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    Potential Scenario
    119

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    2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
    We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.
    NetLogospring massagent-baseddrapingyarnfabric
    Potential Scenario
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    42

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    2015-Just-Callender-Differential equation models of disease transmission
    The work give full analyses of standard epidemic model and then shows how to do it with differential equations and agent-based modeling. Then it compares the results.
    disease transmissionSIR modelsepidemicagent-based
    Potential Scenario
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    57

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    2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly
    We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.
    simulationNetLogopredator-preyagent-basedwolffox
    Potential Scenario
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    49

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    2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
    Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
    bacteriaagent-basedpopulationbrod-shapedcellular growth
    Potential Scenario
    116

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    82

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    2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
    For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
    cancertumorfittingagent-based
    Potential Scenario
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    36

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    2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
    Individual & Agent Based Modelingpredator-preythink-pair-shareslynxrefugeprey switchingMustela-Clethrionomys systempatter oriented
    Potential Scenario
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    46

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    2008-Huet-Deffuant-Differential Equation Models Derived from an Individual-Based Model Can Help to Understand Emergent Effects
    We study a model of primacy effect on individual's attitude. Typically, when receiving a strong negative feature first, the individual keeps a negative attitude whatever the number of moderate positive features it receives afterwards.
    agent-based modelprimacy effectinformation filteringaggregated modelcollectiveinteractionsdouble-modelling
    Potential Scenario
    133

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    68

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    2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
    To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.
    simulationagent-based modelingallee_effectPassenger Pigeonsforest envirnomentHolling Type III functional responseBio-energeticstree distributions
    Free Online Textbook
    103

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    42

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    2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
    Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
    textbooktext
    Potential Scenario
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    60

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    2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
    This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with real-world policy questions that the tools can help...
    infectious diseaseecosystemepidemicmodel policy
    Potential Scenario
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    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence and uniqueness of solutions of this model. In
    biologyDiffusionKeller-Segel modelchemotaxiscrime
    Potential Scenario
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    34

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    2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
    Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.
    liverwortsintraveneouspharmacokineticsethanolethanol infustionpharmacodynamictissue model
    Potential Scenario
    130

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    40

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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
    Potential Scenario
    129

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    2006-Salem-Abudiab-Labview-An Interactive Teaching Tool for a Differential Equations Class
    It is evident that computer based learning has become an essential part of education systems. It provides animation and interactive processes that are not possible with textbooks.
    javavisualizationvirtual labpendulumLabviecomputer assisted instructionharmonic motion
    Potential Scenario
    154

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    46

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
    population dynamicslogisticInquiry-based modelingIBL
    Potential Scenario
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    34

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    2012-Gilbert_Koch-Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis
    In this work we develop preclinical PKPD models based on fundamental biological and pharmacological principles. Equipped with a PKPD model, different dosing schedules could be simulated.
    cancerpharmacodynamicsPKPD modelarthritisPharmacokineticanticancer
    Potential Scenario
    114

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    35

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    2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
    The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as faculty development.
    time of deathNewton's aw of cooling
    Potential Scenario
    101

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    50

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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
    infectious diseasebibliographyepidemiccowpoxsmallpoxcomplex networksspread disease
    Potential Scenario
    102

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    42

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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
    infectious diseaseepidemiccowpoxsmallpoxcomplex networks
    Free Online Textbook
    96

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    42

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    2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
    Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.
    Galerkin