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. Author manuscript; available in PMC: 2012 Dec 1.
Published in final edited form as: Math Biosci. 2011 Oct 6;234(2):132–146. doi: 10.1016/j.mbs.2011.09.005
Nomenclature
CSC cancer stem cell
HSC hematopoietic stem cell
NH number of healthy stem cells at random time of extinc-
tion of cancer stem cells
Mn time at which n clans of stem cells go extinct
Greek symbols
β birth rate per stem cell
δ death rate per stem cell
ϕ rate of quiescence per actively dividing stem cell
α rate of awakening per quiescent stem cell
ν death rate per quiescent stem cell
βC birth rate per cancer stem cell
δC death rate per cancer stem cell
βH birth rate per healthy stem cell
δH death rate per healthy stem cell
ϕC rate of quiescence per actively dividing cancer stem cell
αC rate of awakening per quiescent stem cancer cell
νC death rate per quiescent stem cancer stem cell
ϕH rate of quiescence per actively dividing healthy stem
cell
αH rate of awakening per quiescent healthy stem cell
νH death rate per quiescent healthy stem cell