Emergence of heterogeneous structures in chemical reaction-diffusion networks

2010 ◽  
Vol 82 (4) ◽  
Author(s):  
Qi Xuan ◽  
Fang Du ◽  
Tie-Jun Wu ◽  
Guanrong Chen
Keyword(s):  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Heterogeneous Structures ◽  
Diffusion Networks

scholarly journals Qualitative analysis of an autocatalytic chemical reaction model with decay

2014 ◽  
Vol 144 (2) ◽  
pp. 427-446 ◽  
Author(s):  
Jun Zhou ◽  
Junping Shi
Keyword(s):  
Steady State ◽  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Steady State Solution ◽  
Reaction Model ◽  
Existence Of A Solution ◽  
Positive Steady State ◽  
Chemical Reaction Model ◽  
The One ◽  
Necessary And Sufficient

In this paper, we revisit a reaction—diffusion autocatalytic chemical reaction model with decay. For higher-order reactions, we prove that the system possesses at least two positive steady-state solutions; hence, it has bistable dynamics similar to the system without decay. For the linear reaction, we determine the necessary and sufficient condition to ensure the existence of a solution. Moreover, in the one-dimensional case, we prove that the positive steady-state solution is unique. Our results demonstrate the drastic difference in dynamics caused by the order of chemical reactions.

Information Processing by Chemical Reaction-Diffusion Media

2011 ◽  
pp. 455-483
Author(s):  
Nicholas G. Rambidi
Keyword(s):  
Cerebral Cortex ◽  
Information Processing ◽  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Neural Net ◽  
Optical Illusions ◽  
Diffusion Media

Biological roots and specific neural net architecture of reaction-diffusion media seem to enable simulating some phenomena inherent in the cerebral cortex, such as optical illusions.

Small molecule reaction networks that model the ROS dynamics of the rhizosphere

2019 ◽  
Vol 55 (25) ◽  
pp. 3602-3605 ◽  
Author(s):  
Olga Taran ◽  
Vraj Patel ◽  
David G. Lynn
Keyword(s):  
Small Molecule ◽  
Reaction Diffusion ◽  
Reaction Networks ◽  
Form Complex ◽  
Molecule Reaction ◽  
Diffusion Networks

Molecules released by plants and bacteria form complex abiotic reaction diffusion networks that might regulate the ROS dynamics along the roots of the plants.

Sign in / Sign up

Export Citation Format

Share Document