TY - CHAP
T1 - Stem cell differentiation as a renewal-reward process
T2 - Predictions and validation in the colonic crypt
AU - Vanaja, Kiran Gireesan
AU - Feinberg, Andrew P.
AU - Levchenko, Andre
PY - 2012
Y1 - 2012
N2 - Stem cells serve as persistent reservoirs for replenishment of rapidly renewing tissues, frequently also ensuring that the correct tissue morphology is maintained. This process is inherently stochastic due to the small number and stochastic division patterns within the stem cell compartments, as well as the essentially stochastic differentiation events that follow the initial stem cell expansion. Here we propose a new formalism to describe this process, by employing the approach known in statistics as the renewal-reward process. Using this approximation allows application of the mathematical apparatus developed for renewal-reward processes to the stochastic stem cell biology. We show in the context of colonic crypts that the resulting predictions match the experimental results, while also providing a convenient tool for analysis of normal and abnormal differentiation processes.
AB - Stem cells serve as persistent reservoirs for replenishment of rapidly renewing tissues, frequently also ensuring that the correct tissue morphology is maintained. This process is inherently stochastic due to the small number and stochastic division patterns within the stem cell compartments, as well as the essentially stochastic differentiation events that follow the initial stem cell expansion. Here we propose a new formalism to describe this process, by employing the approach known in statistics as the renewal-reward process. Using this approximation allows application of the mathematical apparatus developed for renewal-reward processes to the stochastic stem cell biology. We show in the context of colonic crypts that the resulting predictions match the experimental results, while also providing a convenient tool for analysis of normal and abnormal differentiation processes.
UR - http://www.scopus.com/inward/record.url?scp=84855938729&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84855938729&partnerID=8YFLogxK
U2 - 10.1007/978-1-4419-7210-1_11
DO - 10.1007/978-1-4419-7210-1_11
M3 - Chapter
C2 - 22161330
AN - SCOPUS:84855938729
SN - 9781441972095
T3 - Advances in Experimental Medicine and Biology
SP - 199
EP - 209
BT - Advances in Systems Biology
ER -