Computation of amplification for systems arising from cellular signaling pathways

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 7-12

  Sontag, Eduardo D ^a   Chaves, Madalena ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Gains; Nonlinear systems; Norms; Signaling pathways

Indexed keywords

LINEAR SYSTEMS;

GAINS; INPUT/OUTPUT; INTRACELLULAR SIGNALING; NON-LINEAR MODEL; NORMS; NUMERICAL VALUES; SIGNAL AMPLIFICATIONS; SIGNALING PATHWAYS;

NONLINEAR SYSTEMS;

EID: 79960703324     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20050703-6-cz-1902.02205     Document Type: Conference Paper

References (8)

1. D. Angeli, J. E. Ferrell Jr., and E. D. Sontag, Detection of Multi-Stability, Bifurcations, and Hysteresis in a Large Class of Biological Positive-Feedback Systems, Proceedings of the National Academy of Sciences USA 101(2004) 1822-1827.
2. D. Angeli and E. D. Sontag, Monotone Control Systems, IEEE Trans. Autom. Control, 48(2003): 1684-1698.
3. M. Chaves, E. D. Sontag, and R. Dinerstein, Optimal Length and Signal Amplification in Weakly Activated Signal Transduction Cascades, J. Physical Chemistry, to appear.
4. J. Doyle, B. Francis and A. Tannenbaum, Feed-back Control Systems, MacMillan Publishing Co, 1992. Also available on the web at: http://www.control.utoronto.ca/-people/profs/francis/dft.html.
5. R. Heinrich, B. G. Neel and T. A. Rapoport, Mathematical Models of Protein Kinase Signal Transduction, Molecular Cell, 9(2002) 957-970.
6. V. Lakshmikantham and S. Leela. Differential and Integral Inequalities, Academic Press, N.Y., 1969.
7. H. L. Smith, Monotone Dynamical Systems, AMS, Providence, 1995.
8. E. D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems, (2nd edition), Springer, NY, 1998.