Tags: system

All Categories (41-60 of 113)

  1. 1-108-S-PoissonProcess

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

    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

  2. 9-001-Text-S-SkinBurnModelNumericalMethods

    18 Aug 2018 | | Contributor(s):: Suruchi Singh

    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...

  3. 6-007-S-FunctionsAndDerivativesInSIRModels

    12 Aug 2018 | | Contributor(s):: Meredith L. Greer

  4. 6-018-S-ExploringSIRModel

    30 May 2018 | | Contributor(s):: Ryan Edmund Miller, Stanley F Florkowski

    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 understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting SIR...

  5. 6-070-S-BeerBubbles

    24 Apr 2018 | | Contributor(s):: Michael Karls

    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.  The system solution is then used to verify...

  6. 2017-Karam Allali, Adil Meskaf, and Abdessamad Tridane - Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection

    07 Mar 2018 | | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane

    Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13...

  7. 2003-Rasmussen, Chris and  Michael Keynes - Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations

    03 Mar 2018 | | Contributor(s):: Chris Rasmussen, Michael Keynes

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320.See - https://www.tandfonline.com/doi/abs/10.1080/10511970308984065 .Abstract: The purpose of this paper is to describe an...

  8. 2011-Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart - Use of optimal control models to predict treatment time for managing tick-borne disease

    03 Mar 2018 | | Contributor(s):: Holly D. Gaff

    Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tick-borne disease. Journal of Biological Dynamics. 5(5): 517-530.See https://www.tandfonline.com/doi/full/10.1080/17513758.2010.535910 .Abstract: ...

  9. 2009-Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur - Bioeconomic harvesting of a pre-predator fishery.

    03 Mar 2018 | | Contributor(s):: Tapasi Das

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Abstract: This paper deals with the problem of non-selective harvesting of a...

  10. 2005-Sprott, J. C. - Dynamical Models of Happiness.

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

    Sprott, J. C. 2005. Dynamical Models of Happiness. Nonlinear Dynamics, Psychology, and Life Sciences. 9(1): 23-35.See https://sprott.physics.wisc.edu/pubs/paper281.pdf.Abstract: A sequence of models for the time evolution of one’s happiness in response to external events is...

  11. 2007-Zenker S, J. Rubin, and G. Clermont - From inverse problems in mathematical physiology to quantitative differential diagnoses.

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

    Zenker S, J. Rubin, and G. Clermont. 2007. From inverse problems in mathematical physiology to quantitative differential diagnoses. PLoS Comput Biol.  3(11): e204.See https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.0030204. Abstract: The improved...

  12. 2016-Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright - Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse

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

    Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright. 2016. Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse. Journal of Microbiology & Biology Education. 17(1): 137-142.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4798798/...

  13. 2014-Easton, Jonathan - Mathematical models of health focusing on diabetes: Delay differential equations and data mining. PhD Thesis. 

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

    Easton, Jonathan. 2015.  Mathematical models of health focusing on diabetes: Delay differential equations and data mining . PhD Thesis.  Northumbria University Newcastle.See http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have...

  14. 1988-Strogatz, Steven H. - Love Affairs and Differential Equations.

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

    Strogatz, Steven H. 1988. Love Affairs and Differential Equations. Mathematics Magazine. 61(7):  35.See http://ai.stanford.edu/~rajatr/articles/SS_love_dEq.pdf .This is a system of differential equations to describe the love between Shakespeare’s Romeo and...

  15. 2017-Adler, Fred - Mathematically Modeling Asthma. Blog Posting.

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

    Adler, Fred. 2017 Mathematically Modeling Asthma. Blog Posting.  3 pp.See https://sinews.siam.org/Details-Page/mathematically-modeling-asthma . Accessed 9 October 2017.From the article, “Asthma—like diabetes, heart disease, and cancer—does not have a single...

  16. 2017-Ramsay, Jim - 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...

  17. 2011-Cao, J., L. Wang, J. Xu - 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.See https://pubmed.ncbi.nlm.nih.gov/21401565/ .Abstract: Applied scientists often like to use ordinary differential equations (ODEs) to model complex dynamic...

  18. 2009-Wilson, R. Eddie - 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 Flow. Presentation 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...

  19. 2015-Enderling, Heiko - Integrating experimental data to calibrate quantitative cancer models. preprint.

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

    Enderling, Heiko. 2015. Integrating experimental data to calibrate quantitative cancer models. Preprint.  3 pp.See https://www.biorxiv.org/content/10.1101/032102v1.Abstract:  For quantitative cancer models to be meaningful and interpretable the number of unknown parameters...

  20. 2017-Krueger, Justin M. - Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology. PhD Thesis.

    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...