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  1. 2022-Kalman-Improved Approaches to Discrete and Continuous Logistic Growth

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    18 Mar 2022 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    2022. Kalman, Dan, Improved Approaches to Discrete and Continuous Logistic Growth. PRIMUS. Preprint at https://maa.tandfonline.com/doi/abs/10.1080/10511970.2022.2040664#.YjUMVurMI_U .Abstract: In the precalculus curriculum, logistic growth generally appears in either a discrete...

  2. Potential Scenario Ideas : nuclear fusion for electric power generation?

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    17 Jan 2022 | Potential Scenario Ideas | Contributor(s):: Andrew M Ross

    It occurred to me that students thinking about climate change might want to take a look at electric power generation via nuclear fusion. I know very little about this area, but perhaps someone out there does? I think students would be interested in just about any of the proposed technologies:...

  3. Potential Scenario Ideas : climate change: temperature, CO2, and some other factor in a feedback loop?

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    17 Jan 2022 | Potential Scenario Ideas | Contributor(s):: Andrew M Ross

    Looking at graphs of atmospheric CO2 and global average temperature, such as this famous one from "An Inconvenient Truth" https://smallpond.ca/jim/ref/inconvenientTruth/full/00_22_49.jpgor the 2nd graph on this...

  4. 2020-Vailance, Claire - Reaction Kinetics - Course materials

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Vailance, Claire. Reaciton Kinetics. Course Notes. 31 pages.Source: http://vallance.chem.ox.ac.uk/CVteaching.html IntroductionChemical reaction kinetics deals with the rates of chemical processes. Any chemical process may be broken down into a sequence of one or more single-step...

  5. 2020-Zammit, Corey, Nirantha Balagopal, Zijun Li, Shenghao Xia, and Qisong Xiao - DynamicsOfElasticPendulum - Report

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Zammit, Corey, Nirantha Balagopal, Zijun Li, Shenghao Xia, and Qisong Xiao. THE DYNAMICS OF THE ELASTIC PENDULUMhttps://www.math.arizona.edu/~gabitov/teaching/141/math_485/Midterm_Reports/Elastic_pendulum_midterm_report.pdfThe system of the elastic pendulum consists of a spring, connected...

  6. 2019-Elishakoff, Isaac - Differential Equations of Love and Love of Differential Equations.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Elishakoff, Isaac. 2019.   Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22. See https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1549&context=jhm.SynopsisIn this paper, simple...

  7. 2018-Weber, Frank, Stefan Theers, Dirk Surmann, Uwe Ligges, and Claus Weihs - Sensitivity Analysis of Ordinary Differential Equation Models

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Weber, Frank, Stefan Theers, Dirk Surmann, Uwe Ligges, and Claus Weihs. 2018. Sensitivity Analysis of Ordinary Differential Equation Models.See https://d-nb.info/1160443556/34 .Introduction The goal of sensitivity analysis is to examine how sensitive a mathematical model...

  8. 2019-Hu,Yueqin and Raymond Treinen - A one-step method for modelling longitudinal data with differential equations.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Hu,Yueqin and Raymond Treinen. 2019.  A one-step method for modelling longitudinal data with differential equations. British Journal of Mathematical and Statistical Psychology. 72: 38–60See https://bpspsychub.onlinelibrary.wiley.com/doi/abs/10.1111/bmsp.12135...

  9. 2018-Phair, Robert - Differential equation methods for simulation of GFP kinetics in non–steady state experiments.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Phair, Robert. 2018. Differential equation methods for simulation of GFP kinetics in non–steady state experiments. Molecular Biology of the Cell. 29: 763-771. See https://www.molbiolcell.org/doi/pdf/10.1091/mbc.E17-06-0396.ABSTRACT: Genetically encoded...

  10. 2019-Obasi, Chinedu - Application of Logistic Differential Equation to Investigate The Extent of Emphasizing Stimulus Variation in Mathematics Instruction.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Obasi, Chinedu.  2019. Application of Logistic Differential Equation to Investigate The Extent of Emphasizing Stimulus Variation in Mathematics Instruction.  SJME (Supremum Journal of Mathematics Education). 3(1):...

