Equilibria and stability analysis of a branched metabolic network with feedback inhibition

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 37, Issue 3, 2004, Pages 171-176

  Grognard, F ^a   Chitour, Y ^b   Bastin, G ^c  

^a INRIA   (France)

^b Universitè de Paris Sud   (France)

^c UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Limit cycle; Metabolic network; Small gain; Stability

Indexed keywords

METABOLISM; METABOLITES;

ACYCLIC NETWORKS; ENZYMATIC REACTION; FEEDBACK INHIBITION; METABOLIC NETWORK; METABOLIC REACTIONS; STABILITY ANALYSIS;

FEEDBACK;

EID: 85083201471     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (5)

1. Chitour Y., Grognard F. and Bastin G., "Stability analysis of a metabolic model with sequential feedback inhibition", in "Positive Systems and Applications. Proceedings of the First Multidisciplinary Symposium on Positive Systems (POSTA 2003) ", edited by Luca Benvenuti, Alberto De Santis and Lorenzo Farina, Lecture Notes on Control and Information Sciences vol. 294, Springer-Verlag, Heidelberg, 2003.
2. De Leenheer P., Angeli D. and Sontag E. D., "Smallgain theorems for predator-prey systems", in 'Tositive Systems and Applications... " (see Reference Chitour et al.)
3. Grognard F., Chitour Y, Bastin G., "Equilibria and stability analysis of a branched metabolic network with feedback inhibition", submitted to Mathematical Biosciences.
4. Stephanopoulos G., Aristidou A. and Nielsen J., "Metabolic Engineering: Principles and Methodologies", Academic Press, 1997.
5. Umbarger H. E., "Amino acid biosynthesis and regulation", Ann. Rev. Biochem., vol. 47, 533-606, 1978.