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  1. 1977-MackeyGlass-Oscillation and Chaos in Physiological Control Systems

    26 Jun 2015

    Mackey,  Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.Article Abstract: First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of...

  2. 1977-MackeyGlass-Oscillation and Chaos in Physiological Control Systems

    26 Jun 2015

    Mackey,  Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.Article Abstract: First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of...

  3. 2015-Nelson-Differential Equations and a Poster Project

    25 Jun 2015 | Potential Scenario Ideas

    Nelson, Dawn.Differential Equations and a Poster Project. Department of Mathematics, Bates College, Lewiston ME.  http://abacus.bates.edu/~dnelson/DE_port.pdf. Accessed 22 June 2015. This is a wonderful assignment sheet with all attendant pedagogical and instrutional materials for students...

  4. ODEs Models in Systems Biology

    24 Jun 2015 | Presentations

    Altafini, Claudio. 2007. ODEs Models in Systems Biology - Lecture 5 & 6. 27 pp. http://people.sissa.it/~altafini/teach/SISSA07/lect07D-prn-2.pdf . Accessed 22 June 2015.This is a set of slides for two lectures given in 2007 and contains materials on elementary reaction kinetics, enzyme...

  5. 2011-Zhao-Systems Biology - Differential Equations - Survey

    24 Jun 2015 | Potential Scenario Ideas

    Zhao, D. I. 2011. Differential Equation Models for  Systems Biology:  A Survey. Computational Analysis and Modeling, Lousiana Tech University, Ruston LA USA.  30 pp. http://www.advancedcomputing.cn/sys_bio_review.pdf . Accessed 22 June 2015. Abstract:  In this paper, we will...

  6. Notes-Qualitative Analysis of Differential Equations

    22 Jun 2015 | Articles and Publications

    Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. http://www-binf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations, exercises, and some...

  7. Notes-Mathematical Modeling and Ordinary Differential Equations

    22 Jun 2015 | Articles and Publications

    Chern, I-Liang. 2008. Mathematical Modeling and Ordinary Differential Equations. Notes. Department of Mathematics, National Taiwan University.  http://scicomp.math.ntu.edu.tw/wiki/images/c/c0/Chern_ode.pdf . Accessed 22 June 2015.This a set of notes using Maple and tied to a version of Boyce...

  8. Traffic Flow Modeling Using Second Order Ordinary Differential Equations

    22 Jun 2015 | Articles and Publications | Contributor(s): Karen Bliss

    Mark McCartney.2004. Keep your distance! using second-order ordinary differential equations to model traffic flow. International Journal of Mathematical Education in Science and Technology. 35(4): 588-596,Article Abstract: A  simple  mathematical  model  for  how ...

  9. 2001-EdwardsBuckmire-Differential Equation Models of Cinematic Box-Office Dynamics

    20 Jun 2015 | Potential Scenario Ideas

    Edwards, David A. and Ron Buckmire. 2001. A differential equation model of North American cinematic box-office dynamics. IMA Journal of Management Mathematics. 12: 41-74. Article Abstract: A new mathematical model is presented for the box-office dynamics of a motion picture released in North...

  10. 2008-FoglerGurmen-Elements of Chemical Reaction Engineering

    20 Jun 2015 | Potential Scenario Ideas

    Fogler, H. Scott and M. Nihat Gurmen. 2008. Elements of Chemical Reaction Engineering:  Strategies for Creative Problem Solving. http://www.umich.edu/~elements/07chap/html/07prof5.htm. Accessed 12 March 2015. This is a website with lots of modeling information, exercises, and lessons. The...

  11. 2007-MyersWinkel-Mystery Circuit Analysis

    20 Jun 2015 | Potential Scenario Ideas

    Myers, Joseph and Brian Winkel. 2007.  Mystery Circuit in Mathematics Class.  The UMAP Journal. 28(1): 15-25. Article Abstract:  We discuss the introduction, student discovery, and teaching of a system of differential equations that model a circuit. In an engineering mathematics...

  12. 1999-MeadeStruthers-Parachute Problem

    20 Jun 2015 | Potential Scenario Ideas

    Meade, Douglas B. and Allan A. Struthers. 1999. Differential Equations in the New Millennium:  The Parachute Problem. International Journal of Engineering Education.  15(6): 417-424. Article Abstract: Introductory courses in differential equations have traditionally consisted of a long...

  13. 1981-NielsenRosenfeld-Substantive Interpretations of Differential Equation Models in Sociology

    20 Jun 2015 | Potential Scenario Ideas

    Nielsen, Francois and Rachel A. Rosenfeld. 1981.  Substantive Interpretations of Differential Equation Models.  American Sociological Review.  46: 159-174. This paper offers a rich (albeit captured in 1981) set of materials on using differential equations in sociology. The examples...

  14. 1992-Kenney-Differential equations and the AIDS epidemic

    20 Jun 2015 | Potential Scenario Ideas

    Kenney, Emelie A. 1992.  Differential equations and the AIDS epidemic: a lecture for Calculus II Students.  PRIMUS. 2(4): 386-392. Article Abstract:  This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study...

  15. 1966-IntriligatorBrito-Predator-Prey Model of Guerrilla Warfare

    20 Jun 2015 | Potential Scenario Ideas

    Article Review and Annotation Intriligator, Michael D.  and Dagobert L. Brito. 1988.  A Predator-Prey Model of Guerrilla Warfare. Synthese . 76(2): 235-244. Special issue: Formal Analysis in International Relations. Excerpt from Article Abstract: “The purpose of this paper is to...

  16. 1975-Griffel-Teaching Formation of Differential Equations

    20 Jun 2015 | Potential Scenario Ideas

    Article Review and AnnotationGriffel, D. H. 1975. Teaching the formation and solution of differential equations. International Journal of  Mathematical Education in Science and Technology. 6(4): 467-473Article Abstract:  A description of a course for mathematics and physics students in...

  17. 1-027-S-StochasticProcesses

    04 Jun 2015 | Modeling Scenarios | Contributor(s): Karen Bliss

    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.  We work to build our model of random events which...

  18. 1-026-S-Evaporation

    04 Jun 2015 | Modeling Scenarios | Contributor(s): Karen Bliss

    We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We  ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...

  19. 1-025-S-MixingItUp

    04 Jun 2015 | Modeling Scenarios | Contributor(s): Karen Bliss

    Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.

  20. 1-013-S-Sleuthing

    03 Jun 2015 | Modeling Scenarios | Contributor(s): Karen Bliss

    We present several situations in which differential equation models serve to aid in sleuthing and general investigations. One involves initial speed given information about constant deceleration and distance to stop in traffic incident; one involves modeling a steel ball launched vertically and...

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