Stability analysis of multi-compartment models for cell production systems

• Verfasst von: Nakata, Yukihiko [VerfasserIn]
• Verfasst von: Getto, Philipp [VerfasserIn]
• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Titel: Stability analysis of multi-compartment models for cell production systems
• Verf.angabe: Yukihiko Nakata, Philipp Getto, Anna Marciniak-Czochra, Tomás Alarcón
• Umfang: 17 S.
• Fussnoten: Published online: 15 Apr 2011 ; Gesehen am 15.08.2017
• Titel Quelle: Enthalten in: Journal of biological dynamics
• Jahr Quelle: 2012
• Band/Heft Quelle: 6(2012), sup1, S. 2-18
• ISSN Quelle: 1751-3766
• DOI: doi:10.1080/17513758.2011.558214
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1562432044

Abstract

We study two- and three-compartment models of a hierarchical cell production system with cell division regulated by the level of mature cells. We investigate the structure of equilibria with respect to parameters as well as local stability properties for the equilibria. To interpret the results we adapt the concept of reproduction numbers, which is well known in ecology, to stem cell population dynamics. In the two-compartment model, the positive equilibrium is stable wherever it exists. In the three-compartment model, we find that the intermediate stage of differentiation is responsible for the emergence of an instability region in the parameter plane. Moreover, we prove that this region shrinks as the mortality rate for mature cells increases and discuss this result.