
1986ByoriConnectionsBetweenCompartmentSystemsIntegroDifferentiaoEquations
26 Nov 2017
1986. Gyori, Istvan. Connections between compartment systems with pipes and integrodifferential equations. Mathematical Modeling. 7: 12151238.Abstract: Compartmental models are a frequently used tool for the mathematical description of physiologic processes. In the classical...

2010HusseinPredatorPreyModeling
26 Nov 2017
2010. Hussein, Shaza. PredatorPrey Modeling. Undergraduate Journal of Mathematical Modeling: One + Two. 3(1): Article 20. http://scholarcommons.usf.edu/ujmm/vol3/iss1/32 . Accessed 27 November 2017.Abstract. Predatorprey models are useful and often used in the environmental...

2000deOliveraEtAlPinholeWaterFlowFromCylindricalBottles
26 Nov 2017
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 basic...

Pretty Good Physics
13 Nov 2017
We were introduced to PrettyGood Physics by a high school physics teacher colleague, Paul Beeken, Physics, Byram Hills High School, Armonk NY USA. He has posted some very nice materials there on differential equations. All the material at this website is free and...

IDEA  Internet Differential Equations Activities
08 Nov 2017
Cooper, Kevin. IDEA  Internet Differential Equations Activities. Washington State University, Pullman WA USA.We quote from the home page of IDEA  Internet Differential Equations Activities, www.math.wsu.edu/idea/ .“IDEA is Internet Differential Equations Activities, an...

2012UrbanoThe Draining of a Plastic Bottle
09 Oct 2017
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
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...

2017AdlerMathematically Modeling AsthmaSIAM
09 Oct 2017  Potential Scenario Ideas
Adler, Fred. 2017 Mathematicslly Modeling Asthma. Blog Posting. 3 pp. https://sinews.siam.org/DetailsPage/mathematicallymodelingasthma . Accessed 9 October 2017. From the article, “Asthma—like diabetes, heart disease, and cancer—does not have a single initiating cause,...

Dabbling in Differential Equation Modeling
25 Sep 2017  Presentations
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  Potential Scenario Ideas
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...

2011CaoEtAlRobust Estimation for Ordinary Differential Equation Models
23 Sep 2017  Potential Scenario Ideas
Cao, J., L. Wang, J. Xu. 2011. Robust estimation for ordinary differential equation models. Biometrics. 67(4): 130513.Abstract: Applied scientists often like to use ordinary differential equations (ODEs) to model complex dynamic processes that arise in biology, engineering, medicine and...

2015EnderlingIntegrating experimental data to calibrate quantitative cancer models
23 Sep 2017  Potential Scenario Ideas
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...

2017KruegerParameter Estimation Methods in Microbioloogy
21 Sep 2017  Potential Scenario Ideas
Krueger, Justin M. 2017. Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology. PhD Thesis. 109 pp.Abstract: The compositions of inhost microbial communities (microbiota) play a significant role in host health, and a better understanding of...

2012DeboeckEtAlModeling LongTerm Growth to ShortTerm Fluctuations
21 Sep 2017  Potential Scenario Ideas
Deboeck, Pascal R. , Jody S. Nicholson, C. S. Bergeman, Kristopher J. Preacher. 2012. From Modeling LongTerm Growth to ShortTerm Fluctuations: Differential Equation Modeling is the Language of Change. Prepring from the 202 Proceedings of the International Meeting of the Psychometric...

2014WangEtAlEstimating MixedEffects Differential Equation Models
21 Sep 2017  Potential Scenario Ideas
Wang, L., J. Cao 1 , J. O. Ramsay, D. M. Burger , C. J. L. Laporte, and J. K. Rockstroh. 2014. Estimating MixedEffects Differential Equation Models. Staistics and Computing. 24: 111121.Abstract: Ordinary differential equations (ODEs) are popular tools for modeling complicated dynamic...

2008BrewerEtAlFitting ordinary differential equations to short time course data
21 Sep 2017  Presentations
Brewer, D., M. Barenco, R. Callars, M. Hubank, and J. Stak. 2008. Fitting ordinary differential equations to short time course data. Phil. Trans. R. Soc. A. 366: 519–544.Abstract: Ordinary differential equations (ODEs) are widely used to model many systems in physics, chemistry, engineering...

2002dePillsRadunskayaParameter Estimation for TumorImmune ODE
21 Sep 2017  Potential Scenario Ideas
de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for TumorImmune ODE System, 24 slides.This is a very thorough and complete introduction to estimating parameters for a simple differential equation model with attention to all the mathematical details necessary for success in...

2017BullardDice Activities That Motivate Differential Equation Models
21 Sep 2017  Potential Scenario Ideas
Bullard, Floyd. 2017. Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics. The North Carolina School of Science and Mathematics . 7 pp. https://www.ncssm.edu/uploads/files/330468432813721056dediceactivities.pdf .This document includes...

2006LoydWodarz Drug Resistance in Acute Viral Infections
18 Sep 2017  Potential Scenario Ideas
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread of drug resistant...

WuMathematical Biology Models Using Experimental Data
12 Sep 2017  Presentations
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...