
1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration 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.

1001dSHotelPopulationDecay
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.

1003STextIntroNumericalMethods
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.

1032SDigoxinElimination
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 ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

1053SSlimeSpread
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.

1066SUSCensusModeling
15 Sep 2017  Modeling Scenarios
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

1067SModelingWithSigmoidCurves
18 Aug 2018  Modeling Scenarios
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

1081STumorGrowth
09 Jun 2018  Modeling Scenarios
Students will transform, solve, and interpret a tumor growth scenario using nonlinear 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...

1084SGoingViral
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...

1108SPoissonProcess
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.

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model

1130SAspirinAbsorption
15 Aug 2018  Modeling Scenarios
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zeroorder 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...

1141SM&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.

1143SPopulationModelVariationsMATLAB
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...

1143SPopulationModelVariationsMATLAB
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...

1966IntriligatorBritoPredatorPrey Model of Guerrilla Warfare
20 Jun 2015  Potential Scenario Ideas
Article Review and Annotation Intriligator, Michael D. and Dagobert L. Brito. 1988. A PredatorPrey Model of Guerrilla Warfare. Synthese . 76(2): 235244. Special issue: Formal Analysis in International Relations. Excerpt from Article Abstract: “The purpose of this paper is to...

1967Isrealsson JohnssonCircumnutations 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: 957976.Abstract:“A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.“The...

1968WagnerEtAlPerformance 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): 635638.This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer...

1969JohnssonIsraelssonPhase Shift In Geotropical Oscillations
08 Sep 2017  Potential Scenario Ideas
Israelsson, D. and A. Johnsson. 1969. Phaseshift in Geotropic Oscillations a Theoretical and Experimental Study. Physiologia Plantarum. 22: 12261237.The paper studies geotropical induced phaseshifts in circumnutations (turning) of Helianthus annus hypocotlys. Theory based on...

1971BoyesEtalLidocaine 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): 105116.Abstract: Plasma levels of lidocaine were measured in 5 normal male volunteers following both intravenous and oral administration of...