Tags: growth

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  1. 1-018-S-LogisticPopGrowth

    out of 5 stars 

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic  model in these situations. 

  2. 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...

  3. 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...

  4. 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...

  5. 1-124-S-WorldPopulation

    out of 5 stars 

    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.

  6. 1-150-S-CancerTherapy

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    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...

  7. 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...

  8. 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...

  9. 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...

  10. 2001-Tsoularis, A. - Analysis of logistic growth models

    out of 5 stars 

    20 Jun 2015 | | Contributor(s):: A. Tsoularis

    Tsoularis, A.  2001. Analysis of logistic growth models. Research Letters in the Information and Mathematical Sciences. 2:23-46. See http://mro.massey.ac.nz/handle/10179/4341 .Article Abstract:  A  variety of  growth  curves  have been ...

  11. 2001-Tsoularis, A. - Analysis of logistic growth models

    out of 5 stars 

    02 Mar 2017 | | Contributor(s):: Brian Winkel

    Tsoularis, A. 2001. Analysis of logistic growth models. Research Letters in the Information and Mathematical Sciences. 2:23-46. Full article available at http://mro.massey.ac.nz/handle/10179/4341 .Article Abstract: A variety of growth curves have been developed to model both unpredated,...

  12. 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:...

  13. 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):...

  14. 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.,...

  15. 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...

  16. 2009-Winkel, Brian - Population Modeling with M and M's

    out of 5 stars 

    30 May 2015 | | Contributor(s):: Brian Winkel

    From Population modelling with M&M's, International Journal of Mathematical Education in Science and Technology, 40(4): 554 — 558. (2009)Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented. Physical activities...

  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. 2011-Winkel, Brian - Parameter Estimates in Differential Equation Models for Population Growth

    out of 5 stars 

    20 Jun 2015 | | Contributor(s):: Brian Winkel

    Winkel, B. 2011. Parameter Estimates in Differential Equation Models for Population Growth. PRIMUS. 21(2): 101-129.See https://www.tandfonline.com/doi/abs/10.1080/10511970.2010.534834 . Article Abstract:  We estimate the parameters present in several differential equation...

  19. 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...

  20. 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...