Chaoticity of the blood cell production system.
We present a structured model of stem cells given by a partial differential equation. This equation generates a semiflow acting on the set of densities. We show that this semiflow possesses an invariant exact measure positive on open sets. From this it follows that the system is chaotic, i.e., it has dense trajectories and each trajectory is unstable.
Rudnicki
Ryszard
R
Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland. rudnicki@us.edu.pl
D000818:Animals; D001773:Blood Cells / Q000166:cytology* / Q000502:physiology*; D001854:Bone Marrow Cells / Q000166:cytology* / Q000502:physiology*; D002454:Cell Differentiation; D003198:Computer Simulation; D006410:Hematopoiesis / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D017711:Nonlinear Dynamics