1-081-S-TumorGrowth

By Randy Boucher1, Ryan Edmund Miller2

1. United States Military Academy, West Point NY USA 2. Mathematics, United States Military Academy, West Point NY USA

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Modeling Scenarios

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Abstract

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 designed to further their understanding of growth models and to refine their ability to analyze and compare mathematical models.

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Researchers should cite this work as follows:

  • Randy Boucher; Ryan Edmund Miller (2018), "1-081-S-TumorGrowth," https://www.simiode.org/resources/4811.

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Tags

  1. autonomous
  2. differential
  3. Gompertz
  4. logistic
  5. model comparison
  6. nonlinear
  7. order
  8. population
  9. PPGR
  10. SSE
  11. tumor