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The onset of necrosis in a 3D cellular automaton model of EMT6 multi-cellular spheroids

Simon D. Angus, Monika J. Piotrowska (2010)

Applicationes Mathematicae

A 3-dimensional (3D) extension to a previously reported scaled 2-dimensional Cellular Automaton (CA) model of avascular multi-cellular spheroid growth is presented and analysed for the EMT6/Ro cell line. The model outputs are found to compare favourably with reported experimentally obtained data for in vitro spheroids of the same cell line. Necrosis (unprogrammed central cell death) is observed to be delayed when compared with the experimental data. Furthermore, it is found that necrosis arises...

Tree compression pushdown automaton

Jan Janoušek, Bořivoj Melichar, Martin Poliak (2012)

Kybernetika

A new kind of a deterministic pushdown automaton, called a Tree Compression Automaton, is presented. The tree compression automaton represents a complete compressed index of a set of trees for subtrees and accepts all subtrees of given trees. The algorithm for constructing our pushdown automaton is incremental. For a single tree with n nodes, the automaton has at most n + 1 states, its transition function cardinality is at most 4 n and there are 2 n + 1 pushdown store symbols. If hashing is used for storing...

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