ISSN:
1522-9602
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Biologie
,
Mathematik
Notizen:
Abstract In the present paper we discuss the behaviour of solutions of a dynamical system describing the growth of cells in a well-mixed continuous culture where the supply of the growth-limiting nutrient depends on the activity of an enzyme outside the cell membrane. It turns out that for positive dilution rates there exists an exponentially attractive two-dimensional simplex. Furthermore, the reversed system restricted to this simplex is quasimonotone. In every case all trajectories tend to an equilibrium state.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF02458825