  11. 2001-Abramson, Guillermo - Mathematical modeling of the spread of infectious diseases. Lecture notes.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Abramson, Guillermo. 2001.  Mathematical modeling of the spread of infectious diseases. A series of lectures given at PANDA, UNMThis are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field.Outline of introduction:The...

  12. 2016-Devaki, K. B. and  S. Swathi -The System of Differential Equations in Prey Predator Model.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Devaki, K. B. and  S. Swathi. 2016. The System of Differential Equations in Prey Predator Model.  International Journal of Multidisciplinary Research and Modern Education. ISSN (Online): 2454 - 6119See http://rdmodernresearch.org/wp-content/uploads/2016/03/162.pdf...

  13. 2014-Wrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica - Two-compartment model as a teaching tool for cholesterol homeostasis.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Wrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica. 2015. Two-compartment model as a teaching tool for cholesterol homeostasis. Adv Physiol Educ.  39: 372–377.See https://pubmed.ncbi.nlm.nih.gov/26628662/ .Abstract: Cholesterol is a vital...

  14. 2014-Eckhoff, Philip A, Caitlin A Bever, Jaline Gerardin and Edward A Wenger - Fun with maths: exploring implications of mathematical models for malaria eradication.

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    06 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Eckhoff, Philip A, Caitlin A Bever, Jaline Gerardin and Edward A Wenger. 2014.  Fun with maths: exploring implications of mathematical models for malaria eradication. Malaria Journal.  13:486See https://malariajournal.biomedcentral.com/articles/10.1186/1475-2875-13-486...

  15. 2010-Munoz-Alicea, Roberto - A Mathematical Model for Enzyme Kinetics: Multiple Timescales Analysis

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    05 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Munoz-Alicea, Roberto. 2010.  A Mathematical Model for Enzyme Kinetics: Multiple TimescalesAnalysis. In Dynamics at the Horsetooth Volume 2A, 2010, Focused Issue: Asymptotics and Perturbations. 9...

  16. 2004-Mitchell, David A., Oscar F. von Meien, Nadia Krieger, Farah Diba H. Dalsenter - A review of recent developments in modeling of microbial growth kinetics and intraparticle phenomena in solid-state fermentation.

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    05 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Mitchell, David A., Oscar F. von Meien, Nadia Krieger, Farah Diba H. Dalsenter. 2004. A review of recent developments in modeling of microbial growth kinetics and intraparticle phenomena in solid-state fermentation. Biochemical Engineering Journal. 17:...

  17. 1987-Marmasse, Claude -Studies on the differential equations of enzyme kinetics. I. Biomolecular scheme: Simplified Models

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    05 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Marmasse, Claude. 1987. Studies on the differential equations of enzyme kinetics. I. Biomolecular scheme: Simplified Models.  Internat. J. Math. & Math. Sci. 10(4): 797-804.See https://www.hindawi.com/journals/ijmms/1987/319265/ .ABSTRACT: The main properties of the solution...

  18. 2007-Helfgott,  Michel and Edith Seier - Some Mathematical and Statistical Aspects of Enzyme Kinetics.

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    05 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    2007-HelfgottSeier-MathStatAspectsOfEnzymeKineticsHelfgott,  Michel and Edith Seier. 2007.  Some Mathematical and Statistical Aspects of Enzyme Kinetics. The Journal of Online Mathematics and Its Applications. Volume 7, October 2007, Article ID...

  19. 2013-Dontwi, I. K. et al. - Modeling Memorization and Forgetfulness Using Differential Equations.

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    05 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Dontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11.See http://www.cscanada.net/index.php/pam/article/view/j.pam.1925252820130601.3421 .Abstract: Research Context: The aim of the study...

  20. 2014-Rea, Jonathan - Kinetic Modeling and Experimentation of Anaerobic Digestion. Thesis.

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    05 Apr 2020 | Potential Scenario Ideas | Contributor(s):: Brian Winkel

    Rea, Jonathan. 2014.  Kinetic Modeling and Experimentation of Anaerobic Digestion. MIT Mechanical Engineering Undergraduate Thesis.ABSTRACT: Anaerobic digesters convert organic waste (agricultural and food waste, animal or human manure, and other organic waste), into energy (in...