Skip to main page content
Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
Comparative Study
. Nov-Dec 2007;90(3):591-601.
doi: 10.1016/j.biosystems.2007.01.003. Epub 2007 Jan 14.

Steady State and (Bi-) Stability Evaluation of Simple Protease Signalling Networks

Free article
Comparative Study

Steady State and (Bi-) Stability Evaluation of Simple Protease Signalling Networks

Thomas Eissing et al. Biosystems. .
Free article


Signal transduction networks are complex, as are their mathematical models. Gaining a deeper understanding requires a system analysis. Important aspects are the number, location and stability of steady states. In particular, bistability has been recognised as an important feature to achieve molecular switching. This paper compares different model structures and analysis methods particularly useful for bistability analysis. The biological applications include proteolytic cascades as, for example, encountered in the apoptotic signalling pathway or in the blood clotting system. We compare three model structures containing zero-order, inhibitor and cooperative ultrasensitive reactions, all known to achieve bistability. The combination of phase plane and bifurcation analysis provides an illustrative and comprehensive understanding of how bistability can be achieved and indicates how robust this behaviour is. Experimentally, some so-called "inactive" components were shown to have a residual activity. This has been mostly ignored in mathematical models. Our analysis reveals that bistability is only mildly affected in the case of zero-order or inhibitor ultrasensitivity. However, the case where bistability is achieved by cooperative ultrasensitivity is severely affected by this perturbation.

Similar articles

See all similar articles

Cited by 8 articles

See all "Cited by" articles

Publication types