsreactions

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    The Carbon Cycle, Climate Change, and Feedback Loops
    I combined material from the Carbon, Climate and Energy Resources Module and the Changing Biosphere Module to help students understand climate change, the carbon cycle, and feedback loops in my...
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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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    2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
    We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.

    Keywords: infectionHIVT cells

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