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1967-Israelsson, D. and A. Johnsson - Circumnutations In Helianthus Annuus
08 Sep 2017 | Contributor(s):: Brian Winkel
Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus. Physiologia Plantarum. 20: 957-976.https://onlinelibrary.wiley.com/doi/10.1111/j.1399-3054.1967.tb08383.x Abstract:“A theory is given for circumnutations in plants,...
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1969-Israelsson, D. and A. Johnsson - Phase Shift In Geotropical Oscillations
08 Sep 2017 | Contributor(s):: Brian Winkel
Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study. Physiologia Plantarum. 22: 1226-1237.See https://pubmed.ncbi.nlm.nih.gov/20925673/ .The paper studies geotropical induced phase-shifts in circumnutations (turning)...
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1977-Mackey, Michael C. and Leon Glass - Oscillation and Chaos in Physiological Control Systems
26 Jun 2015 | Contributor(s):: Michael C. Mackey, Leon Glass, William Clark
Mackey, Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.See https://www.science.org/doi/abs/10.1126/science.267326 .Article Abstract: First-order nonlinear differential-delay equations describing physiological control...
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1992-Bulte, C. H. F. - The differential equation of the deflection curve.
26 Jun 2015 | Contributor(s):: C. H. F. Bulte
Bulte, C. H. F. 1992. The differential equation of the deflection curve. International Journal of Mathematical Education in Science and Technology. 23(1): 5-63.See https://www.tandfonline.com/doi/abs/10.1080/0020739920230106 .Article Abstract: This paper presents the derivation...
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1999-McCartney, Mark and Malachy Carey - Modelling Traffic Flow: Solving and Interpreting Differential Equations.
05 Apr 2020 | Contributor(s):: Brian Winkel
McCartney, Mark and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3):...
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2005-Howard P. - Modeling with ODE. Notes.
10 Sep 2017 | Contributor(s):: Brian Winkel
Howard P. 2005. Modeling with ODE. Notes. 48 pp.See https://www.math.tamu.edu/~phoward/m412/modode.pdf .Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion,...
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2009-Mallett, Travis and Josh Fetbrandt - Differential Equations Class Notes.
11 Sep 2017 | Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. 2009. 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...
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2010-Del Ciello, Sarah, Jack Clementi, and Nailah Hart - Modeling Disease
10 Sep 2017 | Contributor(s):: Brian Winkel
Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. See http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a...
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2010-Kijek, A. and T. Kijek - Modelling of Innovation Diffusion.
02 Sep 2017 | Contributor(s):: Brian Winkel
Kijek, A. and T. Kijek. 2010. Modelling of Innovation Diffusion. Operations Research and Decisions. 3-4:53-68.See https://econpapers.repec.org/article/wutjournl/v_3a3-4_3ay_3a2010_3ap_3a53-68_3aid_3a169.htm .Abstract: Since the publication of the Bass model in 1969, research on the...
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2010-Liakos, Kelly - A lion chases down an antelope
06 Sep 2017 | Contributor(s):: Brian Winkel
Liakos, Kelly. A lion chases down an antelope. http://calculus7.com/id9.html Accessed 4 September 2017.This material comes the site, Calculus Animations, Graphics and Lecture Notes, which is dedicated to a very creative teacher, Kelly Liakos. The opening says, “In...
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2010-Winkel, B. J. - Parameter estimates in differential equation models for chemical kinetics.
20 Jun 2015 | | Contributor(s):: Brian Winkel
Winkel, B. J. 2010. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37- 51.See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2010.500806...
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2012-Bourne, Murray - Modeling fish stocks.
10 Sep 2017 | | Contributor(s):: Brian Winkel
Bourne, Murray. 2012. Bourne-Modeling fish stocks.https://www.intmath.com/blog/mathematics/modeling-fish-stocks-7377 . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order,...
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2012-Levermore. David - First-Order Ordinary Differential Equations II: Graphical Methods and Applications
01 Dec 2017 | | Contributor(s):: Brian Winkel
Levermore. David. 21012. First-Order Ordinary Differential Equations II: Graphical Methods and Applications. University of Maryland. Notes. 23 pp.5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations:...
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2012-Unknown - Applied Differential Equations. Notes
11 Sep 2017 | | Contributor(s):: Brian Winkel
2012-Applied 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...
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2013-Slavik, Antonin - Mixing Problems with Many Tanks.
10 Sep 2017 | | Contributor(s):: Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806-821.See https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.120.09.806 .Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...
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2015-Endale, Mersha Amdie - Some application of first order differential equations to real world system. Masters Thesis.
26 Nov 2017 | | Contributor(s):: Brian Winkel
Endale, Mersha Amdie. 2015. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the...
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2015-Goodnow, Jennifer, Richard Orr, and David Ross - Mathematical Models of Water Clocks.
25 Jun 2015 | | Contributor(s):: Jennifer Goodenow, Richard Orr, David Ross
Goodnow, Jennifer, Richard Orr, and David Ross. 2015. Mathematical Models of Water Clocks. 18 pp. http://www.nawcc-index.net/Articles/Goodenow-WaterClocks.pdf . Accessed 22 May 2015. Mathematics, Rochester Institute of Technology, Rochester NY USA.This is a historical tour of...
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2016-Keszei, Ernő - Chemical Kinetics for Beginners.
27 Mar 2020 | | Contributor(s):: Brian Winkel
Keszei, Ernő. 2016. Chemical Kinetics for Beginners. Course material supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government.Table of ContentsContents 31. Introduction 42. Formal kinetic description of elementary reactions...
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2017-AccessPharmacy - Pharmacokinetics Of Drug Absorption
09 Sep 2017 | | Contributor(s):: Brian Winkel
AccessPharmacy (McGraw Ill). Applied Biopharmaceutics & Pharmacokinetics. Chapter 7. Pharmacokinetics of Oral.See https://accesspharmacy.mhmedical.com/book.aspx?bookID=1592 . Accessed 7 September 2017.From the web page.“The pharmacokinetics of drugs...
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2017-Bialek, William - Boxes and Arrows To Differential Equations
09 Sep 2017 | | Contributor(s):: Brian Winkel
Bialek, William. Boxes and Arrow to Differential Equation. https://www.princeton.edu/~wbialek/intsci_web/dynamics1.2.pdf From An Integrated, Quantitative Introduction to the Natural SciencesPart 1: Dynamical Models at...