Sign patterns for chemical reaction networks

[1]  J. William Helton,et al.  Determinant Expansions of Signed Matrices and of Certain Jacobians , 2008, SIAM J. Matrix Anal. Appl..

[2]  Gheorghe Craciun,et al.  Homotopy methods for counting reaction network equilibria. , 2007, Mathematical biosciences.

[3]  Alicia Dickenstein,et al.  Toric dynamical systems , 2007, J. Symb. Comput..

[4]  Eduardo D. Sontag,et al.  A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks , 2007, 2007 46th IEEE Conference on Decision and Control.

[5]  Eduardo D. Sontag,et al.  Diagonal stability of a class of cyclic systems and its connection with the secant criterion , 2006, Autom..

[6]  M. Feinberg,et al.  Understanding bistability in complex enzyme-driven reaction networks. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[7]  B. Palsson.  Systems Biology: Properties of Reconstructed Networks , 2006 .

[8]  C. Soulé.  Graphic Requirements for Multistationarity , 2004, Complexus.

[9]  Eduardo Sontag,et al.  Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2 , 2003, Nature Cell Biology.

[10]  Eduardo Sontag,et al.  Monotone control systems , 2002, IEEE Trans. Autom. Control..

[11]  J. Demongeot,et al.  Positive and negative feedback: striking a balance between necessary antagonists. , 2002, Journal of theoretical biology.

[12]  R. Thomas,et al.  Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior. , 2001, Chaos.

[13]  J. Gouzé.  Positive and Negative Circuits in Dynamical Systems , 1998 .

[14]  Eduardo Sontag,et al.  A passivity-based stability criterion for a class of biochemical reaction networks. , 2008, Mathematical biosciences and engineering : MBE.

[15]  Bill Helton,et al.  Chemical Reaction Networks: Comparing Deficiency, Determinant Expansions, and Sign Patterns (ROUGH DRAFT) , 2008 .

[16]  Daniel A. Beard,et al.  Chemical Biophysics: Quantitative Analysis of Cellular Systems , 2008 .

[17]  Oddelek ZA Fiziko,et al.  UNIVERZA V LJUBLJANI FAKULTETA ZA MATEMATIKO IN FIZIKO , 2007 .

[18]  M. Feinberg,et al.  Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property , 2005, SIAM J. Appl. Math..

[19]  M. Feinberg,et al.  Multiple Equilibria in Complex Chemical Reaction Networks: Ii. the Species-reaction Graph * , 2005 .

[20]  J. Bauer,et al.  Chemical reaction network theory for in-silico biologists , 2003 .

[21]  FAKULTETA ZA MATEMATIKO IN FIZIKO , 2003 .

[22]  Richard A. Brualdi,et al.  Matrices of sign-solvable linear systems: Master bibliography , 1995 .

[23]  René Thomas.  On the Relation Between the Logical Structure of Systems and Their Ability to Generate Multiple Steady States or Sustained Oscillations , 1981 .

[24]  R. Jackson,et al.  General mass action kinetics , 1972 .