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.

Transition from rings to spots in a precipitation reaction–diffusion system

RSC Advances ◽  
2014 ◽  
Vol 4 (104) ◽  
pp. 60034-60038 ◽  
Author(s):  
Malak Dayeh ◽  
Manal Ammar ◽  
Mazen Al-Ghoul
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Precipitation Reaction ◽  
Hexagonal Symmetry ◽  
Periodic Precipitation ◽  
Precipitation System ◽  
System P ◽  
First Time

We report for the first time the transition from rings to spots with squared/hexagonal symmetry in a periodic precipitation system, which consists of sulfide/hydroxide ions diffusing into a gel matrix containing dissolved cadmium(ii) ions.

Turing structures and turbulence in a chemical reaction-diffusion system

1995 ◽  
Vol 3 (2) ◽  
pp. 215-235 ◽  
Author(s):  
O. Jensen ◽  
V. O. Pannbacker ◽  
E. Mosekilde ◽  
G. Dewel ◽  
P. Borckmans
Keyword(s):  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Turing Structures

scholarly journals Singular Hopf-bifurcation in a chemical reaction-diffusion system

1998 ◽  
Vol 11 (4) ◽  
pp. 127-131
Author(s):  
M. Mimura ◽  
M. Nagayama ◽  
K. Sakamoto
Keyword(s):  
Hopf Bifurcation ◽  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System

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.

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