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    Potential Scenario
    1087

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    43

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    2000-Erdman-Morelock-A Study of Kinetics The Estimation and Simulation of Systems of First-Order Differential Equations
    This paper introduces new and old features of the SAS System for the estimation and simulation of systems of first-order differential equations with emphasis on examples in kinetics.
    kineticsSAScompartmentpharmacokinetics
    Potential Scenario
    160

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    54

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    0

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    2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
    simulationparameter estimationshoppingfittingbehaviour
    Article or Presentation
    182

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    55

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    0

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    2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
    We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
    dataparameter estimationparameterlogistic equationsource
    Article or Presentation
    217

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    65

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    0

    comments

    2009-Brian_Winkel-Population_modelling_with_MandMs
    Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.
    simulationparameter estimationimmigrationdeathdifference equation
    Potential Scenario
    116

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    52

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    0

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    2007-Exben_Friis-Jensen-Modeling and Simulation of Glucose-Insulin Metabolism
    In this thesis one of the models of diabetes, Bergman’s minimal model is described trough derivation and simulations.
    Metabolisminsulin resistanceglucosePID controllerintolerance
    Potential Scenario
    304

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    54

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    0

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    1976-JG-Wagner-Computers in pharmacokinetics
    This is a seminal paper in pharmacokinetics in which the author introduces historic notions and approaches. As can be seen from the abstract there is a variety of material here.
    kineticscomputerparametersPharmacologydrugspharmacokinetics
    Potential Scenario
    108

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    59

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    0

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    2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
    This article describes an equation of motion for a waggling pendulum.
    resonanceinverted pendulummechanicsdamped pendulum
    Potential Scenario
    245

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    63

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    0

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    2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
    Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical relations and then tested based on empirical data.
    simulationdiseasevirusviral infection
    Modeling Scenario
    223

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    111

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    0

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    6-045-CholeraTranmission-ModelingScenario
    During the project described here, the students will learn how to solve and address a practical problem such as cholera transmission using various mathematical tools.
    infectious diseasecholeraendemicdisease-freetransmission ratewaterborne pathogen
    Potential Scenario
    236

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    82

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    0

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    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
    microbiologyLotka Volterrramicrobiota
    Potential Scenario
    274

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    94

    downloads

    0

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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
    122

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    47

    downloads

    0

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    2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
    In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
    epidemiccompartmentpolitical parties
    Potential Scenario
    204

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    26

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    0

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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
    Modeling Scenario
    468

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    355

    downloads

    1

    comments

    3-104-BungeeJumping-ModelingScenario
    In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
    designfallingmassspring\bungeeelesticityrecommendationconsult
    Modeling Scenario
    428

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    96

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    0

    comments

    6-017-OncolyticViruses-ModelingScenario
    Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.
    cancercancer-immune dynamicsimmune suppressor drugoncolytic virusvirotherapy
    Potential Scenario
    131

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    48

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    0

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    2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
    The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data interpretation and decision making.
    physiologyinverse problem
    Potential Scenario
    132

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    42

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    1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
    A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
    sensitivity analysisstability analysissteady statesgrowing pointsbudsmeristems
    Article or Presentation
    161

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    57

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    0

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    1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
    The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
    simulationguerilla warfarewarfarecombat
    Technique Narrative
    365

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    192

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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
    random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus
    Modeling Scenario
    311

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    299

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    6-002-EulerCromerPendulum-ModelingScenario
    This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method and the higher-order Improved Euleror algorithm.
    pendulumsemi-implicit methodsEuler-Cromernumerical solvers