scholarly journals Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

2012 ◽  
Vol 72 (6) ◽  
pp. 1926-1947 ◽  
Author(s):  
Stefan Müller ◽  
Georg Regensburger
Keyword(s):  
Mass Action ◽  
Kinetic Order ◽  
Action Systems ◽  
Complex Balancing

Stability and complex balancing in mass-action systems with three short complexes

1973 ◽  
Vol 334 (1598) ◽  
pp. 331-342 ◽  
Keyword(s):  
Rate Constants ◽  
Mass Action ◽  
Isomorphism Classes ◽  
Action Systems ◽  
Complex Balancing ◽  
Necessary And Sufficient

General methods developed previously (Feinberg 1973; Horn & Jackson 1972; Horn 1973 a, b, c ) are used in order to analyse all mass-action systems with three short complexes. It is shown that there exist in all 43 different isomorphism classes of collections of three short complexes and that the weakly reversible mass-action systems which are associated with 41 of these classes are unconditionally complex balanced. For the remaining mass-action systems the condition on the rate constants is given, which is necessary and sufficient to ensure complex balancing. It is also shown that all weakly reversible mass-action systems with three short complexes are quasithermodynamic and, therefore, exhibit the dynamic regularity which is associated with that condition.

scholarly journals Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability

2020 ◽  
Vol 17 (1) ◽  
pp. 442-459
Author(s):  
Balázs Boros ◽  
◽  
Stefan Müller ◽  
Georg Regensburger ◽  
Keyword(s):  
Linear Stability ◽  
Necessary Conditions ◽  
Mass Action ◽  
Action Systems

scholarly journals Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems

2005 ◽  
Vol 40 (6) ◽  
pp. 1361-1382 ◽  
Author(s):  
Karin Gatermann ◽  
Markus Eiswirth ◽  
Anke Sensse
Keyword(s):  
Graph Theory ◽  
Mass Action ◽  
Hopf Bifurcations ◽  
Toric Ideals ◽  
Action Systems

Kinetic investigation of complex pseudo mass action systems by use of the pulse method

1980 ◽  
Vol 58 (4) ◽  
pp. 513-516 ◽  
Author(s):  
Erhard G. Christoffel ◽  
Indarto T. Surjo ◽  
Karl-H. Robschlager
Keyword(s):  
Pulse Method ◽  
Mass Action ◽  
Kinetic Investigation ◽  
Action Systems

scholarly journals Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States

2020 ◽  
Vol 80 (4) ◽  
pp. 1936-1946 ◽  
Author(s):  
Balázs Boros ◽  
Gheorghe Craciun ◽  
Polly Y. Yu
Keyword(s):  
Steady States ◽  
Mass Action ◽  
Action Systems ◽  
Positive Steady States
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