Unveiling the Vitality of Life: A Model Inspired by Game of Life and Turing Patterns

[Source]

Ishida, Takeshi, Possibility of controlling self-organized patterns with totalistic cellular automata consisting of both rules like game of life and rules producing Turing patterns, Micromachines, 9, 339, (2018), https://doi.org/10.3390/mi9070339

[Research summary]

1. Unveiling Cellular Complexity: The Game of Life

The Game of Life, a cellular automaton model, demonstrates how intricate and diverse phenomena can emerge from a remarkably simple rule: a cell’s survival depends on the number of neighboring living cells.

2. Turing Patterns: Unveiling the Artistry of Nature

The Turing pattern model, a mathematical framework, elucidates the mechanisms underlying animal body pattern formation. Originally expressed using partial differential equations, it has also been successfully implemented within the cellular automaton paradigm.

3. A Fusion of Simplicity and Sophistication
A Cellular Automaton Model By merging the Game of Life and Turing pattern models within a cellular automaton framework, we create a novel model that captures the dynamic movements and inherent vitality of living organisms.

4. Unveiling the Dance of Life: Parameter Optimization
Fine-tuning the parameters w1 and w2 allows us to modulate the model’s behavior, generating patterns that exhibit the intricate and lifelike movements characteristic of living organisms.