Emulating Cellular Automata in Chemical Reaction-Diffusion Networks

2014 ◽  
pp. 67-83 ◽  
Author(s):  
Dominic Scalise ◽  
Rebecca Schulman
Keyword(s):  
Cellular Automata ◽  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Diffusion Networks

Emulating cellular automata in chemical reaction–diffusion networks

2015 ◽  
Vol 15 (2) ◽  
pp. 197-214 ◽  
Author(s):  
Dominic Scalise ◽  
Rebecca Schulman
Keyword(s):  
Cellular Automata ◽  
Chemical Reaction ◽  
Reaction Diffusion ◽  
Diffusion Networks

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 Chemical reaction-diffusion networks: convergence of the method of lines

2017 ◽  
Vol 56 (1) ◽  
pp. 30-68 ◽  
Author(s):  
Fatma Mohamed ◽  
Casian Pantea ◽  
Adrian Tudorascu
Keyword(s):  
Chemical Reaction ◽  
Method Of Lines ◽  
Reaction Diffusion ◽  
The Method Of Lines ◽  
Diffusion Networks

scholarly journals EVOLVING LOCALIZATIONS IN REACTION-DIFFUSION CELLULAR AUTOMATA

2008 ◽  
Vol 19 (04) ◽  
pp. 557-567 ◽  
Author(s):  
ANDREW ADAMATZKY ◽  
LARRY BULL ◽  
PIERRE COLLET ◽  
EMMANUEL SAPIN
Keyword(s):  
Cellular Automata ◽  
Chemical Species ◽  
Reaction Diffusion ◽  
Discrete Systems ◽  
Chemical Systems ◽  
Transition Functions ◽  
Phenomenological Studies ◽  
Spatially Extended ◽  
Limited Diffusion

We consider hexagonal cellular automata with immediate cell neighbourhood and three cell-states. Every cell calculates its next state depending on the integral representation of states in its neighbourhood, i.e., how many neighbours are in each one state. We employ evolutionary algorithms to breed local transition functions that support mobile localizations (gliders), and characterize sets of the functions selected in terms of quasi-chemical systems. Analysis of the set of functions evolved allows to speculate that mobile localizations are likely to emerge in the quasi-chemical systems with limited diffusion of one reagent, a small number of molecules are required for amplification of travelling localizations, and reactions leading to stationary localizations involve relatively equal amount of quasi-chemical species. Techniques developed can be applied in cascading signals in nature-inspired spatially extended computing devices, and phenomenological studies and classification of non-linear discrete systems.

Creativity and ALife

2015 ◽  
Vol 21 (3) ◽  
pp. 354-365 ◽  
Author(s):  
Margaret A. Boden
Keyword(s):  
Genetic Algorithms ◽  
Cellular Automata ◽  
Reaction Diffusion ◽  
Evolutionary Programming ◽  
Diffusion Models ◽  
Do So

Three forms of creativity are exemplified in biology and studied in ALife. Combinational creativity exists as the first step in genetic algorithms. Exploratory creativity is seen in models using cellular automata or evolutionary programs. Transformational creativity can result from evolutionary programming. Even radically novel forms can do so, given input from outside the program itself. Transformational creativity appears also in reaction-diffusion models of morphogenesis. That there are limits to biological creativity is suggested by ALife work bearing on instances of biological impossibility.

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.

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