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Self-replication is a fundamental feature of life. It was proposed that self-replication emerged in the evolution of life when a molecule similar to a double-stranded polynucleotide (possibly like RNA) dissociated into single-stranded polynucleotides and each of these acted as a template for synthesis of a complementary strand producing two double stranded copies. [4]
This last concept can be attributed to von Neumann's work on self reproducing automata, where he holds a self description necessary for any nontrivial (generalised) self reproducing system to avoid interferences. Von Neumann planned to design such a system for a model chemistry, too.
Von Neumann's System of Self-Replication Automata with the ability to evolve (Figure adapted from Luis Rocha's Lecture Notes at Binghamton University [6]).i) the self-replicating system is composed of several automata plus a separate description (an encoding formalized as a Turing 'tape') of all the automata: Universal Constructor (A), Universal Copier (B), operating system (C), extra ...
CA) is a discrete model of computation studied in automata theory. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessellation structures, and iterative arrays. [2] Cellular automata have found application in various areas, including physics, theoretical biology and ...
Christopher Langton made another tweak to Codd's cellular automaton in 1984 to create Langton's loops, exhibiting self-replication with far fewer cells than that needed for self-reproduction in previous rules, at the cost of removing the ability for universal computation and construction. [4]
The dynamics of the elementary hypercycle can be modelled using the following differential equation: [3] ˙ = (+,) where =, =. In the equation above, x i is the concentration of template I i; x is the total concentration of all templates; k i is the excess production rate of template I i, which is a difference between formation f i by self-replication of the template and its degradation d i ...
Video of Chris Langton demonstrating self reproducing loops. visual representation of several of the self-replicating loops in a Java applet; The Rule Table Repository has the transition tables for many of the CA mentioned above. Golly - supports Langton's Loops along with the Game of Life, and other rulesets.
Their original purpose was to provide insight into the logical requirements for machine self-replication, and they were used in von Neumann's universal constructor. Nobili's cellular automaton is a variation of von Neumann's cellular automaton, augmented with the ability for confluent cells to cross signals and store information.