English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We establish that mass conserving single terminal-linkage networks ofchemical reactions admit positive steady states regardless of networkdeficiency and the choice of reaction rate constants. This result holds forclosed systems without material exchange across the boundary, as well as foropen systems with material exchange at rates that satisfy a simple sufficientand necessary condition. Our proof uses a fixed point of a novel convexoptimization formulation to find the steady state behavior of chemical reactionnetworks that satisfy the law of mass-action kinetics. A fixed point iterationcan be used to compute these steady states, and we show that it converges forweakly reversible homogeneous systems. We report the results of our algorithmon numerical experiments.

Existence of Positive Steady States for Mass Conserving and Mass-Action Chemical Reaction Networks with a Single Terminal-Linkage Class