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G. Schneckenreither, N. Popper, F. Breitenecker:
"Methods for Cellular Automata and Evolution Systems in Modelling and Simulation";
in: "Mathmod 2015 Vienna", 1; F. Breitenecker, A. Kugi, I. Troch (Hrg.); herausgegeben von: TU Wien; ARGESIM / ASIM, German Simulation Society, Division of German Society for Informatics and Life Sciences, Wien, 2015, ISBN: 978-3-901608-46-9, S. 34 - 35.

Cellular automata ar in many occasions preceivied and treated as natural systems consisting of a grid of cells with locally characterised dynamic behaviour. A partially differenct preception regards cellular automata as a method for modelling and simulation. Of course in both cases the basic ideas and the structure are mostly identical. In the latter case the conception of cellular automata is however used to depict a natural system as an abstract conceptual model and to describe the simplified system in a mathematical fashion. Also the term cellular automaton itself is controversial in this case.
A more abstract approach to cellular automata can be formalised in a functional analytic way as (locally characterised)evolution systems with parabolic partial differential equations or abstract evolution equations (Goldstein (1985) Engel und Nagel (2000))

http://publik.tuwien.ac.at/files/PubDat_246878.pdf