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Cellular automata with fundamental spacetime representations have been used in anthropology, to model the formation of societies and in political science and sociology to explore civil violence. Cellular automata have been particularly useful in infusing geography into work in economics.
The most important aspect of a cellular automaton is the transition rule or transition function. This is what determines the evolution most. Of course the transition rule depends on the lattice geometry, the neighborhood, and the state set.
A cellular automaton (CA) is a collection of cells arranged in a grid of specified shape, such that each cell changes state as a function of time, ing to a defined set of rules driven by the states of neighboring cells.
In nature, especially in biology, accuracy of the automata may largely vary from cell to cell, from molecule to molecule; thus, an experimentally forced input 1 to the automata in biological system could be resulted in the corresponding outputs with statistically determined range of variance.
Many phenomena in nature can be described as cellular automata: white blood cells in the immune system, neurons in the brain, stomata cells in plants, or viruses propagating through a population.
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Cellular automata with fundamental spacetime representations have been used in anthropology, to model the formation of societies and in political science and sociology to explore civil violence. Cellular automata have been particularly useful in infusing geography into work in economics.
A cellular automata model was designed for urban growth to simulate the process of urbanization in a hypothetical region. This model consists of a set of rules that describe the spatial interaction of cells and a set of parameters that lead to explore different urban forms.
Roughly speaking, cell migration can be categorized into single-cell migration and collective cell migration. Each migration mode is then further sub-categorized into several different types of migration (Figure 1). Next to migration, cells can also display invasion.

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