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1-067-S-ModelingWithSigmoidCurves
18 Aug 2018 | | Contributor(s):: Natali Hritonenko
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...
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1-032-S-DigoxinElimination
17 Aug 2018 | | Contributor(s):: Therese Shelton
We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...
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1-130-S-AspirinAbsorption
15 Aug 2018 | | Contributor(s):: Therese Shelton
We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order 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...
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Kaabar, Mohammed-2018-A Friendly Introduction to Differential Equations
29 Jul 2018 | | Contributor(s):: Mohammed K A Kaabar
In this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In...
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Jul 15 2018
DEMARC -- Differential Equations Model And Resource Creators Workshop, 15-21 July 2018, ManhattanCollege, Riverdale NY USA
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https://www.simiode.org/events/details/48
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1-081-S-TumorGrowth
09 Jun 2018 | | Contributor(s):: Randy Boucher, Ryan Edmund Miller
Students will transform, solve, and interpret a tumor growth scenario using non-linear 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...
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6-018-S-ExploringSIRModel
30 May 2018 | | Contributor(s):: Ryan Edmund Miller, Stanley F Florkowski
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting SIR...
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Apr 02 2018
Call for Papers from CODEE Journal, on the theme of Linking Differential Equations with Social Justice and Environmental Concerns
We encourage SIMIODE members and others to consider sharing their ideas and projects in a Special 2018 Issue of the online CODEE Journal, on the theme of Linking Differential Equations with...
https://www.simiode.org/events/details/43
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Mohammed K A Kaabar
Mohammed Kaabar received all his undergraduate and graduate degrees in Mathematics from Washington State University (WSU), Pullman, WA, USA. He is a former lab instructor and math tutor at the Math...
https://www.simiode.org/members/2340
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1984-Hays, Marguerite - Compartmental Models for Human Iodine Metabolism.
07 Mar 2018 | | Contributor(s):: Marguerite Hays
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317-335.See https://pubmed.ncbi.nlm.nih.gov/3371254/. ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the...
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2017-Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni - Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
07 Mar 2018 | | Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...
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2017-Karam Allali, Adil Meskaf, and Abdessamad Tridane - Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
07 Mar 2018 | | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13...
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2017-Suebcharoen, T. - Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator.
07 Mar 2018 | | Contributor(s):: T. Suebchareon
Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11...
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2017-Rumbos, Adolfo J - Differential Equations and modeling. Lecture Notes
03 Mar 2018 | | Contributor(s):: Adolfo J. Rumbos
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the...
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2015-Sivakumar, Pavithra and Lakshmanan Rajendran - Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste.
03 Mar 2018 | | Contributor(s):: Pavithra Sivakumar, Lakshmanan Rajendran
Sivakumar, Pavithra and Lakshmanan Rajendran. 2012. Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 7-14.See http://article.sapub.org/10.5923.j.am.20150501.02.html...
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2018-Unknown - The Logistic Differential Equation - Notes
03 Mar 2018 | | Contributor(s):: Brian Winkel
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...
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Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018 | | Contributor(s):: Russell L. Herman
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a self-published text book with excellent coverage and solid mathematics and theory to...
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2007-Bellomo, Nicola , Elena De Angelis, and Marcello Delitala - Lecture Notes on Mathematical Modelling in Applied Sciences
03 Mar 2018 | | Contributor(s):: Nicola Bellomo
Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007. Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.See https://staff.polito.it/marcello.delitala/dwd/mechanic_Simai.pdf .From the Opening of the Notes:The Lecture Notes...
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2018-Hohenauer, W. - Hohenauer-Physical modelling based on first order ODEs
03 Mar 2018 | | Contributor(s):: W. Hohenauer
Hohenauer, W. Physical modelling based on first order ODEs. Notes. 22 pp.http://www.phox.at/upload/Physical%20modelling%20based%20on%20first%20order%20ODEs%20(v1.3).pdf . Accessed 3 March 2018.Abstract: An introduction in techniques to solve first order ODE´s is given....
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David Jaures Jaures FOTSA FOTSA MBOGNE
https://www.simiode.org/members/2250