scholarly journals Analytical Solution of Steady-State Equations for Chemical Reaction Networks with Bilinear Rate Laws

2013 ◽  
Vol 10 (4) ◽  
pp. 957-969 ◽  
Author(s):  
Adam M. Halasz ◽  
Hong-Jian Lai ◽  
Meghan McCabe Pryor ◽  
Krishnan Radhakrishnan ◽  
Jeremy S. Edwards
Keyword(s):  
Steady State ◽  
Analytical Solution ◽  
Chemical Reaction ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
State Equations ◽  
Rate Laws

scholarly journals Insights into the relation between noise and biological complexity

2017 ◽  
Author(s):  
Fabrizio Pucci ◽  
Marianne Rooman
Keyword(s):  
Steady State ◽  
Systems Biology ◽  
Chemical Reaction ◽  
Intrinsic Noise ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
Global Level ◽  
Biological Complexity ◽  
Lower Complexity

Understanding under which conditions the increase of systems complexity is evolutionary advantageous, and how this trend is related to the modulation of the intrinsic noise, are fascinating issues of utmost importance for synthetic and systems biology. To get insights into these matters, we analyzed chemical reaction networks with different topologies and degrees of complexity, interacting or not with the environment. We showed that the global level of fluctuations at the steady state, as measured by the sum of the Fano factors of the number of molecules of all species, is directly related to the topology of the network. For systems with zero deficiency, this sum is constant and equal to the rank of the network. For higher deficiencies, we observed an increase or decrease of the fluctuation levels according to the values of the reaction fluxes that link internal species, multiplied by the associated stoichiometry. We showed that the noise is reduced when the fluxes all flow towards the species of higher complexity, whereas it is amplified when the fluxes are directed towards lower complexity species.PACS numbers: 02.50.Ey, 05.10.Gg, 05.40.Ca, 87.18.-h

scholarly journals Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method

PLoS ONE ◽  
2010 ◽  
Vol 5 (6) ◽  
pp. e10823 ◽  
Author(s):  
Ivan Martínez-Forero ◽  
Antonio Peláez-López ◽  
Pablo Villoslada
Keyword(s):  
Steady State ◽  
Chemical Reaction ◽  
Analytical Method ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
State Detection

An Observer for Mass-action Chemical Reaction Networks

2009 ◽  
Vol 15 (5) ◽  
pp. 578-597
Author(s):  
Marcello Farina ◽  
Sergio Bittanti
Keyword(s):  
Chemical Reaction ◽  
Chemical Reaction Networks ◽  
Mass Action ◽  
Reaction Networks

scholarly journals A chemically consistent graph architecture for massive reaction networks applied to solid-electrolyte interphase formation

2021 ◽  
Author(s):  
Samuel M. Blau ◽  
Hetal D Patel ◽  
Evan Walter Clark Spotte-Smith ◽  
Xiaowei Xie ◽  
Shyam Dwaraknath ◽  
...  
Keyword(s):  
Energy Storage ◽  
Solid Electrolyte ◽  
Chemical Reaction ◽  
Solid Electrolyte Interphase ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
Mechanistic Understanding

Modeling reactivity with chemical reaction networks could yield fundamental mechanistic understanding that would expedite the development of processes and technologies for energy storage, medicine, catalysis, and more. Thus far, reaction...

scholarly journals Disturbance Attenuation via Nonlinear Feedback for Chemical Reaction Networks

2020 ◽  
Vol 53 (2) ◽  
pp. 11497-11502
Author(s):  
Lőrinc Márton ◽  
Katalin M. Hangos ◽  
Gábor Szederkényi
Keyword(s):  
Chemical Reaction ◽  
Chemical Reaction Networks ◽  
Disturbance Attenuation ◽  
Reaction Networks ◽  
Nonlinear Feedback
Sign in / Sign up

Export Citation Format

Share Document