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    1989-Protopopescu-Santoro-Dockery-Combat modeling with partial differential equations
    We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects.

    Keywords: combatLanchester

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    1-005C-OilSlick-ModelingScenario
    We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate.

    Keywords: Problem Solvingoil slickspreadfittinglineassumptions

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    A “Rule-of-Five” Framework for Models and Modeling
    In this paper, we extend the “Rule-of-Four,” initially used in calculus reform efforts, to a “Rule-of-Five” framework for models and modeling that is inclusive of varying disciplinary definitions...
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    Pain Medication Treatment Modeling Project
    This classroom modeling project applies mathematical techniques to solve a problem related to drug dosage patterns. Suitable for high school or undergraduate students. Prerequisite: Calculus I.

    Keywords: Mathematical Biologycalculusexponential decayrecursionabsorptionelimination

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    Disease Spread Simulation with M&M's and Information on the wider SIMIODE community
    This is a Student Version of a Modeling Scenario from the community, SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations at www.simiode.org

    Keywords: resourcesdifferential equationsmodelingsimulationmoduledataepidemicsdiseasecommunityapplied mathematicsResources @ SIMIODEretinal surgeryinsect colonyLSDm&mparameter estimationin-class activityproject

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    3-100-Ripcord-Toys-ModelingScenario
    This modeling scenario examines the motion of a ripcord-powered toy with the goal of using real data to estimate parameters in a first-order model of the velocity of the toy. Students may conduct...

    Keywords: dataphysicsdynamicsdata collectionrollingslippingripcordtoy

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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...

    Keywords: anesthesiapharmacokineticspharmacodynamicanesthetic

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    2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
    After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological...

    Keywords: stochasticSIR modeldeterministicincubationinfectives

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    Discrete Math Modeling with Biological Applications (Course Materials)
    These are the materials for Math 214 offered at Rhodes College.

    Keywords: labsagent-based modelingDiscrete Difference Equationsmatrix modelscoursebiomath coursedemonstrationin-class activitylab protocolproblem set

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    2017-Guy-Bart_Stan-Modelling in Biology
    This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.

    Keywords: spring massbifurcationmass actionlimit cycles

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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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    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.

    Keywords: logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation

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    2005-DieboldEtAl-Modeling Bond Yields In Finance And Macroeconomics
    From a macroeconomic perspective, the short-term interest rate is a policy instrument under the direct control of the central bank. From a finance perspective, long rates are risk-adjusted averages...

    Keywords: financeinterest ratebond yieldmacroeconomics

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    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...

    Keywords: exponential growthsolutionslinear systemsdecayconjecture

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    1-054-GrowthInFarmland-ModelingScenario
    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model,...

    Keywords: fittingfarmfarmland

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    3-072-EarthQuakePartI-ModelingScenario
    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.

    Keywords: earthquakevibrationamplituderesonanceundampedspring-mass system

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    6-018-ExploringSIRModel-ModelingScenario
    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...

    Keywords: population dynamicssensitivitydiseaseSIR modelsepidemicrumors

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    1-018-LogisticPopModel-ModelingScenario
    We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining...

    Keywords: data analysisparameter estimationlogisticCiliate protozoapopulationlimited growthparameciaGause

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    Cell Collective: Learning biology with modeling and simulations
    Cell Collective is an online, research-grade modeling platform adapted to engage students in creating and simulating dynamic models of biological processes.

    Keywords: modelingsimulationSimulationsCell Collective

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    Neighborhood Fences and Gates
    This classroom modeling project targets the competency of proposing functions that meet certain properties and features, which is part of many modeling processes. It is suitable for high school or...

    Keywords: function fittingcultural context

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