Abstract
This chapter discusses a two allele model of colon cancer using two pathways to cancer: the CIN and Non CIN where CIN is the category of cells having chromosomal instability. The model gives a linear ODE system with six variables: three for the Non CIN pathway and three for the CIN pathway. The model is used to determine which of the two pathways is the dominant one that leads to cancer. To answer this question, the solutions to this system are approximated with a very careful error analysis. The key variables here are the rate of CIN and the size of the cell population. A simple algebraic relationship between these two variables is developed which predicts which pathway is dominant.
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© 2016 Springer Science+Business Media Singapore
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Peterson, J.K. (2016). A Cancer Model. In: Calculus for Cognitive Scientists. Cognitive Science and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-287-877-9_13
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DOI: https://doi.org/10.1007/978-981-287-877-9_13
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Publisher Name: Springer, Singapore
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Online ISBN: 978-981-287-877-9
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