Clonal dominance and transplantation dynamics in hematopoietic stem cell compartments
Fig 1
Compartmental model for a single population of HSCs.
The bone marrow (BM) compartment has a fixed total of N niches. At a given time, n of the niches are occupied, and N − n remain unoccupied. The peripheral blood (PB) compartment has no size restriction, and at a given time contains s HSCs. A HSC in the BM can detach at rate d and enter the PB, while a cell in the PB can attach to an unoccupied niche with rate a(N − n)/N. Here (N − n)/N is the fraction of unoccupied niches. HSCs may die in the PB or BM with rates δ and δ′. Reproduction (symmetric division) of HSCs occurs at rate β. The new daughter cell attaches to an empty niche with probability ρ, otherwise it is ejected into the PB. Dynamics are concretely described by the reactions in Eq (1).