
1107SClothDry
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...

1053SSlimeSpread
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.

1054SGrowthInFarmland
14 Aug 2018   Contributor(s):: Richard Spindler
An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

1984HaysCompartmentModelsForHumanIodineMetabolism
07 Mar 2018   Contributor(s):: Marguerite Hays
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

Corban Harwood  Managing Project Logistics in Teaching Differential Equations
19 Jan 2018   Contributor(s):: Richard Corban Harwood
Managing Project Logistics in Teaching Differential EquationsByCorban Harwood , George Fox University.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018.

Bauer and Sullivan  Brewing the Perfect Cup of Tea with Differential Equations
18 Jan 2018   Contributor(s):: Eric Sullivan, Jesica A Bauer
Brewing the Perfect Cup of Tea with Differential EquationsBy Jesica Bauer and Eric Sullivan, Carroll CollegeA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913...

2014EastonMathModelsOfHealthFocusingOnDiabetesDelayDEAndDataMining
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. http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have been applied to...

2000deOliveraEtAlPinholeWaterFlowFromCylindricalBottles
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): 110119.From the opening of the article, "We performed an experiment on elementary hydrodynamics. The...

2012UrbanoThe Draining of a Plastic Bottle
09 Oct 2017   Contributor(s):: Brian Winkel
2012Urbano, Lensyl. The Draining of a Plastic Bottle: Integrating a Physics Experiment into Calculus. Montessori Muddle. http://montessorimuddle.org/2012/05/01/thedrainingofajugintegratingaphysicsexperimentintocalculus/ . Accessed 9 October 2017.Abstract: I punched a small hole...

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

2000deOliveiraEtAl Pinhole water flow from cylindrical bottles
09 Oct 2017   Contributor(s):: Brian Winkel
de Oliveira, Paulo Murilo Castro , Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite. 2000Pinhole water flow from cylindrical bottles. Phys. Educ. 35(2): March. 110119. From the article, “We performed an experiment on elementary hydrodynamics. The basic...

Experiences with Teaching Differential Equations in Context Using Modeling
25 Sep 2017   Contributor(s):: Brian Winkel
Brian Winkel, Director SIMIODE, gave a talk at Department of Mathematics, Seminar, at Clarkson University, Potsdam NY USA on 28 September 2017.Title: Experiences with Teaching Differential Equations in Context Using ModelingAbstract: We share experiences and examples of using modeling to...

Dabbling in Differential Equation Modeling
25 Sep 2017   Contributor(s):: Brian Winkel
Brian Winkel, Director of SIMIODE, spoke on 27 September 2017 at a Noon gathering at the SUNY Potsdam School of Education and Professional Studies, Disciplined Inquiry in Education Seminar Series, organized by Dr. Sergei Abramovich School of Educaiton, SUNY Potsdam NY USA.Title: ...

RamsayFrom 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...

2009WilsonDifferential 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...

2015EnderlingIntegrating 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...

WuMathematical Biology Models Using Experimental Data
12 Sep 2017   Contributor(s):: Brian Winkel
Wu, Hulin. Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models. PowerPoint. 47 slides._ Inverse Problems and Methods for ODE Models_ Application Examples– Example 1: A Complex Influenza...

2011WentworthEtAlOptimal harvesting models for fishery populations
12 Sep 2017   Contributor(s):: Brian Winkel
Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011. Optimal harvesting models for fishery populations. REU paper. 17 pp.Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population but...

2001KerleyKnisleyUsing data to motivate models in differential equations
11 Sep 2017   Contributor(s):: Brian Winkel
Knisley, Jeff and Lyndell Kerley. 2001. Using data to motivate the models used in introductory differential equations. PRIMUS. 11(20): 111123.Abstract: Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom...

2013GreerModeling Cyanobacteria in Lake Ecosystems
11 Sep 2017   Contributor(s):: Brian Winkel
Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers. 2013. Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems. The College Mathematics Journal. 44(5): 376385.Understanding the system is central to mathematical modeling. What...