We establish that mass conserving single terminal-linkage networks of chemical reactions admit positive equilibria regardless of the choice of reaction rate constants and network deficiency . Our proof uses a new convex-optimization approach for analyzing the equilibrium behavior of networks of chemical reactions following mass-action kinetics. We provide a fixed-point method to compute these equilibria and report some of our numerical experiments.
We establish that mass conserving single terminal-linkage networks of chemical reactions admit positive steady states regardless of network deficiency and the choice of reaction rate constants . This result holds for closed systems without material exchange across the boundary, as well as for open systems with material exchange at rates that satisfy a simple sufficient and necessary condition . Our proof uses a fixed point of a novel convex optimization formulation to find the steady state behavior of chemical reaction networks that satisfy the law of mass-action kinetics. A fixed point iteration can be used to compute these steady states, and we show that it converges for weakly reversible homogeneous systems. We report the results of our algorithm on numerical experiments.
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equilibria regardless of
steady states regardless of network deficiency and
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and network deficiency
. This result holds for closed systems without material exchange across the boundary, as well as for open systems with material exchange at rates that satisfy a simple sufficient and necessary condition
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new convex-optimization approach for analyzing the equilibrium behavior of networks of chemical reactions following
fixed point of a novel convex optimization formulation to find the steady state behavior of chemical reaction networks that satisfy the law of
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We provide a fixed-point method
A fixed point iteration can be used
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equilibria and report some of our
steady states, and we show that it converges for weakly reversible homogeneous systems. We report the results of our algorithm on