Tags: parameter estimation

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  1. 1-107-S-ClothDry

    27 Apr 2019 | | Contributor(s):: Brian Winkel

    We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

  2. 1-125-S-DiceyPopulations

    04 Mar 2019 | | Contributor(s):: Brian Winkel

    We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

  3. 3-043-S-BallisticModeling-SpongeDart

    20 Nov 2018 | | Contributor(s):: Jean Marie Linhart, Peter Howard

    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

  4. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | | Contributor(s):: Brian Winkel

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  5. 1-053-S-SlimeSpread

    30 Aug 2018 | | Contributor(s):: Brian Winkel

    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

  6. 1-141-S-M&MGameRevisited

    27 Aug 2018 | | Contributor(s):: Mehdi Hakim-Hashemi

    In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

  7. Two competing populations: simulations with differential equations

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan

    Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

  8. Wandi Ding - Experience and Lessons Learned from Using SIMIODE Modeling Scenarios

    19 Jan 2018 | | Contributor(s):: Wandi Ding

    Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at...

  9. Bill Skerbitz - The Logic of Logistics

    19 Jan 2018 | | Contributor(s):: Bill Skerbitz

    The Logic of LogisticsBy Bill Skerbitz, Wayzata High SchoolA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13 January 2018  

  10. Dan Teague - Comparing Simulations with Solutions for Classical Differential Equation Models

    18 Jan 2018 | | Contributor(s):: Dan Teague

    Comparing Simulations with Solutions for Classical Differential Equation Models By Daniel J. Teague, North Carolina School of Science and Mathematics  A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at...

  11. 2000-deOliveraEtAl-PinholeWaterFlowFromCylindricalBottles

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    2000. deOlivera, Paulo Murilo Castro, Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite.  Pinhole Water Flow From Cylindrical Bottles. Phys.Educ. 35(2): 110-119.From the opening of the article,  "We performed an experiment on elementary hydrodynamics. The...

  12. 2012-Urbano-The Draining of a Plastic Bottle

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    2012-Urbano, Lensyl. The Draining of a Plastic Bottle: Integrating a Physics Experiment into Calculus.  Montessori Muddle. http://montessorimuddle.org/2012/05/01/the-draining-of-a-jug-integrating-a-physics-experiment-into-calculus/ . Accessed 9 October 2017.Abstract: I punched a small hole...

  13. 1971-BoyesEtal-Lidocaine In Man

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    Boyes, R. N., D. B. Scott, P. J. Jebson, M. J. Godman, and D. G. Julian, M.D. 1971. Lidocaine in Man.  Clinical Pharmacology and Therapeutics. 12(1): 105-116.Abstract: Plasma levels of lidocaine were measured in 5 normal male volunteers following both intravenous and oral administration of...

  14. Ramsay-From Data To Differential Equations

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Ramsay, Jim.  From Data To Differential Equations. Presentation. 52 slides.Themes:Differential equations are powerful tools for modeling data.There are new methods for estimating differential equations directly from data.Some examples are offered, drawn from chemical engineering and...

  15. 2011-CaoEtAl-Robust Estimation for Ordinary Differential Equation Models

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Cao, J., L. Wang, J. Xu. 2011. Robust estimation for ordinary differential equation models. Biometrics.  67(4): 1305-13.Abstract: Applied scientists often like to use ordinary differential equations (ODEs) to model complex dynamic processes that arise in biology, engineering, medicine and...

  16. 2009-Wilson-Differential Equation Models for Forecasting Highway Traffic Flow

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Wilson, R. Eddie. 2009. Differential Equation Models for Forecasting Highway Traffic FlowPresentation at Conference on Traffic Modelling. The Open University, Milton Keynes, UK. 31 March. 32 slides. This talk builds the mathematical model for traffic flow and addresses the issues of...

  17. 2015-Enderling-Integrating experimental data to calibrate quantitative cancer models

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Enderling, Heiko. 2015. Integrating experimental data to calibrate quantitative cancer models . Preprint.  3 pp.Abstract:  For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. Experimental data can be utilized to...

  18. 2017Krueger-Parameter Estimation Methods in Microbioloogy

    21 Sep 2017 | | Contributor(s):: Brian Winkel

    Krueger, Justin M. 2017. Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology. PhD Thesis. 109 pp.Abstract: The compositions of in-host microbial communities (microbiota) play a significant role in host health, and a better understanding of the...

  19. WangEtAl-Estimating Mixed-Effects Differential Equation Models

    21 Sep 2017 | | Contributor(s):: Brian Winkel

    Wang, L., J. Cao 1 , J. O. Ramsay, D. M. Burger , C. J. L. Laporte, and J. K. Rockstroh. Estimating Mixed-Effects Differential Equation Models. Paper. 30 pp. Abstract: Ordinary differential equations (ODEs) are popular tools for modeling complicated dynamic systems in many areas. When multiple...

  20. 2008-BrewerEtAl-Fitting ordinary differential equations to short time course data

    21 Sep 2017 | | Contributor(s):: Brian Winkel

    Brewer, D., M. Barenco, R. Callars, M. Hubank, and J. Stak. 2008. Fitting ordinary differential equations to short time course data. Phil. Trans. R. Soc. A. 366: 519–544.Abstract: Ordinary differential equations (ODEs) are widely used to model many systems in physics, chemistry,...