
2001NoymerUrban Legend Sociological Application Epidemic Models
12 Sep 2017  Contributor(s):: Brian Winkel
Noymer, Andrew. 2001. The transmission and Persistence of “Urban Legends”: Sociological Application of AgeStructures Epidemic Models. J Math Sociol. Jan 1; 25(3): 1–98. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2846379/ . Accessed 10 September 2017.Abstract:...

2011NguyenShiModeling the absorption, circulation, and metabolism of tirapazamine
11 Sep 2017  Contributor(s):: Brian Winkel
Nguyen, Olivia and Xiaoyu Shi. 2011. Modeling the absorption, circulation, and metabolism of tirapazamine. http://www.isn.ucsd.edu/courses/beng221/problems/2011/project02.pdf . Accessed 10 Sept 2017.This apparently is a student project and it develops the kinetic model, uses Matlab...

2011RodriguezPDE Models in Crime Modeling
11 Sep 2017  Contributor(s):: Brian Winkel
Rodriguez, Nancy. 2011. Applied PDEs in Crime Modeling and Biological Agregstion. PhD Thesis. 137 pp.Builds a model of burglaries in California city and uses tha model to reflect law enforcement efforts. Uses stability analysis. While highly theoretical the model is interesting and could...

RouxMathematical Models in Air Quality Problems
11 Sep 2017  Contributor(s):: Brian Winkel
Roux, Jean. Mathematical Models in Air Quality Problems. Notes. 26 pages.Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.Keywords: differential equation, model, finite difference, chemical kinetics, finite...

2014NiemannMiklosSimple Method for Estimation of Parameters in First Order Delay DEs
11 Sep 2017  Contributor(s):: Brian Winkel
Henrik Niemann and Robert Miklos. 2014. A Simple Method for Estimation of Parameters in First order Systems. Systems. Journal of Physics: Conference Series. 570: 112.Abstract: A simple method for estimation of parameters in first order systems with time delays is presented in this paper....

2004RescignoUse of Pharmacokinetics Models
11 Sep 2017  Contributor(s):: Brian Winkel
Rescigno, Aldo. 2004. On the use of pharmacokinetic models. Phys. Med. Biol. 49: 46574676.Abstract: Extensive use of models in pharmacology, in physiology and in radiotherapy raises some questions on the nature and utility of models in general and of compartmental models in particular. In...

2013DoboszczakForstallModeling Traffic Flow
11 Sep 2017  Contributor(s):: Brian Winkel
Doboszczak, Stefan and Virginia Forstall. 2013. Mathematical modeling by differential equations Case study: Traffic flow. PowerPoint. 52 slides.This presentation addresses modeling traffic flow models and does a terrific job in explaining the model building of the partial differential...

2013RumbosMathematics Modeling
11 Sep 2017  Contributor(s):: Brian Winkel
Rumbos, Adolfo. 2013. Mathematica Modeling. Draft Text. 95 pp.Chapter 3 deals with traffic flow models and does a terrific job in explaining the model building of the partial differential equation for traffic density at position x and time t. It then goes on to solve and interpret the...

2009MallettFetbrandtDifferential Equations Class Notes
11 Sep 2017  Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and are intended to...

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...

MorinOsillations
11 Sep 2017  Contributor(s):: Brian Winkel
Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in the...

2007ChernMathematial Modeling and Differential Equations
11 Sep 2017  Contributor(s):: Brian Winkel
2007ChernMathematial Modeling and Differential EquationsChern, ILiang. 2007. Mathematial Modeling and Differential Equations. Notes. 223 pp. http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real...

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...

2001BuckmireEdwardsDifferential equation model of North American cinematic box‐office dynamics
11 Sep 2017  Contributor(s):: Brian Winkel
Buckmire, Ron and D. A. Edwards. 2001. A differential equation model of North American cinematic box‐office dynamics. IMA Journal of Management Mathematics . 12(1): 4174. https://sites.oxy.edu/ron/research/edwardsbuckmirepaper.pdf . Accessed 11 September 2017.Abstract: A new...

2015EastonMathematical models of health focusing on diabetes
11 Sep 2017  Contributor(s):: Brian Winkel
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis, 186 pp. Northumbria University. http://nrl.northumbria.ac.uk/23582/ . Accessed 10 September 2017.This is an exhaustive study with very good...

Verhulst Population Model with Harvest
11 Sep 2017  Contributor(s):: Brian Winkel
Verhulst Population Model with HarvestNotes. 20 pp.Building on the Verhulst model of limited growth there are a number of problems and solutions offered, including issues of harvesting.Keywords: differential equation, model, problems, solutions, Verhulst, population, harvest,

Wonderful World of Differential Equations
11 Sep 2017  Contributor(s):: Brian Winkel
Wonderful World of Differential Equations. Notes. 52 pp. http://coccweb.cocc.edu/bemerson/PhysicsGlobal/Courses/PH213/PH213Learning/PH213WebR/documents/DiffEqIntro.pdf . Accessed 11 September 2017.This is a terrific set of noted with models and applications woven into the material at every...

2012Applied Differential Equations
11 Sep 2017  Contributor(s):: Brian Winkel
2012Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank mixing,...

Transient and Steady State response in RC or RL circuits
11 Sep 2017  Contributor(s):: Brian Winkel
Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides,This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

2005TarantolaInverse Problem Theory and Methods for Model Parameter Estimation
11 Sep 2017  Contributor(s):: Brian Winkel
Tarantola, Albert. 2005. Inverse Problem Theory and Methods for Model Parameter Estimation, Philadelphia: SIAM. 358 pp. http://www.ipgp.fr/~tarantola/Files/Professional/Books/InverseProblemTheory.pdf . Accessed 10 September 2017.This is a bible of approaches to support parameter...