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    Potential Scenario
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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.
    kineticszeroth order reactionfirst order reactionsecond order reactionreaction ratesthird order reaction
    Potential Scenario
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    1989-EY_Rodin-K_Egan-Mathematics modelling of the rate of chemical reactions
    The development of improved designs for chemical reactors as well as the prediction of optimal operating conditions in chemical production are based on an understanding of the rates at which chemical processes occur.
    kineticsfirst orderreactionsecond orderzeroth order
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    2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
    We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
    kineticschemical kineticszeroth order reactionfirst order reactionsecond order reaction
    Potential Scenario
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    1967-Israelsson- Johnsson-Circumnutations In Helianthus Annuus
    A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.
    plantoscillationdelaycircumnutationturning
    Potential Scenario
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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 excellent diagrams and explanations.
    population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling
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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.
    kineticsnonlinear regressionsum of square errorsMonodlinearizemineralizationsubstratescarbonaceous
    Potential Scenario
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    2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
    The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and non-anesthesiologists an overview of the rules to...
    anesthesiapharmacokineticspharmacodynamicanesthetic
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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.
    kineticsparametersrate constantchemical kineticsreactions
    Potential Scenario
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    1989-R_Blickhan-Spring Mass Model For Running-Hopping
    A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
    spring massjumpjumping
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    2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
    The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.
    bindingreactionchemical kineticsdeterministicBiochem Labsprobabilistickinetic reaction
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    2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
    The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.
    kineticsbiochemical reactionreactantsproducts
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    2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
    These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
    biochemicalkineticsreactionreaction networkmass action
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    2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
    Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.
    dynamical systemschemical reactionreaction networkmass action
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    2008-Fogler-etAl-Elements of Chemical Reaction Engineering  Strategies for Creative Problem Solving
    This is a website with lots of modeling information, exercises, and lessons.
    chemical reaction
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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
    driving functionviscousmechanical system
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    2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
    This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.
    knowledge diffusionstationary distributionsproductivity distributionreaction-diffusion equationsquasi-stationary distributions
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    2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
    We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.
    kineticsEnzymesubstratenondimensionalizationmultiple timescales
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    2009-Peter-Howard-Modeling With ODE
    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.
    ratescompetitionpopulationepidemicpendulumcarbon datingreaction chemistrymechanicsplanetary motiondrag racingHamilton’s methodvariational method
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    2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
    A simple method for estimation of parameters in first order systems with time delays is presented in this paper.
    delaytime delystep response
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    2012-Ogunrinde-Sunday-On some models based on second order differential equation
    This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum inventory level of a firm.
    species interactionpricing policyoptimal inventory