Stem cell differentiation as a renewal-reward process: Predictions and validation in the colonic crypt

Kiran Gireesan Vanaja, Andrew P. Feinberg, Andre Levchenko

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish (US)
Title of host publicationAdvances in Systems Biology
Pages199-209
Number of pages11
DOIs
StatePublished - Jan 23 2012

Publication series

NameAdvances in Experimental Medicine and Biology
Volume736
ISSN (Print)0065-2598

    Fingerprint

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)

Cite this

Vanaja, K. G., Feinberg, A. P., & Levchenko, A. (2012). Stem cell differentiation as a renewal-reward process: Predictions and validation in the colonic crypt. In Advances in Systems Biology (pp. 199-209). (Advances in Experimental Medicine and Biology; Vol. 736). https://doi.org/10.1007/978-1-4419-7210-1_11