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Chemical Organizations at Different Spatial Scales
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Chemical Organizations at Different Spatial Scales
Pietro Speroni di Fenizio1, 2 and Peter Dittrich2 
| (1) |
ProtoLife, Parco Vega Via della Liberta’ 12, 30175, Marghera, Venezia, Italia |
| (2) |
Bio Systems Analysis Group, Department of Mathematics and Computer Science, Friedrich Schiller University Jena, D-07743 Jena, Germany |
Abstract
The dynamics of spatial reaction systems that consists of many molecular species can be difficult to understand. Here we introduce
a method that allows to observe the dynamics of a diverse spatial reaction system at different spatial scales. Using chemical
organization theory we define for a given spatial location its so called spatial organization, which is the organization generated
by the molecular species present in the neighborhood of this location. The scale determines the size of that neighborhood.
We show that at one scale, patterns become visible that can not be seen at a different scale. Furthermore, different scales
tend to map to different parts of the lattice of organizations; at small scales spatial organizations tend to be small (lower
part of the lattice of organizations) while at large scales spatial organizations tend to be large (upper part of the lattice
of organizations). Finally we show how the right scale can be selected by comparing the spatial reactor with its well-stirred
counterpart. The method is illustrated using an artificial chemistry.
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