Computational Design of Reaction-Diffusion Patterns Using DNA-Based Chemical Reaction Networks

2014 ◽  
pp. 84-99 ◽  
Author(s):  
Neil Dalchau ◽  
Georg Seelig ◽  
Andrew Phillips
Keyword(s):  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Computational Design ◽  
Chemical Reaction Networks ◽  
Reaction Networks

scholarly journals Programmable patterns in a DNA-based reaction–diffusion system

Soft Matter ◽  
2020 ◽  
Vol 16 (14) ◽  
pp. 3555-3563 ◽  
Author(s):  
Sifang Chen ◽  
Georg Seelig
Keyword(s):  
Chemical Reaction ◽  
In Silico ◽  
Reaction Diffusion ◽  
Chemical Reaction Networks ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Reaction Networks ◽  
System P

We report programmable reaction–diffusion patterns in DNA-based hydrogels, simulated and designed in silico using chemical reaction networks.

scholarly journals On the linear stability of some finite difference schemes for nonlinear reaction-diffusion models of chemical reaction networks

2018 ◽  
Vol 9 (1) ◽  
pp. 121-140
Author(s):  
Nathan Muyinda ◽  
Bernard De Baets ◽  
Shodhan Rao
Keyword(s):  
Finite Difference ◽  
Chemical Reaction ◽  
Jacobian Matrix ◽  
Sufficient Conditions ◽  
Reaction Diffusion ◽  
Chemical Reaction Networks ◽  
Difference Schemes ◽  
Reaction Diffusion Equations ◽  
Reaction Networks ◽  
Finite Difference Schemes

Abstract We identify sufficient conditions for the stability of some well-known finite difference schemes for the solution of the multivariable reaction-diffusion equations that model chemical reaction networks. Since the equations are mainly nonlinear, these conditions are obtained through local linearization. A recurrent condition is that the Jacobian matrix of the reaction part evaluated at some positive unknown solution is either D-semi-stable or semi-stable. We demonstrate that for a single reversible chemical reaction whose kinetics are monotone, the Jacobian matrix is D-semi-stable and therefore such schemes are guaranteed to work well.

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
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