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Circadian Oscillations of the Intestinal Stem Cell Lineage

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Author: Waldman, Brian
Advisor: Tian, Jianjun Paul
Committee Members: Heideman, Paul D.; Lewis, Robert Michael; Shi, Junping
Issued Date: 7/17/2012
Subjects: Stem cells
Differential equations
Time delay
Colorectal cancer
Intestinal crypt
URI: http://hdl.handle.net/10288/16738
Description: Colorectal cancer is one of the most common forms of cancer, and it is widely accepted that it is initiated in the colon crypts. Consequently, a lot of work has been put into understanding the cell dynamics of intestinal crypts. In rodents, circadian oscillations have been observed in the three di erent cell populations at whole gut level. The goal of this thesis is to capture this phenomenon and draw biological conclusions. First, we look at previous models of a single intestinal crypt. The rst two lay the groundwork by introducing a compartmental approach, and the second two introduce methods for maintaining homeostasis. We capture the circadian phenomenon by introducing time delays to these older models. The time delays represent the time it takes the cell populations to send, receive, and respond to signals. In our models we observe that longer delays for the stem cell population lead to periodic solutions for all three cell populations. We conclude that the response of the stem cell population is delayed, and that this is related to the circadian oscillations.
Degree: Bachelors of Science in Mathematics

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