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6-029-TumorGrowth-ModelingScenario

Author(s): Allison Lewis

Lafayette College, Easton PA USA

Keywords: Pop_Growth Pilot logistic comparment tumor synthetic data sum of squares error

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Abstract

Resource Image This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Principles of How People Learn
Bloom's Cognitive Level

Description

Students should have prior experience with solving ODEs using the separable method, and may have prior exposure to the logistic growth model (though this is not required). By the end of the activity. students will have been exposed to using compartment diagrams to build systems of ODEs, and will be able to discuss how including an additional layer of biological complexity may better enable the modeler to fit the model to experimental data. This activity is designed to take place over 1-2 class periods and requires no supplies beyond a simple worksheet and accessibility to software for visually fitting a model to data (i.e. Desmos or similar).

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Authors

Author(s): Allison Lewis

Lafayette College, Easton PA USA

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