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  1. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

  2. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios

    We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

  3. 1-003-S-Text-IntroNumericalMethods

    10 Jan 2019 | Technique Narratives

    We ask students to develop two numerical methods for solving first order differential equations  geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes. 

  4. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

  5. 1-053-S-SlimeSpread

    30 Aug 2018 | Modeling Scenarios

    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. 1-066-S-USCensusModeling

    15 Sep 2017 | Modeling Scenarios

    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

  7. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

  8. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

  9. 1-084-S-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  10. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios

    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.

  11. 1-115-S-ModelingWithFirstOrderODEs

    04 Sep 2017 | Modeling Scenarios

    Several models using first order differential equations are offered with some questions on formulating a differential equations model

  12. 1-130-S-AspirinAbsorption

    15 Aug 2018 | Modeling Scenarios

    We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to...

  13. 1-141-S-M&MGameRevisited

    27 Aug 2018 | Modeling Scenarios

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

  14. 1-143-S-PopulationModelVariationsMATLAB

    17 Feb 2019 | Modeling Scenarios

    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities...

  15. 1-143-S-PopulationModelVariationsMATLAB

    17 Feb 2019 | Modeling Scenarios

    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities...

  16. 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...

  17. 1967-Isrealsson Johnsson-Circumnutations In Helianthus Annuus

    08 Sep 2017 | Potential Scenario Ideas

    Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus.  Physiologia Plantarum. 20:  957-976.Abstract:“A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.“The...

  18. 1968-WagnerEtAl-Performance Test Scores and LSD

    26 Jun 2015 | Potential Scenario Ideas

    Wagner, J. G.,G. K. Aghajanian, and O. H. L. Bing. 1968. Correlation of performance test scores with tissue concentration of lysergic acid diethylamide. Clinical pharmacology and therapeutics. 9(5): 635-638.This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer...

  19. 1969-JohnssonIsraelsson-Phase Shift In Geotropical Oscillations

    08 Sep 2017 | Potential Scenario Ideas

    Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study.  Physiologia Plantarum. 22:  1226-1237.The paper studies geotropical induced phase-shifts in circumnutations (turning) of Helianthus annus hypocotlys. Theory based on...

  20. 1971-BoyesEtal-Lidocaine In Man

    09 Oct 2017 | Potential Scenario Ideas

    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...