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On the internalisation, intraplasmodial carriage and excretion of metallic nanoparticles in the slime mould, Physarum polycephalum (2011)
Journal Article
Mayne, R., Patton, D., Costello, B. D. L., Adamatzky, A., & Patton, R. C. (2011). On the internalisation, intraplasmodial carriage and excretion of metallic nanoparticles in the slime mould, Physarum polycephalum. International Journal of Nanotechnology and Molecular Computation, 3(3), 1-14. https://doi.org/10.4018/ijnmc.2011070101

The plasmodium of Physarum polycephalum is a large single cell visible with the naked eye. When inoculated on a substrate with attractants and repellents the plasmodium develops optimal networks of protoplasmic tubes which span sites of attractants (... Read More about On the internalisation, intraplasmodial carriage and excretion of metallic nanoparticles in the slime mould, Physarum polycephalum.

Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton (2010)
Journal Article
Martínez, G. J., Adamatzky, A., Zhang, L., & Wuensche, A. (2010). Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton. Mathematical and Computer Modelling, 52(1-2), 177-190. https://doi.org/10.1016/j.mcm.2010.02.006

We study transformations of 2-, 4- and 6-bit numbers in interactions between traveling and stationary localizations in the Spiral Rule reaction-diffusion cellular automaton. The Spiral Rule automaton is a hexagonal ternary-state two-dimensional cellu... Read More about Operating binary strings using gliders and eaters in reaction-diffusion cellular automaton.

How to make dull cellular automata complex by adding memory: Rule 126 case study (2010)
Journal Article
Seck-Tuoh-Mora, J. C., Martínez, G. J., Adamatzky, A., Mora, J. C., & Alonso-Sanz, R. (2010). How to make dull cellular automata complex by adding memory: Rule 126 case study. Complexity, 15(6), 34-49. https://doi.org/10.1002/cplx.20311

Using Rule 126 elementary cellular automaton (ECA), we demonstrate that a chaotic discrete system - when enriched with memory - hence exhibits complex dynamics where such space exploits on an ample universe of periodic patterns induced from original... Read More about How to make dull cellular automata complex by adding memory: Rule 126 case study.

Road planning with slime mould: If Physarum built motorways it would route M6/M74 through Newcastle (2010)
Journal Article
Adamatzky, A., & Jones, J. (2010). Road planning with slime mould: If Physarum built motorways it would route M6/M74 through Newcastle. International Journal of Bifurcation and Chaos, 20(10), 3065-3084. https://doi.org/10.1142/S0218127410027568

Plasmodium of Physarum polycephalum is a single cell visible by unaided eye. During its foraging behavior the cell spans spatially distributed sources of nutrients with a protoplasmic network. Geometrical structure of the protoplasmic networks allows... Read More about Road planning with slime mould: If Physarum built motorways it would route M6/M74 through Newcastle.

On generative morphological diversity of elementary cellular automata (2010)
Journal Article
Adamatzky, A., & Martinez, G. J. (2010). On generative morphological diversity of elementary cellular automata. Kybernetes, 39(1), 72-82. https://doi.org/10.1108/03684921011021282

Purpose: Studies in complexity of cellular automata do usually deal with measures taken on integral dynamics or statistical measures of space-time configurations. No one has tried to analyze a generative power of cellular-automaton machines. The purp... Read More about On generative morphological diversity of elementary cellular automata.

Complex dynamics emerging in Rule 30 with majority memory (2010)
Journal Article
Martinez, G. J., Adamatzky, A., Alonso-Sanz, R., & Mora, J. C. (2010). Complex dynamics emerging in Rule 30 with majority memory. Complex Systems -Champaign-, 18(3), 345-365

In cellular automata with memory, the unchanged maps of the conventional cellular automata are applied to cells endowed with memory of their past states in some specified interval. We implement Rule 30 automata with a majority memory and show that usi... Read More about Complex dynamics emerging in Rule 30 with majority memory.

Localization dynamics in a binary two-dimensional cellular automaton: The Diffusion Rule (2010)
Journal Article
Martinez, G. J., Adamatzky, A., & McIntosh, H. V. (2010). Localization dynamics in a binary two-dimensional cellular automaton: The Diffusion Rule. Journal of Cellular Automata, 5(4-5), 289-313

We study a two-dimensional cellular automaton (CA), called Diffusion Rule (DR), which exhibits diffusion-like dynamics of propagating patterns. In computational experiments we discover a wide range of mobile and stationary localizations (gliders, osc... Read More about Localization dynamics in a binary two-dimensional cellular automaton: The Diffusion Rule.

Majority adder implementation by competing patterns in life-like rule B2/S2345 (2010)
Journal Article
Martinez, G. J., Morita, K., Adamatzky, A., & Margenstern, M. (2010). Majority adder implementation by competing patterns in life-like rule B2/S2345. Lecture Notes in Artificial Intelligence, 6079, 93-104

In this paper we present a two-dimensional chaotic cellular automaton, the Life rule B2/S2345, able to simulate the action of an adder with majority gates, stimulated by gliders collisions transformed as competing patterns. Values of Boolean variable... Read More about Majority adder implementation by competing patterns in life-like rule B2/S2345.

