Global dynamics of two-compartment models for cell production systems with regulatory mechanisms.

@article{Getto2013GlobalDO,
  title={Global dynamics of two-compartment models for cell production systems with regulatory mechanisms.},
  author={Philipp Getto and Anna Marciniak-Czochra and Yukihiko Nakata and Maria dM. Vivanco},
  journal={Mathematical biosciences},
  year={2013},
  volume={245 2},
  pages={258-68}
}
We present a global stability analysis of two-compartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell division rate or the self-renewal fraction regulated by the number of mature cells. The two-compartment systems constitute a basic version of the multicompartment models proposed recently by Marciniak-Czochra and collaborators [25] to investigate the dynamics of the hematopoietic… CONTINUE READING
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