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  1. 2015-Sivakumar-Rajendran-KineticModel-BananaWaste

    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.Abstract: The initial value problem in a kinetic model for biogas generation from...

  2. 2007-Bellomo EtAl-LectureNotes-MathModelingInAppliedScience

    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.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...

  3. 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....

  4. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | Contributor(s):: Chris Rasmussen, Michael Keynes

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

  5. 2011-Gaff EtAl-OptimalControlManagementTickBorneDisease

    03 Mar 2018 | Contributor(s):: Holly D. Gaff

    Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tick-borne disease. Journal of Biological Dynamics. 5(5): 517-530Abstract:  Tick-borne diseases have been on the rise recently, and correspondingly, there is an...

  6. LionAntelopeChasing

    03 Mar 2018 | Contributor(s):: Unknown

    Lion chases down an Antelope (source unknown)From the document,“Suppose an antelope is running along a straight path at a constant speed k. Without loss of generality suppose he is running along the x axis.“A lion starts chasing the antelope at a speed 2k in such a way that the...

  7. 2009-Das EtAl BioeconomicHarvesting-JBioDynamics

    03 Mar 2018 | Contributor(s):: Tapasi Das

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate...

  8. Modeling the Opioid Epidemic in the United States

    19 Jan 2018 | Potential Scenario Ideas | Contributor(s):: Brian Winkel, Bill Skerbitz

    Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West,  Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

  9. 2008-Revelle-CuesTendanciesActions-DynamicsOfActionRevisited

    01 Dec 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Revelle, William. 2008.  Cues, Tendencies and Actions: The Dynamics of Action Revisited. Department of Psychology, Northwestern University. Paper. 20 pp.Abstract: The theory of the Dynamics of Action Atkinson & Birch (1970) was a theory before its time. Few psychologists of the 1970s...

  10. 2007-Friis-Jensen-ModelingAndSimulationOfGlucose-InsulinMetabolism

    01 Dec 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Friis-Jensen, Esben. 2007. Modeling and Simulation of Glucose-Insulin Metabolism. B. Sc. Thesis. 124 pp.Abstract:  Diabetes is a widespread disease in the western world today. Many researchers are working on methods for diagnosing and treating diabetes. A tool used for this is mathematical...

  11. 2008-HuangLi-ModelingLongTermLongitudinalHIVDynamics

    01 Dec 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Huangi, Y. and T. Lu. 2008. Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study.  The Annals of Applied Sciences.  2(4): 1384-1408.Abstract:  A virologic marker, the number of HIV RNA copies or viral load, is currently used to evaluate...

  12. 2012-Levermore-OrdinaryDifferentialEquations-Graphical MethodsApplications

    01 Dec 2017 | Potential Scenario Ideas | 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: Graphical Methods6.1....

  13. 2016-BanksEtAl-ModelingBumbleBeePopDynamicsWithDelayDifferentialEquations

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Banks,  H.T., J.E. Banks, Riccardo Bommarco, Maj Rundlof, and Kristen Tillman. 2016. Modeling Bumble Bee  Center for Research in Scientific Computation, North Carolina State University Raleigh, NC USA Abstract: Bumble bees are ubiquitous creatures and crucial pollinators to a vast...

  14. 2015-DiosEtAl-HowEngineersDealWithMathematicsSolvingDifferentialEquations

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Dios,  Araceli Queiruga. Ascensión Hernández Encinas, Jesús Martín Vaquero, Ángel Martín del Rey, Juan José Bullón Pérez, and Gerardo Rodríguez Sánchez. 2015. How Engineers deal with Mathematics solving...

  15. 2005-Sprott-DynamicModelsOfHappiness

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Sprott, J. C. 2005. Dynamical Models of Happiness. Nonlinear Dynamics, Psychology, and Life Sciences. 9(1): 23-35.Abstract: A sequence of models for the time evolution of one’s happiness in response to external events is described. These models with added nonlinearities can produce stable...

  16. 1999-Deuflhard-DifferentialEquationsInTechnologyAndMedicine

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Deuflhard, Peter. 1999. Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs.CIME Lectures. Preprint SC 99-34. (September 1999). Notes:  66 pp.Abstract: This series of lectures has been given to a class of mathematics postdocs at a...

  17. 2008-Mohamdden-MSExcelForSolvingSecondOrderODEs

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Mohameden, Ahmed. 2008. Solving initial-value second order ordinary differential equations on an Excel© spreadsheet. MSOR Connections. 8(4):  November 2008 – January 2009. 21-25.Abstract: This paper presents a friendly method of solving initial-value second order differential...

  18. 2007-ZenkerEtAl-InverseProblemsInMathPhysiology

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Zenker S, J. Rubin, and G. Clermont. 2007. From inverse problems in mathematical physiology to quantitative differential diagnoses. PLoS Comput Biol.  3(11): e204.Abstract: The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in...

  19. 2016-LifgrenEtAl-EquationsOfTheEnd-MathModelingUsingZombieApocapylse

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Lofgren, Eric T., Kristy M. Collins, Tara C. Smith, and Reed A. Cartwright. 2016. Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse. Journal of Microbiology & Biology Education. 17(1): 137-142.From the Introduction, “Mathematical models of infectious...

  20. 2008-Witthansen-ExamplesOfDifferentialEquationsInPhysics

    28 Nov 2017 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Witt-Hansen, Ole.  Examples Of Differential Equations In Physics.  Article. 29 pp. Source: www.olewitthansen.dk . Accessed 27 November 2017.This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential...