Tags: parameter estimation

Teaching Materials (1-17 of 17)

  1. 1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits

    02 Apr 2023 | Teaching Materials | Contributor(s):

    By Meyer Perrin

    NA

    This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.

    https://qubeshub.org/publications/3938/?v=1

  2. 1996-D_Erdman-MM_Morelock-A Study of Kinetics

    26 Mar 2023 | Teaching Materials | Contributor(s):

    By Donald Erdman

    NA

    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.

    https://qubeshub.org/publications/3865/?v=1

  3. 2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation

    13 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    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.

    https://qubeshub.org/publications/3813/?v=1

  4. 2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Chemical_Kinetics

    13 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We estimate the parameters present in several differential equation models of chemical kinetics and logistic growth.

    https://qubeshub.org/publications/3812/?v=1

  5. 2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth

    13 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and...

    https://qubeshub.org/publications/3811/?v=1

  6. 2021-Brian_Winkel-Modelling_sublimation_of_carbon_dioxide

    12 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.

    https://qubeshub.org/publications/3801/?v=1

  7. 1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall

    11 Mar 2023 | Teaching Materials | Contributor(s):

    By M. Peastrel

    NA

    This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern...

    https://qubeshub.org/publications/3782/?v=1

  8. 2009-Brian_Winkel-Population_modelling_with_MandMs

    11 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.

    https://qubeshub.org/publications/3780/?v=1

  9. 2009-Brian_Winkel-Modelling_Growth_Of_an_OilSlick

    10 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    An oil-slick spreads at sea. From time to time, but irregularly, a helicopter is dispatched. On each trip, it arrives over the slick, the pilot takes a picture, waits 10 minutes, takes another, and...

    https://qubeshub.org/publications/3777/?v=1

  10. 2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models

    09 Mar 2023 | Teaching Materials | Contributor(s):

    By Frank Weber

    NA

    This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).

    https://qubeshub.org/publications/3750/?v=1

  11. 2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations

    08 Mar 2023 | Teaching Materials | Contributor(s):

    By Yueqin Hu

    NA

    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.

    https://qubeshub.org/publications/3742/?v=1

  12. 3-030-SecondOrderIntro-ModelingScenario

    05 Jul 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    https://qubeshub.org/publications/3172/?v=2

  13. 6-001-Epidemic-ModelingScenario

    13 Jun 2022 | Teaching Materials | Contributor(s):

    By Sheila Miller

    Formerly of New York City College of Technology, City University of New York, Brooklyn NY USA

    This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the...

    https://qubeshub.org/publications/2956/?v=1

  14. 3-030-SecondOrderIntro-ModelingScenario

    20 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and...

    https://qubeshub.org/publications/3172/?v=1

  15. 1-019-RocksInTheHead-Modeling Scenario

    06 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a...

    https://qubeshub.org/publications/2946/?v=1

  16. 1-018-LogisticPopModel-ModelingScenario

    02 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    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...

    https://qubeshub.org/publications/2964/?v=1

  17. Disease Spread Simulation with M&M's and Information on the wider SIMIODE community

    13 Feb 2018 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    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

    https://qubeshub.org/publications/358/?v=1