Chemical tessellations - Results of binary and tertiary reactions between metal ions and ferricyanide or ferrocyanide loaded gels (2010)
Journal Article
de Lacy Costello, B., Jahan, I., Hambidge, P., Locking, K., Patel, D., & Adamatzky, A. (2010). Chemical tessellations - Results of binary and tertiary reactions between metal ions and ferricyanide or ferrocyanide loaded gels. International Journal of Bifurcation and Chaos, 20(7), 2241-2252. https://doi.org/10.1142/S0218127410027064

In our recent letter [de Lacy Costello et al., 2009] we described the formation of spontaneous complex tessellations of the plane constructed in simple chemical reactions between drops of metal salts and ferricyanide or ferrocyanide loaded gels. In t... Read More about Chemical tessellations - Results of binary and tertiary reactions between metal ions and ferricyanide or ferrocyanide loaded gels.

Genetic approaches to search for computing patterns in cellular automata (2009)
Journal Article
Sapin, E., Bull, L., & Adamatzky, A. (2009). Genetic approaches to search for computing patterns in cellular automata. IEEE Computational Intelligence Magazine, 4(3), 20-28. https://doi.org/10.1109/MCI.2009.933097

The emergence of collision based computing in complex systems with local interactions is discussed. Simulations of logic gates have been inspired by the simulation of an AND gate by the Game of Life. The evolutionary algorithm is also used to modify... Read More about Genetic approaches to search for computing patterns in cellular automata.

Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction (2009)
Journal Article
Toth, R., Stone, C., Adamatzky, A., de Lacy Costello, B., & Bull, L. (2009). Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction. Chaos, Solitons and Fractals, 41(4), 1605-1615. https://doi.org/10.1016/j.chaos.2008.07.001

Using the examples of an excitable chemical system (the Belousov–Zhabotinsky medium) and plasmodium of Physarum polycephalum we show that universal computation in a geometrically unconstrained medium is only possible when resources (excitability or c... Read More about Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction.

Experimental validation of binary collisions between wave fragments in the photosensitive Belousov-Zhabotinsky reaction (2009)
Journal Article
Toth, R., Stone, C., Adamatzky, A., de Lacy Costello, B., & Bull, L. (2009). Experimental validation of binary collisions between wave fragments in the photosensitive Belousov-Zhabotinsky reaction. Chaos, Solitons and Fractals, 41(4), 1605-1615. https://doi.org/10.1016/j.chaos.2008.07.001

We present experimental verification of wave fragment collisions in the sub-excitable Belousov-Zhabotinsky medium observed previously in simulation [Adamatzky A, De Lacy Costello B. Binary collisions between wave fragments in a sub-excitable Belousov... Read More about Experimental validation of binary collisions between wave fragments in the photosensitive Belousov-Zhabotinsky reaction.

Localizations in cellular automata with mutualistic excitation rules (2009)
Journal Article
Adamatzky, A. (2009). Localizations in cellular automata with mutualistic excitation rules. Chaos, Solitons and Fractals, 40(2), 981-1003. https://doi.org/10.1016/j.chaos.2007.08.085

Every cell of two-dimensional cellular automaton with eight-cell neighborhood takes three states: resting, excited and refractory, and updates excited to refractory and refractory to resting states unconditionally. A resting cell excites depending on... Read More about Localizations in cellular automata with mutualistic excitation rules.

Spiral formation and degeneration in heterogeneous excitable media (2009)
Journal Article
Toth, R., De Lacy Costello, B., Stone, C., Masere, J., Adamatzky, A., & Bull, L. (2009). Spiral formation and degeneration in heterogeneous excitable media. Physical Review E, 79(3), 035101(R) (4 pages). https://doi.org/10.1103/PhysRevE.79.035101

Spontaneous spiral formation occurs when an excitation wave is input to a heterogeneous network of low- and high-light-intensity cells projected onto a light-sensitive Belousov-Zhabotinsky reaction. The range of network conditions where spirals form... Read More about Spiral formation and degeneration in heterogeneous excitable media.

If BZ medium did spanning trees these would be the same trees as Physarum built (2009)
Journal Article
Adamatzky, A. (2009). If BZ medium did spanning trees these would be the same trees as Physarum built. Physics Letters A, 373(10), 952-956. https://doi.org/10.1016/j.physleta.2008.12.070

A sub-excitable Belousov-Zhabotinsky (BZ) medium exhibits self-localized wave-fragments which may travel for relatively long time preserving their shape. Using Oregonator model of the BZ medium we imitate foraging behavior of a true slime mold, Physa... Read More about If BZ medium did spanning trees these would be the same trees as Physarum built.

Developing proximity graphs by physarum polycephalum: Does the plasmodium follow the toussaint hierarchy? (2009)
Journal Article
Adamatzky, A. (2009). Developing proximity graphs by physarum polycephalum: Does the plasmodium follow the toussaint hierarchy?. Parallel Processing Letters, 19(1), 105-127. https://doi.org/10.1142/S0129626409000109

Plasmodium of Physarum polycephalum spans sources of nutrients and constructs varieties of protoplasmic networks during its foraging behavior. When the plasmodium is placed on a substrate populated with sources of nutrients, it spans the sources with... Read More about Developing proximity graphs by physarum polycephalum: Does the plasmodium follow the toussaint hierarchy?.

Implementation of glider guns in the light-sensitive Belousov-Zhabotinsky medium (2009)
Journal Article
De Lacy Costello, B., Toth, R., Stone, C., Adamatzky, A., & Bull, L. (2009). Implementation of glider guns in the light-sensitive Belousov-Zhabotinsky medium. Physical Review E, 79(2), 026114. https://doi.org/10.1103/PhysRevE.79.026114

In cellular automata models a glider gun is an oscillating pattern of nonquiescent states that periodically emits traveling localizations (gliders). The glider streams can be combined to construct functionally complete systems of logical gates and th... Read More about Implementation of glider guns in the light-sensitive Belousov-Zhabotinsky medium.