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  1. 1-150-S-CancerTherapy

    out of 5 stars 

    03 Aug 2021 | | Contributor(s):: Maila Hallare, Iordanka Panayotova

    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.Activities will help students appreciate the importance of...

  2. 1-124-S-WorldPopulation

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    30 May 2020 | | Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel

    We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

  3. 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.

    out of 5 stars 

    05 Apr 2020 | | 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:...

  4. 2018-Tatro, Dyjuan - The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth. Senior Project.

    out of 5 stars 

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    Tatro, Dyjuan. 2018. The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth. Bard CollegeBard Digital Commons. Senior Projects Spring 2018 Bard Undergraduate Senior Projects. 23 pages.Abstract: Mathematical models are finding increased use in biology, and...

  5. 2013-Evans, Michael - Growth and Decay. Calculus Module 13

    out of 5 stars 

    22 Mar 2020 | | Contributor(s):: Brian Winkel

    2013-Evans-GrowthDecay3e-EdServicesAustraliaEvans, Michael. 2013. Growth and Decay. Calculus Module 13. Supporting Australian Mathematics Project. Education Services Australia: South Victoria AUSTRALIASee https://www.amsi.org.au/ESA_Senior_Years/PDF/GrowthDecay3e.pdf...

  6. 2017-Rosario, G. Michael and Dr. M. James Antony - Mathematical Model for Future Population Scenario In India And China – An Econometric Approach

    out of 5 stars 

    20 Mar 2020 | | Contributor(s):: Brian Winkel

    Rosario, G. Michael and Dr. M. James Antony. 2017. Mathematical Model for Future Population Scenario In India And China – An Econometric Approach. International Journal of Scientific & Engineering Research. 8(5):...

  7. 2006-Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec - Growth of Microbial Populations - Mathematical Modeling, Laboratory Exercises, and Model-Based Data Analysis.

    out of 5 stars 

    20 Mar 2020 | | Contributor(s):: Brian Winkel

    Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec. 2006. Growth of Microbial Populations - Mathematical Modeling, Laboratory Exercises, and Model-Based Data Analysis. BIOCHEMISTRY AND MOLECULAR BIOLOGY EDUCATION. 34(6):...

  8. 2015-Luttmer, Erzo G.J. - Four Models of Knowledge Diffusion and Growth.

    out of 5 stars 

    13 Mar 2020 | | Contributor(s):: Brian Winkel

    Luttmer, Erzo G.J. 2015. Four Models of Knowledge Diffusion and Growth. Working Paper. Federal Reserve Bank of Minneapolis, Research Department.  See https://www.minneapolisfed.org/research/wp/wp724.pdf. Abstract: This paper describes how long-run...

  9. 1998-Louie, K. H. Clark, and P. C. D. Newton - Analysis of differential equation models in biology: a case study for clover meristem populations.

    out of 5 stars 

    12 Mar 2020 | | Contributor(s):: Brian Winkel

    Louie, K. H. Clark, and P. C. D. Newton. 1998. Analysis of differential equation models in biology: a case study for clover meristem populations. New Zealand Journal of Agricultural Research. Vol. 41: 567-576.See https://www.tandfonline.com/doi/abs/10.1080/00288233.1998.9513340...

  10. 1-087-S-ThanosPopulationDynamics

    out of 5 stars 

    07 Oct 2019 | | Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson

    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

  11. 6-010-S-SocialCampaigns

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    23 Sep 2018 | | Contributor(s):: Hyunsun Lee

    Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The Susceptible-Infected-Recovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a system...

  12. 1-062-S-BacterialGrowth

    out of 5 stars 

    15 Sep 2018 | | Contributor(s):: Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

  13. 1-102-S-CancerGrowth

    out of 5 stars 

    29 Jul 2018 | | Contributor(s):: Jue Wang

    This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...

  14. 2009-Mallett, Travis and Josh Fetbrandt - Differential Equations Class Notes.

    out of 5 stars 

    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...

  15. 2001-Knisley, Jeff and Lyndell Kerley - Using data to motivate the models used in introductory differential equations.

    out of 5 stars 

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Knisley, Jeff and Lyndell Kerley. 2001.  Using data to motivate the models used in introductory differential equations. PRIMUS. 11(2): 111-123.See https://www.tandfonline.com/doi/abs/10.1080/10511970108965983 .Abstract: Although data is often used to estimate parameters for models in...

  16. 2009-Edelstein-Keshet, Leah - Chapter 11 – Differential Equations.  Notes.

    out of 5 stars 

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Edelstein-Keshet, Leah. 2009. Chapter 11 – Differential Equations.  See http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g.,...

  17. 2011-Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint Slides.

    out of 5 stars 

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint. 81 slides. From the slides: Background: Delay Equations      Ordinary vs. Delay Differential Equations      Applications in Biology     ...

  18. 2012-Mahaffy, Joseph M. - Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PowerPoint

    out of 5 stars 

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Mahaffy, Joseph M. 2012. Calculus for the Life Sciences II Lecture Notes – Introduction to Differential Equations. PowerPoint. 128 slides. See http://jmahaffy.sdsu.edu/courses/f11/math122/beamer_lectures/intro_de.pdf . Accessed 9 September 2017. Here is the outline of the...

  19. 2013-Caldwell, Alicia - Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data

    out of 5 stars 

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    Caldwell, Alicia. 2013. Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data.  Utah State University. All Graduate Plan B and other Reports. Paper 330.See https://digitalcommons.usu.edu/gradreports/330/ .Abstract: Students rarely...

  20. 1988-Rodin, E.Y. and N. Taber - Yeast Growth Modelling in a Laboratory.

    out of 5 stars 

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Rodin, E.Y. and N. Taber. 1988. Yeast Growth Modelling in a Laboratory.  Math. Comput. Modelling.  10(1):  67-73.See Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and...