Pattern Generation in Cellular Spaces

Robert Rosen
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Robert Rosen: Dalhousie University, Department of Physiology & Biophysics

A chapter in Biomathematics and Related Computational Problems, 1988, pp 399-407 from Springer

Abstract: Abstract Some years ago, we developed a formalism for the generation of patterns in populations of interacting elements, which we called morphogenetic networks. A very simple subclass of these networks comprise what have been called cellular spaces. In the present note, we show how the general formalism throws light on what can happen in cellular spaces, and in particular on the relation between invertibility of a pattern-generating process (which is a mathematical notion) and irreversibility (which pertains essentially to physics).

Keywords: Neighborhood Structure; Local Rule; Cellular Space; Initial Pattern; Mathematical Notion (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_35

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DOI: 10.1007/978-94-009-2975-3_35

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